CHAPTER TESTS
Chapter Tests 157
CHAPTER 1 NAME
TEST FORM A CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Evaluate
2a
b
for
6a=
and
4b=
.
2. Write an algebraic expression: One less than some number.
3. Find the area of a triangle when the height h is 9 in. and the base b
is 14 in.
4. Use the commutative law of addition to write an expression
equivalent to
95n+
.
5. Use the associative law of multiplication to write an expression
equivalent to
()
9ab⋅⋅
.
6. Translate to an equation. Do not solve.
Lance answered 112 calls. This was 42 more than Gary answered.
How many calls did Gary answer?
Multiply.
7.
()
31 p−
8.
()
56x−−+
Factor.
9.
424x−
10. 27 9 36xy++
11. Find the prime factorization of 480.
12. Simplify: 28
49 .
Write a true sentence using either < or >.
13.
08−
14.
32−−
Find the absolute value.
15.
3
4
16.
2.3−
17. Find the opposite of
14−
. 18. Find the reciprocal of
5
4
.
19. Find
y−
when y is 23.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
158 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 1 NAME
TEST FORM A CLASS_____SCORE_____GRADE
______________________________________________________________________________
ANSWERS
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
20. Write an inequality with the same meaning as
9p≤
.
Compute and simplify.
21.
3.8 7.1−−
22.
()
41081−+− ++
23.
33
58
§·
−−
¨¸
©¹
24.
()
313⋅−
25.
32
45
§·
−⋅−
¨¸
©¹
26.
10 5
93
§·
−÷−
¨¸
©¹
27.
()
3.406 0.2÷−
28.
() ( )
3
315 2 7 4−−−−
29.
()
12 3 10 14+− −−
30.
()()
210 7 3÷− ⋅−
31.
()
3
28365114−−−+
ªº
¬¼
32. Combine like terms:
12 15 6 11xppx+−+
.
33. Simplify:
()
2
5y−
.
Remove parentheses and simplify.
34.
()
492xx−+
35.
()
64 5 9 14xy x−+−
36.
() ( )
54 6 5 32 5yy−−+ +
ªº
¬¼
__________________________________________________________
37. Find
36a
b
−
when
10a=
and b is 3 more than one-half a.
38. Simplify:
()
{
}
5638ccccc−−−−ªº
¬¼
.
Chapter Tests 159
CHAPTER 1 NAME
TEST FORM B CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Evaluate
4
xy
+
for
11x=
and
5y=
.
2. Write an algebraic expression: Eight more than some number.
3. Find the perimeter of a square when side
11s=
in.
4. Use the commutative law of addition to write an expression
equivalent to
4pn+
.
5. Use the associative law of multiplication to write an expression
equivalent to
()
2yz⋅⋅
.
6. Translate to an equation. Do not solve.
Quint completed the race in 32 min. This was 4 min. shorter than
his previous time for the same course. What was his previous time?
Multiply.
7.
()
711 x−
8.
()
85x−−
Factor.
9.
62x−
10.
14 42 35pt++
11. Find the prime factorization of 162.
12. Simplify:
32
40
.
Write a true sentence using either < or >.
13.
33−
14.
28−−
Find the absolute value.
15.
1
5
16.
9.6−
17. Find the opposite of 12. 18. Find the reciprocal of
6−
.
19. Find
x−
when x is
7.9−
.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
160 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 1 NAME
TEST FORM B CLASS_____SCORE_____GRADE
______________________________________________________________________________
ANSWERS
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
20. Write an inequality with the same meaning as
6z≥
.
Compute and simplify.
21.
4.2 5.1−−
22.
()( )
67 123
−+− +− +
23.
41
73
§·
−−
¨¸
©¹
24.
()
614
⋅−
25.
29
310
§·
−⋅−
¨¸
©¹
26.
311
510
§·
−÷−
¨¸
©¹
27.
2.1652 0.4−÷
28.
() ( )
2
314 4 7 8−−−−
29.
()
5169 5
+−−−
30.
()()
169 13 13
÷− ⋅−
31.
()
3
43528154−−−+
ªº
¬¼
32. Combine like terms:
15 24 17 3xyxy+−+
.
33. Simplify:
()
4
3y−
.
Remove parentheses and simplify.
34.
()
683
xx−−
35.
()
92 8 7 5
ab a−+−
36.
() ( )
42 6 3 45 1yy−−+ −
ªº
¬¼
__________________________________________________________
37. Find
3
9
xy−−
when x is 8 and y is 1 less than half of x.
38. Simplify:
()
{
}
4925aaaaa−−−−ªº
¬¼
.
Chapter Tests 161
CHAPTER 1 NAME
TEST FORM C CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Evaluate
3
xy
−
for
14x=
and
2y=
.
2. Write an algebraic expression: Ten times some number plus eight.
3. Find the perimeter of a rectangle when length
8l=
cm and width
5w=
cm.
4. Use the commutative law of addition to write an expression
equivalent to
32yz+
.
5. Use the associative law of multiplication to write an expression
equivalent to
()
3
xy⋅⋅
.
6. Translate to an equation. Do not solve.
Taryn drove 158 mi of a 275 mi trip. Ben drove the remainder of
the trip. How far did Ben drive?
Multiply.
7.
()
43
p−
8.
()
36
z−−
Factor.
9.
96fg+
10.
12 4 32ab++
11. Find the prime factorization of 525.
12. Simplify:
12
32
.
Write a true sentence using either < or >.
13.
90−
14.
1.3 1.2−−
Find the absolute value.
15.
8
11
16.
8.6
−
17. Find the opposite of
18−
. 18. Find the reciprocal of 2.
19. Find
q−
when q is
18.6−
.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
162 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 1 NAME
TEST FORM C CLASS_____SCORE_____GRADE
______________________________________________________________________________
ANSWERS
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
20. Write an inequality with the same meaning as
4a<−
.
Compute and simplify.
21.
2.4 0.8−−
22.
()
57 9 2
−+ +− +
23.
23
37
§·
−−
¨¸
©¹
24.
()
511
⋅−
25.
47
512
§·
⋅−
¨¸
©¹
26.
62
11 5
§·
−÷−
¨¸
©¹
27.
()
1.785 0.6
÷−
28.
()()
4
411 35 2−−−−
29.
()
863 4
+−−−
30.
()
384 8 4
÷− ⋅
31.
()
2
84625123−−−+
ªº
¬¼
32. Combine like terms:
32 18 43 7pq pq−− +
.
33. Simplify:
()
6
2x−
.
Remove parentheses and simplify.
34.
()
849
xx−−
35.
()
73 11 4 9
xyx−+−
36.
() ( )
37 4 2 52 3yy−+− +
ªº
¬¼
__________________________________________________________
37. Find
32
5
ts−
when s is 3 and t is two times s.
38. Simplify:
()
{
}
5826mmmmm−−−−ªº
¬¼
.
Chapter Tests 163
CHAPTER 1 NAME
TEST FORM D CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Evaluate
4m
n
for
6m=
and
3n=
.
2. Write an algebraic expression: Nine less than some number.
3. Find the area of a rectangle when the length l is 8 cm and the
width w is 5 cm.
4. Use the commutative law of multiplication to write an expression
equivalent to
4m⋅
.
5. Use the associative law of addition to write an expression
equivalent to
()
563
pk++
.
6. Translate to an equation. Do not solve.
Teresa raised $945 for charity and Josh raised $279 less than
Teresa. How much money did Josh raise?
Multiply.
7.
()
93
z−
8.
()
210
y−−
Factor.
9.
63m+
10.
28 12 8ps+−
11. Find the prime factorization of 180.
12. Simplify:
50
375
.
Write a true sentence using either < or >.
13.
584−
14.
45−−
Find the absolute value.
15.
5
8
16.
4.7
−
17. Find the opposite of 9. 18. Find the reciprocal of
1
2
−
.
19. Find
q−
when q is
7.1−
.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
164 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 1 NAME
TEST FORM D CLASS_____SCORE_____GRADE
______________________________________________________________________________
ANSWERS
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
20. Write an inequality with the same meaning as
8x≤−
.
Compute and simplify.
21.
8.5 6.3−−
22.
() ()
71186
+− + +−
23.
72
10 3
§·
−−
¨¸
©¹
24.
()
812
⋅−
25.
31
59
§·
−⋅−
¨¸
©¹
26.
73
84
§·
−÷−
¨¸
©¹
27.
3.923 0.5−÷
28.
() ()
2
217 46 5−−−−
29.
()
9118 7
+−−−
30.
()()
132 11 4
÷− ⋅−
31.
()
2
54526133−−−+
ªº
¬¼
32. Combine like terms:
15 19 24 11acca+−+
.
33. Simplify:
()
3
2y−
.
Remove parentheses and simplify.
34.
()
463
xx−+
35.
()
53 6 2 11
ab a−+−
36.
() ( )
54 3 6 42 6xx+−− +
ªº
¬¼
__________________________________________________________
37. Find
4
3
xy−
when
2x=
and y is 5 less than two times x.
38. Simplify:
()
{
}
2635kkkkk−−−−ªº
¬¼
.
Chapter Tests 165
CHAPTER 1 NAME
TEST FORM E CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Evaluate
2
yx
−
for
11y=
and
7x=
.
2. Write an algebraic expression: Seven times some number.
3. Find the area of a rectangle when the length l is 12 in. and the
width w is 7 in.
4. Use the commutative law of multiplication to write an expression
equivalent to
xy⋅
.
5. Use the associative law of addition to write an expression
equivalent to
()
243
xy++
.
6. Translate to an equation. Do not solve.
In 2008, McNeil’s Ltd. had $2.3 million in sales. This was
$0.6 million more than the previous year’s sales. What were sales
in 2007?
Multiply.
7.
()
82
y−
8.
()
77
a−−
Factor.
9.
915ab+
10.
18 6 24xz++
11. Find the prime factorization of 600.
12. Simplify:
42
66
.
Write a true sentence using either < or >.
13.
1.6 1.5−
14.
19−−
Find the absolute value.
15.
5
6
−
16.
8.4
17. Find the opposite of
17−
. 18. Find the reciprocal of
3
4
−
.
19. Find
q−
when q is 14.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
166 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 1 NAME
TEST FORM E CLASS_____SCORE_____GRADE
______________________________________________________________________________
ANSWERS
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
20. Write an inequality with the same meaning as
7x−≤
.
Compute and simplify.
21.
4.7 5.8−−
22.
()()
95 410
+− +− +
23.
31
46
§·
−−
¨¸
©¹
24.
()
79
⋅−
25.
15
28
§·
−⋅−
¨¸
©¹
26.
34
87
§·
−÷−
¨¸
©¹
27.
()
3.724 0.8
÷−
28.
() ()
5
67 511−− −−
29.
()
10 7 5 6
+−−−
30.
()
196 14 2
÷− ⋅
31.
()
3
326 8114−−−+
ªº
¬¼
32. Combine like terms:
26 40 32 9tsst−++
.
33. Simplify:
()
5
2t−
.
Remove parentheses and simplify.
34.
()
952
xx−−
35.
()
63 5 2 9
ab a−+−
36.
() ()
242 1 2 34 1yy+− + −
ªº
¬¼
__________________________________________________________
37. Find
4
7
st−
when s is 9 and t is 3 less than twice s.
38. Simplify:
()
{
}
458nnnnn−−−−ªº
¬¼
.
Chapter Tests 167
CHAPTER 1 NAME
TEST FORM F CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Evaluate
3
xy
for
6x=
and
2y=
.
2. Write an algebraic expression: Eleven more than some number.
3. Find the area of a triangle with base
24b=
in. and height
5h=
in.
4. Use the commutative law of addition to write an expression
equivalent to
2ab+
.
5. Use the associative law of multiplication to write an expression
equivalent to
()
4
pq⋅⋅
.
6. Translate to an equation. Do not solve.
In May, Georgette used 411 kwh of electricity. This was 38 fewer
than she used in March. How many kilowatt hours of electricity did
she use in March?
Multiply.
7.
()
58
a−
8.
()
64
x−−
Factor.
9.
42 7x−
10.
25 15 40ab++
11. Find the prime factorization of 168.
12. Simplify:
48
60
.
Write a true sentence using either < or >.
13.
51−
14.
78−−
Find the absolute value.
15.
1
6
16.
10.5
−
17. Find the opposite of
29−
. 18. Find the reciprocal of
2
3
.
19. Find
q−
when q is
4.8−
.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
168 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 1 NAME
TEST FORM F CLASS_____SCORE_____GRADE
______________________________________________________________________________
ANSWERS
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
20. Write an inequality with the same meaning as
5q>−
.
Compute and simplify.
21.
6.6 4.9−−
22.
()
83 11 14
−+ +− +
23.
57
812
§·
−−
¨¸
©¹
24.
()
38
⋅−
25.
43
98
§·
−⋅−
¨¸
©¹
26.
49
77
§·
−÷−
¨¸
©¹
27.
1.785 0.2−÷
28.
() ( )
2
58 4 2 3−−−−
29.
()
895 7
+−−−
30.
()
144 6 12
÷− ⋅
31.
()
2
432 5123−−−+
ªº
¬¼
32. Combine like terms:
21 14 17 32abba+−−
.
33. Simplify:
()
3
4x−
.
Remove parentheses and simplify.
34.
()
438
xx−+
35.
()
34 7 9 12
pq p−+−
36.
() ( )
63 2 8 45 3xx−+− −
ªº
¬¼
__________________________________________________________
37. Find 618p
q
+ when
2p=−
and q is 2 more than four times p.
38. Simplify:
^`
2694dddddªº
¬¼
.
Chapter Tests 169
CHAPTER 1 NAME
TEST FORM G CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Evaluate 21x
y
+ when
7x=
,
3y=
.
a) 5 b)
28
3
c) 1 d)
16
3
2. Write an algebraic expression: Two less than half a number.
a)
1
22x
−
b)
1
22
x−
c)
12
2x−
d)
()
12
2x−
3. Find the area of a rectangle when the length l is 20 ft and the
width w is 15 ft.
a) 70 ft
2
b) 150 ft
2
c) 600 ft
2
d) 300 ft
2
4. Multiply:
()
63x
−
.
a)
63x−
b)
63x+
c)
618x+
d)
618x−
5. Factor:
842xy−+
.
a)
()
24 2xy
−
b)
()
24 2 1xy
−+
c)
()
42 1xy
−+
d)
()
824xy
−+
6. Find the prime factorization of 420.
a)
2357⋅⋅⋅
b)
6710⋅⋅
c)
22357⋅⋅⋅⋅
d)
23357⋅⋅⋅⋅
7. Find the absolute value.
3.7
−
a)
3.7−
b) 3.7 c) 4 d) 3
8. Find the reciprocal of
7−
.
a)
1
7
−
b) 7 c)
1
7
d)
4
9
−
9. Find
x
−
when
3x=−
.
a)
1
3
−
b)
1
3
c) 3 d)
3−
10. Compute and simplify:
4.3 9.1−−
.
a) 4.8 b) 13.4 c)
14.4−
d)
13.4−
11. Compute and simplify:
()
246 3
+−−−
.
a) 3 b)
3−
c)
10−
d)
5−
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
170 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 1 NAME
TEST FORM G CLASS_____SCORE_____GRADE
______________________________________________________________________________
ANSWERS
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
12. Multiply:
()
512
⋅−
.
a)
7−
b) 60 c)
60−
d) 7
13. Divide:
43
510
§·§ ·
−÷−
¨¸¨ ¸
©¹© ¹
.
a)
6
25
b)
8
3
c)
8
3
−
d)
3
8
14. Compute and simplify:
56423÷÷−
.
a) 4 b) 25 c)
14−
d) 5
15. Compute and simplify:
23
58
§·
−−
¨¸
©¹
.
a)
15
13
b)
31
40
c)
34
40
d)
1
40
16. Compute and simplify:
()
2
46238−−−
ªº
¬¼
.
a) 70 b)
26−
c)
38−
d)
34−
17. Combine like terms:
4562xyxy+−+
.
a)
10 3xy+
b)
23xy−+
c)
22
24 10xy−+ d)
27xy−+
18. Simplify:
()
3
3x−
.
a)
3
9x−
b)
3
27x
c)
3
27x−
d)
3
3x−
19. Remove parentheses and simplify:
()
32 6 7abab
−−+
.
a)
5ab+
b)
42ab−
c)
511ab−
d)
611ab−
20. Remove parentheses and simplify:
() ( )
23 4 1 32 4xx−+− +
ªº
¬¼
.
a)
34−
b)
12 10x−
c)
18−
d)
35−
__________________________________________________________
21. Simplify:
()
{
}
4625ttttt−−−−ªº
¬¼
.
a)
16t−
b)
6t
c) 0 d)
18t
22. Find
83
3
yx−
when
15y=
and x is 2 more than one-third y.
a) 113 b)
11
3
c) 273 d) 33
Chapter Tests 171
CHAPTER 1 NAME
TEST FORM H CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Evaluate 53x
y
− when
6x=
,
3y=
.
a)
53
3
b) 7 c) 11 d) 9
2. Write an algebraic expression: Five more than the product of two
numbers.
a)
5xy++
b)
5xy+
c)
52x+
d) 5x
y
+
3. Find the area of a triangle when the height h is 10 ft and the
base b is 6 ft.
a) 60 ft
2
b) 32 ft
2
c) 30 ft
2
d) 120 ft
2
4. Multiply:
()
34 2x
+
.
a)
12 2x+
b)
75x+
c)
24x
d)
12 6x+
5. Factor:
32 4 16xz−+
.
a)
()
84 2 8xz
−+
b)
()
16 2 4 1xz
−+
c)
()
48 4xz
−+
d)
()
216 8xz
−+
6. Find the prime factorization of 300.
a)
22355⋅⋅⋅⋅
b)
10 30⋅
c)
23355⋅⋅⋅⋅
d)
2355⋅⋅⋅
7. Find the absolute value:
7.9
−
.
a) 8 b)
7.9−
c) 7 d) 7.9
8. Find the reciprocal of
4
3
.
a)
4
3
−
b)
3
4
c)
3
4
−
d) 1
9. Find
x
−
when
15x=
.
a) 15 b)
1
15
c)
15−
d)
1
15
−
10. Compute and simplify:
7.4 10.3−−
.
a)
17.7−
b)
3.1−
c) 2.9 d)
2.9−
11. Compute and simplify:
8254−+ − −
.
a) 3 b)
7−
c)
9−
d)
15−
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
172 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 1 NAME
TEST FORM H CLASS_____SCORE_____GRADE
______________________________________________________________________________
ANSWERS
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
12. Multiply:
()
612
−⋅
.
a)
6−
b)
62−
c)
72−
d) 72
13. Divide:
26
311
−÷
.
a)
1
11
−
b)
11
9
−
c)
11
9
d)
9
11
−
14. Compute and simplify:
18 3 2 4÷⋅−
.
a) 8 b)
1−
c)
3−
d)
12−
15. Compute and simplify:
57
310
§·
−−
¨¸
©¹
.
a)
29
30
b)
12
13
c)
85
30
d)
71
30
16. Compute and simplify:
()
2
542610−−−
ªº
¬¼
.
a)
14−
b) 126 c) 1 d) 81
17. Combine like terms:
38 23xyxy−+−
.
a)
55xy−
b)
511xy−
c)
5xy+
d)
22
624xy+
18. Simplify:
()
5
2x−
.
a)
5
32x−
b)
5
10x−
c)
5
2x−
d)
5
32x
19. Simplify:
()
43 2 3 6ab ab
−−+
.
a)
48ab+
b)
92ab−
c)
94ab+
d)
914ab+
20. Simplify:
() ( )
32 4 5 23 1xx+−− +
ªº
¬¼
.
a) 17 b)
12 7x+
c) 7 d) 5
__________________________________________________________
21. Simplify:
()
{
}
2485wwwww−−−−ªº
¬¼
.
a)
6w
b)
18w−
c)
20w
d) 0
22. Find
65
11
yx−
−
when
15y=
and x is 2 more than one-third y.
a)
5−
b)
55−
c) 20 d) 5
Chapter Tests 173
CHAPTER 2 NAME
TEST FORM A CLASS_____SCORE_____GRADE
Solve. Label any contradictions or identities.
1.
421x+=
2. 10 40y−=
3.
515
6n=−
4.
3749xx−= +
5.
15 2
63 3
t−=−
6.
97z−− =−
7.
2.6 3.2 7.6 4.9xx−=−
8.
()
3139t+=
9.
()
1532
6y+=
10.
464243ttt
Solve. Write the answers in set-builder notation and interval notation.
11.
43x
+>−
12.
8479xx
+< −
13.
832y
−≤
14.
32 17x
+≥−
15.
38 59x
−>
16.
311
422
yy
−≤
17.
38 632tt
−≤ +
Solve each formula for the given letter.
18.
2,Cr
π
=
for r 19.
47,yx
=+
for x
20. Find decimal notation: 425%.
21. Find percent notation: 0.037.
22. What number is 32% of 40?
23. What percent of 112 is 14?
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
174 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 2 NAME
TEST FORM A CLASS_____SCORE_____GRADE
ANSWERS
24. See graph.
25. See graph.
26.
27.
28.
29.
30.
31.
32.
Graph on the number line.
24.
1t
>
25.
02x
≤≤
Solve.
26. MacKenzie buys wood to make a rectangular planter. The
perimeter of the planter will be 94 in. The length of the planter is to
be 17 in. more than the width. Find the width and length the planter
will be.
27. Hank and Rashad are walking the Appalachian Trail from Maine
southward through Maryland for a distance of about 1164 miles.
They have hiked three times as many miles as they have left to go.
How many miles do they still have to walk?
28. The perimeter of a triangle is 72 ft. If the sides are consecutive
even integers, find the length of each side.
29. Martha had her eye on an expensive fake fur coat. When the coat
went on sale for 40% off, she bought it and paid $270. What was
the original price of the coat?
30. Kelby plans to move himself to another town in Texas by renting a
truck and making several trips. He can rent a small truck for a daily
rate of $53.95 plus $0.48 per mile. If he takes two days to move,
express as an inequality the number of miles he can drive and still
stay within his $250 budget.
__________________________________________________________
31. Solve for y:
34yxyz
−= +
.
32. Five members of the graduating class volunteered to pay for the
food at their ten-year college reunion. Renee paid two fifths of the
cost, Hector paid 19% of the cost, Tyrone paid $450, Macon paid
one fourth of the cost, and Sheila paid $350. What was the total
cost of the food for the reunion?
Chapter Tests 175
CHAPTER 2 NAME
TEST FORM B CLASS_____SCORE_____GRADE
Solve. Label any contradictions or identities.
1.
813x
+=
2.
535x
−=
3.
315
4n
−=
4.
55620tt
−= +
5.
116
277
t
−=
6.
36t
−=−
7.
3.6 4.5 3.1 4.4xx
+=−
8.
()
5240x−=
9.
()
34812
7a
+=
10.
44 3 10 10 6ttt
Solve. Write the answers in set-builder notation and interval notation.
11.
63x
+>
12.
72611xx
−> −
13.
530y
−≥−
14.
43 29x
+≥−
15.
45 44x
−>
16.
251
363
yy
−≤
17.
12 254tt
−≤ +
Solve each formula for the given letter.
18.
2
,Vrh
π
= for h 19.
34,yx
=−
for x
20. Find decimal notation: 264%.
21. Find percent notation: 0.064.
22. What number is 42% of 60?
23. What percent of 25 is 11?
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
176 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 2 NAME
TEST FORM B CLASS_____SCORE_____GRADE
ANSWERS
24. See graph.
25. See graph.
26.
27.
28.
29.
30.
31.
32.
Graph on the number line.
24.
2t
<
25.
42x
−≤ ≤
Solve.
26. Chloe and Pete buy a rectangular entertainment center for their den.
The perimeter of the entertainment center is 28 ft. The width is 2 ft
more than the height. Find the width and the height of the
entertainment center.
27. Mary Grace needs 124 credits to graduate. If she still needs three
times as many credits as she has earned so far, how many credits
has she earned so far?
28. The perimeter of a triangle is 273 ft. If the sides are consecutive
integers, find the length of each side.
29. When Ryan started a daily exercise routine, he lost 18% of his
weight. He now weighs 180.4 pounds. What was Ryan’s weight
before he began to exercise?
30. Dolly wants to transport furniture from a store to her daughter’s
new condo. She can rent a truck for a daily rate of $39.95 plus
$0.39 per mile. Express as an inequality the number of miles she
can drive in one day and stay within $80.
__________________________________________________________
31. Solve for t:
6satbt
=+−
.
32. Solve:
4618w−=
.
Chapter Tests 177
CHAPTER 2 NAME
TEST FORM C CLASS_____SCORE_____GRADE
Solve. Label any contradictions or identities.
1.
522x
+=
2.
728x
=−
3.
220
5n
−=−
4.
9488yy
+= −
5.
125
533
t
+=
6.
417y
−− =
7.
1.5 1.6 10.4 4.5xx
−= −
8.
()
6396x+=
9.
()
37210
4a
+=
10.
13 1 8 8 5ttt
Solve. Write the answers in set-builder notation and interval notation.
11.
46x
−>
12.
6953xx
+> +
13.
218y
−≤−
14.
54 19x
+≥−
15.
72 39x
−>
16.
125
336
yy
−≤
17.
79 182tt
−≤+
Solve each formula for the given letter.
18.
1,
2
Abh
=
for h 19.
,
2
Pl
w
+
=
for P
20. Find decimal notation: 301%.
21. Find percent notation: 0.058.
22. What number is 27% of 80?
23. What percent of 40 is 28?
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
178 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 2 NAME
TEST FORM C CLASS_____SCORE_____GRADE
ANSWERS
24. See graph.
25. See graph.
26.
27.
28.
29.
30.
31.
32.
Graph on the number line.
24.
2t
>−
25.
51x
−≤ ≤
Solve.
26. The perimeter of Carissa’s new rectangular light board is 78 in.
The length is 5 in. more than the width. Find the length and the
width of the light board.
27. Ron is driving in a 260-mile car rally from Nevada to California.
He has four times as many miles to go as he has already driven.
How many miles has he driven so far?
28. The perimeter of a triangle is 63 cm. If the sides are consecutive
odd integers, find the length of each side.
29. The Jamison family made a decision to reduce their weekly
television viewing by 40%. They now watch 12 hours of TV a
week. How many hours a week did they watch before their
decision?
30. Glen plans to rent a moped for a day trip along the Champlain
Islands. The rental costs $35 a day plus $0.25 a mile. Express as
an inequality the number of miles Glen can ride and still stay within
his $60 budget.
__________________________________________________________
31. Solve for b:
()
2
h
Abc
=+
.
32. Solve:
5439z+=
.
Chapter Tests 179
CHAPTER 2 NAME
TEST FORM D CLASS_____SCORE_____GRADE
Solve. Label any contradictions or identities.
1.
319x
+=
2.
436t
=−
3.
312
8n
−=
4.
4537aa
−= +
5.
147
733
x
+=
6.
10 13x
−=
7.
3.2 1.4 2.3 6.8xx
−=−
8.
()
4564y−=
9.
()
284 5
3t
−=
10.
823165tt t
Solve. Write the answers in set-builder notation and interval notation.
11.
24x
−>
12.
10 3 9 6xx
+< −
13.
721y
−≤−
14.
35 17x
+≥−
15.
83 26x
−>
16.
131
244
yy
+≤
17.
10 82 5tt
−≤ +
Solve each formula for the given letter.
18.
,Vlwh
=
for w 19.
,
3
abc
A
++
=
for a
20. Find decimal notation: 157%.
21. Find percent notation: 0.093.
22. What number is 45% of 80?
23. What percent of 85 is 17?
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
180 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 2 NAME
TEST FORM D CLASS_____SCORE_____GRADE
ANSWERS
24. See graph.
25. See graph.
26.
27.
28.
29.
30.
31.
32.
Graph on the number line.
24.
4t
<
25.
11x
−≤ ≤
Solve.
26. Keegan buys a birthday card for his mother. The perimeter of the
card is 52 cm. The length of the card is 6 cm more than the width.
Find the width and length of the card.
27. Mary is walking the Appalachian Trail from Georgia northward
through part of Pennsylvania for a distance of about 1266 miles.
Mary has twice as many miles to go as she has already walked.
How many miles has she walked so far?
28. The perimeter of a triangle is 324 mm. If the sides are consecutive
integers, find the length of each side.
29. The Whites replaced the old windows in their 100-year-old
farmhouse with energy-efficient double-pane glass windows. Their
new December heating bill was reduced by 18% to $310.40. What
was their previous December heating bill before the installation of
the new windows?
30. On the four tests that Cooper has taken in his Latin class, he earned
scores of 86, 90, 92, and 80. Express as an inequality the scores
Cooper can get on the fifth test to score at least an 88 overall
average.
__________________________________________________________
31. Solve for q:
()
57qmq r=− +
.
32. Four friends shared the jumbo-size French fries at their favorite
restaurant. Matt ate three eighths of the fries, Lu ate 25 fries,
LaTonya ate one fifth of the fries, and Rick ate three tenths of the
fries. How many French fries were in the jumbo-size order?
Chapter Tests 181
CHAPTER 2 NAME
TEST FORM E CLASS_____SCORE_____GRADE
Solve. Label any contradictions or identities.
1.
917x
+=
2.
324y
=−
3.
416
5n
=−
4.
71164tt
+=+
5.
151
466
y
−=
6.
11 23x
−=
7.
2.5 4.3 2.1 1.9xx
−=−
8.
()
2732t−+=
9.
()
23316
9z
−=
10.
43 3127ttt
Solve. Write the answers in set-builder notation and interval notation.
11.
42x
+>
12.
5644xx
−< −
13.
321y
−≤
14.
64 34x
+≥−
15.
97 51x
−>
16.
111
422
yy
+≤
17.
63 545tt
−≤ +
Solve each formula for the given letter.
18.
,Fma
=
for a 19.
1.8 32,FC
=+
for C
20. Find decimal notation: 213%.
21. Find percent notation: 0.023.
22. What number is 64% of 120?
23. What percent of 72 is 54?
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
182 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 2 NAME
TEST FORM E CLASS_____SCORE_____GRADE
ANSWERS
24. See graph.
25. See graph.
26.
27.
28.
29.
30.
31.
32.
Graph on the number line.
24.
3t
>−
25.
23x
−≤ ≤
Solve.
26. The perimeter of Imani’s rectangular yard is 612 ft. The width is
24 ft less than the length. Find the width and length of her yard.
27. C.J. wants to buy a portable music player for $429. He needs an
additional four and a half times the money he has already saved
toward his purchase. How much money has C.J. saved for the
player?
28. The perimeter of a triangle is 222 in. If the sides are consecutive
integers, find the length of each side.
29. When a school bond issue failed to pass, a city cut its per-student
school budget by 8%. The per-student expenditure is now
$6160.32. What was this expenditure before the tax cut?
30. Brian has taken four Chemistry tests on which he earned scores of
54, 76, 82, and 79. Express as an inequality the grades he can score
on the fifth test to earn a final average of at least 75.
__________________________________________________________
31. Solve for w:
()
400 wL
Rr
N
−
=+ .
32. Solve:
6858t−=
.
Chapter Tests 183
CHAPTER 2 NAME
TEST FORM F CLASS_____SCORE_____GRADE
Solve. Label any contradictions or identities.
1.
814x
+=
2.
972z
=−
3.
212
3n
−=−
4.
49311zz
+= −
5.
131
344
y
−=
6.
524x
−=
7.
3.4 2.1 1.5 3.2xx
+=−
8.
()
7414z−=
9.
()
42413
5x
−=
10.
12 1 6 14 6tt t
Solve. Write the answers in set-builder notation and interval notation.
11.
23x
+>
12.
3422xx
+> −
13.
436y
−≤
14.
13 23x
+≥−
15.
26 56x
−>
16.
313
488
yy
−≤
17.
54 45tt
−≤ +
Solve each formula for the given letter.
18.
2
1,
2
dgt
=
for g 19.
,
2
cd
Q
+
=
for c
20. Find decimal notation: 127%.
21. Find percent notation: 0.017.
22. What number is 24% of 60?
23. What percent of 50 is 43?
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
184 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 2 NAME
TEST FORM F CLASS_____SCORE_____GRADE
ANSWERS
24. See graph.
25. See graph.
26.
27.
28.
29.
30.
31.
32.
Graph on the number line.
24.
1t
<−
25.
33x
−≤ ≤
Solve.
26. Dawson orders a rectangular print from a museum store. The
perimeter of the print is 34 in. If the length is 7 in. more than the
width, find the width and length of the print.
27. Giles is biking the Mississippi River Trail through Missouri, a
distance of about 390 miles. Giles still has five times as many
miles to go as he has already ridden. How many miles has he biked
so far?
28. The perimeter of a triangle is 327 cm. If the sides are consecutive
odd integers, find the length of each side.
29. Andrew and Melissa cut their weekly grocery bills by 22% when
they stopped buying snack foods and soft drinks. Their new weekly
grocery bill is $118.56. How much money did they spend weekly
on groceries when they bought snack foods and soft drinks?
30. Some friends plan to rent a mini-van for a four-day trip through
New England. The rental cost is $53.50 per day plus $0.24 a mile.
Express as an inequality the number of miles they can travel and
stay within their $600 budget.
__________________________________________________________
31. Solve for t:
2
4
kt
Pt
=+
.
32. Four neighbors had an end-of-summer yard sale together. The
Malones made one fourth of the total income, the Coronados made
$800, the Carvers made three eighths of the income, and the
Petrovicks made $325. What was the total income from the yard
sale?
Chapter Tests 185
CHAPTER 2 NAME
TEST FORM G CLASS_____SCORE_____GRADE
1. Solve:
12 31x
.
a) 19 b) 43 c)
19
d)
43
2. Solve:
312
4x
.
a) 16 b)
16
c) 9 d)
9
3. Solve:
314
455
x
.
a)
4
5
b)
3
4
c)
9
20
d)
4
3
4. Solve:
311y
.
a)
8
b) 8 c)
9
d)
33
5. Solve:
1.3 2.4 1.5 3.2xx
.
a)
5
b)
9
19
c)
1
5
d)
19
9
6. Solve:
3
42943
2ttt
§·
¨¸
©¹
.
a) All real numbers b) No solution
c)
3
−
d) 3
7. Solve:
()
32130
4x
−=
.
a)
62
3
b)
47
4
c)
1
2
d)
41
2
8. Solve:
5484xx
+<+
.
a)
{
}
4xx<
b) 4
9
xx
½
<
®¾
¯¿
c)
{
}
4xx<−
d)
{
}
2xx<
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
186 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 2 NAME
TEST FORM G CLASS_____SCORE_____GRADE
ANSWERS
9.
10.
11.
12.
13.
14.
15.
9. Solve:
672x≥
.
a)
(
]
,12−∞
b)
[
)
12, ∞
c)
(
]
,66−∞
d)
()
12, ∞
10. Solve:
38 11n+>−
.
a)
{
}
1nn>−
b) 19
3
nn
½
<−
®¾
¯¿
c) 19
3
nn
½
>−
®¾
¯¿
d)
{
}
1nn<−
11. Solve:
3456tt+> −
.
a)
()
5, ∞
b)
(
]
,5−∞
c)
()
,1−∞ −
d)
()
,5−∞
12. Solve:
824y−≥−
.
a)
{
}
16yy≥−
b)
{
}
3yy≤
c)
{
}
3yy≥
d)
{
}
3yy≤−
13. Solve for h:
2
A
rh
π
=
.
a)
2hA r
π
=+
b)
2
A
hr
π
=
c)
2A
hr
π
=
d)
2
A
hr
π
−
=
14. Find decimal notation: 105%.
a) 1.05 b) 0.105 c) 10.5 d) 0.00105
15. Find percent notation: 0.152.
a) 1.52% b) 152% c) 15.2% d) 0.152%
Chapter Tests 187
CHAPTER 2 NAME
TEST FORM G CLASS_____SCORE_____GRADE
16. What number is 15% of 40?
a) 0.375 b) 600 c)
266.6
d) 6
17. What percent of 60 is 12?
a) 20% b) 5% c) 500% d) 7.2%
18. Graph:
23x−< ≤
.
a) b)
c) d)
19. Alex bought a rectangular rug for his new apartment. The
perimeter of the rug is 480 in. The length is 48 in. more than the
width. Find the length of the rug.
a) 96 in. b) 144 in. c) 192 in. d) 288 in.
20. Chris is taking a 58-mile river canoe trip. She has three times as
many miles to go as she has already paddled. How many miles of
the canoe trip has she already completed?
a)
2
38 3
mi b) 14.5 mi c)
1
19 3
mi d) 43.5 mi
21. By lowering the thermostat temperature in her house by 2º, Jane
reduced her average January heating bill by 18% to $308.78. What
was her January heating bill before Jane reduced the temperature?
a) $376.56 b) $253.20 c) $1715.44 d) $364.36
ANSWERS
16.
17.
18.
19.
20.
21.
188 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 2 NAME
TEST FORM G CLASS_____SCORE_____GRADE
ANSWERS
22.
23.
24.
25.
22. Graph:
2y<
.
a) b)
c) d)
23. Subway service in Boston, MA costs $2.50 per trip (one way) if
using a ticket or cash-on-board. A monthly pass costs $70.
Express as an inequality the number of one-way trips in a month
Joy must take if the pass is to save her money.
a) Less than 28 trips b) More than 27 trips
c) Less than 29 trips d) More than 28 trips
__________________________________________________________
24. Solve:
4642x−=
.
a) 12 b)
9, 9−
c)
12,12−
d)
16,16−
25. Solve for x: 53
47
xy
zxy
+
=−.
a)
37
45
yyz
xz
−
=−
b)
510
4
x
xz
+
=
c)
37
45
yyz
xz
+
=−
d)
537
4
xyyz
xz
++
=
Chapter Tests 189
CHAPTER 2 NAME
TEST FORM H CLASS_____SCORE_____GRADE
1. Solve:
521x+=
.
a) 16 b) 26 c)
16−
d) 4.2
2. Solve:
2150
3x−=−
.
a)
225−
b) 100 c)
100−
d) 225
3. Solve:
341
855
x−−=
.
a)
8
3
b)
8
3
−
c)
3
8
−
d)
8
5
4. Solve:
6485tt−=+
.
a) 4 b)
4
11
c) 12 d)
1
12
5. Solve:
1.5 2.4 3.9 1.2xx−=−
.
a) 5 b)
7
3
c)
5
9
d) 21
6. Solve:
(
)
(
)
28 1 14 2 2ttt
−= −−
.
a) All real numbers b) No solution
c) 7 d)
8
7. Solve:
()
43 5 4xx−= +
.
a) 0 b) 1 c)
8
−
d)
2−
8. Solve:
()
26512
3x+=
.
a)
13
6
b)
1
2
c)
5
6
−
d)
19
18
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
190 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 2 NAME
TEST FORM H CLASS_____SCORE_____GRADE
ANSWERS
9.
10.
11.
12.
13.
14.
15.
9. Solve:
954x−≤−
.
a)
(
]
,45−∞ −
b)
[
)
6, ∞
c)
(
]
,6−∞
d)
()
6, ∞
10. Solve:
35 19n−≤−
.
a) 14
3
nn
½
≥−
®¾
¯¿
b)
{
}
8nn≤−
c) 14
3
nn
½
≤−
®¾
¯¿
d)
{
}
8nn≥−
11. Solve:
8425tt+> +
.
a)
()
6, ∞
b)
1,
6
§·
∞
¨¸
©¹
c)
3,
2
§·
∞
¨¸
©¹
d)
1,
6
ª·
∞¸
«
¬¹
12. Solve:
856y
−≥
.
a)
{
}
64yy
≥
b)
{
}
7yy
≤
c)
{
}
7yy
≤−
d)
{
}
7yy
≥−
13. Solve for y:
34 7xy
+=
.
a)
7
34
yx
=+
b)
37
4
x
y
−+
=
c)
3
74
x
y
=−
d)
73
4
x
y
+
=
14. Find decimal notation: 150%.
a) 150.0 b) 15.0 c) 1.5 d) 0.15
15. Find percent notation: 0.002.
a) 2% b) 0.2% c) 0.02% d) 20%
Chapter Tests 191
CHAPTER 2 NAME
TEST FORM H CLASS_____SCORE_____GRADE
16. What number is 18% of 48?
a) 0.375 b)
266.6
c) 8.64 d) 0.864
17. What percent of 80 is 96?
a)
83.3
% b) 76.8% c)
116.6
% d) 120%
18. Graph:
14x
−< ≤
.
a) b)
c) d)
19. When Liz came back from a vacation in Arizona, she brought a
colorful, hand-woven rug for her dorm room. The perimeter of the
rectangular rug is 168 in. The length is 24 in. more than the width.
Find the length of the rug.
a) 30 in. b) 54 in. c) 108 in. d) 42 in.
20. Tracy is running in the Foliage Fest 26-mile Marathon. When he
grabs a bottle of water at one of the stands on the course, he still has
4.2 times as many miles to go as he has already run. How many
miles of the marathon has he already run?
a)
1
88
mi b)
7
17 8
mi c) 21 mi d) 5 mi
21. By raising the thermostat temperature in his house by 2º, Jaren
reduced his average August cooling bill by 12% to $113.12. What
was his August cooling bill before he raised the temperature?
a) $126.69 b) $137.95 c) $128.54 d) $99.55
ANSWERS
16.
17.
18.
19.
20.
21.
192 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 2 NAME
TEST FORM H CLASS_____SCORE_____GRADE
ANSWERS
22.
23.
24.
25.
22. Graph:
1y
≤−
.
a) b)
c) d)
23. The fare for a subway ride in New York City is $2.25 (one way).
An unlimited 7-day pass costs $29. Express as an inequality the
number of one-way rides within 7 days Josh must make for the
unlimited 7-day pass to save him money.
a) More than 13 rides b) More than 12 rides
c) Less than 12 rides d) Less than 13 rides
__________________________________________________________
24. Solve:
43 17x−=−
.
a) 7 b)
113
,
13 3
−
c)
7, 7
−
d) No solution
25. Solve for g: 3
2
fg
acg
=−.
a) 23
ac
gf
=+ b)
23
ac
ga
=+
c)
3
2
ac fg
ga
−
=
d) 23
ac
gaf
=+
Chapter Tests 193
CHAPTER 3 NAME
TEST FORM A CLASS_____SCORE_____GRADE
The following line graph shows total value of sales for physical units of
recorded music shipped in the U.S. (Source: Based on information
from Recording Industry Association of America in The World Almanac
and Book of Facts, 2012) Use this line graph to answer questions 1 and
2.
1. By how much did the value of physical units of recorded music
shipped decrease from 2004 to 2010?
2. Music videos comprised 5% of the value of the physical units of
recorded music shipped in 2010. Find the approximate value of the
music videos shipped in 2010 in physical format.
In which quadrant is each point located?
3.
4
2, 5
§·
¨¸
©¹
4.
()
3.6, 2.8−
Find the coordinates of each point in the figure.
5. A 6. B 7. C
ANSWERS
1.
2.
3.
4.
5.
6.
7.
194 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 3 NAME
TEST FORM A CLASS_____SCORE_____GRADE
ANSWERS
8. See graph.
9. See graph.
10. See graph.
11. See graph.
12. See graph.
13. See graph.
Graph.
8. 41yx=− + 9. 6416xy−=
10. 54y+= 11.
2
3
yx=
12.
24xy−=−
13.
3x=
Chapter Tests 195
CHAPTER 3 NAME
TEST FORM A CLASS_____SCORE_____GRADE
14. Graph:
()
1
33
3
yx−= +
.
Find the slope of the line containing each pair of points. If it is
undefined, state this.
15.
()()
2, 6 and 4, 8−− −
16.
() ( )
7, 4 and 1, 9−
17.
() ( )
3, 5 and 8, 5−
18. Destiny reached the 3-km mark of a race at 10:36 a.m. and the 5-km
mark at 10:44 a.m. What is her running rate?
19. The road where John jogs on weekends rises 75 ft over a horizontal
distance of 920 ft. Find the road grade. Round your answer to the
nearest tenth.
20. Find the x-intercept and the y-intercept of the line given by
23 1xy−=−
.
21. Find the slope and the y-intercept of the line given by
61yx−=−
.
22. Write the slope-intercept equation of the line with slope
3
4
−
and
y-intercept
()
0, 6
.
ANSWERS
14. See graph.
15.
16.
17.
18.
19.
20.
21.
22.
196 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 3 NAME
TEST FORM A CLASS_____SCORE_____GRADE
ANSWERS
23.
24.
25.
26. a) See graph.
b)
27.
28.
Determine without graphing whether each pair of lines is parallel,
perpendicular, or neither.
23.
372,
46 11
yx
xy
24.
34,
35
yx
yx
25. Write the slope-intercept equation of the line that is perpendicular
to the line
54 20xy
and that contains the point
2, 3
.
26. Recently, the cost c, of shipping a 4-lb package of books was $3.55
and shipping a 6-lb package of books was $4.35 using the library
rate of the U.S. Postal Service.
a) Graph the data and determine an equation for the related line.
Let
c=
cost in dollars and
w=
weight in pounds.
b) Calculate the cost of shipping a 7-lb package at this rate.
__________________________________________________________
27. Write the slope-intercept equation of the line that is parallel to
97 4
xy−− =
and has the same y-intercept as the graph of
511 22
xy−+ =−
.
28. A diagonal of a square connects the points
()
4, 3
−
and
()
2, 3
−
.
Find the area and the perimeter of the square.
Chapter Tests 197
CHAPTER 3 NAME
TEST FORM B CLASS_____SCORE_____GRADE
The following line graph shows total number of physical units of
recorded music shipped in the U.S. (Source: Based on information
from Recording Industry Association of America in The World Almanac
and Book of Facts, 2012) Use this line graph to answer questions 1 and
2.
1. By how many did the number of physical units of recorded music
shipped decrease from 2004 to 2010?
2. Music videos comprised 4% of the value of the physical units of
recorded music shipped in 2004. Find the approximate number of
the music videos shipped in 2004 in physical format.
In which quadrant is each point located?
3.
41
,
33
§·
−
¨¸
©¹
4.
()
8, 2
−−
Find the coordinates of each point in the figure.
5. A 6. B 7. C
ANSWERS
1.
2.
3.
4.
5.
6.
7.
198 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 3 NAME
TEST FORM B CLASS_____SCORE_____GRADE
ANSWERS
8. See graph.
9. See graph.
10. See graph.
11. See graph.
12. See graph.
13. See graph.
Graph.
8.
24
yx
=− +
9.
24 8
xy
−+ =−
10.
42
y
−=−
11.
1
2
yx
=−
12.
33
xy
−−=−
13.
2
x
=−
Chapter Tests 199
CHAPTER 3 NAME
TEST FORM B CLASS_____SCORE_____GRADE
14. Graph:
()
1
21
3
yx
−=− +
.
Find the slope of the line containing each pair of points. If it is
undefined, state this.
15.
()
3, 2
and
()
1, 3
−−
16.
()
1, 5
−
and
()
8, 2
−
17.
()
9, 4
and
()
2, 4
−
18. Pam’s puppy weighed 9 lb at 12 weeks and 12 lb at 24 weeks.
What was her rate of weight gain?
19. Adam likes to skateboard on a street that drops 90.9 ft over a
horizontal distance of 505 ft. What is the grade of the street?
20. Find the x-intercept and the y-intercept of the line given by
438
xy
−=
.
21. Find the slope and the y-intercept of the line given by
310
yx
−=
.
22. Write the slope-intercept equation of the line with slope
1−
and
y-intercept
()
0, 5
.
ANSWERS
14. See graph.
15.
16.
17.
18.
19.
20.
21.
22.
200 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 3 NAME
TEST FORM B CLASS_____SCORE_____GRADE
ANSWERS
23.
24.
25.
26. a) See graph.
b)
27.
28.
Determine without graphing whether each pair of lines is parallel,
perpendicular, or neither.
23.
73 ,
29 4
yx
xy
24.
453,
810 4
yx
yx
25. Write the slope-intercept equation of the line that is perpendicular
to the line
7314xy
and that contains the point
4,3
.
26. Recently, the cost c, of shipping a 2-lb package of CDs was $2.89
and shipping a 6-lb package of CDs was $4.57 using the media mail
rate of the U.S. Postal Service.
a) Graph the data and determine an equation for the related line.
Let
c=
cost in dollars and
w=
weight in pounds.
b) Calculate the cost of shipping a 7-lb package at this rate.
__________________________________________________________
27. Write the slope-intercept equation of the line that is parallel to
68 5xy−=
and has the same y-intercept as the graph of
32 10xy−=−
.
28. A diagonal of a square connects the points
()
5, 1
−
and
()
2, 8
. Find
the area and the perimeter of the square.
Chapter Tests 201
CHAPTER 3 NAME
TEST FORM C CLASS_____SCORE_____GRADE
The following line graph shows total value of recorded music shipped in
digital format. (Source: Based on information from Recording Industry
Association of America in The World Almanac and Book of Facts,
2012) Use this line graph to answer questions 1 and 2.
1. By how much did the value of recorded music shipped in digital
format increase from 2004 to 2010?
2. Downloaded singles comprised 61% of the value of recorded music
shipped in digital format in 2010. Find the approximate value of
singles downloaded in 2010.
In which quadrant is each point located?
3.
()
4, 6.7
−−
4.
()
9, 10
Find the coordinates of each point in the figure.
5. A 6. B 7. C
ANSWERS
1.
2.
3.
4.
5.
6.
7.
202 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 3 NAME
TEST FORM C CLASS_____SCORE_____GRADE
ANSWERS
8. See graph.
9. See graph.
10. See graph.
11. See graph.
12. See graph.
13. See graph.
Graph.
8.
32yx=+
9.
3612xy−+ =
10.
36y−=−
11.
3
4
yx=
12.
41xy−=
13.
1x=−
Chapter Tests 203
CHAPTER 3 NAME
TEST FORM C CLASS_____SCORE_____GRADE
14. Graph:
()
1
24
2
yx+= −
.
Find the slope of the line containing each pair of points. If it is
undefined, state this.
15.
()
2, 8
and
()
1, 11
16.
()
0, 8
−
and
()
4, 11
−−
17.
()
2, 6
−−
and
()
4, 6
−
18. Terry had read 15 pages at 2:10 p.m. and had read 24 pages at
2:30 p.m. What was his reading rate?
19. Marcia trains for marathon running on a state park footpath that
drops 190 ft over a horizontal distance of 2500 ft. What is the
grade of the path?
20. Find the x-intercept and the y-intercept of the line given by
52xy−=
.
21. Find the slope and the y-intercept of the line given by
43yx+=−
.
22. Write the slope-intercept equation of the line with slope
2
3
and
y-intercept
()
0, 5
−
.
ANSWERS
14. See graph.
15.
16.
17.
18.
19.
20.
21.
22.
204 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 3 NAME
TEST FORM C CLASS_____SCORE_____GRADE
ANSWERS
23.
24.
25.
26. a) See graph.
b)
27.
28.
Determine without graphing whether each pair of lines is parallel,
perpendicular, or neither.
23.
374,
435
yx
xy
24.
467,
648
yx
yx
25. Write the slope-intercept equation of the line that is parallel to the
line
74 28xy
and that contains the point
2, 5
.
26. Recently, the cost c, of shipping a 5-lb package of books was $3.95
and shipping a 6-lb package of books was $4.35 using the library
rate of the U.S. Postal Service.
a) Graph the data and determine an equation for the related line.
Let
c=
cost in dollars and
w=
weight in pounds.
b) Calculate the cost of shipping a 3-lb package at this rate.
__________________________________________________________
27. Write the slope-intercept equation of the line that is parallel to
35 4xy−− =−
and has the same y-intercept as the graph of
24xy+=−
.
28. List the coordinates of three other points that are on the same line as
()
1, 8
and
()
2, 17
−
. Answers may vary.
Chapter Tests 205
CHAPTER 3 NAME
TEST FORM D CLASS_____SCORE_____GRADE
The following line graph shows total number of units of recorded music
shipped in the U.S. in digital format. (Source: Based on information
from Recording Industry Association of America in The World Almanac
and Book of Facts, 2012) Use this line graph to answer questions 1 and
2.
1. By how many did the number of units of recorded music shipped in
digital format increase from 2004 to 2010?
2. Downloaded singles comprised 92% of the number of units of
recorded music shipped in digital format in 2010. Find the
approximate number of singles downloaded in 2010.
In which quadrant is each point located?
3.
1
7, 2
§·
−
¨¸
©¹
4.
()
2, 8
−−
Find the coordinates of each point in the figure.
5. A 6. B 7. C
ANSWERS
1.
2.
3.
4.
5.
6.
7.
206 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 3 NAME
TEST FORM D CLASS_____SCORE_____GRADE
ANSWERS
8. See graph.
9. See graph.
10. See graph.
11. See graph.
12. See graph.
13. See graph.
Graph.
8.
25yx=−
9.
510 30xy−− =
10.
25y+=
11.
3
2
yx=
12.
23xy−−=
13.
4x=
Chapter Tests 207
CHAPTER 3 NAME
TEST FORM D CLASS_____SCORE_____GRADE
14. Graph:
()
1
41
4
yx−= −
.
Find the slope of the line containing each pair of points. If it is
undefined, state this.
15.
()
5, 8
and
()
8, 5
16.
()
10, 0
−
and
()
4, 5
−−
17.
()
2, 5
−−
and
()
2, 7
−
18. Jess had placed 10 tiles at 8:15 a.m. and had placed 45 tiles by
9:30 a.m. What was her placement rate?
19. When Karl trains for downhill running, he does multiple loops of a
course that drops 276 ft over a horizontal distance of 2400 ft. What
is the grade of the course where Karl trains?
20. Find the x-intercept and the y-intercept of the line given by
23 4xy−=
.
21. Find the slope and the y-intercept of the line given by
52yx−=−
.
22. Write the slope-intercept equation of the line with slope
5−
and
y-intercept
()
0, 3
.
ANSWERS
14. See graph.
15.
16.
17.
18.
19.
20.
21.
22.
208 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 3 NAME
TEST FORM D CLASS_____SCORE_____GRADE
ANSWERS
23.
24.
25.
26. a) See graph.
b)
27.
28.
Determine without graphing whether each pair of lines is parallel,
perpendicular, or neither.
23.
4132,
25 7
yx
xy
24.
659,
367
yx
yx
25. Write the slope-intercept equation of the line that is parallel to the
line
64 24xy
and that contains the point
4,3
.
26. Recently, the cost c, of shipping a 3-lb package of CDs was $3.31
and shipping a 6-lb package of CDs was $4.57 using the media
mail rate of the U.S. Postal Service.
a) Graph the data and determine an equation for the related line.
Let
c=
cost in dollars and
w=
weight in pounds.
b) Calculate the cost of shipping a 2-lb package at this rate.
__________________________________________________________
27. Write the slope-intercept equation of the line that is parallel to
36xy−=+
and has the same y-intercept as the graph of
7412xy−+ =
.
28. Find the value of m in
5ymx=+
such that
()
2, 11
−
is on the line.
Chapter Tests 209
CHAPTER 3 NAME
TEST FORM E CLASS_____SCORE_____GRADE
The following line graph shows total value of recorded music shipped in
the U.S. in both physical and digital formats. (Source: Based on
information from Recording Industry Association of America in The
World Almanac and Book of Facts, 2012) Use this line graph to answer
questions 1 and 2.
1. By how much did the value of recorded music shipped decrease
from 2004 to 2010?
2. Download albums, singles, and music videos comprised 33% of the
value of all recorded music shipped in 2010. Find the approximate
value of these downloads in 2010.
In which quadrant is each point located?
3.
3
9, 4
§·
¨¸
©¹
4.
()
5, 5
−
Find the coordinates of each point in the figure.
5. A 6. B 7. C
ANSWERS
1.
2.
3.
4.
5.
6.
7.
210 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 3 NAME
TEST FORM E CLASS_____SCORE_____GRADE
ANSWERS
8. See graph.
9. See graph.
10. See graph.
11. See graph.
12. See graph.
13. See graph.
Graph.
8.
2yx=− −
9.
3918xy+=
10.
13y−=−
11.
2
3
yx=−
12.
34xy−=
13.
5x=
Chapter Tests 211
CHAPTER 3 NAME
TEST FORM E CLASS_____SCORE_____GRADE
14. Graph:
()
1
15
2
yx+=− −
.
Find the slope of the line containing each pair of points. If it is
undefined, state this.
15.
()
3, 1
−
and
()
4, 6
−−
16.
()
2, 4
−−
and
()
7, 2
−−
17.
()
2, 5
−
and
()
2, 16
−
18. Griffen had completed schedules for 4 students by 10:30 a.m. and
had completed schedules for 15 students at 3:30 p.m. What was his
rate of completing schedules?
19. One of the steepest streets in Seattle, E. Roy, at one point drops
approximately 55.44 ft over a horizontal distance of 264 ft. Find
the grade of the street.
20. Find the x-intercept and the y-intercept of the line given by
48xy−=
.
21. Find the slope and the y-intercept of the line given by
24yx+=
.
22. Write the slope-intercept equation of the line with slope
4−
and
y-intercept
()
0, 1.5
.
ANSWERS
14. See graph.
15.
16.
17.
18.
19.
20.
21.
22.
212 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 3 NAME
TEST FORM E CLASS_____SCORE_____GRADE
ANSWERS
23.
24.
25.
26. a) See graph.
b)
27.
28.
Determine without graphing whether each pair of lines is parallel,
perpendicular, or neither.
23.
237,
72 5
yx
xy
24.
887,
9911
yx
yx
25. Write the slope-intercept equation of the line that is perpendicular
to the line
36 18xy
and that contains the point
4, 1
.
26. Recently, the cost c, of shipping a 3-oz package was $1.95 and
shipping a 9-oz package was $2.97 using the First Class Mail rate
of the U.S. Postal Service.
a) Graph the data and determine an equation for the related line.
Let
c=
cost in dollars and
w=
weight in pounds.
b) Calculate the cost of shipping a 12-oz package at this rate.
__________________________________________________________
27. Write the slope-intercept equation of the line that is parallel to
8411xy−+ =
and has the same y-intercept as the graph of
35xy−+=
.
28. List the coordinates of three other points that are on the same line as
()
1, 9
−−
and
()
4, 1
.
Chapter Tests 213
CHAPTER 3 NAME
TEST FORM F CLASS_____SCORE_____GRADE
The following line graph shows total number of units of recorded music
shipped in the U.S. in both physical and digital format. (Source: Based
on information from Recording Industry Association of America in The
World Almanac and Book of Facts, 2012) Use this line graph to answer
questions 1 and 2.
1. By how many did the number of units of recorded music shipped
decrease from 2008 to 2010?
2. Downloaded albums, singles and music videos comprised 73% of
the number of units of recorded music shipped in 2010. Find the
approximate number of these downloads in 2010.
In which quadrant is each point located?
3.
()
8, 4
−−
4.
()
1.5, 2.6
−
Find the coordinates of each point in the figure.
5. A 6. B 7. C
ANSWERS
1.
2.
3.
4.
5.
6.
7.
214 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 3 NAME
TEST FORM F CLASS_____SCORE_____GRADE
ANSWERS
8. See graph.
9. See graph.
10. See graph.
11. See graph.
12. See graph.
13. See graph.
Graph.
8.
32yx=−
9.
46 6xy−=
10.
22y+=−
11.
4
5
yx=−
12.
25xy−+=
13.
4x=−
Chapter Tests 215
CHAPTER 3 NAME
TEST FORM F CLASS_____SCORE_____GRADE
14. Graph:
()
1
32
4
yx+=− −
.
Find the slope of the line containing each pair of points. If it is
undefined, state this.
15.
()
5, 1
and
()
3, 3
−−
16.
()
4, 6
−
and
()
5, 0
−
17.
()
8, 4
−
and
()
2, 4
−
18. Cody had served 6 customers at 8:05 a.m. By 8:55 a.m., he had
served 21 customers. What was his serving rate?
19. On the way to his favorite bass-fishing spot near Yosemite National
Park, Miguel hikes up Old Priest Mountain which rises about 1500
ft over 2 mi. What is the grade of the incline?
(Hint: 1 mi = 5280 ft) Round your answer to the nearest tenth.
20. Find the x-intercept and the y-intercept of the line given by
62 5xy−=
.
21. Find the slope and the y-intercept of the line given by
5yx+=
.
22. Write the slope-intercept equation of the line with slope
3
2
and
y-intercept
1
0, 2
§·
−
¨¸
©¹
.
ANSWERS
14. See graph.
15.
16.
17.
18.
19.
20.
21.
22.
216 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 3 NAME
TEST FORM F CLASS_____SCORE_____GRADE
ANSWERS
23.
24.
25.
26. a) See graph.
b)
27.
28.
Determine without graphing whether each pair of lines is parallel,
perpendicular, or neither.
23.
6112,
618 13
yx
xy
24.
12 7 5,
7126
yx
yx
25. Write the slope-intercept equation of the line that is parallel to the
line
6318xy
and that contains the point
2,5
.
26. Recently, the cost c, of shipping a 3-oz large envelope was $1.30
and shipping a 10-oz large envelope was $2.70 using the First Class
Mail rate of the U.S. Postal Service.
a) Graph the data and determine an equation for the related line.
Let
c=
cost in dollars and
w=
weight in pounds.
b) Calculate the cost of shipping an 8-oz large envelope at this
rate.
__________________________________________________________
27. Write the slope-intercept equation of the line that is parallel to
47xy=−
and has the same y-intercept as the graph of
926xy+=
.
28. Find the area and perimeter of a rectangle for which
()( ) ()
4, 3 , 3, 2 , and 3, 3
−−
are three of the vertices.
Chapter Tests 217
CHAPTER 3 NAME
TEST FORM G CLASS_____SCORE_____GRADE
The following line graph shows total number of units of recorded music
shipped in the U.S. in both physical and digital format. (Source: Based
on information from Recording Industry Association of America in The
World Almanac and Book of Facts, 2012) Use this line graph to answer
questions 1 and 2.
1. By about how many did the number of units of recorded music
shipped increase from 2004 to 2008?
a) 7.7 hundred million units b) 2 hundred million units
c) 19 hundred million units d) 9.5 hundred million units
2. Compact discs (CDs) comprised 13% of the units of recorded music
shipped in 2010. Find the approximate number of CDs shipped in
2010.
a) 2.2 hundred million units b) 1.2 hundred million units
c) 133 hundred million units d) 17 hundred million units
3. In which quadrant is the point
()
4, 2
−
located?
a) I b) II c) III d) IV
ANSWERS
1.
2.
3.
218 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 3 NAME
TEST FORM G CLASS_____SCORE_____GRADE
ANSWERS
4.
5.
6.
7.
4. Find the slope of the line containing the points
()
3, 8
and
()
2, 6
−
.
a)
5
2
b)
2
5
c) 2 d)
2
5
−
5. If possible, find the slope of the line containing the points
()
6, 2
−
and
()
5, 2
.
a)
11−
b)
1−
c) 0 d) Undefined
6. Find the coordinates of the points on the graph.
a)
()( )
1, 0 , 3, 4
−−
b)
()( )
0, 1 , 3, 4
−−
c)
()( )
1, 0 , 4, 3
−−
d)
()( )
0, 1 , 4, 3
−−
7. Write an equation for the graph.
a)
4y=−
b)
4x=−
c)
4yx=−
d)
4yx=−
Chapter Tests 219
CHAPTER 3 NAME
TEST FORM G CLASS_____SCORE_____GRADE
8. Graph:
12
4
yx=−
.
a) b)
c) d)
9. Graph:
32 2xy+=−
.
a) b)
c) d)
ANSWERS
8. _______________
9.
220 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 3 NAME
TEST FORM G CLASS_____SCORE_____GRADE
ANSWERS
10.
11.
12.
13.
10. Graph:
5
2
yx=−
.
a) b)
c) d)
11. Jack reached the 2-mi mark of a race at 1:30 p.m. and the 6-mi
mark at 2:02 p.m. What was his running rate?
a)
1
8
mi/min b)
1
7
mi/min c)
1
4
mi/min d) 8 mi/min
12. Gwen prepares for a 5K race by running on a road that drops 96 ft
over a horizontal distance of 1500 ft. What is the grade of the road?
a) 6.4% b) 14.4% c) 15.6% d) 7.8%
13. Find the x-intercept and y-intercept of
92 18xy+=−
.
a) x-int.
()
9, 0 ;
−
y-int.
()
0, 2
−
b) x-int.
()
2, 0 ;
y-int.
()
0, 9
−
c) x-int.
()
2, 0 ;
−
y-int.
()
9, 0
−
d) x-int.
()
2, 0 ;
−
y-int.
()
0, 9
−
Chapter Tests 221
CHAPTER 3 NAME
TEST FORM G CLASS_____SCORE_____GRADE
14. Find the slope m and y-intercept of the line
26
3
yx=−
.
a)
6;m=−
y-int.
2
0, 3
§·
¨¸
©¹
b)
2;
3
m=
y-int.
()
0, 6
c)
2;
3
m=
y-int.
()
0, 6
−
d)
2;
3
m=
y-int.
()
6, 0
−
15. Find the slope-intercept equation of the line that has slope of
1
2
−
and y-intercept
()
0, 5
.
a)
15
2
yx=− +
b)
15
2
yx=+
c)
15
2
yx=− −
d)
1
52
yx=−
16. Which line is parallel to
784?yx
a)
74 8xy
b)
47 7xy
c)
37 8xy
d)
47 8xy
17. Find an equation of the line containing
4,3
that is perpendicular
to the line
2714xy
.
a)
711
2
yx
b)
711
2
yx
c)
211
7
yx
d)
717
2
yx
ANSWERS
14. _______________
15. _______________
16. _______________
17. _______________
222 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 3 NAME
TEST FORM G CLASS_____SCORE_____GRADE
ANSWERS
18.
19.
20.
18. If you rent a car for one day and drive it 100 miles, the cost is $70.
If you drive it for 250 miles, the cost is $115. How much will it
cost you to rent the car for one day and drive it 350 mi?
a) $185 b) $161 c) $145 d) $245
___________________________________________________
19. The diagonal of a square connects the points
()
3, 5
and
()
8, 6
−−
.
Find the perimeter of the square.
a) 88 units b) 121 units
2
c) 44 units d) 20 units
20. Write the slope-intercept form of the line that has the same
y-intercept as the graph of
2515xy−=
and is parallel to the graph
of
43xy−=
.
a)
23
54
yx=−
b)
13
4
yx=−
c)
43yx=−
d)
13
4
yx=+
Chapter Tests 223
CHAPTER 3 NAME
TEST FORM H CLASS_____SCORE_____GRADE
The following line graph shows total value of recorded music shipped in
the U.S. in both physical and digital formats. (Source: Based on
information from Recording Industry Association of America in The
World Almanac and Book of Facts, 2012.) Use this line graph to answer
questions 1 and 2.
1. Between which two years was the greatest drop in value of recorded
music shipped?
a) 2004 and 2005 b) 2009 and 2010
c) 2006 and 2007 d) 2007 and 2008
2. Compact discs (CDs) comprised 49% of the value of recorded
music shipped in 2010. Find the approximate value of CDs shipped
in 2010.
a) $3.4 trillion b) $6.2 trillion
c) $6.9 trillion d) $14 trillion
3. In which quadrant is the point
()
6, 2.5
−−
located?
a) I b) II c) III d) IV
ANSWERS
1.
2.
3.
224 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 3 NAME
TEST FORM H CLASS_____SCORE_____GRADE
ANSWERS
4.
5.
6.
7.
4. Find the slope of the line containing the points
()
4, 3
−
and
()
6, 2
−
.
a) 2 b)
1
2
c)
2−
d)
1
2
−
5. If possible, find the slope of the line containing the points
()
8, 4
−
and
()
8, 2
−
.
a)
1
2
−
b) 2 c) 0 d) Undefined
6. Find the coordinates of the points on the graph.
a)
()()
2, 3 , 4, 0
−−
b)
()()
3, 2 , 4, 0
−−
c)
()()
4, 0 , 3, 2
−
d)
()()
3, 2 , 0, 4
−−
7. Write an equation for the graph.
a)
5y=
b)
5x=
c)
5yx=−
d)
5yx=+
Chapter Tests 225
CHAPTER 3 NAME
TEST FORM H CLASS_____SCORE_____GRADE
8. Graph:
12
3
yx=− −
.
a) b)
c) d)
9. Graph:
32 6xy+=−
.
a) b)
c) d)
ANSWERS
8.
9.
226 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 3 NAME
TEST FORM H CLASS_____SCORE_____GRADE
ANSWERS
10.
11.
12.
13.
10. Graph:
2yx=
.
a) b)
c) d)
11. A barge travels down the Mississippi River near Memphis. From
1:23 p.m. to 3:08 p.m., it covers a distance of 16.8 miles. What is
the rate of the barge in miles per hour?
a) 9.6 mph b) 0.16 mph c) 13.44 mph d) 10.4 mph
12. A ramp leading into a barn rises 4 ft over a horizontal distance of
30 ft. Express this slope as a grade.
a) 7.5% b)
13.3
% c)
1.3
% d)
8.6
%
13. Find the x-intercept and y-intercept of
6315xy−=
.
a) x-int.
2,0 ;
5
§·
¨¸
©¹
y-int.
()
0, 5
−
b) x-int.
5,0 ;
2
§·
¨¸
©¹
y-int.
()
0, 5
−
c) x-int.
5,0 ;
2
§·
−
¨¸
©¹
y-int.
()
0, 5
d) x-int.
5
0, ;
2
§·
¨¸
©¹
y-int.
()
5, 0
−
Chapter Tests 227
CHAPTER 3 NAME
TEST FORM H CLASS_____SCORE_____GRADE
14. Find the slope m and y-intercept of the line
1
32
yx=− +
.
a)
3;m=−
y-int.
1
0, 2
§·
¨¸
©¹
b)
1;
2
m=
y-int.
()
0, 3
−
c)
3;m=
y-int.
1
0, 2
§·
−
¨¸
©¹
d)
1;
2
m=−
y-int.
()
0, 3
15. Find the slope-intercept equation of the line that has slope of 4 and
contains the point
()
0, 0.5
−
.
a)
40.5yx=−
b)
0.5 4yx=− +
c)
40.5yx=+
d)
40.5yx=− +
16. Which line is parallel to
654?yx
a)
46 5xy
b)
46 5xy
c)
64 5xy
d)
46 5xy
17. Find an equation of the line containing
4, 3
that is
perpendicular to the line
2714xy
.
a)
213
77
yx
b)
717
2
yx
c)
213
77
yx
d)
717
2
yx
ANSWERS
14.
15.
16.
17.
228 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 3 NAME
TEST FORM H CLASS_____SCORE_____GRADE
ANSWERS
18.
19.
20.
18. If you rent a car for one day and drive it 100 miles, the cost is $55.
If you drive it for 220 miles, the cost is $85. How much will it cost
you to rent the car for one day and drive it 320 mi?
a) $140 b) $124 c) $110 d) $176
19. The diagonal of a square connects the points
()
2, 6
−−
and
()
3, 1
−
.
Find the perimeter of the square.
a) 12 units b) 25 units
2
c) 20 units d) 40 units
20. Write the slope-intercept form of the line that has the same
y-intercept as the graph of
36 9xy−=−
and is parallel to the graph
of
24xy−=
.
a)
13
22
yx=+
b)
32
2
yx=−
c)
3
22
yx=+
d)
13
22
yx=−
Chapter Tests 229
CHAPTER 4 NAME
TEST FORM A CLASS_____SCORE_____GRADE
Simplify.
1.
59
xx x⋅⋅ 2.
8
6
4
4
3.
()
()
5
5
4
4
n
n 4.
()
3
5
x
5.
()
4
2
3x− 6.
()( )
2
234
32xy x y−−
7.
46
32
30
25
ab
ab 8.
3
4
5
3
m
n
§·
¨¸
©¹
Divide.
9. Express using a positive exponent:
3
3
−
.
10. Express using a negative exponent:
9
1
t
.
Simplify.
11.
46
xx
−−
⋅ 12.
74
52
15
25
xy
xy
−
−
13.
()
3
42
3xy
−
−
14.
3
2
2x
y
−
§·
¨¸
©¹
15. Convert to scientific notation: 9,408,000,000,000.
16. Convert to decimal notation:
8
6.12 10
−
×.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
230 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 4 NAME
TEST FORM A CLASS_____SCORE_____GRADE
ANSWERS
17.
18.
19.
20.
21.
22.
23.
24.
Multiply or divide and write scientific notation for the result.
17.
6
8
2.4 10
1.5 10
×
× 18.
()()
13 2
4.5 10 7.2 10
−−
××
19. Classify
22
35xy y− as a monomial, a binomial, a trinomial, or a
polynomial with no special name.
20. Identify the coefficient of each term of the polynomial:
32
437
xx
−+
.
21. Determine the degree of each term, the leading term and the leading
coefficient, and the degree of the polynomial:
28 4
236yy y++−.
22. Evaluate
2
265
xx
−+−
for
2x=−
.
Combine like terms and write in descending order.
23.
22
2
96
3
aaaa
−+ −
24.
22
3 46937xxx xx x−− + − + +
Chapter Tests 231
CHAPTER 4 NAME
TEST FORM A CLASS_____SCORE_____GRADE
Add or subtract, as indicated.
25.
()( )
54 432
7435 33 6xxx xxxx−+++−−+−
26.
443
31
2346
44
tt ttt
§·§ ·
+−+ ++
¨¸¨ ¸
©¹© ¹
27.
()()
432 43
623524 611aaaa aaa+−+−− ++−
28.
()()
42 532
2 3.1 4.2 7 7.3 3.1 13xx x xxx−++−−−−
Multiply.
29.
()
32
35 63xx x−+−
30.
2
2
3
x
§·
−
¨¸
©¹
31.
()()
2323tt−+
32.
()()
61132aa+−
33.
()()
45
36xx
−+
34.
()( )
475aa−−
35.
()
()
2
273 61xxx
++−
36.
()
2
94b
+
37. Evaluate
22
42xy y− for
8x
=−
and
3y
=
.
ANSWERS
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
232 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 4 NAME
TEST FORM A CLASS_____SCORE_____GRADE
ANSWERS
38.
39.
40.
41.
42.
43.
44.
38. Combine like terms:
22 2 2
6 5 3 9 11 8x y xy xy xy xy−++−−.
39. Subtract:
()( )
22 3 22 3 3
10 3 8 6 4 7xy xy y xy xy xy y
−+ −− + − −
.
40. Multiply:
()()
44
7272xyxy
−+
.
Divide.
41.
(
)
(
)
432 2
36 24 18 3xxx x
−+ ÷
42.
(
)
(
)
32
12 9 5 2xx x x
+−+÷−
43. In 2011, the average civilian American man or woman spent
110 hours participating in sports, exercise, or recreation and
1000 hours watching television. If the trend continues, at the end of
twelve years, how many more hours will this person spend
watching television than participating in sports, exercise, or
recreation? Write scientific notation for the answer.
(Source: www.bls.gov)
44. Solve:
()()()
2
2
5327xx x x
+− += −
.
Chapter Tests 233
CHAPTER 4 NAME
TEST FORM B CLASS_____SCORE_____GRADE
1.
65
ttt
⋅⋅
2.
5
3
6
6
3.
()
()
7
7
3
3
y
y 4.
()
3
2
t
5.
()
2
5
4x− 6.
()( )
3
234
42xy xy−
7.
48
25
15
6
ab
ab 8.
2
2
4
2
3
m
n
§·
¨¸
©¹
9. Express using a positive exponent:
2
5
−
.
10. Express using a negative exponent:
3
1
y.
Simplify.
11.
33
yy
−−
⋅ 12.
46
5
12
24
xy
xy
−
−
12.
()
2
54
2st
−
−
14.
4
2a
b
−
§·
¨¸
©¹
15. Convert to scientific notation: 580.
16. Convert to decimal notation:
9
610
−
×
.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
234 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 4 NAME
TEST FORM B CLASS_____SCORE_____GRADE
ANSWERS
17.
18.
19.
20.
21.
22.
23.
24.
Multiply or divide and write scientific notation for the result.
17.
6
9
1.8 10
2.5 10
−
×
× 18.
()( )
411
3.1 10 5.7 10
−
××
19. Classify
2
5154xy xy y−+ as a monomial, a binomial, a trinomial,
or a polynomial with no special name.
20. Identify the coefficient of each term of the polynomial:
43
13
4xxx
−+
.
21. Determine the degree of each term, the leading term and the leading
coefficient, and the degree of the polynomial:
35
92aa aa
2
−+ −
.
22. Evaluate
2
361xx
−+
for
5x
=−
.
Combine like terms and write in descending order.
23.
22
5
73
8
xxxx
+− +
24.
32 32
34689212xxx xx
−+ −−+ − +
Chapter Tests 235
CHAPTER 4 NAME
TEST FORM B CLASS_____SCORE_____GRADE
Add or subtract, as indicated.
25.
()( )
63 2 64 2
32118 271194xx xx xx xx
+− −+−−+ −+
26.
32 42
21
83 2
33
xx xxx
§·§ ·
+++ −−
¨¸¨ ¸
©¹© ¹
27.
()( )
32 432
865483481aaa aaaa
−+ −+− + − +−
28.
()( )
32 432
2 0.3 5 0.7 0.3 11xx xxx
−−−−−−
Multiply.
29.
()
22
54 58xx x
−−+
30.
2
1
4
x
§·
−
¨¸
©¹
31.
()()
3636aa−+
32.
()()
4937zz−−
33.
()()
54
62xx
−+
34.
()()
73 46yy−+
35.
()
()
2
347 26xxx
−−+
36.
()
2
67b
+
37. Evaluate
23 2
24xy y−+ for
1x
=−
and
3y
=−
.
ANSWERS
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
236 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 4 NAME
TEST FORM B CLASS_____SCORE_____GRADE
ANSWERS
38.
39.
40.
41.
42.
43.
44.
38. Combine like terms:
23 2 32 23 2
4239 14xy xy xy xy xy−−+ + −−.
39. Subtract:
()( )
33 22 2 33 22 2
34 579xy xy y xy xy xy y
+−−−−−+
.
40. Multiply:
()()
77
4343xyxy
−+
.
Divide.
41.
()()
632 2
24 16 4 4xxx x
−+÷
42.
()
()
32
6595 2xxx x
−+−÷+
43. In 2005, 296.4 million Americans consumed an average of 9.5 lb
coffee each. In 1990, 248.7 million Americans consumed an
average of 10.3 lb coffee each. In which year did Americans
altogether consume more coffee and how much more was
consumed? Write scientific notation for the amount.
(Source: www.infoplease.com)
44. Simplify:
()
() ()
2
54
3
467 2 22
45 3 2 30xxxx x xx
ªº
−⋅+ +− +
«»
¬¼
.
Chapter Tests 237
CHAPTER 4 NAME
TEST FORM C CLASS_____SCORE_____GRADE
1.
26
yyy⋅⋅ 2.
6
4
7
7
3.
()
()
6
6
2
2
x
x 4.
()
4
4
t
5.
()
2
3
2x− 6.
()()
3
24 5
43xy xy−
7.
64
58
36
24
ab
ab 8.
3
2
3
5
2
m
n
§·
¨¸
©¹
9. Express using a positive exponent:
4
2
−
.
10. Express using a negative exponent:
6
1
x
.
Simplify.
11.
25
xx
−−
⋅
12.
84
69
35
21
xy
xy
−
−
13.
()
3
32
3ab
−
−
14.
2
3x
y
−
§·
¨¸
©¹
15. Convert to scientific notation: 0.000415.
16. Convert to decimal notation:
8
910
×
.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
238 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 4 NAME
TEST FORM C CLASS_____SCORE_____GRADE
ANSWERS
17.
18.
19.
20.
21.
22.
23.
24.
Multiply or divide and write scientific notation for the result.
17.
3
4
6.9 10
2.5 10
−
×
× 18.
()()
84
6.7 10 9.3 10
××
19. Classify
23
4xyz as a monomial, a binomial, a trinomial, or a
polynomial with no special name.
20. Identify the coefficient of each term of the polynomial:
32
2
311
3
xx
−− +
.
21. Determine the degree of each term, the leading term and the leading
coefficient, and the degree of the polynomial:
325
464sss
−+−
.
22. Evaluate
2
64xx
−+
for
4x
=−
.
Combine like terms and write in descending order.
23.
22
5
348
6
zzzz
−−++
24.
22
65983 11xx xx x
Chapter Tests 239
CHAPTER 4 NAME
TEST FORM C CLASS_____SCORE_____GRADE
Add or subtract, as indicated.
25.
()( )
543 5432
243 63627 9xxxx xxxxx
+−−++ −+−−−
26.
32 42
41
773
55
xx xxx
§·§ ·
+−+−−+
¨¸¨ ¸
©¹© ¹
27.
()()
432 43
562396584aaaa aaa
− + −−− + −+
28.
()( )
43 543
5 0.7 0.4 2 3.2 0.5 6xxxxxx
−+−−+−
Multiply.
29.
()
32
28 65xx x
−−−
30.
2
1
5
x
§·
−
¨¸
©¹
31.
()()
6565xx+−
32.
()()
3725xx+−
33.
()()
24
96xx
−+
34.
()( )
568tt−−
35.
()
()
2
314 5 2ttt
+−+
36.
()
2
73a
+
37. Evaluate
22
32xy x− for
2x
=−
and
4y
=
.
ANSWERS
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
240 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 4 NAME
TEST FORM C CLASS_____SCORE_____GRADE
ANSWERS
38.
39.
40.
41.
42.
43.
44.
38. Combine like terms:
3 22 3322
24 47 2xy xy xy xy xy x−+ −+−−.
39. Subtract:
()()
22 2 2 22 2 2
4253 5 34x y xy xy y x y xy xy y
−++−− −−+
.
40. Multiply:
()()
8282
3232xyxy
−+
.
Divide.
41.
()()
85 3 3
32 16 40 4xxx x
+− ÷
42.
()
()
32
68113 5xx x x
+−−÷+
43. The average home electric bill in Central Meadows Township is
$80 per month. If there are 35,000 homes, what is the yearly cost
for home electricity in the township? Write scientific notation for
the answer.
44. Multiply and simplify:
() ()
33
76 76xxxx
ªºªº
−+ −−
¬¼¬¼
.
Chapter Tests 241
CHAPTER 4 NAME
TEST FORM D CLASS_____SCORE_____GRADE
1.
25
zz z⋅⋅ 2.
7
5
5
5
3.
()
()
8
8
5
5
m
m 4.
()
4
2
m
5.
()
4
3
2x− 6.
()( )
2
423
32xy xy−−
7.
94
56
35
14
ab
ab 8.
2
3
5
4
m
n
§·
¨¸
©¹
9. Express using a positive exponent:
5
2
−
.
10. Express using a negative exponent:
7
1
t
.
Simplify.
11.
35
xx
−−
⋅
12.
59
44
18
21
xy
xy
−
−
12.
()
2
63
4ab
−
−
14.
2
3
x
y
−
§·
¨¸
©¹
15. Convert to scientific notation: 476,000,000.
16. Convert to decimal notation:
4
710
−
×
.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
242 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 4 NAME
TEST FORM D CLASS_____SCORE_____GRADE
ANSWERS
17.
18.
19.
20.
21.
22.
23.
24.
Multiply or divide and write scientific notation for the result.
17.
6
2
7.2 10
1.8 10
−
×
× 18.
()( )
411
4.2 10 3.6 10
−
××
19. Classify
2
32xy x+ as a monomial, a binomial, a trinomial, or a
polynomial with no special name.
20. Identify the coefficient of each term of the polynomial:
42
423
5xxx
−+−
.
21. Determine the degree of each term, the leading term and the leading
coefficient, and the degree of the polynomial:
32
67 2 6xxx
−+−
.
22. Evaluate
2
2318xx
−+
for
2x
=−
.
Combine like terms and write in descending order.
23.
32 32
4
53
5
yy yy
−+ +
24.
23 23
56 8645xxxx xx
−+−+− +
Chapter Tests 243
CHAPTER 4 NAME
TEST FORM D CLASS_____SCORE_____GRADE
Add or subtract, as indicated.
25.
()( )
54 432
432692643xxx xxxx
−+−+ −+−−
26.
42 432
51
452
66
xxx xxx
§·§ ·
−−+ ++
¨¸¨ ¸
©¹© ¹
27.
()()
543 43 2
2356 624aaaa aaaa
−+ −+ − + + +
28.
()( )
43 542
3 0.6 5 0.2 0.3 8xxxxxxx
−−−+−+
Multiply.
29.
()
22
45 62xx x
−+−
30.
2
1
2
x
§·
−
¨¸
©¹
31.
()()
5353xx−+
32.
()()
5438tt−−
33.
()()
57
43xx
−+
34.
()( )
294xx−+
35.
()
()
2
534 35xxx
++−
36.
()
2
52x
+
37. Evaluate
23
52xy y+ for
2x
=
and
3y
=−
.
ANSWERS
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
244 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 4 NAME
TEST FORM D CLASS_____SCORE_____GRADE
ANSWERS
38.
39.
40.
41.
42.
43.
44.
38. Combine like terms:
22 2 2 2
4321065st t st t st
−− +++
.
39. Subtract:
()( )
33 22 2 3 33 22 2 3
678 103 5st st st t st st st t
−−+− +−−
.
40. Multiply:
()()
44
6565xyxy
−+
.
Divide.
41.
()()
543 2
25 35 50 5xxx x
−+ ÷
42.
()
()
32
816617 4ttt t
+−+÷+
43. In 1960, the population of the United States was about
178.6 million people. In 2010, the population was about
308.7 million. In 1960 each person generated about 2.7 pounds of
trash daily; in 2010 each person generated about 4.4 pounds of trash
daily. How much more total daily trash was generated in 2010 than
in 1960? Write scientific notation for the answer.
(Source: www.epa.gov)
44. Solve:
()()()()
29 7 23 10xx xx−+=+−
.
Chapter Tests 245
CHAPTER 4 NAME
TEST FORM E CLASS_____SCORE_____GRADE
1.
410
aa a
⋅⋅
2.
9
3
3
3
3.
()
()
4
4
3
3
p
p 4.
()
3
4
x
5.
()
5
4
2y− 6.
()( )
2
23 24
32xy xy−
7.
83
69
48
15
ab
ab 8.
3
2
5
2
5
m
n
§·
¨¸
©¹
9. Express using a positive exponent:
6
2
−
.
10. Express using a negative exponent:
8
1
x
.
Simplify.
11.
83
xx
−−
⋅
12.
46
82
21
3
xy
xy
−
−
12.
()
5
23
2st
−
−
14.
2
4
3
s
t
−
§·
¨¸
©¹
15. Convert to scientific notation: 0.00308.
16. Convert to decimal notation:
5
8.5 10
×
.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
246 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 4 NAME
TEST FORM E CLASS_____SCORE_____GRADE
ANSWERS
17.
18.
19.
20.
21.
22.
23.
24.
Multiply or divide and write scientific notation for the result.
17.
6
5
9.3 10
1.2 10
−
×
× 18.
()()
67
6.3 10 2.2 10
××
19. Classify
23
72xy xy− as a monomial, a binomial, a trinomial, or a
polynomial with no special name.
20. Identify the coefficient of each term of the polynomial:
3
1
24
2
xx
+−
.
21. Determine the degree of each term, the leading term and the leading
coefficient, and the degree of the polynomial:
624
2363tttt
+− + −
.
22. Evaluate
2
69xx
+−
for
3x
=−
.
Combine like terms and write in descending order.
23.
22
3
24 68
yy y y
−+ + +
24.
32 23
3423654xxxxx x
−+−++−+
Chapter Tests 247
CHAPTER 4 NAME
TEST FORM E CLASS_____SCORE_____GRADE
Add or subtract, as indicated.
25.
()( )
62 5 32
8279310511xxx x xx
+−−+ + −+
26.
()( )
332
321 4563tt ttt
−++− + +−
27.
()()
432 42
432 15685aaaa aaa
−+− +−− − +−
28.
()( )
32 52
8 0.7 6 5 0.1 0.4 7xx xxx
−−−−−+−
Multiply.
29.
()
32
34 92xx x
−−−
30.
2
1
5
x
§·
−
¨¸
©¹
31.
()()
4949zz−+
32.
()()
7329bb−−
Multiply.
33.
()()
74
23xx
−+
34.
()()
47 83xx−+
35.
()
()
2
46 79xxx
−−+
36.
()
2
91x
+
37. Evaluate
23
46xy y−+ for
2x
=
and
1y
=−
.
ANSWERS
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
248 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 4 NAME
TEST FORM E CLASS_____SCORE_____GRADE
ANSWERS
38.
39.
40.
41.
42.
43.
44.
38. Combine like terms:
233 2 3
34610ab a ab ab ab
+− + + −
.
39. Subtract:
()()
22 2 2 2 22 2 2
7391097105ab ab ab b ab ab ab b
+−− − −+−
.
40. Multiply:
()()
22
5858xyxy
−+
.
Divide.
41.
()()
43 2 2
18 12 24 3xxx x
−+ ÷
42.
()
()
32
23633 5xxx x
−+−÷−
43. In 2010, the population of New York City was about 8.2 million
people; the population of Los Angeles was 3.8 million people. If
the average person eats about 24.7 pounds of candy each year, how
much more candy did the people of New York City eat than the
people of Los Angeles in 2010? Write scientific notation for the
answer. (Source: www.2010.census.gov)
44. Solve:
()()()
2
2
36825xx x x
−− += −
.
Chapter Tests 249
CHAPTER 4 NAME
TEST FORM F CLASS_____SCORE_____GRADE
1.
47
xxx
⋅⋅
2.
7
2
2
2
3.
()
()
5
5
2
2
k
k 4.
()
2
5
y
5.
()
3
2
3t− 6.
()()
3
32 4
43xy xy−
7.
610
4
28
21
ab
ab 8.
2
2
3
4
3
m
n
§·
¨¸
©¹
9. Express using a positive exponent:
4
3
−
.
10. Express using a negative exponent:
5
1
t
.
Simplify.
11.
57
tt
−−
⋅
12.
53
82
8
2
xy
xy
−
−
12.
()
3
42
4st
−
−
14.
4
xy
z
−
§·
¨¸
©¹
15. Convert to scientific notation: 29,846,000,000.
16. Convert to decimal notation:
8
4.7 10
−
×
.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
250 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 4 NAME
TEST FORM F CLASS_____SCORE_____GRADE
ANSWERS
17.
18.
19.
20.
21.
22.
23.
24.
Multiply or divide and write scientific notation for the result.
17.
5
8
5.6 10
3.2 10
−
×
× 18.
()()
92
2.8 10 3.2 10
−
××
19. Classify
22
2343xy xy x−+− as a monomial, a binomial, a
trinomial, or a polynomial with no special name.
20. Identify the coefficient of each term of the polynomial:
2
29
3xx
+−
.
21. Determine the degree of each term, the leading term and the leading
coefficient, and the degree of the polynomial:
25 3
246zz z z
−+−−
.
22. Evaluate
2
253xx
−+
for
2x
=−
.
Combine like terms and write in descending order.
23.
22
1
23 5
2
tttt
−− +
24.
32 3 2
526497xxxx x
−+ +− +−
Chapter Tests 251
CHAPTER 4 NAME
TEST FORM F CLASS_____SCORE_____GRADE
Add or subtract, as indicated.
25.
()( )
532 542
2438435310xxx xxxx
−+++ +−−−
26.
43 3
51
36 98
44
ttt tt
§·§·
+++ −+
¨¸¨¸
©¹©¹
27.
()()
32 42
4 6 5 12 9 3 10 15aaa aa a
−+ −+− − + −
28.
()( )
42 32
0.3 10 0.7 3 4xx xxx
− +−− −+
Multiply.
29.
()
32
54 27xx x
−−+
30.
2
3
4
x
§·
−
¨¸
©¹
31.
()()
5454yy+−
32.
()()
6527aa++
33.
()()
68
34xx
−+
34.
()( )
92 103xx−+
35.
()
()
2
322 43xxx
−−+
36.
()
2
35a
+
37. Evaluate
32
53xy x− for
2x
=−
and
4y
=
.
ANSWERS
25.
26.
27.
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
252 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 4 NAME
TEST FORM F CLASS_____SCORE_____GRADE
ANSWERS
38.
39.
40.
41.
42.
43.
44.
38. Combine like terms:
33 22 22 3 3
53246sttststsst
−+ − − +
.
39. Subtract:
()()
22 2 3 2 3
10 4 3 4xy xy y xy xy y
−+− −+
.
40. Multiply:
()()
33
4343xyxy
−+
.
Divide.
41.
()()
532 2
10 18 14 2xxx x
+− ÷
42.
()
()
32
10 3 20 7 3zz z z
−− +÷−
43. In 2010, 308.7 million Americans generated approximately 4.3 lb
of trash per day. They recycled approximately 34.1 percent of this.
How many pounds of trash were recycled per day in 2010? Write
scientific notation for the answer.
(Source: www.epa.gov)
44. Solve:
()()()
2
2
34445xx x x
+− += +
.
Chapter Tests 253
CHAPTER 4 NAME
TEST FORM G CLASS_____SCORE_____GRADE
1. Simplify:
54
xxx
⋅⋅
.
a)
10
x
b)
10
3x
c)
20
x
d)
9
x
2. Simplify:
9
3
5
5.
a)
3
5
b)
6
5
c)
6
1 d)
3
1
3. Simplify:
()
3
34
2xy−.
a)
912
6xy− b)
912
8xy− c)
67
8xy− d)
67
6xy−
4. Simplify:
512
66
−
⋅
.
a)
7
1
6
b)
60
6
−
c)
1
42
d)
7
6
5. Simplify:
52
65
24
3
ab
ab
−
.
a)
3
8
ab
b)
7
8ab
c)
7
6
ab
d)
7
8
ab
6. Simplify:
()
3
45
4ab
−
−
.
a)
15
12
12b
a
− b)
15
12
64
b
a c)
8
64
a
b
d)
15
12
64b
a
−
ANSWERS
1.
2.
3.
4.
5.
6.
254 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 4 NAME
TEST FORM G CLASS_____SCORE_____GRADE
ANSWERS
7.
8.
9.
10.
11.
12.
13.
7. Convert to scientific notation: 0.000572.
a)
4
5.72 10
×
b)
5
5.72 10
−
×
c)
4
5.72 10
−
×
d)
6
5.72 10
−
×
8. Convert to decimal notation:
5
4.2 10
×
.
a) 4,200.000 b) 0.000042 c) 42,000 d) 420,000
9. Multiply and write scientific notation for the result:
()( )
79
2.5 10 5.8 10
−
××
.
a)
2
14.5 10
−
×
b)
1
1.45 10
−
×
c)
63
14.5 10
−
×
d)
2
8.3 10
−
×
10. Divide and write scientific notation for the result:
2
9
6.37 10
3.5 10
−
−
×
×.
a)
7
1.82 10
×
b)
11
1.82 10
−
×
c)
7
2.87 10
×
d)
7
1.82 10
−
×
11. Determine the degree and leading coefficient of the polynomial:
3245
856tttt
++−
.
a) 3; 8 b) 5; 1 c)
1;
−
5 d) 5;
1−
12. Evaluate the polynomial
2
45
xx
−+ −
when
2
x
=−
.
a)
9−
b)
1−
c)
17−
d) 9
13. Combine like terms and write in descending order:
3232
632 812 5 10
x xxxx x
−+− +− + −
.
a)
642
32223
xxx
−−+
b)
32
7223
xxx
−++
c)
32
32223
xxx
−++
d)
32
3223
xxx
−++
Chapter Tests 255
CHAPTER 4 NAME
TEST FORM G CLASS_____SCORE_____GRADE
14. Add:
()()
42 32
523 468
xxx xxx
−++ +−
.
a)
42
945
xxx
+−
b)
432
5485
xxxx
++−
c)
432
5445
xxxx
++−
d)
4342
5445
xxxx
++−
15. Subtract:
()()
43 432
324787 8
xxx xxx
−−+− −+−
.
a)
862
55 415
xxxx
−+ −−+
b)
432
11 5 1
xxx
+−−
c)
432
59 415
xxxx
−−−−+
d)
432
55 415
xxxx
−+−−+
16. Multiply:
()
32
34 69
xx x
−+−
.
a)
54 3
12 18 27
xx x
−−+
b)
54
369
xxx
++−
c)
64 3
12 18 27
xx x
−−+
d)
54 3
12 18 27
xx x
−+−
17. Multiply:
()()
8375mm+−
.
a)
2
56 15
m
−
b)
2
56 19 15
mm
−−
c)
2
56 21 15
mm
−−
d)
2
15 19 2
mm
−−
18. Multiply:
()()
4747xx−+
.
a)
2
16 49
x
−
b)
2
814
x
−
c)
2
16 56 49
xx
−+
d)
2
849
x
−
19. Multiply:
()
()
2
12 3 4
xxx
−−+
.
a)
32
25 4
xxx
−+−
b)
32
2574
xxx
−+−
c)
44
x
−
d)
32
3574
xxx
−+−
ANSWERS
14.
15.
16.
17.
18.
19.
256 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 4 NAME
TEST FORM G CLASS_____SCORE_____GRADE
ANSWERS
20.
21.
22.
23.
24.
20. Multiply:
()
2
35
ab
−
.
a)
22
925
ab
−
b)
22
915 25
aabb
−+
c)
22
93025
aabb
−−
d)
22
930 25
aabb
−+
21. Divide:
()()
432 2
12 15 21 3
xxx x
−+ ÷
.
a)
2
91218
xx
−+
b)
21.5
457
xx
−
c)
2
457
xx
−+
d)
43
12 5 7
xx
−+
22. Divide:
()
()
32
12 8 9 5 2
xxx x
+−+÷−
.
a)
2
41
12 16 23 2
xx x
−+−
−
b)
2
77
12 16 41 2
xx x
−−−
−
c)
2
115
12 32 55 2
xx x
+++
−
d)
2
145
12 32 75 2
xx x
+−−
−
23. Multiply:
() ()
22
43 43
xxxx
ªºªº
−− −+
¬¼¬¼
.
a)
42
9816
xx x
−+−
b)
42
616
xx
+−
c)
42
916
xx
−++
d)
42
9816
xx x
−+−+
24. In 2005, 296.4 million Americans consumed an average of 85.5 lb
of fats and oils each. In 1990, 248.9 million Americans consumed
an average of 65.3 lb of fats and oils each. How many more pounds
of fats and oils were consumed altogether by Americans in 2005
than in 1990? Write scientific notation for the answers.
(Source: www.mmmars.com and www.mms.com)
a)
8
9.6 10×
lb b)
9
6.0 10×
lb
c)
9
9.1 10×
lb d)
9
5.0 10×
lb
Chapter Tests 257
CHAPTER 4 NAME
TEST FORM H CLASS_____SCORE_____GRADE
1. Simplify:
64
ax x
⋅⋅
.
a)
10
a
b)
4
3
a
c)
24
a
d)
11
a
2. Simplify:
8
4
6
6.
a)
2
6
b)
4
6
c)
4
1 d)
12
6
3. Simplify:
()
3
56
4xy−.
a)
15 18
12xy− b)
89
12xy− c)
15 18
64xy− d)
89
64xy−
4. Simplify:
85
44
.
a)
3
1
4
b)
1
12
c)
40
1
4
d)
3
1
16
5. Simplify:
53
6
36
15
xy
xy
.
a)
5
3
12
5
x
y
b)
4
9
12
5
x
y
c)
52
12
5
xy d)
4
3
12x
y
6. Simplify:
3
86
3ab
.
a)
24
18
27
a
b b)
24
18
9a
b
c)
3
11
27
b
a d)
3
11
27b
a
ANSWERS
1.
2.
3.
4.
5.
6.
258 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 4 NAME
TEST FORM H CLASS_____SCORE_____GRADE
ANSWERS
7.
8.
9.
10.
11.
12.
13.
7. Convert to scientific notation: 0.00405.
a)
4
4.05 10
−
×
b)
5
4.05 10
−
×
c)
4
4.05 10×
d)
3
4.05 10
−
×
8. Convert to decimal notation:
5
5.3 10×
.
a) 5,300 b) 530,000 c) 53,000 d) 5,300,000
9. Multiply and write scientific notation for the result:
()()
73
1.6 10 8.3 10
−−
××
.
a)
3
9.9 10
−
×
b)
10
13.28 10
−
×
c)
9
1.328 10
−
×
d)
10
9.9 10
−
×
10. Divide and write scientific notation for the result:
5
8
6.05 10
2.2 10
−
−
×
×.
a)
3
2.75 10
−
×
b)
3
2.75 10×
c)
3
3.85 10×
d)
13
2.75 10×
11. Determine the degree and leading coefficient of the polynomial:
342
72538
tttt
+−+−
.
a) 7; 3 b) 5; 7 c) 4; 7 d) 4;
5−
12. Evaluate the polynomial
2
361
xx
−+−
when
3
x
=−
.
a)
46−
b) 9 c)
1−
d)
8−
13. Combine like terms and write in descending order:
32 23
45 2 4 7 9 8 11
xx x xx x
−+ − ++ − −
.
a)
32
65127
xx x
−+−+
b)
642
6527
xxx
−+ + −
c)
32
6527
xxx
−+ +−
d)
32
10 13 12 7
xxx
+−−
Chapter Tests 259
CHAPTER 4 NAME
TEST FORM H CLASS_____SCORE_____GRADE
14. Add:
()( )
32
468 4511
xx xx
+−+− ++
.
a)
11 3
x
+
b)
32
44113
xx x
−++
c)
52
16 30 88
xx
+−
d)
32
4 4 11 19
xx x
−++
15. Subtract:
()()
432 432
12 6 5 6 3 8 7 9
xxx xxxx
−+−− +−−
.
a)
432
914296
xxxx
−−+−
b)
864
9141296
xxxx
−++−
c)
432
152296
xxxx
+−−−
d)
432
9141296
xxxx
−++−
16. Multiply:
()
42
23 56
xx x
−−+
.
a)
654
61012
xxx
−+ −
b)
654
74
xxx
−+
c)
854
61012
xxx
−+ −
d)
6
256
xx
−−+
17. Multiply:
()()
25 4tt−+
.
a)
2
220
t
−
b)
2
220
tt
−−
c)
2
2320
tt
+−
d)
2
21
t
−
18. Multiply:
()()
8787xx−+
.
a)
2
16 14
x
−
b)
2
64 49
x
−
c)
2
64 49
x
+
d)
64 49
x
−
19. Multiply:
()
()
2
13 2 7
xxx
+−+
.
a)
32
357
xx x
+++
b)
32
3557
xxx
+++
c)
32
3558
xxx
+++
d)
2
637
xx
++
ANSWERS
14.
15.
16.
17.
18.
19.
260 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 4 NAME
TEST FORM H CLASS_____SCORE_____GRADE
ANSWERS
20.
21.
22.
23.
24.
20. Multiply:
()
2
35
st
+
.
a)
22
925
st
+
b)
22
91525
sstt
++
c)
22
63010
sstt
+−
d)
22
93025
sstt
++
21. Divide:
()()
532 2
48 36 18 6
xxx x
−+ ÷
.
a)
2.5 1.5
863
xxx
−+
b)
5
42 36 12
xx
−+
c)
3
863
xx
−+
d)
32
863
xxx
−+
22. Divide:
()
()
32
9353 2
xxx x
+−+÷+
.
a)
2
77
92137 2
xx x
+++
+
b)
2
73
91535 2
xx x
−−+
+
c)
2
67
91535 2
xx x
−−−
+
d)
2
47
91525 2
xx x
−+−
+
__________________________________________________________
23. Multiply:
()( )()()
411 38xx xx−+=−−
.
a) 5 b)
11,
3, 4, 8
c)
68
3
−
d)
34
9
24. The average American male consumes 178 calories from sugar
drinks in a day. The average American female consumes 103
calories from sugar drinks in a day. In the course of a year, how
many more calories from sugar drinks does a male consume than a
female? Write scientific notation for the answer.
(Source: www.cdc.gov)
a)
4
6.5 10×
Cal b)
3
2.74 10×
Cal
c)
4
2.74 10×
Cal d)
1
2.05 10
−
×
Cal
Chapter Tests 261
CHAPTER 5 NAME
TEST FORM A CLASS_____SCORE_____GRADE
Factor completely. If a polynomial is prime, state this.
1.
2
524tt−− 2.
2
16 8xx++
3.
432
15 18 6yyy−+ 4.
32
9436xxx+++
5.
64
69ww− 6.
32
23aaa−−
7.
2
15 21 6xx−+ 8.
2
91t−
9.
32
16 36 36mmm−+ + 10.
3
540t−
11.
2
18 48 32rr−+ 12.
4
55x−
13.
2
42025tt++ 14.
43
8540mmm+++
15.
2
25xx++ 16.
32
84424mmm+−
17.
22
48 64 20mmnn−+
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
262 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 5 NAME
TEST FORM A CLASS_____SCORE_____GRADE
ANSWERS
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
Solve.
18.
2
560xx−+= 19.
2
3207tt−=
20.
2
630 0xx−= 21.
2
49 4a=
22.
()
318yy−=
23. Find the x-intercepts for the graph of
2
73320yx x=−+.
24. The length of a rectangle is 2 m more than the width. The area of
the rectangle is 35 m
2
. Find the length and width.
25. The formula
2
Nx x=− can be used to determine the total number
of games played, N, in a league of x teams in which all teams play
each other twice. If there are 110 games in such a league, how
many teams are there?
26. Jasmine walked due south from her house for 1.2 miles, then turned
and walked due east for 3.5 miles. How far was Jasmine from her
house as measured along a straight line between where she started
and where she finished?
__________________________________________________________
27. Factor:
()()
2
53 540xx−+ −−
.
28. Solve:
()( )
22
42 7 14 53 45 0xxx x−+−=
.
Chapter Tests 263
CHAPTER 5 NAME
TEST FORM B CLASS_____SCORE_____GRADE
Factor completely. If a polynomial is prime, state this.
1.
2
11 18xx++
2.
2
100 20xx++
3.
432
61210yyy−+ 4.
32
236xxx−+−
5.
52
2yy− 6.
32
235aa a+−
7.
2
58 14 8xx++
8.
2
481t−
9.
32
10 48 10mmm−+ +
10.
3
44y
−
11.
2
16 48 36rr++
12.
4
3 243x−
13.
2
25 40 16tt−+
14.
43
7321xxx−+−
15.
2
37xx−+
16.
32
14 30 4xxx++
17.
22
18 75 42mmnn−+
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
264 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 5 NAME
TEST FORM B CLASS_____SCORE_____GRADE
ANSWERS
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
Solve.
18.
2
8150xx−+=
19.
2
65tt+=
20.
2
46 0xx+=
21.
2
25 16a=
22.
()
514mm+=
23. Find the x-intercepts for the graph of
2
2137yx x
=+−
.
24. The length of a rectangle is 4 in. more than the width. The area of
the rectangle is 45 in
2
. Find the length and width.
25. The formula
2
Nx x=−
can be used to determine the total number
of games played, N, in a league of x teams in which all teams play
each other twice. If there are 20 games in such a league, how many
teams are there?
26. Tom painted a large rectangular mural on his living room wall. The
diagonal of the mural measures 10 ft. If the mural is 6 ft tall, how
wide is it?
__________________________________________________________
27. Factor:
() ()
2
110 121xx++ ++
.
28. Solve:
()()()
2
23733030xx xx x−+ −− −=
.
Chapter Tests 265
CHAPTER 5 NAME
TEST FORM C CLASS_____SCORE_____GRADE
Factor completely. If a polynomial is prime, state this.
1.
2
10 16mm−+
2.
2
36 12xx+−
3.
432
15 12 6yyy
+−
4.
32
2510xxx−−+
5.
85
4mm−
6.
32
815aa a−+
7.
2
51 9 18xx−+
8.
2
25 9w−
9.
32
6960mm m−− +
10.
3
324x+
11.
2
20 60 45rr−+
12.
4
2 162x−
13.
2
169 26 1tt++
14.
43
8432ttt−−+
15.
2
58xx−+
16.
32
94245www++
17.
22
24 52 20mmnn+−
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
266 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 5 NAME
TEST FORM C CLASS_____SCORE_____GRADE
ANSWERS
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
Solve.
18.
2
4210xx−−=
19.
2
2320tt+=
20.
2
915 0xx−=
21.
2
16 81a=
22.
()
820xx+=
23. Find the x-intercepts for the graph of
2
81915yx x
=−−
.
24. The length of a rectangle is 3 cm more than the width. The area of
the rectangle is 28
2
cm . Find the length and width.
25. The formula
2
Nx x=−
can be used to determine the total number
of games played, N, in a league of x teams in which all teams play
each other twice. If there are 72 games in such a league, how many
teams are there?
26. A tall flagpole at the local community college is stabilized by a
41-ft piece of guy wire that is attached to the pole and to the ground
9 ft from the bottom of the pole. How high up the flagpole is the
wire attached?
__________________________________________________________
27. Factor:
()()
2
64 632bb+− +−
.
28. Solve:
42
25 144xx=−
.
Chapter Tests 267
CHAPTER 5 NAME
TEST FORM D CLASS_____SCORE_____GRADE
Factor completely. If a polynomial is prime, state this.
1.
2
328xx−−
2.
2
64 16xx++
3.
43 2
18 6 42yy y
−+
4.
32
4520xxx+++
5.
73
510tt−
6.
32
30aa a+−
7.
2
26 24 8xx−+
8.
2
36 25t−
9.
32
62816mmm−+ −
10.
3
10 1250x+
11.
2
50 20 2rr−+
12.
4
232x−
13.
2
81 90 25tt−+
14.
43
9218www−+−
15.
2
45xx−+
16.
32
10 36 16xxx−−
17.
22
50 65 15mmnn−−
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
268 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 5 NAME
TEST FORM D CLASS_____SCORE_____GRADE
ANSWERS
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
Solve.
18.
2
2240xx−−=
19.
2
423 15tt−=−
20.
2
520 0xx+=
21.
2
449a=
22.
()
318xx−=
23. Find the x-intercepts for the graph of
2
347yx x
=+−
.
24. The length of a rectangle is 6 in. more than the width. The area of
the rectangle is 16 in
2
. Find the length and width.
25. The formula
2
Nx x=−
can be used to determine the total number
of games played, N, in a league of x teams in which all teams play
each other twice. If there are 42 games in such a league, how many
teams are there?
26. Shana climbs a 17-ft ladder that leans against her house. If the
bottom of the ladder is 8 ft from the house, how high up the side of
the house does the ladder reach?
__________________________________________________________
27. Factor:
()()
2
96 98aa+− ++
.
28. Solve:
()()()
22 2 2
3484340xx xx x−− −− −=
.
Chapter Tests 269
CHAPTER 5 NAME
TEST FORM E CLASS_____SCORE_____GRADE
Factor completely. If a polynomial is prime, state this.
1.
2
10 16ww−+
2.
2
96tt+−
3.
432
12 18 3yyy
−+
4.
32
3618xxx−−+
5.
10 6
14 42yy
−
6.
32
28aaa+−
7.
2
21 60 9xx−−+
8.
2
81 4t−
9.
32
10 45 90mmm−+ +
10.
3
4 4000x+
11.
2
98 56 8rr−+
12.
4
33x−
13.
2
144 24 1tt++
14.
43
6954aaa+−−
15.
2
78xx−+
16.
32
628rrr+−
17.
22
24 30 9mmnn−−
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
270 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 5 NAME
TEST FORM E CLASS_____SCORE_____GRADE
ANSWERS
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
Solve.
18.
2
3180xx+−=
19.
2
576tt+=
20.
2
69 0xx+=
21.
2
25 4a=
22.
()
710mm+=−
23. Find the x-intercepts for the graph of
2
43yxx
=+−
.
24. The length of a rectangle is 5 ft more than the width. The area of
the rectangle is 36 ft
2
. Find the length and width.
25. The formula
2
Nx x=−
can be used to determine the total number
of games played, N, in a league of x teams in which all teams play
each other twice. If there are 56 games in such a league, how many
teams are there?
26. The measure of the hypotenuse of the right triangular sail on Ray’s
sailboat is 26 ft. If the sail is 24 ft high, how wide is it?
__________________________________________________________
27. Factor:
()()
2
72 780mm−− −−
.
28. Solve:
()( )
22
12 6 6 7 55 0tttt−−−=
.
Chapter Tests 271
CHAPTER 5 NAME
TEST FORM F CLASS_____SCORE_____GRADE
Factor completely. If a polynomial is prime, state this.
1.
2
421tt−−
2.
2
49 14ww+−
3.
432
12 20 16yyy
−−
4.
32
77xx x+−−
5.
97
7mm−
6.
32
12aa a−−
7.
2
54 36 10xx−+
8.
2
964t−
9.
32
83640mmm−+ −
10.
3
254m−
11.
2
12 60 75rr++
12.
4
348x−
13.
2
36 60 25tt++
14.
43
4520xxx+−−
15.
4
89xx++
16.
32
10 75 35xxx−+
17.
22
12 10 8mmnn+−
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
272 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 5 NAME
TEST FORM F CLASS_____SCORE_____GRADE
ANSWERS
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
Solve.
18.
2
12 0xx−− =
19.
2
213 6tt−=−
20.
2
10 45 0xx−=
21.
2
16 25a=
22.
()
76ww+=−
23. Find the x-intercepts for the graph of
2
228yxx
=+−
.
24. The length of a rectangle is 2 m more than the width. The area of
the rectangle is 63 m
2
. Find the length and width.
25. The formula
2
Nx x=−
can be used to determine the total number
of games played, N, in a league of x teams in which all teams play
each other twice. If there are 132 games in such a league, how
many teams are there?
26. The diagonal measure of a rectangular computer screen is 51 cm. If
the screen is 24 cm tall, how wide is it?
__________________________________________________________
27. Factor:
()()
2
43410tt+−+−
.
28. Solve:
42
82 81 0xx−+=
.
Chapter Tests 273
CHAPTER 5 NAME
TEST FORM G CLASS_____SCORE_____GRADE
1. Find one of the factors when
2
224xx−−
is factored completely.
a)
4x−
b)
6x−
c)
8x−
d)
3x−
2. Find one of the factors when
2
81 25x−
is factored completely.
a)
59x−
b)
5x−
c)
35x+
d)
95x−
3. Find one of the factors when
2
6720xx+−
is factored completely.
a)
34x−
b)
25x−
c)
65x+
d)
34x+
4. Find one of the factors when
2
75 60 12xx−+
is factored
completely.
a)
52x+
b)
32x+
c)
52x−
d)
15 2x−
5. Find one of the factors when
43
4312xxx+−−
is factored
completely.
a)
4x−
b)
3
3x−
c)
3
3x+
d)
3x−
6. Find one of the factors when
2
41715xx−−
is factored completely.
a)
43x−
b)
43x+
c)
23x+
d)
5x+
7. Find one of the factors when
3
864t−
is factored completely.
a)
2t+
b)
4t−
c)
4t+
d)
2t−
8. Find one of the factors when
4
256x−
is factored completely.
a)
2x−
b)
2x+
c)
2
4x+
d)
2
16x+
9. Find one of the factors when
2
92416xx−+
is factored completely.
a)
34x−
b)
8x−
c)
34x+
d)
32x+
10. Find one of the factors when
22
612xxy y
−−
is factored
completely.
a)
23xy+
b)
32xy−
c)
23xy−
d)
34xy−
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
274 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 5 NAME
TEST FORM G CLASS_____SCORE_____GRADE
ANSWERS
11.
12.
13.
14.
15.
16.
17.
18.
19.
11. Solve:
2
627xx+=
.
a)
3,−
9 b)
9,−
3−
c)
9,−
3 d) 3, 9
12. Solve:
2
822210xx+−=
.
a)
2,
7
−
4
3
b)
3,
4
−
7
2
c)
4,
3
−
7
2
d)
7,
2
−
3
4
13. Solve:
()
445xx−=
.
a)
9,−
5−
b)
5,−
9 c) 5, 9 d)
9,−
5
14. Solve:
2
16 25t=
.
a)
4,
5
−
4
5
b)
5,
8
−
5
8
c)
5,
4
−
5
4
d)
8,
5
−
8
5
15. Find the x-intercept(s) for the graph of
2
274yx x
=−−
.
a)
1,0 ,
2
§·
−
¨¸
©¹
()
4, 0
b)
()
1, 0 ,−
()
4, 0
c)
()
0, 4−
d)
()
4, 0 ,−
1,0
2
§·
¨¸
©¹
16. The length of a rectangle is 9 cm more than the width. The area of
the rectangle is 90 cm
2
. Find the length of the rectangle.
a) 10 cm b) 15 cm c) 9 cm d) 12 cm
17. A pebble is thrown straight down from the top of a cliff to a stream
below at an initial velocity of 8 ft/sec. The distance s that the
pebble falls after t seconds is given by
2
816
st t
=+
. If the cliff is
224 ft tall, in how many seconds will the pebble reach the stream?
a)
1
32
sec b) 4 sec c) 14 sec d) 3 sec
__________________________________________________________
18. Find one of the factors when
()()
2
23 32354
aa
−− −−
is factored
completely.
a)
23
a
−
b)
6
a
+
c)
9
a
−
d)
6
a
−
19. Solve:
32
3412
xxx
+−=
.
a)
3,−
4 b)
3,−
2−
c)
3,−
2,−
2 d)
2,−
2, 2
Chapter Tests 275
CHAPTER 5 NAME
TEST FORM H CLASS_____SCORE_____GRADE
1. Find one of the factors when
2
524xx−−
is factored completely.
a)
3x−
b)
6x−
c)
8x−
d)
4x+
2. Find one of the factors when
2
64 49x−
is factored completely.
a)
87x−
b)
27x+
c)
78x−
d)
16 7x−
3. Find one of the factors when
2
12 19 21xx+−
is factored
completely.
a)
37x+
b)
34x+
c)
43x+
d)
37x−
4. Find one of the factors when
2
16 48 36xx−+
is factored
completely.
a)
23x+
b)
32x−
c)
43x−
d)
23x−
5. Find one of the factors when
43
2510xxx−−+
is factored
completely.
a)
2x−
b)
3
5x+
c)
3
2x+
d)
5x−
6. Find one of the factors when
2
51616xx−−
is factored completely.
a)
8x−
b)
54x+
c)
54x−
d)
4x+
7. Find one of the factors when
3
2 250t−
is factored completely.
a)
2
525tt−+
b)
5t+
c)
2
525tt++
d)
2
10 25tt++
8. Find one of the factors when
4
232x−
is factored completely.
a)
4x−
b)
4x+
c)
2
2x+
d)
2
4x+
9. Find one of the factors when
2
12 108 243xx−+
is factored
completely.
a)
29x−
b)
23x+
c)
43x−
d)
29x+
10. Find one of the factors when
22
81415xxyy
−−
is factored
completely.
a)
25xy+
b)
43xy−
c)
43xy+
d)
45xy−
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
276 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 5 NAME
TEST FORM H CLASS_____SCORE_____GRADE
ANSWERS
11.
12.
13.
14.
15.
16.
17.
18.
19.
11. Solve:
2
310xx−=
.
a)
5,−
9 b)
1,−
10 c) 2, 5 d)
2,−
5
12. Solve:
2
53470xx+−=
.
a)
1,
5
−
7 b)
7,
5
−
1 c)
7,−
1
5
d)
1,−
7
5
13. Solve:
()
280xx−=
.
a) 8, 10 b)
8,−
10 c)
10,−
8 d)
4,−
20
14. Solve:
2
69 0tt−=
.
a)
2
3
b) 0,
3
2
c) 0,
2
3
−
d) 0,
2
3
15. Find the x-intercept(s) for the graph of
2
31330yx x
=+−
.
a)
()
6, 0 ,−
5,0
3
§·
¨¸
©¹
b)
5,0 ,
3
§·
−
¨¸
©¹
()
6, 0
c)
()
0, 30−
d)
()
6, 0 ,−
3,0
5
§·
¨¸
©¹
16. The length of a rectangle is 4 cm more than the width. The area of
the rectangle is 192 cm
2
. Find the length of the rectangle.
a) 12 cm b) 24 cm c) 16 cm d) 48 cm
17. A ball is thrown straight down from the top of a grandstand to the
ground below at an initial velocity of 8 ft/sec. The distance s that
the ball falls after t seconds is given by
2
816st t=+
. If the
grandstand is 120 ft tall, in how many seconds will the ball hit the
ground?
a) 3 sec b)
1
12
sec c) 5 sec d)
1
22
sec
__________________________________________________________
18. Find one of the factors when
()()
2
31 23163aa−− −−
is factored
completely.
a)
2a−
b)
310a−
c)
9a−
d)
7a+
19. Solve:
32
2918xxx+−=
.
a)
3,−
2,−
3 b)
3,−
2, 3 c)
2,−
9 d)
6,−
3
Chapter Tests 277
CHAPTER 6 NAME
TEST FORM A CLASS_____SCORE_____GRADE
List all numbers for which each expression is undefined.
1.
7
8
x
x
−
2.
2
2
43
820
xx
xx
++
+−
3. Simplify:
2
2
23
65
xx
xx
−−
++
.
Multiply or divide and, if possible, simplify.
4.
32
2
15 81
35412
tt
tt t
−
⋅
+−
5.
22
22
4921315
324 56
www
wwww
−++
÷
−−−
6.
22
22
551
25 1 25 15 4
aa
aaa
−
÷
−+−
7.
()
()
2
2
2
4
816 16
x
xx x
−
++ ⋅ −
8. Find the LCM:
2
4,x−
2
13 22,xx++
2
9 22.xx+−
Add or subtract and, if possible, simplify.
9.
22
4132xx
xx
+−
+ 10.
22
59
44
tt
tt
−−
−
++
11.
29
77
xx
xx
−−
+
−−
12.
8210
22
xx
xx
−−
−
−−
13.
42
7tt
+
− 14.
22
53
16 3 4
x
xxx
+
−
−+−
15.
22
23 5
8641664xx xx
++
+− ++
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
278 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 6 NAME
TEST FORM A CLASS_____SCORE_____GRADE
ANSWERS
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
Simplify.
16.
2
19
13
y
y
−
+
17.
3
3
22
3
x
x
x
−
+
Solve.
18.
5213
32yy
−= 19.
14 14 5
5xx
−=−
−
20. Cole and Meredith work as gardeners at the Mayflower Hotel. Cole
alone can weed the gardens in 10 hours. Meredith can do the job in
12 hours alone. If both work together, how fast can they weed the
gardens at the hotel?
21. Corey and Sam work together to weed a garden in
2
25
hr. Working
alone, it would take Sam 2 hr more than it would take Corey. How
long would it take each of them to complete the task working
alone?
22. Half a cup of trail mix cereal has 180 calories. How much trail mix
cereal would have 100 calories?
23. Corey drives 7 mph over the speed limit on a suburban street. In
the time that Corey drives 4 miles, a car driving the posted speed
limit could drive
1
33
miles. What is the speed limit and how fast is
Corey driving?
_________________________________________________________
24. Twice a number’s square is sixteen times the number’s reciprocal.
Find the number.
25. Simplify:
1
51
51
5z
−
−
−
.
Chapter Tests 279
CHAPTER 6 NAME
TEST FORM B CLASS_____SCORE_____GRADE
List all numbers for which each expression is undefined.
1.
23
5
x
x
+
2.
2
2
2
11 10
xx
xx
−−
−+
3. Simplify:
2
2
34
7125
xx
xx
+−
−+
.
Multiply or divide and, if possible, simplify.
4.
24
2
25 25
30 30
tt
ttt
−⋅−−
5.
22
22
25 9 5 13 6
6 30 3 19 20
ttt
tttt
−++
÷
+++
6.
22
22
444
412
aaa
aa a
−++
÷
+−
7.
()
()
2
2
2
3
69 9
x
xx x
+
−+⋅ −
8. Find the LCM:
2
81,w−
2
718,ww+−
Add or subtract and, if possible, simplify.
9.
44
23x
xx
−
+
10.
22
425
22
tt
tt
−−
−
++
11.
15
66
xx
xx
−−
+
−−
12.
6316
55
xx
xx
−−
−
−−
13.
33
5tt
+
−
14.
22
61
9524
x
xxx
+
−
−+−
15.
22
13 2
416816xx xx
++
−− −+
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
2
11 18.ww−+
280 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 6 NAME
TEST FORM B CLASS_____SCORE_____GRADE
ANSWERS
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
Simplify.
16.
2
1
25
1
5
y
y
−
−
17.
5
5
33
5
x
x
x
−
+
Solve.
18.
7537
6yy
−= 19.
12 12 1
1xx
−=−
−
20. Andi and John own a company that specializes in car detailing. If
Andi washes, buffs, and details a car, she can do the job in 81 min.
John can do the same job in 54 min. If they work together on the
same car, how long will it take to complete the job?
21. Genny and Ty work together to clean the rooms in a B&B in
2
29
hr.
Working alone, it would take Genny 1 more hour than it would take
Ty. How long would it take each of them to complete the cleaning
working alone?
22. Twenty-seven cheese crackers have 160 calories. How many
crackers would have 200 calories?
23. Vanessa drives 12 mph over the speed limit on a narrow country
road. In the time that Vanessa drives 19.5 miles, a car driving the
posted speed limit could drive 15 miles. What is the speed limit
and how fast is Vanessa driving?
__________________________________________________________
24. Chloe can plant a garden in 6 hr. When Chloe and Meg work
together, the job takes 4 hr. When working together, what
percentage of the job is done by Meg? Round to the nearest
percent.
25. Simplify:
23 2
22 2
91 16 5228
412 11 5 4 23 35
ttttt
ttt t t t
−− ++
⋅÷
−+−−−
.
Chapter Tests 281
CHAPTER 6 NAME
TEST FORM C CLASS_____SCORE_____GRADE
List all numbers for which each expression is undefined.
1.
3
2
x
x
−
2.
2
2
6
20
xx
xx
+−
−−
3. Simplify:
2
2
472
314
xx
xx
+−
−− .
Multiply or divide and, if possible, simplify.
4.
42
22
15 16
81625
tt
tt t
−
⋅
++
5.
22
22
36 1 6 17 3
54 5 4
xxx
xxxx
−−−
÷
+−−
6.
22
22
91563
91 91
aa a
aa
−−
÷
−+
7.
()
()
2
2
2
5
10 25 25
x
xx x
−
++⋅
−
8. Find the LCM:
2
100,t−
2
370,tt+−
Add or subtract and, if possible, simplify.
9.
85
33
x
xx
−
+
10.
22
94 3
33
tt
tt
−−
−
++
11.
81
33
xx
xx
−−
+
−−
12.
92 4
13 13
xx
xx
−+
−
−−
13.
85
3tt
+
−
14.
22
42
25 20
x
xxx
+
−
−+−
15.
22
41 2
6361236xx xx
++
+− ++
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
2
3 70.tt−−
282 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 6 NAME
TEST FORM C CLASS_____SCORE_____GRADE
ANSWERS
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
Simplify.
16.
2
1
9
1
81
y
y
−
−
17.
4
4
33
4
x
x
x
−
+
Solve.
18.
4614
53yy
−= 19.
16 16 12
6xx
−=
−
20. Huck and Jim push a raft between two towns on the Mississippi
River. If Huck pushes the raft alone, he can get to the next town in
75 min. Jim can make the same trip in 60 min. If Huck and Jim
push the raft together, how long will the trip take?
21. Jo and Elana work together to prepare a meal for their book club in
5
17
hr. Working alone, it would take Jo 1 hr more than it would
take Elana. How long would it take each of them to complete the
task, working alone?
22. A ranger caught 20 trout, tagged them and returned them to the
lake. Two weeks later, he caught 16 trout and 5 of them were
tagged. Estimate the number of trout in the lake.
23. Cody can eat 0.5 hotdog/min faster than Garrett can. In the same
time that Garrett eats 18 hotdogs, Cody eats 24 hotdogs. Find the
rate of hotdog consumption for each man.
__________________________________________________________
24. The square of a number is one-eighth of the number’s reciprocal.
Find the number.
25. Simplify:
1
21
21
2z
−
−
−
.
Chapter Tests 283
CHAPTER 6 NAME
TEST FORM D CLASS_____SCORE_____GRADE
List all numbers for which each expression is undefined.
1.
51
6
x
x
+
2.
2
2
28
421
xx
xx
−−
+−
3. Simplify:
2
2
294
295
xx
xx
++
−−
.
Multiply or divide and, if possible, simplify.
4.
32
22
21 2 24
36 14
tt t
tt
+−
⋅
−
5.
22
22
412158
4126173
aaa
aaaa
−−−
÷
++−
6.
22
22
485 41
842025
aa a
aaa
+− −
÷++
7.
()
()
2
2
2
7
14 49 49
x
xx x
+
−+⋅
−
8. Find the LCM:
2
36,x−
2
248,xx−−
Add or subtract and, if possible, simplify.
9.
32
44
x
xx
−+
+
10.
22
78
66
tt
tt
−−
−
++
11.
65
22
xx
xx
−−
+
−−
12.
2413
55
xx
xx
+−
−
−−
13.
56
1tt
+
−
14.
22
75
36 7 6
x
xxx
+
−
−++
15.
22
61 3
2444xx xx
++
+−++
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
2
14 48.xx−+
284 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 6 NAME
TEST FORM D CLASS_____SCORE_____GRADE
ANSWERS
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
Simplify.
16.
2
1
16
1
4
y
y
−
−
17.
6
6
55
6
x
x
x
−
+
Solve.
18.
8110
2yy
−= 19.
15 15 10
2xx
−=−
−
20. Kelly and Brig design and create bulletin boards for faculty
members at their college. Kelly can design and create bulletin
boards for a classroom in 6 hr. Brig can do the same job in 7.5 hr.
How long would it take Kelly and Brig, working together, to
complete the bulletin boards for a classroom?
21. Barry and Silvana work together to harvest a bed of squash at a
community garden in 4 hr. Working alone, it would take Barry 6 hr
more than it would take Silvana. How long would it take each of
them to complete the task, working alone?
22. A ranger caught 30 gulls in a park, tagged them and then released
them. A few weeks later, she caught 20 gulls and found that 6 of
them were tagged. Estimate the number of gulls at that park.
23. Maria drives 21 km/hr faster than B.J. In the same time that B.J.
drives 369 km, Maria drives 463.5 km. Find the speed of each car.
__________________________________________________________
24. Doris can paint a room in 4 hr. When Doris and Manuel work
together, the job takes 1.5 hr. When working together, what
percentage of the job is done by Doris? Round to the nearest
percent.
25. Simplify:
2
32
32
3z
−
−
−
.
Chapter Tests 285
CHAPTER 6 NAME
TEST FORM E CLASS_____SCORE_____GRADE
List all numbers for which each expression is undefined.
1.
3
4
x
x
+
2.
2
2
514
43
xx
xx
−−
++
3. Simplify:
2
2
32336
2179
xx
xx
−−
−−
.
Multiply or divide and, if possible, simplify.
4.
2
32
71818
24 4
tt t
tt
+−⋅−
5.
22
22
16 25 4 7 15
3 18 3 16 12
aaa
aaaa
−−−
÷
−−−
6.
22
22
10 25 4
25 10 1 25 5 2
aa
aa aa
−
÷
++ −−
7.
()
()
2
2
2
10
20 100 100
x
xx x
+
−+ ⋅
−
8. Find the LCM:
2
25,w−
2
215,ww+−
Add or subtract and, if possible, simplify.
9.
33
34x
xx
−
+
10.
22
82 3 7
55
xx
xx
−−
−
++
11.
10 3
44
xx
xx
−−
+
−−
12.
3104
33
xx
xx
−−
−
−−
13.
12
11tt
+
−
14.
22
41
4914
x
xxx
+
−
−−+
15.
22
42 3
3969xx xx
++
−−−+
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
2
8 15.ww++
286 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 6 NAME
TEST FORM E CLASS_____SCORE_____GRADE
ANSWERS
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
Simplify.
16.
2
1
4
1
2
y
y
−
−
17.
7
7
44
7
x
x
x
−
+
Solve.
18.
53 34
4yy
−=− 19.
18 18 3
3xx
−=−
−
20. Tom and Latoya take turns cleaning the kitchen after dinner. When
Tom cleans, he finishes the job in 24 min. Latoya cleans the
kitchen in 30 min. How long would it take the two of them,
working together, to clean the kitchen?
21. Alpha Team and Delta Team work together to harvest a field of
strawberries in
2
63
hr. Working alone, it would take Alpha Team
3 hr more than it would take Delta Team. How long would it take
each of them to complete the task, working alone?
22. Josiah has a recipe which makes two loaves of bread. It calls for
1
62
cups flour. If Josiah wants to make 5 loaves of bread, how
much flour should he plan on using?
23. Theresa adopts two dogs, Misty and Flash, from an organization
that finds home for retired racing greyhounds. Misty runs 2.4 mph
faster than Flash. In the same time that Flash runs 5 mi, Misty runs
1
53
mi. What is the speed of each greyhound?
__________________________________________________________
24. Simplify:
1
41
41
4x
−
−
−
.
25. The square of one less than a number is the same as five more than
the number squared. What is the number?
Chapter Tests 287
CHAPTER 6 NAME
TEST FORM F CLASS_____SCORE_____GRADE
List all numbers for which each expression is undefined.
1.
23
3
x
x
+
2.
2
2
32
30
xx
xx
−+
+−
3. Simplify:
2
2
675
31330
xx
xx
+−
−−
.
Multiply or divide and, if possible, simplify.
4.
2
32
16 4
12 20
tt
ttt
−⋅+−
5.
22
22
49 4 7 19 6
2 10 4 17 15
yyy
yyyy
−+−
÷
−−−
6.
22
22
991
93291
aa
aa a
+
÷
−− −
7.
()
()
2
2
2
6
12 36 36
x
xx x
−
++⋅
−
8. Find the LCM:
2
64,y−
2
11 24,yy++
2
524yy−−.
Add or subtract and, if possible, simplify.
9.
22
814
33
x
xx
+
+
10.
22
636
11
tt
tt
−−
−
++
11.
37
55
xx
xx
−−
+
−−
12.
415 5
44
xx
xx
−−
−
−−
13.
63
4tt
+
−
14.
22
34
96
x
xxx
+
−
−−−
15.
22
23 10
5251025xx xx
++
−− −+
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
288 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 6 NAME
TEST FORM F CLASS_____SCORE_____GRADE
ANSWERS
16.
17.
18.
19.
20.
21.
22.
23.
24.
25.
Simplify.
16.
2
1
7
1
49
y
y
−
−
17.
9
9
22
9
x
x
x
−
+
Solve.
18.
24 2
35yy
−=− 19.
20 20 2
5xx
−=−
−
20. College students Rick and Denzel started a cleaning service during
their sophomore year. If Rick works alone, he can clean a
townhouse apartment in 3 hours. Denzel can clean the same
apartment in 2 hours. How long would it take to
clean the same apartment if both students worked together?
21. Kristy has a recipe for oatmeal cookies. The recipe makes 36
cookies and calls for
3
4
cup brown sugar. If Kristy wants to make
60 cookies, how much brown sugar will she need?
22. Bart and Devin work together to put a railing on a wrap-around
porch in
1
42
hr. Working alone, it would take Bart 12 hr more than
it would take Devin. How long would it take each of them to
complete the task, working alone?
23. Perry the Pronghorn runs 19 km/hr faster than Marco the Marathon
Man. In the same time that Perry runs 30 km, Marco runs
15.75 km. Find the speed of the pronghorn and the man.
__________________________________________________________
24. The square of a number is eight times the number’s reciprocal.
Find the number.
25. Simplify:
2322
22 2
2 9 35 5 30 2 17 30
3 22 7 12 13 3
tt t t t t
ttttt
−− + + +
⋅÷
−+ −+
.
Chapter Tests 289
CHAPTER 6 NAME
TEST FORM G CLASS_____SCORE_____GRADE
1. List all numbers for which
18
4x−
is undefined.
a)
4−
b) 0 c) 4 d)
18−
2. List all numbers for which
2
2
28
x
xx
−
−−
is undefined.
a)
2,−
2, 4 b)
2,−
4 c)
4,−
2 d)
4,−
2,−
2
3. Simplify:
2
2
656
443
xx
xx
+−
+−
.
a)
32
21
x
x
−
+
b)
32
23
x
x
−
+
c)
32
21
x
x
+
+
d)
32
21
x
x
−
−
4. Multiply and, if possible, simplify:
2
81 9
39
a
aa
−⋅+.
a)
()
39a
a
− b) 27 c)
9
27
a−
d)
2
2
81
3
a
a
−
5. Divide and, if possible, simplify:
2
2
100 49 11
12 36 6
xx
xx x
−−
÷
−+ −
.
a)
()
()
()
2
3
11 100 49
6
xx
x
−−
− b)
()()
()()
10 7 10 7
11 6
xx
xx
−+
−−
c)
()()
()()
11 6
10 7 10 7
xx
xx
−−
−+
d)
()()
()
3
10 7 10 7
6
xx
x
−+
−
6. Divide and, if possible, simplify:
()
()
2
2
2
9
69 3
x
xx x
−
−+÷−.
a)
()
()
3
3
3
x
x
+
−
b)
()
3
3
3
x
x
−
+
c)
()()
1
33xx+−
d)
()()
33xx+−
ANSWERS
1.
2.
3.
4.
5.
6.
290 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 6 NAME
TEST FORM G CLASS_____SCORE_____GRADE
ANSWERS
7.
8.
9.
10.
11.
7. Find the LCM of
22 2
4, 6, 5 6yyyyy−+−++.
a)
()()()
223yyy−++
b)
()()()
22
223yyy+−+
c)
()()()()
2233yyyy+−+−
d)
()()()()
3
2233yyyy+−−+
Add or subtract and, if possible, simplify.
8.
33
462xx
xx
++
+
a)
6
310x
x
+
b) 10
c)
3
310x
x
+
d)
2
3
21424xx
x
++
9.
34
3xx
+−
a)
()
7
3xx−
b)
79
23
x
x
−
−
c)
7
23x−
d)
()
79
3
x
xx
−
−
10.
63
22
xx
xx
−+
−
−−
a)
23
2
x
x
−
−
b)
9
2x−
c)
3
2x
−
−
d)
29
2
x
x
+
−
11.
22
15
4412
x
xxx
+
−
−−−
a)
()()()
11
226xxx
−
+−−
b)
()()()
4
226
x
xxx
−−
+−−
c)
()()()
2
416
622
xx
xxx
−+ −
−−+
d)
()()()
2
24
226
xx
xxx
−− +
+−−
Chapter Tests 291
CHAPTER 6 NAME
TEST FORM G CLASS_____SCORE_____GRADE
12. Perform the operations and, if possible, simplify:
22
37 9
2444xx xx
+−
−−−+
.
a)
()()
2
19
22xx−+
b)
()()
2
2
3168
22
xx
xx
+−
−+
c)
()()
2
2
3244
22
xx
xx
−−
−+
d)
()()
2
2
328
22
xx
xx
−−
−+
13. Simplify:
2
1
100
1
10
y
y
−
−
.
a)
10 1y+
b)
1
10 y
− c)
10 1y
y
+ d)
10 1y
y
−
14. Simplify:
4
4
11
4
x
x
x
−
−
.
a)
4x+
b)
4x−
c)
41x+
d)
4x−
15. Solve: 21 7
410yy
−=−.
a)
1
4
−
b)
5
2
−
c)
45
14
−
d)
2
5
−
16. Solve:
85 1
1xx
−=−
−
.
a) 2 b)
2,−
4 c)
4,−
2 d) 2, 4
ANSWERS
12.
13.
14.
15.
16.
292 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 6 NAME
TEST FORM G CLASS_____SCORE_____GRADE
ANSWERS
17.
18.
19.
20.
21.
17. Liz and Brie work together to prepare vegetable platters for a
charity dinner in
2
3
hr. Working alone, it would take Brie 1 hr more
than it would take Liz. How long would it take Liz to prepare the
platters working alone?
a) 2 hr b) 1 hr c)
1
12
hr d) 3 hr
18. Ashley makes trail mix for a hiking club outing. When she uses
1
22
cups of cashews, she includes
3
4
cups of raisins. If she
increases the amount of cashews to
1
64
cups, how many cups of
raisins should she use to keep the same proportions?
a)
1
17
cups b)
8
15
cup c)
1
12
cups d)
7
18
cups
19. A police cruiser on a highway chase passes Devin in his pickup
truck . The police officer drives 18 mph faster than Devin. In the
time that Devin drives 10 mi, the police officer drives 13 mi. What
is the speed of the police cruiser?
a) 73 mph b) 68 mph c) 78 mph d) 82 mph
__________________________________________________________
20. Francesca beat her opponent for student government president by a
5-to-3 ratio. If 480 votes were cast, how many votes did Francesca
receive?
a) 180 b) 300 c) 288 d) 320
21. Simplify:
3
53
53
5x
−
−
−
.
a)
95 66
22 15
x
x
−
−
b)
125 27
15 9
x
x
−
−
c)
35 27
9
x
x
+
d)
22 15
53
x
x
−
−
Chapter Tests 293
CHAPTER 6 NAME
TEST FORM H CLASS_____SCORE_____GRADE
1. List all numbers for which
3
4x−
is undefined.
a)
3−
b) 4 c)
4−
d) 0
2. List all numbers for which
2
5
6
x
xx
−
−−
is undefined.
a)
2,−
3 b)
3,−
2 c)
2,−
3, 5 d)
3,−
2, 5
3. Simplify:
2
2
61110
6525
xx
xx
−−
−− .
a)
2
5
b)
32
35
x
x
+
−
c)
32
35
x
x
+
+
d)
32
35
x
x
−
−
4. Multiply and, if possible, simplify:
2
49 42
18 7
aa
aa
−⋅−.
a)
()
77
3
a−−
b)
()()
2
2
77
756
aa
a
−− +
c)
()
77
3
a− d)
()
77
3
a−+
5. Divide and, if possible, simplify:
2
2
49 64 7 8
14 49 7
xx
xx x
−+
÷
−+ −
.
a)
78
7
x
x
−
+
b)
7
78
x
x
−
−
c)
78
7
x
x
−
−
d)
78
7
x
x
+
+
6. Divide and, if possible, simplify:
()
()
2
2
2
4
816 16
x
xx x
−
++ ÷ −
.
a)
4
4
x
x
−
+
b)
()
3
4
4
x
x
+
− c)
4
4
x
x
+
−
d)
()
2
4x+
ANSWERS
1.
2.
3.
4.
5.
6.
294 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 6 NAME
TEST FORM H CLASS_____SCORE_____GRADE
ANSWERS
7.
8.
9.
10.
11.
7. Find the LCM of
22 2
1, 6 5, 4 5yyyyy−++ +−
.
a)
( )()()
22
51 1yy y+− +
b)
()( )( )
3
155yyy++−
c)
()()( )
115yyy−++
d)
()()( )( )
115 5yyy y+−+−
Add or subtract and, if possible, simplify.
8.
22
32 4xx
xx
−+
+
a)
7
x
b)
4
7x
x
−
c)
2
2
2512xx
x
−−+
d)
2
7x
x
−
9.
83
1tt
++
a)
()
11 8
1
t
tt
+
+
b)
11
21t+
c)
()
11 3
1
t
tt
+
+
d)
()
11 1
1
t
tt
+
+
10.
13
22
x
xx
−−
−−
a)
()
2
2
x
x
−+
− b)
4
2
x
x
−
−
c)
4
2
x
x
−
−
d)
2−
11.
22
13
25 3 10
x
xxx
+
−
−+−
a)
()()()
2
313
552
xx
xxx
−+ +
+−−
b)
()()()
2
417
552
xx
xxx
−− −
+−−
c)
()()()
2
713
552
xx
xxx
−− −
+−+
d)
()()()
2
552
x
xxx
−−
+−+
Chapter Tests 295
CHAPTER 6 NAME
TEST FORM H CLASS_____SCORE_____GRADE
12. Perform the operations and, if possible, simplify:
22
25 3
2444xx xx
+−
+−++
.
a)
()
()()
2
2
242
22
xx
xx
+−
−+
b)
()
()()
2
21
22
xx
xx
+
−+
c)
()
()()
2
2
24
22
xx
xx
++
−+
d)
2
2x−
13. Simplify:
2
1
5
1
25
y
y
+
−
.
a) 51
y
y+ b)
11
5y− c)
51y
y
− d)
51
y
y−
14. Simplify:
6
6
31
2
x
x
x
−
−
.
a)
2x+
b)
6
3
x+
c)
6
3
x−
d)
6
2
x+
15. Solve: 467
58yy
−=.
a)
2
5
b)
16
5
c)
208
35
d)
5
16
16. Solve:
10 9 4
1xx
−=−
−
.
a)
4,−
5 b)
2,−
5
4
c) 1 d)
5,
4
−
2
ANSWERS
12.
13.
14.
15.
16.
296 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 6 NAME
TEST FORM H CLASS_____SCORE_____GRADE
ANSWERS
17.
18.
19.
20.
21.
17. Perry and Chris work together to give haircuts to the residents at a
nursing home in
2
25
hr. Working alone, it would take Chris 2 hr
more than it would take Perry. How long would it take Perry to give
haircuts to the residents, working alone?
a) 6 hr b) 4 hr c) 5 hr d)
4
45
hr
18. A naturalist at a state park studies the number of raccoons in a
section of the park. He catches, tags and releases 30 raccoons. A
month later, 16 raccoons are caught; 2 of them are tagged. Estimate
the raccoon population in that section of the park.
a) 480 b) 120 c) 150 d) 240
19. Hannah and Marisol are members of opposing collegiate rowing
teams. During a recent race, the crew on Hannah’s eight-person
boat averaged 2 strokes per minute faster than the crew on
Marisol’s boat. In the same time that Marisol’s crew rowed 1520
meters, Hannah’s crew rowed 1615 meters. What is the speed of
Hannah’s boat in strokes/min? Assume comparable strokes.
a) 30 strokes/min b) 32 strokes/min
c) 34 strokes/min d) 36 strokes/min
__________________________________________________________
20. Tai can clean the college biology lab in 8 hr. Ben can clean the lab
in 6 hr. If they work together, what percentage of the job does Tai
complete? Round to the nearest percent.
a) 43% b) 57% c) 50% d) 38%
21. Simplify:
2
42
42
4x
−
−
−
.
a)
74
21
x
x
−
−
b)
24 14
74
x
x
−
−
c)
8
2
x−
d)
3x
x
−
Chapter Tests 297
CHAPTER 7 NAME
TEST FORM A CLASS_____SCORE_____GRADE
1. For the following graph of f, determine (a)
2;f
(b) the domain
of f ; (c) any x value for which
fx
= 2; and (d) the range of f.
For each of the following graphs, (a) determine whether the graph
represents a function and (b) if so, determine the domain and the range
of the function.
2. 3.
4.
ANSWERS
1. a)
b)
c)
d)
2. a)
b)
3. a)
b)
4. a)
b)
298 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 7 NAME
TEST FORM A
ANSWERS
5.
6. a)
b)
7.
8. a)
b)
9.
10.
11.
5. The distance d, in miles, that Tai is from his parents’ house in
Denver is given by the function
600 75dt t
, where t is the
number of hours since he left his home. What is the domain of the
function?.
6. For the function given by
2
, for 0,
21,for0 3,
5, for 3
xx
fx x x
xx
°
dd
®
°!
¯
find (a)
0f
; (b)
4f
.
7. Libette paid $235 for her phone. Her monthly service fee is $65.
Formulate a linear function to model the cost
Ct
for t months of
service, and determine the amount of time required for the total cost
to reach $755.
8. If you rent a car for one day and drive it 200 mi, the cost is $80. If
you drive it 120 mi, the cost is $60. Let
Cm
represent the cost, in
dollars, of driving m miles.
a) Find a linear function that fits the data.
b) Use the function to find how much it will cost you to rent the
car for one day and drive it 400 mi
Classify each function as a linear function, a quadratic function, another
polynomial function, an absolute-value function, or a rational function.
Then find the domain of each function
9.
5
32
x
fx x
10.
3
25hx x
11.
31gx x
Chapter Tests 299
CHAPTER 7 NAME
TEST FORM A
Graph each function and determine its domain and range.
12.
13
2
fx x
13.
2
2fx x
14.
1fx
Find the following, given that
2
4
gx x
and
36hx x
.
15.
3h
16.
5ha
17.
ghx
18. The domain of g
19. The domain of g – h 20. The domain of g/h
21. Solve
,
mn
knt
for n.
ANSWERS
12. See graph.
13. See graph.
14. See graph.
15.
16.
17.
18.
19.
20.
21.
300 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 7 NAME
TEST FORM A
ANSWERS
22.
23.
24.
25. a)
b)
26.
22. If y varies directly as x and 11y when
4x
, find the equation of
variation.
23. The number of workers n needed to set up for homecoming varies
inversely as the amount of time t allowed for the set-up. If it takes
12 workers to do the job when there are 4 hours allowed, how many
workers are needed if there are only 3 hours allowed?
24. The surface area of a balloon varies directly as the square of its
radius. The area is 1256
2
cm
when the radius is 10 cm. What is
the area when the radius is 4 cm?
25. The function
40.1ft t
can be used to determine a marathon
runner’s location, in miles from the starting line, measured t
minutes after passing the 4-mi mark.
a) How far from the start will the runner be 45 minutes after
passing the 4-mi mark?
b) Assuming a constant rate, how fast is the runner traveling?
26. Given that
2
65fx x
and
58gx x
, find an expression
for
hx
so that the domain of
/
/fgh
is
89
is a real number and
54
x x and x x
½
zz
®¾
¯¿
.
Chapter Tests 301
CHAPTER 7 NAME
TEST FORM B CLASS_____SCORE_____GRADE
1. For the following graph of f, determine (a)
2;f
(b) the domain
of f ; (c) any x value for which
fx
= 1; and (d) the range of f.
For each of the following graphs, (a) determine whether the graph
represents a function and (b) if so, determine the domain and the range
of the function.
2. 3.
4.
ANSWERS
1. a)
b)
c)
d)
2. a)
b)
3. a)
b)
4. a)
b)
302 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 7 NAME
TEST FORM B
ANSWERS
5.
6. a)
b)
7.
8. a)
b)
9.
10.
11.
5. The distance d, in miles, that Benny is from his parents’ house in
Helena is given by the function
385 70dt t
, where t is the
number of hours since he left his home. What is the domain of the
function?
6. For the function given by
2
2, for 1,
,for 1 2,
32,for 2
xx
fx x x
xx
°
dd
®
°!
¯
find (a)
0f
; (b)
5f
.
7. Heather paid $160 for her phone. Her monthly service fee is $40.
Formulate a linear function to model the cost
Ct
for t months of
service, and determine the amount of time required for the total cost
to reach $560.
8. If you rent a car for one day and drive it 100 mi, the cost is $40. If
you drive it 300 mi, the cost is $80. Let
Cm
represent the cost,
in dollars, of driving m miles.
a) Find a linear function that fits the data.
b) Use the function to find how much it will cost you to rent the
car for one day and drive it 250 mi.
Classify each function as a linear function, a quadratic function, another
polynomial function, an absolute-value function, or a rational function.
Then find the domain of each function.
9.
2
31fx x
10.
45gx x
11.
3hx x
Chapter Tests 303
CHAPTER 7 NAME
TEST FORM B
Graph each function and determine its domain and range.
12.
2fx x
13.
2
12
4
fx x
14.
2fx
Find the following, given that
1
5
gx x
and
54hx x
.
15.
3h
16.
5ha
17.
ghx
18. The domain of g
19. The domain of g – h 20. The domain of g/h
21. Solve ,
st
ptj
for t.
ANSWERS
12. See graph.
13. See graph.
14. See graph.
15.
16.
17.
18.
19.
20.
21.
304 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 7 NAME
TEST FORM B
ANSWERS
22.
23.
24.
25. a)
b)
26.
22. If y varies directly as x and 5y when
2x
, find the equation of
variation.
23. The number of workers n needed to set up for a class reunion varies
inversely as the amount of time t allowed for the task. If it takes 6
workers to do the job when 4 hours are allowed for set-up, how
many workers are required when 6 hours are allowed?
24. The surface area of a balloon varies directly as the square of its
radius. The area is 1256
2
cm when the radius is 10 cm. What is
the area when the radius is 6 cm?
25. The function
20 0.09
ft t
can be used to determine a
marathon runner’s location, in miles from the starting line,
measured t minutes after passing the 20-mi mark.
a) How far from the start will the runner be 30 minutes after
passing the 20-mi mark?
b) Assuming a constant rate, how fast is the runner traveling?
26. Given that
2
87
fx x
and
37
gx x
, find an expression
for
hx
so that the domain of
/
/fgh is
76
is a real number and and
37
xx x x
½
zz
®¾
¯¿
.
Chapter Tests 305
CHAPTER 7 NAME
TEST FORM C CLASS_____SCORE_____GRADE
1. For the following graph of f, determine (a)
3;f
(b) the domain
of f ; (c) any x value for which
2;fx
and (d) the range of f.
For each of the following graphs, (a) determine whether the graph
represents a function and (b) if so, determine the domain and the range
of the function.
2. 3.
4.
ANSWERS
1. a)
b)
c)
d)
2. a)
b)
3. a)
b)
4. a)
b)
306 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 7 NAME
TEST FORM C
ANSWERS
5.
6. a)
b)
7.
8. a)
b)
9.
10.
11.
5. The distance d, in miles, that Teresa is from her parents’ house in
Tallahassee is given by the function
300 60dt t
, where t is the
number of hours since she left her home. What is the domain of the
function?
6. For the function given by
2
3,for 0,
2, for 0 3,
25,for 3
xx
fx x x
xx
°
dd
®
°!
¯
find (a)
1f
; (b)
2f
.
7. George paid $110 for his phone. His monthly service fee is $70.
Formulate a linear function to model the cost
Ct
for t months of
service, and determine the amount of time required for the total cost
to reach $670.
8. If you rent a car for one day and drive it 250 mi, the cost is $75. If
you drive it 600 mi, the cost is $145. Let
Cm
represent the cost,
in dollars, of driving m miles.\
a) Find a linear function that fits the data.
b) Use the function to find how much it will cost you to rent the
car for one day and drive it 400 mi.
Classify each function as a linear function, a quadratic function, another
polynomial function, an absolute-value function, or a rational function.
Then find the domain of each function.
9.
3
4
hx x
10.
5
gx x
11.
28
fx x
Chapter Tests 307
CHAPTER 7 NAME
TEST FORM C
Graph each function and determine its domain and range.
12.
13
2
fx x
13.
2
2
fx x
14.
4
fx
Find the following, given that
1
2
gx x
and
64
hx x
.
15.
3
h
16.
2
ha
17.
ghx
18. The domain of g
19. The domain of g – h 20. The domain of g/h
21. Solve
2,
c
acb
for c.
ANSWERS
12. See graph.
13. See graph.
14. See graph.
15.
16.
17.
18.
19.
20.
21.
308 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 7 NAME
TEST FORM C
ANSWERS
22.
23.
24.
25. a)
b)
26.
22. If y varies directly as x and 12y when
5x
, find the equation of
variation.
23. The number of workers n needed to set up for a craft fair varies
inversely as the amount of time t allowed for set-up. If it takes
8 workers when 3 hours are allowed for the job, how many workers
are needed when 4 hours are allowed for the set-up?
24. The surface area of a balloon varies directly as the square of its
radius. The area is 1256
2
cm
when the radius is 10 cm. What is
the area when the radius is 7 cm?
25. The function
15 0.1ft t
can be used to determine a marathon
runner’s location, in miles from the starting line, measured t
minutes after passing the 15-mi mark.
a) How far from the start will the runner be 60 minutes after
passing the 15-mi mark?
b) Assuming a constant rate, how fast is the runner traveling?
26. Given that
2
76fx x
and
47gx x
, find an expression
for
hx
so that the domain of
/
/fgh
is
77
is a real number and and
46
xx x x
½
zz
®¾
¯¿
.
Chapter Tests 309
CHAPTER 7 NAME
TEST FORM D CLASS_____SCORE_____GRADE
1. For the following graph of f, determine (a)
2;f
(b) the domain
of f ; (c) any x value for which
3;fx
and (d) the range of f.
For each of the following graphs, (a) determine whether the graph
represents a function and (b) if so, determine the domain and the range
of the function.
2. 3.
4.
ANSWERS
1. a)
b)
c)
d)
2. a)
b)
3. a)
b)
4. a)
b)
310 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 7 NAME
TEST FORM D
ANSWERS
6.
6. a)
b)
7.
8. a)
b)
9.
10.
11.
5. The distance d, in miles, that Riley is from her parents’ house in
Austin is given by the function
260 65dt t
, where t is the
number of hours since she left her home. What is the domain of the
function?
6. For the function given by
2
2
42,for 1,
5, for 1 3,
23,for 3
xx
fx x x
xx
°
d d
®
°!
¯
find (a)
0f
; (b)
4f
.
7. Denis paid $150 for his phone. His monthly service fee is $45.
Formulate a linear function to model the cost
Ct
for t months of
service, and determine the amount of time required for the total cost
to reach $420.
8. If you rent a car for one day and drive it 100 mi, the cost is $55. If
you drive it 220 mi, the cost is $85. Let
Cm
represent the cost,
in dollars, of driving m miles.
a) Find a linear function that fits the data.
b) Use the function to find how much it will cost you to rent the
car for one day and drive it 300 mi.
Classify each function as a linear function, a quadratic function, another
polynomial function, an absolute-value function, or a rational function.
Then find the domain of each function.
9.
3
41fx x
10.
13
2
gx x
11.
2
21hx x x
Chapter Tests 311
CHAPTER 7 NAME
TEST FORM D
Graph each function and determine its domain and range.
12.
23fx x
13.
2
3fx x
14.
2fx
Find the following, given that
3
4
gx x
and
25hx x
.
15.
3h
16.
4ha
17.
ghx
18. The domain of g
19. The domain of g – h 20. The domain of g/h
21. Solve 3,
y
xyz
for y.
ANSWERS
12. See graph.
13. See graph.
14. See graph.
15.
16.
17.
18.
19.
20.
21.
312 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 7 NAME
TEST FORM D
ANSWERS
22.
23.
24.
25. a)
b)
26.
22. If y varies directly as x and 26y when
8x
, find the equation of
variation.
23. The number of workers n needed to set up for a concert varies
inversely as the amount of time t allowed for set-up. If it takes
10 workers to do the job when 6 hours are allowed, how many
workers are needed if 4 hours are allowed?
24. The surface area of a balloon varies directly as the square of its
radius. The area is 1256
2
cm
when the radius is 10 cm. What is
the area when the radius is 5 cm?
25. The function
80.08ft t
can be used to determine a marathon
runner’s location, in miles from the starting line, measured t
minutes after passing the 8-mi mark.
a) How far from the start will the runner be 200 minutes after
passing the 8-mi mark?
b) Assuming a constant rate, how fast is the runner traveling?
26. Given that
2
43fx x
and
710gx x
, find an expression
for
hx
so that the domain of
/
/fgh
is
10
is a real number and and 1
7
xx x x
½
zz
®¾
¯¿
.
Chapter Tests 313
CHAPTER 7 NAME
TEST FORM E CLASS_____SCORE_____GRADE
1. For the following graph of f, determine (a)
2;f
(b) the domain
of f ; (c) any x value for which
3;fx
and (d) the range of f.
For each of the following graphs, (a) determine whether the graph
represents a function and (b) if so, determine the domain and the range
of the function.
2. 3.
4.
ANSWERS
1. a)
b)
c)
d)
2. a)
b)
3. a)
b)
4. a)
b)
314 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 7 NAME
TEST FORM E
ANSWERS
5.
6. a)
b)
7.
8. a)
b)
9.
10.
11.
5. The distance d, in miles, that Ken is from his parents’ house in
Omaha is given by the function
300 60dt t
, where t is the
number of hours since he left his home. What is the domain of the
function?
6. For the function given by
2
8, for 2,
6, for 2 5,
24,for 5
x
fx x x
xx
°
dd
®
°!
¯
find (a)
2f
; (b)
6f
.
7. Leeza paid $245 for her phone. Her monthly service fee is $60.
Formulate a linear function to model the cost
Ct
for t months of
service, and determine the amount of time required for the total cost
to reach $605.
8. If you rent a car for one day and drive it 120 mi, the cost is $82. If
you drive it 300 mi, the cost is $145. Let
Cm
represent the cost,
in dollars, of driving m miles.
a) Find a linear function that fits the data.
b) Use the function to find how much it will cost you to rent the
car for one day and drive it 500 mi.
Classify each function as a linear function, a quadratic function, another
polynomial function, an absolute-value function, or a rational function.
Then find the domain of each function.
9.
22gx x
10.
3
4
hx x
11.
3fx x
Chapter Tests 315
CHAPTER 7 NAME
TEST FORM E
Graph each function and determine its domain and range.
12.
2fx x
13.
2
4fx x
14.
1fx
Find the following, given that
4
9
gx x
and
35hx x
.
15.
3h
16.
2ha
17.
ghx
18. The domain of g
19. The domain of g – h 20. The domain of g/h
21. Solve
,
5
wx
zx
for x.
ANSWERS
12. See graph.
13. See graph.
14. See graph.
15.
16.
17.
18.
19.
20.
21.
316 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 7 NAME
TEST FORM E
ANSWERS
22.
23.
24.
25. a)
b)
26.
22. If y varies directly as x and 15y when
4x
, find the equation of
variation.
23. The number of workers n needed to set up for a conference varies
inversely as the amount of time t allowed for the set-up. If it takes
12 workers to set up when 3 hours are allowed, how many workers
are needed if 4 hours are allowed?
24. The surface area of a balloon varies directly as the square of its
radius. The area is 1256
2
cm
when the radius is 10 cm. What is
the area when the radius is 12 cm?
25. The function
50.09ft t
can be used to determine a marathon
runner’s location, in miles from the starting line, measured
t minutes after passing the 5-mi mark.
a) How far from the start will the runner be 90 minutes after
passing the 5-mi mark?
b) Assuming a constant rate, how fast is the runner traveling?
26. Given that
2
98fx x
and
26gx x
, find an expression
for
hx
so that the domain of
/
/fgh
is
5
is a real number and 3 and 8
xx x x
½
zz
®¾
¯¿
.
Chapter Tests 317
CHAPTER 7 NAME
TEST FORM F CLASS_____SCORE_____GRADE
1. For the following graph of f, determine (a)
2;f
(b) the domain
of f ; (c) any x value for which
2;fx
and (d) the range of f.
For each of the following graphs, (a) determine whether the graph
represents a function and (b) if so, determine the domain and the range
of the function.
2. 3.
4.
ANSWERS
1. a)
b)
c)
d)
2. a)
b)
3. a)
b)
4. a)
b)
318 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 7 NAME
TEST FORM F
ANSWERS
5.
6. a)
b)
7.
8. a)
b)
9.
10.
11.
5. The distance d, in miles, that Liam is from his parents’ house in
Boston is given by the function
220 55dt t
, where t is the
number of hours since he left his home. What is the domain of the
function?
6. For the function given by
2
3, for 2,
4, for 2 4,
6, for 4
xx
fx x x
x
°
dd
®
°!
¯
find (a)
2f
; (b)
5f
.
7. Una paid $175 for her phone. Her monthly service fee is $45.
Formulate a linear function to model the cost
Ct
for t months of
service, and determine the amount of time required for the total cost
to reach $490.
8. If you rent a car for one day and drive it 100 mi, the cost is $65. If
you drive it 200 mi, the cost is $105. Let
Cm
represent the cost,
in dollars, of driving m miles.
a) Find a linear function that fits the data.
b) Use the function to find how much it will cost you to rent the
car for one day and drive it 350 mi.
Classify each function as a linear function, a quadratic function, another
polynomial function, an absolute-value function, or a rational function.
Then find the domain of each function.
9.
4
1
gx x
10.
2
5hx x
11.
13
2
fx x
Chapter Tests 319
CHAPTER 7 NAME
TEST FORM F
Graph each function and determine its domain and range.
12.
23fx x
13.
2
13
4
fx x
14.
2fx
Find the following, given that
2
5
gx x
and
43hx x
.
15.
3h
16.
4ha
17.
ghx
18. The domain of g
19. The domain of g – h 20. The domain of g/h
21. Solve ,
4
np
mp
for p.
ANSWERS
12. See graph.
13. See graph.
14. See graph.
15.
16.
17.
18.
19.
20.
21.
320 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 4 NAME
TEST FORM F
ANSWERS
22.
23.
24.
25. a)
b)
26.
22. If y varies directly as x and 35y when
4x
, find the equation of
variation.
23. The number of workers n needed to set up for a rummage sale
varies inversely as the amount of time t allowed for the set-up. If it
takes 4 workers to set up if 10 hours are allowed, how many
workers are needed if 8 hours are allowed?
24. The surface area of a balloon varies directly as the square of its
radius. The area is 1256 cm
2
when the radius is 10 cm. What is
the area when the radius is 4 cm?
25. The function
60.09ft t
can be used to determine a marathon
runner’s location, in miles from the starting line, measured t
minutes after passing the 6-mi mark.
a) How far from the start will the runner be 120 minutes after
passing the 6-mi mark?
b) Assuming a constant rate, how fast is the runner traveling?
26. Given that
2
54fx x
and
69gx x
, find an expression
for
hx
so that the domain of
/
/fgh
is
31
is a real number and and
23
xx x x
½
zz
®¾
¯¿
.
Chapter Tests 321
CHAPTER 7 NAME
TEST FORM G CLASS_____SCORE_____GRADE
Use the following graph of f, for Exercises 13.
1. Determine the domain of f.
a)
^
`
43xxdd b)
^
`
34xxd d
c)
^
`
62xxdd d)
^
`
43xxdd
2. Determine the range of f.
a)
^
`
42yydd b)
^
`
41yyd d
c)
^
`
62yyd d d)
^
`
43yydd
3. Determine
4f
.
a)
1
b) 2
c) 1,3.5 d) Does not exist
ANSWERS
1.
2.
3.
322 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 7 NAME
TEST FORM G
ANSWERS
4.
5.
4. Which of the following is a graph of a function?
a)
b)
c)
d)
5. Which of the following is a graph of a function?
a)
b)
c)
d)
Chapter Tests 323
CHAPTER 7 NAME
TEST FORM G
6. The distance d, in miles, that Keegan is from his parents’ house in
Tucson is given by the function
400 60dt t
, where t is the
number of hours since he left his home. What is the domain of the
function?
a)
^
`
06ttdd b)
^
`
0 0.15ttdd
c)
2
06
3
tt
½
dd
®¾
¯¿
d)
\
For Exercises 7 and 8, use the function given by:
2
4, for 3,
25,for3 2,
5, for 2.
xx
fx x x
xx
°
dd
®
°!
¯
7. Find
2f
.
a) 20 b)
1
c) 0 d) 17
8. Find
4f
.
a) 20 b)
1
c) 0 d) 17
9. Paco paid $200 for his phone. His monthly service fee is $55.
Formulate a linear function to model the cost
Ct
for t months of
service and use it to determine the amount of time required for the
total cost to reach $1190.
a) 18 months b) 6 months c) 22 months d) 26 months
10. If you rent a car for one day and drive it 100 miles, the cost is $70.
If you drive it for 250 miles, the cost is $115. How much will it
cost you to rent the car for one day and drive it 350 mi?
a) $185 b) $161 c) $145 d) $245
11. Which equation is NOT linear?
a) 3437yx x b) 43xy
c)
3
25xy d)
8x
ANSWERS
6.
7.
8.
9.
10.
11.
324 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 7 NAME
TEST FORM G
ANSWERS
12.
13.
12. Identify the type of function:
23
x
gx x
.
a) quadratic function b) rational function
c) linear function d) absolute-value function
13. Which graph represents
22
3
fx x
?
a) b)
c) d)
Chapter Tests 325
CHAPTER 7 NAME
TEST FORM G
14. Which graph represents
2
2
gx x
?
a) b)
c) d)
For Exercises 15–17, use
1
4
gx x
and
2
9
hx x
.
15. Find
2
gh
.
a)
5
2
b)
11
2
c)
15
2
d)
1
2
16. Find the domain of h.
a)
\
b)
^`
| is a real number 4
x x and x
z
c)
^`
| is a real number 3 3
x x and x and x
z z
d)
^`
| is a real number 0
x x and x
z
17. Find the domain of g/h.
a)
\
b)
^`
| is a real number 4
x x and x
z
c)
^`
| is a real number 3 3
x x and x and x
z z
d)
^`
| is a real number 3 3 4
x x and x and x and x
z z z
ANSWERS
14.
15.
16.
17.
326 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 7 NAME
TEST FORM G
ANSWERS
18.
19.
20.
21.
22.
18. Solve
bc
abc
for b.
a)
ac
bac
b)
c
bca
c)
ac
bca
d)
ab ac
bc
19. It takes 40 min for 3 volunteers to set up two conference rooms.
How long would it take 5 volunteers working at the same rate to set
up the same number of conference rooms?
a) 25 min b) 24 min c) 20 min d)
2
3
min
20. The cost per person for a bus trip varies inversely as the number of
people riding the bus. If the cost per person is $45 when 50 people
ride, what is the cost per person when 60 people ride?
a) $54 b) $35 c) $37.50 d) $42.50
21. The function
12 0.08
ft t
can be used to determine a
marathon runner’s location, in miles from the starting line,
measured t minutes after passing the 12-mi mark. Determine how
far from the start the runner will be 90 minutes after passing the
12-mi mark and, assuming a constant rate, how fast the runner is
traveling.
a) 19.2 mi; 0.08 mi/min b) 7.2 mi; 12 mi/hr
c) 7.2 mi; 0.08 mi/min d) 19.2 mi; 12.5 mi/hr
22. Given that
2
32
fx x
and
811
gx x
, find an expression
for
hx
so that the domain of
/
/
fgh
is
11
is a real number 3
8
x x and x and x
½
zz
®¾
¯¿
.
a)
3hx x
b)
33hx x
c)
3hx x
d)
33hx x
Chapter Tests 327
CHAPTER 7 NAME
TEST FORM H CLASS_____SCORE_____GRADE
Use the following graph of f, for Exercises 13.
1. Determine the domain of f.
a)
^
`
23xxdd b)
^
`
35xxdd
c)
^
`
24xxdd d)
^
`
43xxdd
2. Determine the range of f.
a)
^
`
15yydd b)
^
`
41yydd
c)
^
`
24yydd d)
^
`
45yydd
3. Determine
2f
.
a) 3.4 b) 2
c) 1 d) Does not exist
ANSWERS
1.
2.
3.
328 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 7 NAME
TEST FORM H
ANSWERS
4.
5.
4. Which of the following is a graph of a function?
a) b)
c)
d)
5. Which of the following is a graph of a function?
a) b)
c) d)
Chapter Tests 329
CHAPTER 7 NAME
TEST FORM H
6. The distance d, in miles, that Joanne is from her parents’ house in
Spokane is given by the function
300 60dt t
, where t is the
number of hours since she left her home. What is the domain of the
function?
a)
^
`
0 0.2ttdd b)
^
`
0 300ttdd
c)
^
`
05ttdd d)
\
For Exercises 7 and 8, use the function given by:
2
,for 2,
3, for 2 3,
24,for 3.
xx
fx x x
xx
°
dd
®
°!
¯
7. Find
2f
.
a) 2 b)
1
c) 0 d) 7
8. Find
5f
.
a) 29 b) 14 c) 28 d)
5
9. Tami paid $180 for her phone. Her monthly service fee is $65.
Formulate a linear function to model the cost
Ct
for t months of
service and use it to determine the amount of time required for the
total cost to reach $765.
a) 9 months b) 15 months c) 12 months d) 4 months
10. If you rent a car for one day and drive it 100 miles, the cost is $55.
If you drive it for 220 miles, the cost is $85. How much will it cost
you to rent the car for one day and drive it 320 mi?
a) $140 b) $124 c) $110 d) $176
11. Which equation is NOT linear?
a) 25xy b) 3428yx x
c)
3
42xy d) 2y
ANSWERS
6.
7.
8.
9.
10.
11.
330 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 7 NAME
TEST FORM H
ANSWERS
12.
13.
12. Identify the type of function:
2
5
hx x
.
a) quadratic function b) rational function
c) linear function d) absolute-value function
13. Which graph represents
2
fx
?
a) b)
c) d)
Chapter Tests 331
CHAPTER 7 NAME
TEST FORM H
14. Which graph represents
2
3
gx x
?
a) b)
c) d)
For Exercises 15–17, use
1
3
gx x
and
2
4hx x
.
15. Find
4gh
.
a)
21
b) 11 c)
12
d)
13
16. Find the domain of h.
a)
\
b)
^`
| is a real number 3x x and x z
c)
^`
| is a real number 2 2x x and x and xz z
d)
^`
| is a real number 0x x and x z
17. Find the domain of g/h.
a)
\
b)
^`
| is a real number 3 2 2x x and x and x and xz z z
c)
^`
| is a real number 2 2x x and x and xz z
d)
^`
| is a real number 3x x and x z
ANSWERS
14.
15.
16.
17.
332 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 7 NAME
TEST FORM H
ANSWERS
18.
19.
20.
21.
22.
18. Solve xy
myx
for x.
a) my
xym
b) ym
xym
c) ym
xym
d) 1y
xmy
19. If y varies directly as x and
3y
when
15x
, find the equation of
variation.
a)
45yx
b
45
yx
c) 5yx d)
5
x
y
20. The cost per person for a bus trip varies inversely as the number of
people riding the bus. If the cost per person is $65 when 48 people
ride, what is the cost per person when 60 people ride?
a) $52 b) $44.31 c) $53 d) $81.25
21. The function
15 0.09ft t
can be used to determine a marathon
runner’s location, in miles from the starting line, measured t
minutes after passing the 15-mi mark. Determine how far from the
start the runner will be 60 minutes after passing the 15-mi mark
and, assuming a constant rate, how fast the runner is traveling.
a) 20.4 mi; 11.1 mi/hr b) 20.4 mi; 0.09 mi/min
c) 5.4 mi; 0.09 mi/min d) 20.4 mi; 15 mi/hr
22. Given that
2
21fx x
and
912gx x
, find an expression
for
hx
so that the domain of
/
/fgh
is
44
is a real number
39
x x and x and x
½
zz
®¾
¯¿
.
a)
94hx x
b)
49hx x
c)
3hx x
d)
94hx x
Chapter Tests 333
CHAPTER 8 NAME
TEST FORM A CLASS SCORE GRADE
______________________________________________________________________________
For Exercises 1–6, if a system has an infinite number of solutions, use
set-builder notation to write the solution set. If a system has no
solution, state this.
1. Solve graphically:
33,
1.
xy
yx
2. Solve using the substitution method:
316,
25.
xy
xy
Solve using the elimination method.
3.
24 32,
45 25
xy
xy
4.
48,
82 5
xy
xy
Solve using any appropriate method.
5.
758,
2
xy
yx
6.
428,
24
xy
yx
7. The perimeter of a rectangle is 84. The length of the rectangle is
two less than three times the width. Find its dimension.
8. Between his home mortgage and home equity loan, Lyle is
$117,000 in debt. Each month, his home equity loan accumulates
0.5% interest and his mortgage 0.4% interest. After one month, his
total accumulated interest is $480. Find the amount of each of
these debts.
Solve. If the system’s equations are dependent or if there is no
solution, state this.
9.
23 3,
322,
231
xyz
xy z
xyz
10.
2723,
52711,
2521
xyz
xyz
xyz
11.
45 3,
24,
73 5
xyz
xyz
yz
12.
45 4,
54 4,
54 9
xy
yz
xz
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
334 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 8 NAME
TEST FORM A CLASS SCORE GRADE
______________________________________________________________________________
ANSWERS
13.
14.
15.
16.
17.
18.
19.
20. a)
b)
c)
d)
e)
21.
22.
Solve using matrices.
13.
76 32,
822
xy
xy
14.
34229,
34211,
342 3
xyz
xyz
xyz
Evaluate.
15.
28
44
16.
425
131
023
17. Solve using Cramer’s rule:
37 8,
5 2 14.
xy
xy
18. An electrician, a carpenter, and a plumber are hired to work on a
house. The electrician earns $20 per hour, the carpenter $25 per
hour, and the plumber $30 per hour. On the first day on the job,
the three worked a total of 21.5 hours and earned a total of
$532.50. If the carpenter worked 1.5 more hours than the
electrician did, then how many hours did the plumber work?
19. Find the equilibrium point for the demand and supply functions
108 11Dp p
and
70 8Sp p
.
20. Home Creations Inc. produces outdoor garden swings. For the first
year, the fixed set-up costs are $77,000. The variable costs for
producing each swing are $140. The revenue from each swing is
$250. Find the following.
a) The total cost
Cx
of producing x swings
b) The total revenue
R
x
from the sale of x swings
c) The total profit
Px
from the production and sale of x swings
d) The profit or loss from production and sale of 500 swings; of
850 swings
e) The break-even point
21. The graph of the function
fx mx b
contains the points
5, 1
and
10, 11
. Find m and b.
22. A caterer has 6 cups of individually wrapped dark chocolate
candies. How many cups of individually wrapped milk chocolate
candies must he add to the dark chocolate candies to create a candy
mix that is 20% dark chocolate candies?
Chapter Tests 335
CHAPTER 8 NAME
TEST FORM B CLASS SCORE GRADE
______________________________________________________________________________
For Exercises 1–6, if a system has an infinite number of solutions, use
set-builder notation to write the solution set. If a system has no
solution, state this.
1. Solve graphically:
25,
20.
xy
yx
2. Solve using the substitution method.
34 5,
3 12.
xy
xy
Solve using the elimination method.
3.
23 4,
629
xy
xy
4.
458,
810 16
xy
xy
Solve using any appropriate method.
5.
2413,
5
xy
yx
6.
23 18,
46 36
xy
xy
7. The perimeter of a rectangle is 24. The length of the rectangle is
eight less than three times the width. Find the dimensions of the
rectangle.
8. Joanne’s airboat took 1 1/3 hours to make a trip downstream on a
river flowing 4 mph. The return trip against the same current took
2 hours. Find the speed of the boat in still water.
Solve. If the system’s equations are dependent or if there is no
solution, state this.
9.
32310,
232 6,
3223
xyz
xyz
xyz
10.
310,
3230,
310
xyz
xyz
xyz
11.
346,
2310,
510158
xyz
xy z
xyz
12.
213,
22,
27
yz
xz
xy
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
336 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 8 NAME
TEST FORM B CLASS SCORE GRADE
______________________________________________________________________________
ANSWERS
13.
14.
15.
16.
17.
18.
19.
20. a)
b)
c)
d)
e)
21.
22.
Solve using matrices.
13.
54 3,
86 20
xy
xy
14.
235 3,
235 3,
235 7
xyz
xyz
xyz
Evaluate.
15.
69
52
16.
305
242
153
17. Solve using Cramer’s rule:
37 40,
5 2 12.
xy
xy
18. An electrician, a carpenter, and a plumber are hired to work on a
house. The electrician earns $25 per hour, the carpenter $27 per
hour, and the plumber $33 per hour. On the first day on the job,
the three worked a total of 21.5 hours and earned a total of
$602.50. If the carpenter worked 2.5 more hours than the plumber
did, then how many hours did the electrician work?
19. Find the equilibrium point for the demand and supply functions
76 7Dp p
and
54 4Sp p
.
20. Home Creations Inc. produces cedar lawn chairs. For the first year,
the fixed set-up costs are $50,000. The variable costs for
producing each chair are $50. The revenue from each chair is $75.
Find the following.
a) The total cost
Cx
of producing x chairs
b) The total revenue
R
x
from the sale of x chairs
c) The total profit
Px
from the production and sale of x chairs
d) The profit or loss from production and sale of 750 chairs; of
5000 chairs
e) The break-even point
21. The graph of the function
fx mx b
contains the points
15, 5
and
3, 7
. Find m and b.
22. A caterer has 8 cups of red candies. How many cups of white
candies must she add to the red candies to create a candy mix that
is 30% red candies?
Chapter Tests 337
CHAPTER 8 NAME
TEST FORM C CLASS SCORE GRADE
______________________________________________________________________________
For Exercises 1–6, if a system has an infinite number of solutions, use
set-builder notation to write the solution set. If a system has no
solution, state this.
1. Solve graphically:
32 3,
21.
xy
xy
2. Solve using the substitution method:
816,
2 7 10.
xy
xy
Solve, if possible, using the elimination method.
3.
327,
23 9
xy
xy
4.
26 8,
34
xy
xy
Solve using any appropriate method.
5.
23 6,
43
xy
yx
6.
48,
12 3 24
xy
yx
7. The perimeter of a rectangle is 54. The length of the rectangle is
three more than three times the width. Find the dimensions of the
rectangle.
8. Between his car loan and credit card bill, Chas is $3650 in debt.
Each month, his credit card accumulates 1.6% interest and his car
loan 1% interest. After one month, his total accumulated interest is
$41.60. Find the amount of each of these debts.
Solve. If the system’s equations are dependent or if there is no
solution, state this.
9.
22 6,
212,
222
xyz
xyz
xyz
10.
84218,
42 7,
28 1
xyz
xyz
xyz
11.
56 14,
24 10,
26
xyz
xyz
xyz
12.
4311,
342,
432
xy
xz
yz
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
338 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 8 NAME
TEST FORM C CLASS SCORE GRADE
______________________________________________________________________________
ANSWERS
13.
14.
15.
16.
17.
18.
19.
20. a)
b)
c)
d)
e)
21.
22.
Solve using matrices.
13.
87 10,
29 24
xy
xy
14.
24624,
24648,
329
xyz
xyz
xy z
Evaluate.
15.
69
52
16.
215
324
013
17. Solve using Cramer’s rule:
37 50,
5 2 15.
xy
xy
18. An electrician, a carpenter, and a plumber are hired to work on a
house. The electrician earns $25 per hour, the carpenter $27 per
hour, and the plumber $33 per hour. On the first day on the job,
the three worked a total of 23.75 hours and earned a total of
$689.25. If the plumber worked 4 more hours than the electrician
did, then how many hours did the carpenter work?
19. Find the equilibrium point for the demand and supply functions
164 12Dp p
and
80 9Sp p
.
20. Home Creations Inc. produces outdoor statuary. For the first year,
the fixed set-up costs are $45,000. The variable costs for
producing each statue are $40. The revenue from each statue is
$55. Find the following.
a) The total cost
Cx
of producing x statues
b) The total revenue
R
x
from the sale of x statues
c) The total profit
Px
from the production and sale of x statues
d) The profit or loss from production and sale of 800 statues; of
4500 statues
e) The break-even point
21. The graph of the function
fx mx b
contains the points
3, 14
and
1, 2
. Find m and b.
22. A caterer has 15 cups of corn chips. How many cups of pretzels
must he add to the corn chips to create a snack mix that is
60% corn chips?
Chapter Tests 339
CHAPTER 8 NAME
TEST FORM D CLASS SCORE GRADE
______________________________________________________________________________
For Exercises 1–6, if a system has an infinite number of solutions, use
set-builder notation to write the solution set. If a system has no
solution, state this.
1. Solve graphically:
24 2,
4.
xy
yx
2. Solve using the substitution method:
52 8,
32 4.
xy
xy
Solve using the elimination method.
3.
45 34,
310 53
xy
xy
4.
65 12,
18 15 36
xy
xy
Solve using any appropriate method.
5.
25,
32
xy
yx
6.
4,
4
xy
yx
7. Josh’s airboat took 1 hour to make a trip across a frozen lake with
a 20 mph tailwind. The return trip against the same wind took 3
hours. Find the speed of the airboat with no wind.
8. Between her car loan and credit card bill, Reem is $13,500 in debt.
Each month, her credit card accumulates 1.8% interest and her car
loan 0.9% interest. After one month, her total accumulated interest
is $144. Find the amount of each of these debts.
Solve. If the system’s equations are dependent or if there is no
solution, state this.
9.
32,
33 26,
316
xy z
xyz
xyz
10.
357 49,
7359,
57325
xyz
xyz
xyz
11.
43 15,
238,
2447
xyz
xy z
x
yz
12.
542,
45 28,
451
xz
xy
yz
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
340 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 8 NAME
TEST FORM D CLASS SCORE GRADE
______________________________________________________________________________
ANSWERS
13.
14.
15.
16.
17.
18.
19.
20. a)
b)
c)
d)
e)
21.
22.
Solve using matrices.
13.
511,
34 0
xy
xy
14.
3517,
3515,
3535
xyz
xyz
xyz
Evaluate.
15.
24
48
16.
08 4
13 5
26 3
17. Solve using Cramer’s rule:
43 7,
62 4.
xy
xy
18. An electrician, a carpenter, and a plumber are hired to work on a
house. The electrician earns $25 per hour, the carpenter $27 per
hour, and the plumber $33 per hour. On the first day on the job,
the three worked a total of 23.75 hours and earned a total of
$689.25. If the plumber worked 2.25 more hours than the
carpenter did, then how many hours did the electrician work?
19. Find the equilibrium point for the demand and supply functions
133 10Dp p
and
65 7Sp p
.
20. Home Creations Inc. produces garden arbors. For the first year, the
fixed set-up costs are $20,000. The variable costs for producing
each arbor are $22. The revenue from each arbor is $54. Find the
following.
a) The total cost
Cx
of producing x arbors
b) The total revenue
R
x
from the sale of x arbors
c) The total profit
Px
from the production and sale of x arbors
d) The profit or loss from production and sale of 500 arbors; of
900 arbors
e) The break-even point
21. The graph of the function
fx mx b
contains the points
2, 3
and
3, 8
. Find m and b.
22. A caterer has 12 cups of pretzels. How many cups of cheese curls
must she add to the pretzels if she wants to create a snack mix that
is 20% pretzels?
Chapter Tests 341
CHAPTER 8 NAME
TEST FORM E CLASS SCORE GRADE
______________________________________________________________________________
For Exercises 1–6, if a system has an infinite number of solutions, use
set-builder notation to write the solution set. If a system has no
solution, state this.
1. Solve graphically:
34 1,
28.
xy
xy
2. Solve using the substitution method:
310,
33 5.
xy
xy
Solve using the elimination method.
3.
32 35,
24 34
xy
xy
4.
84 12,
42 6
xy
xy
Solve using any appropriate method.
5.
34 10,
25
xy
yx
6.
42 5,
25
xy
xy
7. The perimeter of a rectangle is 94. The length of the rectangle is
three less than four times the width. Find the dimensions of the
rectangle.
8. Between her home mortgage and car loan, Jordanne is $48,000 in
debt. Each month, her car loan accumulates 0.8% interest and her
mortgage 0.5% interest. After one month, her total accumulated
interest is $264. Find the amount of each of these debts.
Solve. If the system’s equations are dependent or if there is no
solution, state this.
9.
32 14,
2321,
347
xyz
xy z
xyz
10.
52 1,
52 2,
253
xyz
xyz
xy z
11.
639,
4473,
23412
xy z
xyz
xyz
12.
2312,
32 9,
23 4
yz
xy
xz
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
342 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 8 NAME
TEST FORM E CLASS SCORE GRADE
______________________________________________________________________________
ANSWERS
13.
14.
15.
16.
17.
18.
19.
20. a)
b)
c)
d)
e)
21.
22.
Solve using matrices.
13.
23 6,
541
xy
xy
14.
329,
325,
329
xy z
xy z
xy z
Evaluate.
15.
53
24
16.
165
243
051
17. Solve using Cramer’s rule:
43 14,
62 8.
xy
xy
18. An electrician, a carpenter, and a plumber are hired to work on a
house. The electrician earns $20 per hour, the carpenter $25 per
hour, and the plumber $30 per hour. On the first day on the job,
the three worked a total of 19.5 hours and earned a total of
$472.50. If the electrician worked 1.5 more hours than the
carpenter did, then how many hours did the plumber work?
19. Find the equilibrium point for the demand and supply functions
87 8Dp p
and
48 5Sp p
.
20. Home Creations Inc. produces garden benches. For the first year,
the fixed set-up costs are $42,000. The variable costs for
producing each bench are $80. The revenue from each bench is
$120. Find the following.
a) The total cost
Cx
of producing x benches
b) The total revenue
R
x
from the sale of x benches
c) The total profit
Px
from the production and sale of x benches
d) The profit or loss from production and sale of 1500 benches; of
800 benches
e) The break-even point
21. The graph of the function
fx mx b
contains the points
6, 7
and
6, 5
. Find m and b.
22. A caterer has 5 lb of peanuts. How many pounds of almonds must
he add to the peanuts if he wants to create a nut mix that is 60%
almonds?
Chapter Tests 343
CHAPTER 8 NAME
TEST FORM F CLASS SCORE GRADE
______________________________________________________________________________
For Exercises 1–6, if a system has an infinite number of solutions, use
set-builder notation to write the solution set. If a system has no
solution, state this.
1. Solve graphically:
32,
6.
xy
xy
2. Solve using the substitution method:
25 6,
3 5 13.
xy
xy
Solve using the elimination method.
3.
622,
32 34
xy
xy
4.
36,
6210
xy
xy
Solve using any appropriate method.
5.
42 7,
41
xy
yx
6.
36 18,
26
xy
xy
7. The perimeter of a rectangle is 88. The length of the rectangle is
two more than twice the width. Find the dimensions of the
rectangle.
8. Toni paddled a canoe 3 hours downstream on a river flowing at
2 km/hr. The return trip against the same current took 7 hours. Find
the speed of the canoe in still water.
Solve. If the system’s equations are dependent or if there is no
solution, then state this.
9.
4330,
42 30,
34210
xyz
xyz
xyz
10.
65443,
32 16,
238
xyz
xyz
xyz
11.
45 12,
243 1,
694 13
xyz
xyz
xyz
12.
3432,
3333,
44 40
xz
yz
xy
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
344 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 8 NAME
TEST FORM F CLASS SCORE GRADE
______________________________________________________________________________
ANSWERS
13.
14.
15.
16.
17.
18.
19.
20. a)
b)
c)
d)
e)
21.
22.
Solve using matrices.
13.
6517,
9711
xy
xy
14.
2,
2220,
333 12
xyz
xyz
xyz
Evaluate.
15.
53
24
16.
123
451
204
17. Solve using Cramer’s rule:
3 7 12,
5 2 21.
xy
xy
18. An electrician, a carpenter, and a plumber are hired to work on a
house. The electrician earns $20 per hour, the carpenter $25 per
hour, and the plumber $30 per hour. On the first day on the job,
the three worked a total of 23.25 hours and earned a total of
$571.25. If the plumber worked 2.75 more hours than the
carpenter did, then how many hours did the carpenter work?
19. Find the equilibrium point for the demand and supply functions
98 9Dp p
and
53 6Sp p
.
20. Home Creations Inc. produces bird baths. For the first year, the
fixed set-up costs are $18,000. The variable costs for producing
each bird bath are $36. The revenue from each bird bath is $45.
Find the following.
a) The total cost
Cx
of producing x bird baths
b) The total revenue
R
x
from the sale of x bird baths
c) The total profit
Px
from the production and sale of x bird
baths
d) The profit or loss from production and sale of 1200 bird baths;
of 2400 bird baths
e) The break-even point
21. The graph of the function
fx mx b
contains the points
5, 7
and
2, 2
. Find m and b.
22. A caterer has 2 lb of peanuts. How many pounds of cashews must
she add to the peanuts if she wants to create a nut mix which is
70% cashews?
Chapter Tests 345
CHAPTER 8 NAME
TEST FORM G CLASS SCORE GRADE
______________________________________________________________________________
1. Solve using the substitution method.
210,
3511
xy
xy
What is the x-coordinate?
a)
61
13
b) –3 c) 3 d) –4
2. Solve using the substitution method.
35 15,
8
xy
yx
What is the y-coordinate?
a) 9 b) –5 c)
2
9
d)
9
2
3. Solve using the elimination method.
29 37,
311
xy
xy
What is the y-coordinate?
a) 1 b) –1 c) 14 d) No solution
4. Solve using the elimination method.
6336,
437
yx
xy
What is the x-coordinate?
a) –2 b)
43
10
c)
17
5
d) 5
5. The perimeter of a rectangle is 44. The length of the rectangle is
five less than twice the width. Find the width of the rectangle.
a) 13 b) 8.5 c) 9 d) 13.5
ANSWERS
1.
2.
3.
4.
5.
346 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 8 NAME
TEST FORM G CLASS SCORE GRADE
______________________________________________________________________________
6. Between his home mortgage and car loan, Gene is $57,000 in debt.
Each month, his car loan accumulates 1% interest and his mortgage
0.4% interest. After one month, his total accumulated interest is
$318. How much does he owe on his mortgage?
a) $15,000 b) $51,300 c) $57,525 d) $42,000
7. Solve.
22,
221,
26
xyz
xy z
xyz
What is the x-coordinate?
a) 1 b) 4 c) 2 d) –2
8. Solve.
264 30,
642 32,
426 34
xyz
xyz
xyz
What is the y-coordinate?
a) 10 b) 6 c) –2 d) –10
9. Solve.
31,
32 5,
5411
xy
xz
xy z
What is the x-coordinate?
a) –2 b)
1
2
c)
13
11
d) 1
ANSWERS
6.
7.
8.
9.
Chapter Tests 347
CHAPTER 8 NAME
TEST FORM G CLASS SCORE GRADE
______________________________________________________________________________
10. Solve using matrices.
25 15,
69
xy
xy
What is the y-coordinate?
a)
3
17
b)
3
7
c)
33
17
d)
45
7
11. Solve using matrices.
2420,
452,
2520
xyz
xy z
xyz
What is the z-coordinate?
a) 2 b) 0 c)
2
35
d) –2
12. Evaluate.
34
92
a) –42 b) 26 c) 30 d) 5
13. Evaluate.
635
124
821
a) 127 b) 153 c) 243 d) 109
14. Solve using Cramer’s rule.
43 3,
62 24
xy
xy
What is the x-coordinate?
a) –1 b) –2 c) 3 d) 6
ANSWERS
10.
11.
12.
13.
14.
348 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 8 NAME
TEST FORM G CLASS SCORE GRADE
______________________________________________________________________________
ANSWERS
15.
16.
17.
18.
19.
15. An electrician, a carpenter, and a plumber are hired to work on a
house. The electrician earns $20 per hour, the carpenter $25 per
hour, and the plumber $30 per hour. On the first day on the job,
the three worked a total of 21.5 hours and earned a total of
$532.50. If the carpenter worked 2.5 more hours than the plumber
did, then how many hours did the electrician work?
a) 7.25 b) 5.5 c) 7 d) 6
16. Find the equilibrium point for the demand and supply functions
120 14
Dp p
and
40 6
Sp p
.
a)
$10,20
b)
$8,88
c)
$4,64
d)
$8,8
17. Home Creations Inc. produces outdoor tables. For the first year,
the fixed set-up costs are $30,000. The variable costs for
producing each table are $90. The revenue from each table is
$120. Find the profit or loss from the production and sale of
750 tables.
a) $37,500 loss b) $7500 loss
c) $52,500 profit d) $60,000 profit
18. The graph of the function
fx mx b
contains the points
5, 8
and
14, 6
. Find
b
.
a)
2
9
b)
142
9
c)
82
13
d)
82
9
19. A caterer has 8 cups of corn chips. How many cups of pretzels
should she add to the corn chips to make a snack mix that is 40%
corn chips?
a) 12 cups b) 20 cups c)
1
53
cups d)
4
45
cups
Chapter Tests 349
CHAPTER 8 NAME
TEST FORM H CLASS SCORE GRADE
______________________________________________________________________________
1. Solve using the substitution method.
411,
23 13
xy
xy
What is the x-coordinate?
a)
10
7
b) –3 c) –1 d) 2
2. Solve using the substitution method.
4312,
31
xy
yx
What is the y-coordinate?
a) 12 b)
58
13
c)
32
13
d)
32
13
3. Solve using the elimination method.
314,
24 22
xy
xy
What is the y-coordinate?
a) 0 b) –3 c) 3 d) No solution
4. Solve, if possible, using the elimination method.
45 2,
28 7
yx
xy
What is the x-coordinate?
a)
1
4
b)
11
12
c) 4 d)
13
16
5. The perimeter of a rectangle is 16. The length of the rectangle is
one less than twice the width. Find the width of the rectangle.
a) 5 b)
2
53
c) 7 d) 3
ANSWERS
1.
2.
3.
4.
5.
350 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 8 NAME
TEST FORM H CLASS SCORE GRADE
______________________________________________________________________________
6. Ken’s motorboat took 2 hours to make a trip downstream on a river
flowing at 5 km/h. The return trip against the same current took 2.5
hours. Find the speed of the boat in still water.
a) 5 km/h b) 45 km/h c) 22.5 km/h d) 50 km/h
7. Solve.
35219,
523 8,
2357
xyz
xyz
xyz
What is the y-coordinate?
a)
2
5
b) 1 c) 3 d) –2
8. Solve.
545,
552 50,
2225
xyz
xyz
xy z
What is the y-coordinate?
a) 25 b) 5 c) 10 d) 15
9. Solve.
23,
8310,
323 1
xy
xz
xyz
What is the x-coordinate?
a) –1 b) 2 c)
2
3
d)
11
19
ANSWERS
6.
7.
8.
9.
Chapter Tests 351
CHAPTER 8 NAME
TEST FORM H CLASS SCORE GRADE
______________________________________________________________________________
10. Solve using matrices.
45 12,
32 2
xy
xy
What is the y-coordinate?
a) –4 b) 2 c) 4 d)
44
7
11. Solve using matrices.
213,
342 28,
317
xyz
xyz
xyz
What is the z-coordinate?
a) –3 b) –1 c) –4 d) –2
12. Evaluate.
86
42
a) –40 b) 8 c) 40 d) –12
13. Evaluate.
512
043
610
a) 81 b) –15 c) 51 d) 45
14. Solve using Cramer’s rule.
43 4,
62 32
xy
xy
What is the x-coordinate?
a) 3 b) 6 c) –2 d) –4
ANSWERS
10.
11.
12.
13.
14.
352 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 8 NAME
TEST FORM H CLASS SCORE GRADE
______________________________________________________________________________
ANSWERS
15.
16.
17.
18.
19.
15. An electrician, a carpenter, and a plumber are hired to work on a
house. The electrician earns $20 per hour, the carpenter $25 per
hour, and the plumber $30 per hour. On the first day on the job,
the three worked a total of 23.25 hours and earned a total of
$571.25. If the electrician worked 4.75 more hours than the
carpenter did, then how many hours did the plumber work?
a) 6 b) 7.25 c) 8 d) 5.75
16. Find the equilibrium point for the demand and supply functions
90 4Dp p
and
27 5Sp p
.
a)
$63,342
b)
$7,62
c)
$13,38
d)
$13,92
17. Home Creations Inc. produces planters. For the first year, the fixed
set-up costs are $15,000. The variable costs for producing each
planter are $18. The revenue from each planter is $24. Find the
profit or loss from the production and sale of 1200 planters.
a) $28,800 profit b) $21,600 loss
c) $7800 loss d) $22,200 profit
18. The graph of the function
fx mx b
contains the points
3, 6
and
5, 9
. Find
b
.
a)
3
8
b)
57
8
c)
15
8
d)
57
2
19. A caterer has 5 cups of hot and spicy peanuts. How many cups of
plain peanuts should he add to the spicy peanuts if he wants to
create a mixture that is 20% spicy peanuts?
a) 25 cups b)
1
14
cups c) 20 cups d) 15 cups
Chapter Tests 353
CHAPTER 9 NAME
TEST FORM A CLASS_____SCORE_____GRADE
______________________________________________________________________________
Solve algebraically.
1. 8634yt 2.
63 8 5xx!
3.
32 1 4 3 35xxxt
Solve graphically.
4.
37x
5.
23 6xxd
6. Let
59fx x
and
712gx x
. Find all values of x for
which
fx gx!
.
7. Fran can rent a van for either $75 per day with unlimited mileage
or $60 per day with 150 free miles and an extra charge of 15¢ for
each mile over 150. For what numbers of miles traveled would the
unlimited mileage plan save Fran money?
ANSWERS
1.
2.
3.
4.
See graph.
5.
See graph.
6.
7.
354 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 9 NAME
TEST FORM A
______________________________________________________________________________
8. A refrigeration repair company charges $50 for the first half-hour
of work and $30 per hour for additional repair time. Pine
Mountain Resort has budgeted $200 to repair its walk-in cooler.
For what lengths of service call will the budget not be exceeded?
9. Find the intersection:
^`^`
,,,, ,,,,kstvx stark
.
10. Find the union:
^`^`
1, 2, 3, 4, 5 0, 3, 4, 5
.
For
fx
as given, use interval notation to write the domain of f.
11.
43fx x
12.
2
x
fx x
Solve and graph each solution set.
13.
1354td
14.
4210 33xorx !
15.
395 15xorx! !
16.
5317xd d
17.
3x
18.
2a!
ANSWERS
8.
9.
10.
11.
12.
13.
See graph
14.
See graph.
15.
See graph.
16.
See graph.
17.
See graph.
18.
See graph.
Chapter Tests 355
CHAPTER 9 NAME
TEST FORM A
______________________________________________________________________________
Solve and graph each solution set.
19.
236x
20.
798t!
21.
62 3x
22. Let
12 5gx x
. Find all values of x for which
4 4gx orgx !
.
23. Let
13fx x
and
3gx x
. Find all values of x for
which
fx gx
.
24. Graph
23yxt
on a plane.
ANSWERS
19.
See graph.
20.
See graph.
21.
See graph.
22.
See graph.
23.
24. See graph.
356 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 9 NAME
TEST FORM A
______________________________________________________________________________
Graph each system of inequalities. Find the coordinates of any vertices
formed.
25.
6,
2
xy
xy
t
t
26.
36,
25,
0,
0
xy
xy
y
x
d
t
d
t
27. Find the maximum and minimum values of
85Fx x y
subject to
5,
03,
03.
xy
x
y
d
dd
dd
28. Perry’s Salon makes $18 on each manicure and $25 on each cut
and style. A manicure takes 30 minutes, a cut and style takes 60
minutes, and there are 5 stylists who each work 8 hours per day. If
the salon can schedule 75 appointments per day, how many should
be manicures and how many should be haircuts in order to
maximize profit? What is the maximum profit?
Solve. Write the solution set using interval notation.
29.
81414 88x and xd t
30.
911589xxx
ANSWERS
25.
See graph.
26.
See graph
27.
28.
29.
30.
Chapter Tests 357
CHAPTER 9 NAME
TEST FORM B CLASS_____SCORE_____GRADE
______________________________________________________________________________
Solve algebraically.
1.
7721yt
2.
45 8 7xx
3.
42 3 26 3 52xxx d
Solve graphically.
4.
23x
5.
34 21xxt
6. Let
28fx x
and
73gx x
. Find all values of x for
which
fx gx!
.
7. Greg can rent a van for either $50 per day with unlimited mileage
or $35 per day with 75 free miles and an extra charge of 25¢ for
each mile over 75. For what numbers of miles traveled would the
unlimited mileage plan save Greg money?
ANSWERS
1.
2.
3.
4.
See graph.
5.
See graph.
6.
7.
358 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 9 NAME
TEST FORM B
______________________________________________________________________________
8. A computer repair company charges $45 for the first half-hour of
work and $30 per hour for additional repair time. Broadville Inc.
has budgeted $225 to repair its intranet server. For what lengths of
service call will the budget not be exceeded?
9. Find the intersection:
^`^`
,,, , ,,,,mno pq notes
.
10. Find the union:
^`^`
2, 4, 6, 8, 10 3, 4, 5, 6
.
For
fx
as given, use interval notation to write the domain of f.
11.
4fx x
12.
2x
fx x
Solve and graph each solution set.
13.
7389td
14.
951 63xorx !
15.
3124 12xorx! !
16.
8325xd d
17.
4.5x
18.
4a!
ANSWERS
8.
9.
10.
11.
12.
13.
See graph
14.
See graph.
15.
See graph.
16.
See graph.
17.
See graph.
18.
See graph.
Chapter Tests 359
CHAPTER 9 NAME
TEST FORM B
______________________________________________________________________________
Solve and graph each solution set.
19.
8210x
20.
814tt
21.
715x
22. Let
7gx x
. Find all values of x for which
2 2gx orgx !
.
23. Let
12fx x
and
14gx x
. Find all values of x for
which
fx gx
.
24. Graph
31yxd
on a plane.
ANSWERS
19.
See graph.
20.
See graph.
21.
See graph.
22.
See graph.
23.
24. See graph.
360 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 9 NAME
TEST FORM B
______________________________________________________________________________
Graph each system of inequalities. Find the coordinates of any vertices
formed.
25.
4,
1
xy
xy
t
t
26.
34,
21,
0,
0
yx
yx
y
x
t
t
t
t
27. Find the maximum and minimum values of
85Fx x y
subject to
10,
37,
05.
xy
x
y
d
dd
dd
28. Fido’s Grooming makes $16 on each brushing and $20 on each full
shampoo wash. A good brushing takes 20 minutes, a full wash
takes 60 minutes, and there are 6 employees who each work
5 hours per day. If the groomers can schedule 40 appointments per
day, how many should be brushes and how many should be full
washes in order to maximize profit? What is the maximum profit?
Solve. Write the solution set using interval notation.
29.
348 33x and xd t
30.
713367xxx
ANSWERS
25.
See graph.
26.
See graph
27.
28.
29.
30.
Chapter Tests 361
CHAPTER 9 NAME
TEST FORM C CLASS_____SCORE_____GRADE
______________________________________________________________________________
Solve algebraically.
1.
4111yd
2.
74 2 7 4xx!
3.
24 1 3 5 25xxxd
Solve graphically.
4.
31x
5.
21 34xxt
6. Let
61fx x
and
87gx x
. Find all values of x for
which
fx gx!
.
7. Dan can rent a van for either $75 per day with unlimited mileage
or $55 per day with 100 free miles and an extra charge of 20¢ for
each mile over 100. For what numbers of miles traveled would the
unlimited mileage plan save Dan money?
ANSWERS
1.
2.
3.
4.
See graph.
5.
See graph.
6.
7.
362 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 9 NAME
TEST FORM C
______________________________________________________________________________
8. An oven repair company charges $50 for the first half-hour of
work and $25 per hour for additional repair time. The Mama’s
Cupboard Bakery has budgeted $125 to repair its bread oven. For
what lengths of service call will the budget not be exceeded?
9. Find the intersection:
^`^ `
,,,, ,,,,,xyzab aeiouy
.
10. Find the union:
^`^`
1,3,5,7,9 2,3,4,5
.
For
fx
as given, use interval notation to write the domain of f.
11.
34fx x
12.
5
x
fx x
Solve and graph each solution set.
13.
4240td
14.
426 35xorx !
15.
4126 12xorx! !
16.
3217xd d
17.
4x
18.
7a!
ANSWERS
8.
9.
10.
11.
12.
13.
See graph
14.
See graph.
15.
See graph.
16.
See graph.
17.
See graph.
18.
See graph.
Chapter Tests 363
CHAPTER 9 NAME
TEST FORM C
______________________________________________________________________________
Solve and graph each solution set.
19.
5614x
20.
2410tt
21.
84 12x
22. Let
10 7gx x
. Find all values of x for which
5 5gx orgx !
.
23. Let
14fx x
and
4gx x
. Find all values of x for
which
fx gx
.
24. Graph
2yxt
on a plane.
ANSWERS
19.
See graph.
20.
See graph.
21.
See graph.
22.
See graph.
23.
24. See graph.
364 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 9 NAME
TEST FORM C
______________________________________________________________________________
Graph each system of inequalities. Find the coordinates of any vertices
formed.
25.
4,
3
xy
xy
t
t
26.
24,
35,
0,
0
yx
yx
y
x
t
t
d
t
27. Find the maximum and minimum values of
58Fx x y
subject to
10,
05,
05.
xy
x
y
d
dd
dd
28. Mountain Air Spa makes $15 on each manicure and $25 on each
massage. A manicure takes 20 minutes, a massage takes
60 minutes, and there are 5 employees who each work 6 hours per
day. If the spa can schedule 60 appointments per day, how many
should be manicures and how many should be massages in order to
maximize profit? What is the maximum profit?
Solve. Write the solution set using interval notation.
29.
622 66x and xd t
30.
418 34xxx
ANSWERS
25.
See graph.
26.
See graph
27.
28.
29.
30.
Chapter Tests 365
CHAPTER 9 NAME
TEST FORM D CLASS_____SCORE_____GRADE
______________________________________________________________________________
Solve algebraically.
1.
596yd
2.
36 2 7xx
3.
36 5 8 4 36xxxt
Solve graphically.
4.
43x
5.
6523aad
6. Let
46fx x
and
54gx x
. Find all values of x for
which
fx gx!
.
7. Dodie can rent a van for either $50 per day with unlimited mileage
or $40 per day with 100 free miles and an extra charge of 25¢ for
each mile over 100. For what numbers of miles traveled would the
unlimited mileage plan save Dodie money?
ANSWERS
1.
2.
3.
4.
See graph.
5.
See graph.
6.
7.
366 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 9 NAME
TEST FORM D
______________________________________________________________________________
8. An oven repair company charges $40 for the first half-hour of
work and $20 per hour for additional repair time. The Tasty
Bakery has budgeted $120 to repair its bread oven. For what
lengths of service call will the budget not be exceeded?
9. Find the intersection:
^`^`
,,, , ,,,,mnopq ntsr p
.
10. Find the union:
^`^`
0, 1, 2, 3, 5 1, 3, 5, 7
.
For
fx
as given, use interval notation to write the domain of f.
11.
43fx x
12.
4x
fx x
Solve and graph each solution set.
13.
4257td
14.
645 41xorx !
15.
392 4xorx! !
16.
134 11xd d
17.
4.5x
18.
6a!
ANSWERS
8.
9.
10.
11.
12.
13.
See graph
14.
See graph.
15.
See graph.
16.
See graph.
17.
See graph.
18.
See graph.
Chapter Tests 367
CHAPTER 9 NAME
TEST FORM D
______________________________________________________________________________
Solve and graph each solution set.
19.
259x
20.
36t t
21.
95x
22. Let
32gx x
. Find all values of x for which
1 1gx orgx !
.
23. Let
10fx x
and
2gx x
. Find all values of x for
which
fx gx
.
24. Graph
32yxd
on a plane.
ANSWERS
19.
See graph.
20.
See graph.
21.
See graph.
22.
See graph.
23.
24. See graph.
368 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 9 NAME
TEST FORM D
______________________________________________________________________________
Graph each system of inequalities. Find the coordinates of any vertices
formed.
25.
2,
0
xy
xy
t
t
26.
34,
21,
0,
0
xy
xy
y
x
d
d
d
t
27. Find the maximum and minimum values of
58Fx x y
subject to
8,
26,
15.
xy
x
y
d
dd
dd
28. A-1 Petstop makes $30 on each cut and $20 on each full shampoo
wash. A cut takes 45 minutes, a full wash takes 30 minutes, and
there are 5 employees who each work 8 hours per day. If the
groomers can schedule 60 appointments per day, how many should
be cuts and how many should be full washes in order to maximize
profit? What is the maximum profit?
Solve. Write the solution set using interval notation.
29.
586 55x and xd t
30.
614256xxx
ANSWERS
25.
See graph.
26.
See graph
27.
28.
29.
30.
Chapter Tests 369
CHAPTER 9 NAME
TEST FORM E CLASS_____SCORE_____GRADE
______________________________________________________________________________
Solve algebraically.
1.
6810yd
2.
83 4 3xx!
3.
524324xxxd
Solve graphically.
4.
33x
5.
2167xxt
6. Let
64fx x
and
10 16gx x
. Find all values of x
for which
fx gx!
.
7. Stan can rent a van for either $50 per day with unlimited mileage
or $45 per day with 150 free miles and an extra charge of 25¢ for
each mile over 150. For what numbers of miles traveled would the
unlimited mileage plan save Stan money?
ANSWERS
1.
2.
3.
4.
See graph.
5.
See graph.
6.
7.
370 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 9 NAME
TEST FORM E
______________________________________________________________________________
8. A mixer repair company charges $50 for the first half-hour of work
and $40 per hour for additional repair time. The Tea and Biscuit
Bakeshop has budgeted $250 to repair its dough mixer. For what
lengths of service call will the budget not be exceeded?
9. Find the intersection:
^`^ `
,,,, ,,,,petmz xmn pz
.
10. Find the union:
^`^`
0, 5, 10, 15, 20 5, 10, 20, 30
.
For f (x) as given, use interval notation to write the domain of f.
11.
54fx x
12.
1
4
x
fx x
Solve and graph each solution set.
13.
6342td
14.
345 21xorx !
15.
392 4xorx! !
16.
62 15xd d
17.
5x
18.
5a!
ANSWERS
8.
9.
10.
11.
12.
13.
See graph
14.
See graph.
15.
See graph.
16.
See graph.
17.
See graph.
18.
See graph.
Chapter Tests 371
CHAPTER 9 NAME
TEST FORM E
______________________________________________________________________________
Solve and graph each solution set.
19.
4310x
20.
927tt
21.
36x
22. Let
410gx x
. Find all values of x for which
6 18gx orgx !
.
23. Let
15fx x
and
9gx x
. Find all values of x for
which
fx gx
.
24. Graph
24yxt
on a plane.
ANSWERS
19.
See graph.
20.
See graph.
21.
See graph.
22.
See graph.
23.
24. See graph.
372 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 9 NAME
TEST FORM E
______________________________________________________________________________
Graph each system of inequalities. Find the coordinates of any vertices
formed.
25.
0,
1
xy
xy
t
t
26.
23,
43,
0,
0
xy
xy
y
x
d
d
d
t
27. Find the maximum and minimum values of
58Fx x y
subject to
6,
28,
22.
xy
x
y
d
d d
d d
28. Tony Salon makes $12 on each manicure and $24 on each
massage. A manicure takes 15 minutes, a massage takes
40 minutes, and there are 3 employees who each work 5 hours per
day. If the salon can schedule 30 appointments per day, how many
should be manicures and how many should be massages in order to
maximize profit? What is the maximum profit?
Solve. Write the solution set using interval notation.
29.
468 44x and xd t
30.
516 45xxx
ANSWERS
25.
See graph.
26.
See graph
27.
28.
29.
30.
Chapter Tests 373
CHAPTER 9 NAME
TEST FORM F CLASS_____SCORE_____GRADE
______________________________________________________________________________
Solve algebraically.
1.
7523yt
2.
54 6 15xx
3.
42 1 2 3 56xxxt
Solve graphically.
4.
25x
5.
2226xxt
6. Let
37fx x
and
54gx x
. Find all values of x for
which
fx gx!
.
7. Jan can rent a van for either $75 per day with unlimited mileage or
$50 per day with 75 free miles and an extra charge of 20¢ for each
mile over 75. For what numbers of miles traveled would the
unlimited mileage plan save Jan money?
ANSWERS
1.
2.
3.
4.
See graph.
5.
See graph.
6.
7.
374 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 9 NAME
TEST FORM F
______________________________________________________________________________
ANSWERS
8.
9.
10.
11.
12.
13.
See graph
14.
See graph.
15.
See graph.
16.
See graph.
17.
See graph.
18.
See graph.
8. A computer repair company charges $50 for the first half-hour of
work and $25 per hour for additional repair time. Datalogue Inc.
has budgeted $225 to repair its SQL server. For what lengths of
service call will the budget not be exceeded?
9. Find the intersection:
^`^ `
,,,, , ,,,bkeit e f ghi
.
10. Find the union:
^`^`
3,6,9,12,15 6,9,18,27
.
For
fx
as given, use interval notation to write the domain of f.
11.
3fx x
12.
2
5
x
fx x
Solve and graph each solution set.
13.
477td
14.
24 9 3 5 3xorx !
15.
392 6xorxt !
16.
243 10xd d
17.
3.5x
18.
3a!
Chapter Tests 375
CHAPTER 9 NAME
TEST FORM F
______________________________________________________________________________
Solve and graph each solution set.
19.
329x
20.
617tt
21.
64 4x
22. Let
74gx x
. Find all values of x for which
3 3gx orgx !
.
23. Let
13fx x
and
7gx x
. Find all values of x for
which
fx gx
.
24. Graph
31yxd
on a plane.
ANSWERS
19.
See graph.
20.
See graph.
21.
See graph.
22.
See graph.
23.
24. See graph.
376 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 9 NAME
TEST FORM F
______________________________________________________________________________
Graph each system of inequalities. Find the coordinates of any vertices
formed.
25.
2,
2
xy
xy
t
t
26.
23,
43,
0,
0
xy
xy
y
x
t
t
d
d
27. Find the maximum and minimum values of
85Fx x y
subject to
12,
510,
0 10.
xy
x
y
d
dd
dd
28. Go Spot makes $16 on each brushing and $25 on each full
shampoo wash. A good brushing takes 25 minutes, a full wash
takes 60 minutes, and there are 4 employees who each work
5 hours per day. If the groomers can schedule 34 appointments per
day, how many should be brushes and how many should be full
washes in order to maximize profit? What is the maximum profit?
Solve. Write the solution set using interval notation.
29.
71214 77x and xd t
30.
812478xxx
ANSWERS
25.
See graph.
26.
See graph
27.
28.
29.
30.
Chapter Tests 377
CHAPTER 9 NAME
TEST FORM G CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Solve:
239.xt
a)
>
6, f
b)
>
6,f
c)
>
3,f
d)
@
,6f
2. Solve:
54 3 2aad
.
a)
4
9
aa
½
t
®¾
¯¿
b)
9
4
aa
½
d
®¾
¯¿
c)
9
4
aa
½
t
®¾
¯¿
d)
4
9
aa
½
d
®¾
¯¿
3. Solve:
32 1 6 5 24xxx!
.
a)
17
,13
§·
f
¨¸
©¹
b)
1
,13
§·
f
¨¸
©¹
c)
1
,9
§·
f
¨¸
©¹
d)
1,
13
§·
f
¨¸
©¹
4. Using the graph, determine the solution of
41.x
a)
1,f
b)
5, 1
c)
,5f
d)
5, f
5. Using the graph, determine the solution of
.fx gxt
a)
>
2,f
b)
>
1,f
c)
@
,2f
d)
@
,1f
6. Let
35fx x
and
67gx x
. Find all values of x for
which
fx gx!
.
a)
^
`
15xx b)
2
3
xx
½
®¾
¯¿
c)
^
`
4xx d)
^
`
4xx!
7. Nan can rent a van for either $50 per day with unlimited mileage
or $35 per day with 75 free miles and an extra charge of 20¢ for
each mile over 75. For what numbers of miles traveled would the
unlimited mileage plan save Nan money?
a) More than 250 b) Less than 350
c) Less than 150 d) More than 150
ANSWERS
1.
2.
3.
4.
5.
6.
7.
378 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 9 NAME
TEST FORM G
______________________________________________________________________________
ANSWERS
8.
9.
10.
11.
12.
13.
8. Find the intersection:
^`^`
3, 6, 8, 9, 11 6, 8, 10, 12
.
a)
^`
6, 8
b)
^`
6, 8, 10, 12
c)
^`
3, 9, 10, 11, 12
d)
^`
3, 6, 8, 9, 10, 11, 12
9. Find the domain of
42fx x
.
a)
@
,2f
b)
,2f
c)
@
,2f
d)
>
2, f
10. Identify the graph of the solution set for
6245td d
.
a)
b)
c)
d)
11. Identify the graph of the solution set for
351 7 6x and x !
.
a)
b)
c)
d)
12. Solve:
28515xorx !
.
a)
3, f
b)
4, 3
c)
,4 3,f f
d)
4,f
13. Solve:
4a!
.
a)
^`
|4aa!
b)
^`
|4 4aa ora !
c)
^`
|4 4aa
d)
^`
|4aa!
Chapter Tests 379
CHAPTER 9 NAME
TEST FORM G
______________________________________________________________________________
14. Solve:
348y
.
a)
4
4, 3
§·
¨¸
©¹
b)
4, 4
c)
d)
4,4
3
§·
¨¸
©¹
15. Solve:
213tt
.
a)
^
`
21t t or td t b)
^
`
12ttdd
c)
^
`
is a real numbertt d)
^
`
12t t or td t
16. Solve
26 2x
.
a)
2
3
r
b)
2
0, 3
c)
\
d)
17. Let
31fx x
and
32gx x
. Find all values of x for
which
.fx gx
a)
b)
1
6
c)
1
6
d) –6
18. Graph:
3,
1.
xy
xy
t
t
a)
b)
c)
d)
ANSWERS
14.
15.
16.
17.
18.
380 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 9 NAME
TEST FORM G
______________________________________________________________________________
ANSWERS
19.
20.
21.
22.
23.
19. Find the maximum value of
23Fx x y
subject to
5,
55,
03.
xy
x
y
d
d d
dd
a) 25 b) –10 c) 12 d) 13
Mountain View Spa makes $12 on each pedicure and $25 on each foot
massage. A pedicure takes 30 minutes, a massage takes 45 minutes,
and there are 4 employees who each work 6 hours per day. The spa can
schedule 40 appointments per day.
20. How many appointments in one day should be foot massages in
order to maximize profit?
a) 24 b) 16 c) 0 d) 32
21. What is the maximum profit?
a) $792 b) $480 c) $896 d) $1000
22. Solve:
2515 43x and xd t
.
a)
>
@
1, 10
b)
@
>
,7 5,f f
c)
>
@
5, 1
d)
>
@
>
@
7, 5 1, 10
23. Solve:
222312xxx
.
a)
0, 21
b)
22, 21
c)
21, 22
d)
22, 21
Chapter Tests 381
CHAPTER 9 NAME
TEST FORM H CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Solve:
4 5 13.xd
a)
>
2,f
b)
>
2, f
c)
2,f
d)
@
,2f
2. Solve:
32 6 5.aad
a)
^
`
9aat b)
1
9
aa
½
d
®¾
¯¿
c)
^
`
9aat d)
1
9
aa
½
t
®¾
¯¿
3. Solve:
23 4 5 6 42xxx
.
a)
5
,4
§·
f
¨¸
©¹
b)
11 ,
16
§·
f
¨¸
©¹
c)
11,
4
§·
f
¨¸
©¹
d)
11
,16
§·
f
¨¸
©¹
4. Using the graph, determine the solution of
21.x
a)
3, 1
b)
,1f
c)
,3f
d)
3, f
5. Using the graph, determine the solution of
.fx gxt
a)
>
2, f
b)
@
,2f
c)
>
1, f
d)
@
,1f
6. Let
211fx x
and
55gx x
. Find all values of x for
which
fx gx!
.
a)
^
`
3xx b)
^
`
2xx! c)
^
`
3xx! d)
^
`
2xx
7. Hans can rent a van for either $75 per day with unlimited mileage
or $45 per day with 100 free miles and an extra charge of 15¢ for
each mile over 100. For what numbers of miles traveled would the
unlimited mileage plan save Hans money?
a) Less than 350 b) Less than 300
c) More than 350 d) More than 300
ANSWERS
1.
2.
3.
4.
5.
6.
7.
382 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 9 NAME
TEST FORM H
______________________________________________________________________________
ANSWERS
8.
9.
10.
11.
12.
13.
8. Find the intersection:
^`^`
1, 3, 5, 7, 9 1, 5, 9, 11
.
a)
^`
1, 5, 9
b)
^`
3, 11
c)
^`
1, 3, 5, 9, 11
d)
^`
1, 5, 9, 13
9. Find the domain of
35fx x
.
a)
3,
5
ª
·
f¸
«
¹
¬
b)
3
,5
§·
f
¨¸
©¹
c)
3
,5
§
º
f
¨»
©¼
d)
3,
5
ª
·
f
¸
«
¹
¬
10. Identify the graph of the solution set for
3217td d
.
a)
b)
c)
d)
11. Identify the graph of the solution set for
233 83x and x !
.
a)
b)
c)
d)
12. Solve:
39412xorx !
.
a)
3,f
b)
3, f
c)
,3 3,f f
d)
3, 3
13. Solve:
3a!
.
a)
^`
|3aa!
b)
^`
|3 3aa
c)
^`
|3 3aa ora !
d)
^`
|3aa
Chapter Tests 383
CHAPTER 9 NAME
TEST FORM H
______________________________________________________________________________
14. Solve:
2511y
.
a)
8, 3
b)
,8f
c)
,3f
d)
3, 8
15. Solve:
324tt
.
a)
22
3
t t and t
½
t d
®¾
¯¿
b)
2
23
tt ort
½
d t
®¾
¯¿
c)
22
3
tt ort
½
d t
®¾
¯¿
d)
31
22
tt ort
½
d t
®¾
¯¿
16. Solve
35 7x
.
a)
\
b)
c)
4,2
5
d) 2
17. Let
24fx x
and
35gx x
. Find all values of x for
which
.fx gx
a)
^
`
9
b)
c)
^`
1, 9
d)
1,9
5
½
®¾
¯¿
18. Graph:
2,
5.
xy
xy
t
t
a)
b)
c)
d)
ANSWERS
14.
15.
16.
17.
18.
384 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 9 NAME
TEST FORM H
______________________________________________________________________________
19. Find the maximum value of
23Fx x y
subject to
0,
50,
05.
xy
x
y
d
d d
dd
a) 25 b) –5 c) 5 d) –15
Mountain Air Spa makes $15 on each pedicure and $20 on each foot
massage. A pedicure takes 25 minutes, a massage takes 75 minutes,
and there are 10 employees who each work 6 hours per day. The spa
can schedule 60 appointments per day.
20. How many appointments in one day should be foot massages in
order to maximize profit?
a) 60 b) 42 c) 25 d) 18
21. What is the maximum profit?
a) $1110 b) $990 c) $1200 d) $960
22. Solve:
3816 56x and xd t
.
a)
@
>
,8 11,f f
b)
,f f
c)
8
,11,
3
§º
f f
¨»
©¼
d)
8,1
3
ªº
«»
¬¼
23. Solve:
320223xxx
.
a)
18, 20
b)
0, 18
c)
18, 20
d)
0, 20
ANSWERS
19.
20.
21.
22.
23.
Chapter Tests 385
CHAPTER 10 NAME
TEST FORM A CLASS_____SCORE_____GRADE
______________________________________________________________________________
Simplify. Assume that variables can represent any real number.
1. 45 2.
33
27
x
3.
2
144a
4.
2
44xx
5. Write an equivalent expression using exponential notation:
5xy
.
6. Write an equivalent expression using radical notation:
4/5
3
2ab .
7. If
36fx x
, determine the domain of f.
8. If
2
fx x
, find
43f.
Simplify. Write all answers using radical notation. Assume that all
variables represent positive numbers.
9.
412
3
8xy
10.
33
6 2xy
11.
8
2
36
4
x
y
12.
46
5
5
5
xy
xy
13.
3
54
xx
14.
5
8
y
y
15. 85 45 16. 48 12 75xz xz xz
17.
553xx
18. Rationalize the denominator:
3
3
5
2
x
w.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
386 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 10 NAME_____________________________
TEST FORM A
______________________________________________________________________________
ANSWERS
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
Solve.
19. 945x
20. 3124xx
21. 52xx
Solve. Give exact answers and where appropriate, an approximation to
three decimal places.
22. A pedestrian crosses diagonally from one corner of a 750 m by
1200 m parking lot to the far corner. How far does the pedestrian
walk?
23. One leg of an isosceles right triangle is 14 cm long. Find the
lengths of the other sides.
24. Find the distance between the points
8, 3
and
2, 5
.
25. Find the midpoint of the segment with endpoints
6, 8
and
2, 4
.
26. Express in terms of
i
and simplify: 98.
27. Subtract:
82 38
ii
.
28. Multiply. Write the answer in the form
abi
.
2
3i
29. Divide. Write the answer in the form
abi
.
3
42
i
i
30. Simplify:
49
i
.
31. Solve: 6 9 5 1 12 13xx x .
32. Simplify:
1
23
32 3
i
ii
.
Chapter Tests 387
CHAPTER 10 NAME
TEST FORM B CLASS_____SCORE_____GRADE
______________________________________________________________________________
Simplify. Assume that variables can represent any real number.
1. 72 2.
36
125
x
3.
2
36a
4.
2
21xx
5. Write an equivalent expression using exponential notation:
3xy
.
6. Write an equivalent expression using radical notation:
5/6
2
3ab .
7. If
28fx x
, determine the domain of
f
.
8. If
2
fx x
, find
35f.
Simplify. Write all answers using radical notation. Assume that all
variables represent positive numbers.
9.
15 8
5
243xy
10.
2
33
4 3xy
11.
4
10
81
9
x
y
12.
64
5
23
5
xy
xy
13.
2
34
xx
14.
3
y
y
15. 96 56 16.
8502mp mp mp
17.
286xx
18. Rationalize the denominator:
4
2
4
5
27
y
x
.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
388 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 10 NAME
TEST FORM B
______________________________________________________________________________
ANSWERS
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
Solve.
19. 12 6 8x
20. 19 31 3xx
21. 23xx
Solve. Give exact answers and where appropriate, an approximation to
three decimal places.
22. A housefly crosses diagonally from one corner of a 0.75 m by
0.6 m television screen to the far corner. How far does the fly
walk?
23. One leg of an isosceles right triangle is 17 cm long. Find the
lengths of the other sides.
24. Find the distance between the points
6, 4
and
7, 2
.
25. Find the midpoint of the segment with endpoints
8, 5
and
3, 7
.
26. Express in terms of
i
and simplify: 147.
27. Subtract:
94 36ii
.
28. Multiply. Write the answer in the form
abi
.
2
4i
29. Divide. Write the answer in the form
abi
.
4
23
i
i
30. Simplify:
25
i
.
31. Solve: 10 4 16 17 75 29xx x .
32. Simplify:
1
12
21 2
i
ii
.
Chapter Tests 389
CHAPTER 10 NAME
TEST FORM C CLASS_____SCORE_____GRADE
______________________________________________________________________________
Simplify. Assume that variables can represent any real number.
1. 20 2.
312
27
x
3.
2
49a
4.
2
20 100xx
5. Write an equivalent expression using exponential notation:
3
3xy
.
6. Write an equivalent expression using radical notation:
4/5
2ab .
7. If
824fx x
, determine the domain of
f
.
8. If
2
fx x
, find
35f.
Simplify. Write all answers using radical notation. Assume that all
variables represent positive numbers.
9.
89
3
27xy
10.
22
33
6 5xy
11.
4
8
49
9
x
y
12.
27
5
23
5
xy
xy
13.
3
5
xx
14.
3
5
y
y
15.
82 72
16.
20 125 45xp xp xp
17.
464xx
18. Rationalize the denominator:
3
3
4
3
m
a.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
390 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 10 NAME
TEST FORM C
______________________________________________________________________________
ANSWERS
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
Solve.
19. 463x
20. 35xx
21. 24xx
Solve. Give exact answers and where appropriate, an approximation to
three decimal places.
22. A pedestrian crosses diagonally from one corner of a 500 m by
700 m parking lot to the far corner. How far does the pedestrian
walk?
23. One leg of an isosceles right triangle is 5 cm long. Find the lengths
of the other sides.
24. Find the distance between the points
2, 6
and
4, 4
.
25. Find the midpoint of the segment with endpoints
8, 2
and
1, 9
.
26. Express in terms of
i
and simplify: 243.
27. Subtract:
52 37ii
.
28. Multiply. Write the answer in the form
abi
.
2
43i
29. Divide. Write the answer in the form
abi
.
82
3
i
i
30. Simplify:
32
i
.
31. Solve: 2 7 6 1 10 4xx x .
32. Simplify:
1
43
i
Chapter Tests 391
CHAPTER 10 NAME
TEST FORM D CLASS_____SCORE_____GRADE
______________________________________________________________________________
Simplify. Assume that variables can represent any real number.
1. 60 2.
36
729
x
3.
2
49a
4.
2
18 81xx
5. Write an equivalent expression using exponential notation:
6xy
.
6. Write an equivalent expression using radical notation:
5/6
22
3ab .
7. If
20 400fx x
, determine the domain of
f
.
8. If
2
fx x
, find
46f.
Simplify. Write all answers using radical notation. Assume that all
variables represent positive numbers.
9.
15 11
5
32xy
10.
2
33
6 2xy
11.
6
2
49
25
x
y
12.
45
5
23
5
xy
xy
13.
2
34
xx
14.
8
y
y
15.
72 32
16.
28 7 700xy xy xy
17.
53xx
18. Rationalize the denominator:
2
5
5
5
8
b
a
.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
392 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 10 NAME
TEST FORM D
______________________________________________________________________________
ANSWERS
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
Solve.
19. 451x
20. 18 8 4xx
21. 13 7xx
Solve. Give exact answers and where appropriate, an approximation to
three decimal places.
22. A disoriented driver crosses diagonally from one corner of a 100 m
by 300 m lawn to the far corner. How far does the wayward driver
drive across the lawn?
23. One leg of an isosceles right triangle is 11 cm long. Find the
lengths of the other sides.
24. Find the distance between the points
4, 5
and
2, 3
.
25. Find the midpoint of the segment with endpoints
3, 4
and
1, 6
.
26. Express in terms of
i
and simplify: 75.
27. Subtract:
82 59ii
.
28. Multiply. Write the answer in the form
abi
.
2
34i
29. Divide. Write the answer in the form
abi
.
2
46
i
i
30. Simplify:
28
i
.
31. Solve: 213 34 51xxx .
32. Simplify:
1
34
43 4
i
ii
.
Chapter Tests 393
CHAPTER 10 NAME
TEST FORM E CLASS_____SCORE_____GRADE
______________________________________________________________________________
Simplify. Assume that variables can represent any real number.
1.
24
2.
312
8
x
3.
2
64a
4.
2
14 49xx
5. Write an equivalent expression using exponential notation:
22
3
4xy
.
6. Write an equivalent expression using radical notation:
5/6
32
3ab .
7. If
530fx x
, determine the domain of
f
.
8. If
2
fx x
, find
73f.
Simplify. Write all answers using radical notation. Assume that all
variables represent positive numbers.
9.
12 14
3
64xy
10.
2
33
2 6xy
11.
6
2
25
16
x
y
12.
36
5
23
5
xy
xy
13.
4
53
xx
14.
4
8
y
y
15. 63 23 16. 85072tv tv tv
17.
642xx
18. Rationalize the denominator:
3
3
4
5
w
x.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
394 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 10 NAME
TEST FORM E
______________________________________________________________________________
ANSWERS
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
Solve.
19. 14 6 9x
20. 212xx
21. 82xx
Solve. Give exact answers and where appropriate, an approximation to
three decimal places.
22. A shopper crosses diagonally from one corner of a 0.7 km by
0.6 km parking lot to the far corner. How far does the shopper
walk?
23. One leg of an isosceles right triangle is 8 cm long. Find the lengths
of the other sides.
24. Find the distance between the points
2, 6
and
5, 8
.
25. Find the midpoint of the segment with endpoints
5, 4
and
1, 9
.
26. Express in terms of
i
and simplify: 98.
27. Subtract:
756ii
.
28. Multiply. Write the answer in the form
abi
.
2
32i
29. Divide. Write the answer in the form
abi
.
53
2
i
i
30. Simplify:
7
i
.
31. Solve: 311 8 4 12 4xx x .
32. Simplify:
1
32
23 2
i
ii
.
Chapter Tests 395
CHAPTER 10 NAME
TEST FORM F CLASS_____SCORE_____GRADE
______________________________________________________________________________
Simplify. Assume that variables can represent any real number.
1. 75 2.
39
8
x
3.
2
64a
4.
2
10 25xx
5. Write an equivalent expression using exponential notation:
2
3
6xy
.
6. Write an equivalent expression using radical notation:
4/5
2
6ab .
7. If
12 48fx x
, determine the domain of
f
.
8. If
2
fx x
, find
26f.
Simplify. Write all answers using radical notation. Assume that all
variables represent positive numbers.
9.
818
3
125xy
10.
22
33
2 6xy
11.
2
4
25
81
x
y
12.
27
5
4
5
xy
xy
13.
5
6
3
xx
14.
4
5
y
y
15. 93 63 16.
125 45 80mp mp mp
17.
375xx
18. Rationalize the denominator:
4
2
4
2
125
x
y
.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
396 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 10 NAME
TEST FORM F
______________________________________________________________________________
ANSWERS
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
31.
32.
Solve.
19. 354x
20. 15 9 3xx
21. 21xx
Solve. Give exact answers and where appropriate, an approximation to
three decimal places.
22. A farmer rides diagonally from one corner of a 2 km by 5 km
rectangular field to the far corner. How far does the farmer ride?
23. One leg of an isosceles right triangle is 20 cm long. Find the
lengths of the other sides.
24. Find the distance between the points
8, 4
and
1, 6
.
25. Find the midpoint of the segment with endpoints
0, 8
and
2, 5
.
26. Express in terms of
i
and simplify: 128.
27. Subtract:
43 56ii
.
28. Multiply. Write the answer in the form
abi
.
2
34i
29. Divide. Write the answer in the form
abi
.
52
63
i
i
30. Simplify:
15
i
.
31. Solve: 5 6 10 16 34 4xx x .
32. Simplify:
1
2
2
i
ii
.
Chapter Tests 397
CHAPTER 10 NAME
TEST FORM G CLASS_____SCORE_____GRADE
______________________________________________________________________________
For questions 1–4, assume that variables can represent any real number.
1. Simplify: 98 .
a) 2 7 b)
72
c) 49 d)
49 2
2. Simplify:
312
27
x
.
a)
4
3
x
b)
4
9
x
c)
4
3
x
d) Undefined
3. Simplify:
2
64a
.
a)
8
a
b)
32
a
c)
8
a
d)
8
a
4. Simplify:
2
22 121xx
.
a)
11
x
b)
11
x
c)
11
x
d)
11 22xx
5. Express using exponential notation: 14mn .
a)
12
7mn b)
2
1
14mn c)
12
14mn d)
2
14mn
6. Express using radical notation:
5/6
24
3ab .
a)
6
24
5
3ab
b)
5
24
6
3ab
c)
24
6
3ab
d)
10 20
6
15ab
7. If
412fx x
, determine the domain of
f
.
a)
>
3,
f
b)
>
3,
f
c)
@
,3
f
d)
@
,3
f
8. If
2
fx x
, find
26f.
a) 673 b) 10 4 6 c) 10 4 6 d) 673
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
398 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 10 NAME
TEST FORM G
______________________________________________________________________________
For questions 9–17, assume that all variables represent positive
numbers.
9. Simplify:
12 10
3
64xy
.
a)
43
4xy y
b)
97
4xy c)
43
3
64
3xy y
d)
43
3
4xy y
10. Simplify:
2
33
65xy
.
a)
3
30xy
b)
2
3
30xy
c)
2
6
30xy
d)
2
3
6xy
11. Simplify:
2
6
4
36
x
y
.
a)
2
3
3
x
y
b)
2
3
6
x
y
c)
3
x
y d)
3
3
x
y
12. Simplify:
10 4
6
5
6
27
9
xy
xy
.
a)
53
6
3xy
b)
24
6
3xy
c)
5
6
1
2yx
d)
53
3xy
13. Simplify:
23
34
xx
.
a)
5
7
x
b)
5
12
xx
c)
6
12
x
d) x
14. Simplify:
6
5
3
4
a
a
.
a)
9
20
a
b)
5
20
a
c)
7
9
a
d)
5
a
15. Simplify:
18 6 12 6.
a) 6 b)
36
2
c) 6 6 d) 12 3
ANSWERS
9.
10.
11.
12.
13.
14.
15.
Chapter Tests 399
CHAPTER 10 NAME
TEST FORM G
______________________________________________________________________________
16. Simplify:
32 200 8xy xy xy
.
a)
80 2xy
b)
410ixy
c)
42
d)
42xy
17. Simplify:
23 25xx.
a) 8103xx b)
317x
c) 415xx d) 44 15xx
18. Rationalize the denominator:
3
3
5
4
m
n.
a)
3
20
4
mn
n
b)
3
5
2
mn
n
c)
2
3
10
2
mn
n
d)
2
3
10mn
19. Solve: 511xx .
a) 3 b) 7 c) 0, 3 d) 0, 7
20. Solve: 5273xx .
a) 9, 21 b) 9 c) 9, 41 d) No solution
21. A puppy runs diagonally from one corner of a 150 ft by 275 ft lawn
to the far corner. How far does the puppy run across the lawn?
Give an approximate answer to three decimal places.
a) 313.249 ft b) 297.121 ft c) 308.750 ft d) 269.981 ft
22. Find the distance between the points (3, –4) and (2, 5).
a) 10 b) 82 c)
2
d) 106
23. Find the midpoint of the segment with endpoints (4, 2) and (–6, 8).
a) (5, 5) b) (–1, 3) c) (1, 5) d) (–1, 5)
ANSWERS
16.
17.
18.
19.
20.
21.
22.
23.
400 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 10 NAME
TEST FORM G
______________________________________________________________________________
24. Express in terms of i and simplify: 54.
a) 66i b) 36i c) 6i d) 36i
25. Subtract:
42 68ii
.
a)
210i
b)
210i
c)
26i
d)
24 16i
26. Multiply. Write the answer in the form
abi
.
2
25i
a)
410i
b)
21 20i
c)
21 20i
d)
425i
27. Divide. Write the answer in the form
abi
.
73
54
i
i
a)
23 43
41 41 i
b)
23 43
13 13 i
c)
19 22
13 13 i
d)
19 22
41 41 i
28. Simplify:
27
i
.
a)
i
b)
i
c)
1
d)
1
29. Solve: 75154 3031xx x .
a) 3 b) –4 c) 5 d) 4
30. Simplify:
1
53
35 3
i
ii
.
a)
10
3
i
b)
34
3
i
c)
34
3
i
d)
10
i
ANSWERS
24.
25.
26.
27.
28.
29.
30.
Chapter Tests 401
CHAPTER 10 NAME
TEST FORM H CLASS_____SCORE_____GRADE
______________________________________________________________________________
For questions 1–4, assume that variables can represent any real number.
1. Simplify: 175 .
a) 7 5 b) 57 c) 25 7 d)
87 2
2. Simplify:
36
1000
x
.
a)
3
10
x
b)
3
10
x
c)
2
10
x
d) Undefined
3. Simplify:
2
36a
.
a)
6
a
b)
6
a
c)
18
a
d)
6
a
4. Simplify:
2
44xx
.
a)
2
x
b)
24xx
c)
24xx
d)
2
x
5. Express using exponential notation:
5
5wz .
a)
15
wz b)
5
5wz c)
15
5wz d)
5
1
5wz
6. Express using radical notation:
3/10
2
6ab .
a)
3
2
10
6
ab
b)
10
2
3
6
ab
c)
2
10
6ab
d)
3
2
10
18
ab
7. If
936fx x
, determine the domain of
f
.
a)
>
4,f
b)
>
4, f
c)
@
,4f
d)
@
,4f
8. If
2
fx x
, find
32f.
a) 763 b) 567 c)
11 6 2
d)
762
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
402 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 10 NAME
TEST FORM H
______________________________________________________________________________
For questions 9–17, assume that all variables represent positive
numbers.
9. Simplify:
911
3
8
xy
.
a)
33 2
2
xy y
b)
33 2
3
8
3
xy y
c)
68 3
3
2
xy y
d)
33 2
3
2
xy y
10. Simplify:
33
46xy
.
a)
3
24xy
b)
2
3
24
xy
c)
3
2xy
d)
2
3
24
xy
11. Simplify:
4
4
36
49
x
y
.
a)
2
3
6x
y
b)
2
2
7
x
y
c)
2
2
6
7
x
y
d)
3
6
7
x
y
12. Simplify:
85
4
62
4
52
13
xy
xy
.
a)
23
4
39
xy
b)
23
4
4
xy
c)
2xy y
d)
23
4
xy
13. Simplify:
4
xx.
a)
3
xx b)
2
5
x
c) x d)
3
4
x
14. Simplify:
3
5
4
a
a
.
a)
5
20
a
b)
9
20
a
c)
7
20
a
d)
5
a
15. Simplify:
610 1810.
a) 24 5 b) 12 10 c)
110
3
d)
12
ANSWERS
9.
10.
11.
12.
13.
14.
15.
Chapter Tests 403
CHAPTER 10 NAME
TEST FORM H
______________________________________________________________________________
16. Simplify:
48 12 300kp kp kp
.
a) 12 3 b)
421kp
c)
22 3kp
d)
12 3kp
17. Simplify:
343xx.
a) 12 5 3xx b) 75 3xx
c) 12 5 3xx d) 12 13 3xx
18. Rationalize the denominator:
4
3
4
3
4
x
y
.
a)
4
6
2
xy
y
b)
4
12
2
xy
y
c)
3
4
3
12
4
xy
y
d)
4
12xy
19. Solve: 4132xx .
a) 3 b) 9 c) –3, 3 d) No solution
20. Solve: 5 3 11 3xx .
a) 5 b) 5, 20 c)
50
13
d) No solution
21. A housefly walks diagonally from one corner of a 0.8 m by 0.5 m
screen to the far corner. How far does the fly walk? Give an
approximate answer to three decimal places.
a) 1.012 m b) 2.876 m c) 0.943 m d) 0.765 m
22. Find the distance between the points (–2, –6) and (10, –1).
a) 89 b) 193 c) 13 d) 17
23. Find the midpoint of the segment with endpoints (7, –8)
and (–3, 6).
a) (2, –7) b) (4, –2) c) (–2, –1) d) (2, –1)
ANSWERS
16.
17.
18.
19.
20.
21.
22.
23.
404 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 10 NAME
TEST FORM H
______________________________________________________________________________
24. Express in terms of i and simplify: 80.
a) 45i b) 25i c) 5i d) 25i
25. Subtract:
92 64
ii
.
a)
36
i
b)
32
i
c)
36
i
d)
54 8
i
26. Multiply. Write the answer in the form
abi
.
2
43i
a)
724
i
b)
86
i
c)
16 9
i
d)
724
i
27. Divide. Write the answer in the form
abi
.
8
23
i
i
a)
23 43
41 41
i
b)
23 43
13 13
i
c)
19 22
13 13
i
d)
19 22
41 41
i
28. Simplify:
13
i
.
a)
1
b) 1 c)
i
d)
i
29. Solve: 27 28 49xxx .
a) 3 b) –4 c) 5 d) 4
30. Simplify:
1
42
24 2
i
ii
.
a)
10
3
i
b)
34
3
i
c)
34
3
i
d)
10
i
ANSWERS
24.
25.
26.
27.
28.
29.
30.
Chapter Tests 405
CHAPTER 11 NAME
TEST FORM A CLASS_____SCORE_____GRADE
______________________________________________________________________________
Solve.
1.
2
49 3 0x 2.
5 1 4 4 110xx xx
3.
2
250xx
4.
2
84xx
5.
21
3
4
xx
6. Solve
2
3xx
, using a calculator to approximate the solutions
to three decimal places.
7. Let
2
347fx x x
. Find
x
such that
0fx
.
Replace the blanks with constants to form a true equation.
8.
2
2
16xx x
9.
2
2
8
9
xx x
10. Solve by completing the square. Show your work.
2
10 16 0xx
11. Determine the type of number that the solutions of
2
840xx
will be.
12. Write a quadratic equation having solutions 15 and 15 .
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
406 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 11 NAME
TEST FORM A
______________________________________________________________________________
ANSWERS
13.
14.
15.
16. a–c) See graph.
d)
17. a)
b) See graph.
Solve.
13. The White River flows at a rate of 4 km/h. In order for a boat to
travel 76.8 km upriver and then return in a total of 8 hr, how fast
must the boat travel in still water?
14. Elsworth and Priscilla can eat an entire chocolate cream pie in
42 minutes. Eating alone, it takes Priscilla 80 minutes longer than
Elsworth to eat the same type of pie. How long would it take for
Elsworth to eat the pie by himself
?
15. Find all x-intercepts of the graph of
42
536fx x x .
6. a) Graph
2
313fx x .
b) Label the vertex.
c) Draw the axis of symmetry.
d) Find the maximum or the
minimum function value.
7. For the function
2
21fx x x :
a) find the vertex and the axis
of symmetry;
b) graph the function.
Chapter Tests 407
CHAPTER 11 NAME
TEST FORM A
______________________________________________________________________________
18. Find the x– and y-intercepts of
2
280fx x x .
19. Solve
2
13
for
22
mv KT v . Assume all variables are positive.
20. State whether the graph appears to represent a linear function, a
quadratic function, or neither.
21. Safe-T Sure, a manufacturer of emergency radios, estimates that
when x hundred radios are made, the average cost per unit is given
by
2
0.3 2.58 6.687Cx x x , where C is in hundreds of
dollars. What is the minimum cost per unit, and how many units
should be made to achieve that minimum?
22. Find the quadratic function that fits the data points (0, 0), (6, 0),
and (8, 2).
ANSWERS
18.
19.
20.
21.
22.
408 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 11 NAME
TEST FORM A
______________________________________________________________________________
ANSWERS
23.
24.
25.
26.
Solve.
23.
2
224xxd 24.
30xx
!
25. One solution of
2
50kx x k is 3. Find the other solution.
26. Find a fourth-degree polynomial equation, with integer
coefficients, for which
11
and
2i
are solutions.
Chapter Tests 409
CHAPTER 11 NAME
TEST FORM B CLASS_____SCORE_____GRADE
______________________________________________________________________________
Solve.
1.
2
16 5 0x
2.
332560xx xx
3.
2
450xx
4.
2
48xx
5.
21
2xx
6. Solve
2
7xx
, using a calculator to approximate the solutions
with rational numbers to three decimal places.
7. Let
2
615fx x x
. Find
x
such that
0fx
.
Replace the blanks with constants to form a true equation.
8.
2
2
2xx x
9.
2
2
10
7
xx x
10. Solve by completing the square. Show your work.
2
610xx
11. Determine the type of number that the solutions of
2
8260xx
will be.
12. Write a quadratic equation having solutions 5 and 5.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
410 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 11 NAME
TEST FORM B
______________________________________________________________________________
ANSWERS
13.
14.
15.
16. a–c) See graph.
d)
17. a)
b) See graph.
Solve.
13. The Greenfield River flows at a rate of 3 km/h. In order for a boat
to travel 36.4 km upriver and then return in a total of 8 hr, how fast
must the boat travel in still water?
14. Lauren and Humphrey can scrub a floor in 3 hours. Working
alone, it takes Humphrey 3.2 hours longer than Lauren to scrub the
same floor. How long would it take for Lauren to do this job
herself
?
15. Find all x-intercepts of the graph of
42
536fx x x
.
16. a) Graph
2
43fx x .
b) Label the vertex.
c) Draw the axis of symmetry.
d) Find the maximum or the
minimum function value.
17. For the function
2
22fx x x
:
a) find the vertex and the axis
of symmetry;
b) graph the function.
Chapter Tests 411
CHAPTER 11 NAME
TEST FORM B
______________________________________________________________________________
18. Find the x– and y-intercepts of
2
235fx x x
.
19. Solve
2
forAr r
π
. Assume all variables are positive.
20. State whether the graph appears to represent a linear function, a
quadratic function, or neither.
21. Rocky’s Furniture, a manufacturer of coffee tables, estimates that
when x hundred coffee tables are made, the average cost per unit is
given by
2
0.6 4.8 10.82Cx x x
, where C is in hundreds of
dollars. What is the minimum cost per unit, and how many units
should be made to achieve that minimum?
22. Find the quadratic function that fits the data points (3, 0), (5, 0),
and (6, 4).
ANSWERS
18.
19.
20.
21.
22.
412 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 11 NAME
TEST FORM B
______________________________________________________________________________
ANSWERS
23.
24.
25.
26.
Solve.
23.
2
215xx
t 24.
40xx
25. One solution of
2
40kx x k
is –2. Find the other solution.
26. Find a fourth-degree polynomial equation, with integer
coefficients, for which 5 and
6i
are solutions.
Chapter Tests 413
CHAPTER 11 NAME
TEST FORM C CLASS_____SCORE_____GRADE
______________________________________________________________________________
Solve.
1.
2
64 7 0x
2.
736550xx xx
3.
2
570xx
4.
2
26xx
5.
21
4
9
xx
6. Solve
2
33xx
, using a calculator to approximate the solutions
with rational numbers to three decimal places.
7. Let
2
21 19 12fx x x
. Find
x
such that
0fx
.
Replace the blanks with constants to form a true equation.
8.
2
2
20xx x
9.
2
2
4
5
xx x
10. Solve by completing the square. Show your work.
2
14 37 0xx
11. Determine the type of number that the solutions of
2
8150xx
will be.
12. Write a quadratic equation having solutions 7 and 7.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
414 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 11 NAME
TEST FORM C
______________________________________________________________________________
ANSWERS
13.
14.
15.
16. a–c) See graph.
d)
17. a)
b) See graph.
Solve.
13. The Spaz River flows at a rate of 5 km/h. In order for a boat to
travel 30 km upriver and then return in a total of 8 hr, how fast
must the boat travel in still water?
14. Katherine and Spencer can weed the garden in 35 minutes.
Working alone, it takes Spencer 24 minutes longer than Katherine
to weed the garden. How long would it take for Katherine to do
this job by herself
?
15. Find all x-intercepts of the graph of
42
( ) 21 100fx x x .
16. a) Graph
2
312fx x .
b) Label the vertex.
c) Draw the axis of symmetry.
d) Find the maximum or the
minimum function value.
17. For the function
2
221fx x x
:
a) find the vertex and the axis
of symmetry;
b) graph the function.
Chapter Tests 415
CHAPTER 11 NAME
TEST FORM C
______________________________________________________________________________
18. Find the x– and y-intercepts of
2
224fx x x
.
19. Solve
2
for
GMm
Fr
r
. Assume all variables are positive.
20. State whether the graph appears to represent a linear function, a
quadratic function, or neither. (Source: https://irma.nps.gov/stats)
21. Beaudry’s Garden Supply, a manufacturer of garden trellises,
estimates that when x hundred trellises are made, the average cost
per unit is given by
2
0.4 2.64 5.816Cx x x
, where C is in
hundreds of dollars. What is the minimum cost per unit, and how
many units should be made to achieve that minimum?
22. Find the quadratic function that fits the data points (–5, 0), (2, 0),
and (3, 4).
ANSWERS
18.
19.
20.
21.
22.
416 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 11 NAME
TEST FORM C
_____________________________________________________________________________
ANSWERS
23.
24.
25.
26.
Solve.
23.
2
318xxd
24.
20xx
!
25. One solution of
2
70kx x k
is –3. Find the other solution.
26. Find a fourth-degree polynomial equation, with integer
coefficients, for which 3 and
6i
are solutions.
Chapter Tests 417
CHAPTER 11 NAME
TEST FORM D CLASS_____SCORE_____GRADE
______________________________________________________________________________
Solve.
1.
2
25 11 0x
2.
8472360xx xx
3.
2
240xx
4.
2
25xx
5.
21
44xx
6. Solve
2
37xx
, using a calculator to approximate the solutions
with rational numbers to three decimal places.
7. Let
2
15 13 6fx x x
. Find
x
such that
0fx
.
Replace the blanks with constants to form a true equation.
8.
2
2
14xx x
9.
2
2
8
3
xx x
10. Solve by completing the square. Show your work.
2
16 36 0xx
11. Determine the type of number that the solutions of
2
12 9 0xx
will be.
12. Write a quadratic equation having solutions
2
and
2
.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
418 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 11 NAME
TEST FORM D
______________________________________________________________________________
ANSWERS
13.
14.
15.
16. a–c) See graph.
d)
17. a)
b) See graph.
Solve.
13. The Lawrence River flows at a rate of 4 km/h. In order for a boat
to travel 33.6 km upriver and then return in a total of 8 hr, how fast
must the boat travel in still water?
14. Jean Paul and Maurice can bake a dozen loaves of bread in 3 hours.
Working alone, it takes Maurice 2.5 hours longer than Jean Paul to
bake this much bread. How long would it take for Jean Paul to
bake the bread by himself
?
15. Find all x-intercepts of the graph of
42
16 225fx x x
.
16. a) Graph
2
323fx x .
b) Label the vertex.
c) Draw the axis of symmetry.
d) Find the maximum or the
minimum function value.
17. For the function
2
222fx x x
:
a) find the vertex and the axis
of symmetry;
b) graph the function.
Chapter Tests 419
CHAPTER 11 NAME
TEST FORM D
______________________________________________________________________________
18. Find the x– and y-intercepts of
2
72fx x x
.
19. Solve
2
1for
2
Kmv v
. Assume all variables are positive.
20. State whether the graph appears to represent a linear function, a
quadratic function, or neither.
21. The Green Monster, a manufacturer of garden carts, estimates that
when x hundred carts are made, the average cost per unit is given
by
2
0.5 3.9 8.905Cx x x
, where C is in hundreds of dollars.
What is the minimum cost per unit, and how many units should be
made to achieve that minimum?
22. Find the quadratic function that fits the data points (1, 0), (4, 0),
and (7, 3).
ANSWERS
18.
19.
20.
21.
22.
420 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 11 NAME
TEST FORM D
______________________________________________________________________________
ANSWERS
23.
24.
25.
26.
Solve.
23.
2
514xxd
24.
40xx
!
25. One solution of
2
70kx x k
is 4. Find the other solution.
26. Find a fourth-degree polynomial equation, with integer
coefficients, for which 6 and
5i
are solutions.
Chapter Tests 421
CHAPTER 11 NAME
TEST FORM E CLASS_____SCORE_____GRADE
______________________________________________________________________________
Solve.
1.
2
36 7 0x
2.
6 2 5 3 140xx xx
3.
2
30xx
4.
2
49xx
5.
21
6xx
6. Solve
2
71xx
, using a calculator to approximate the solutions
with rational numbers to three decimal places.
7. Let
2
8221fx x x
. Find
x
such that
0fx
.
Replace the blanks with constants to form a true equation.
8.
2
2
12xx x
9.
2
2
8
9
xx x
10. Solve by completing the square. Show your work.
2
12 18 0xx
11. Determine the type of number that the solutions of
2
11 18 0xx
will be.
12. Write a quadratic equation having solutions 3 and 3.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
422 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 11 NAME
TEST FORM E
______________________________________________________________________________
ANSWERS
13.
14.
15.
16. a–c) See graph.
d)
17. a)
b) See graph.
Solve.
13. The Deerfield River flows at a rate of 2 km/h. In order for a boat
to travel 38.4 km upriver and then return in a total of 8 hr, how fast
must the boat travel in still water?
14. Nisha and T’Mar can proofread a manuscript in 12 hours.
Working alone, it takes T’Mar 10 hours longer than Nisha to
proofread the same manuscript. How long would it take for Nisha
to do this job by herself
?
15. Find all x-intercepts of the graph of
42
15 16fx x x
.
16. a) Graph
2
214fx x .
b) Label the vertex.
c) Draw the axis of symmetry.
d) Find the maximum or the
minimum function value.
17. For the function
2
223fx x x
:
a) find the vertex and the axis
of symmetry;
b) graph the function.
Chapter Tests 423
CHAPTER 11 NAME
TEST FORM E
______________________________________________________________________________
18. Find the x– and y-intercepts of
2
30fx x x
.
19. Solve
222
forcab b . Assume all variables are positive.
20. State whether the graph appears to represent a linear function, a
quadratic function, or neither.
21. Finest Woodcraft, a manufacturer of bookcases, estimates that
when x hundred 3-shelf bookcases are made, the average cost per
unit is given by
2
0.25 1.8 4.62Cx x x
, where C is in
hundreds of dollars. What is the minimum cost per unit, and how
many units should be made to achieve that minimum?
22. Find the quadratic function that fits the data points
2, 0 ,
3, 0 ,
and
4, 1 .
ANSWERS
18.
19.
20.
21.
22.
424 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 11 NAME
TEST FORM E
______________________________________________________________________________
ANSWERS
23.
24.
25.
26.
Solve.
23.
2
10 16xxt
24.
50xx
_
25. One solution of
2
50kx x k
is –2. Find the other solution.
26. Find a fourth-degree polynomial equation, with integer
coefficients, for which 7 and
4i
are solutions.
Chapter Tests 425
CHAPTER 11 NAME
TEST FORM F CLASS_____SCORE_____GRADE
______________________________________________________________________________
Solve.
1.
2
81 10 0x
2.
423240xx xx
3.
2
260xx
4.
2
610xx
5.
21
12xx
6. Solve
2
55xx
, using a calculator to approximate the solutions
with rational numbers to three decimal places.
7. Let
2
15 2 8fx x x
. Find
x
such that
0fx
.
Replace the blanks with constants to form a true equation.
8.
2
2
6xx x
9.
2
2
8
7
xx x
10. Solve by completing the square. Show your work.
2
830xx
11. Determine the type of number that the solutions of
2
780xx
will be.
12. Write a quadratic equation having solutions 13 and 13 .
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
426 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 11 NAME
TEST FORM F
______________________________________________________________________________
ANSWERS
13.
14.
15.
16. a–c) See graph.
d)
17. a)
b) See graph.
Solve.
13. The Rat River flows at a rate of 5 km/h. In order for a boat to
travel 75 km upriver and then return in a total of 8 hr, how fast
must the boat travel in still water?
14. Gunther and Gerta can peel a bushel of potatoes in 48 minutes.
Working alone, it takes Gerta 28 minutes longer than Gunther to
peel the potatoes. How long would it take for Gunther to do this
job by himself
?
15. Find all x-intercepts of the graph of
42
24 25fx x x
.
16. a) Graph
2
323fx x .
b) Label the vertex.
c) Draw the axis of symmetry.
d) Find the maximum or the
minimum function value.
17. For the function
2
23fx x x
:
a) find the vertex and the axis
of symmetry;
b) graph the function.
Chapter Tests 427
CHAPTER 11 NAME
TEST FORM F
______________________________________________________________________________
18. Find the x– and y-intercepts of
2
42fx x x
.
19. Solve
2
2
1for
2
v
KmR
R
§·
¨¸
©¹
. Assume all variables are positive.
20. State whether the graph appears to represent a linear function, a
quadratic function, or neither. (Source: https://irma.nps.gov/stats)
21. Safe-T Sure, a manufacturer of emergency equipment, estimates
that when x hundred deluxe emergency radios are made, the
average cost per unit is given by
2
0.3 1.8 4.24Cx x x
,
where C is in hundreds of dollars. What is the minimum cost per
unit, and how many units should be made to achieve that
minimum?
22. Find the quadratic function that fits the data points
3, 0 ,
4, 0 ,
and
2, 2 .
ANSWERS
18.
19.
20.
21.
22.
428 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 11 NAME
TEST FORM F
______________________________________________________________________________
ANSWERS
23.
24.
25.
26.
Solve.
23.
2
56xxd
24.
50xx
!
25. One solution of
2
40kx x k
is 2. Find the other solution.
26. Find a fourth-degree polynomial equation, with integer
coefficients, for which 7 and
3i
are solutions.
Chapter Tests 429
CHAPTER 11 NAME
TEST FORM G CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Solve:
2
25 3 0x
.
a) 5
3
r b)
3
5
r
c)
53
3
r
d)
3
10
r
2. Solve:
552490
xx xx
.
a) 5, 18 b) 5, 10 c) 5, 6 d) 4, 5
3. Solve:
2
630
xx
.
a) 626r b) 326r c) 36r d) 326r
4. Solve:
2
58
xx
.
a)
57
22
ir
b)
557
22
r
c) 57ir d)
57
22
r
5. Solve:
21
5
6
xx
.
a)
439
55
r
b)
529
22
r
c)
339
55
r
d)
226
55
r
6. Solve:
2
95xx
. Use a calculator to approximate the solutions
with rational numbers.
a) –8.405, –0.595 b) –0.525, 9.525
c) –19.050, 1.050 d) –9.525, 0.525
7. Let
2
12 7 10fx x x
. Find
x
such that
0fx
.
a)
45
,
53
b)
52
,
43
c)
25
,
53
d)
52
,
33
ANSWERS
1.
2.
3.
4.
5.
6.
7.
430 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 11 NAME
TEST FORM G
______________________________________________________________________________
8. Complete the square:
2
10xx
. Which of the following is
the correct perfect-square trinomial?
a)
2
10 25xx
b)
2
10 100xx
c)
2
10 400xx
d)
2
10 25xx
9. Determine the type of number that the solutions of
2
680xx
will be.
a) no solution b) imaginary c) rational d) irrational
10. Which of the following quadratic equations has 7 and 7 as
solutions?
a)
2
70x
b)
2
70x
c)
2
49 0x
d)
2
49 0x
11. The Mad River flows at a rate of 3 km/h. In order for a boat to
travel 78.2 km upriver and then return in a total of 8 hr, how fast
must the boat travel in still water?
a) 16.5 km/h b) 10 km/h c) 20 km/h d) 13 km/h
12. Laura and Jacob can tile a bathroom in
3
84
hours. Working alone,
it takes Jacob 6 hours longer than Laura to tile this bathroom. How
long would it take for Laura to tile the bathroom by herself
?
a) 18 hours b) 21 hours c) 15 hours d)
1
16 2
hours
13. Which of the following points is an x-intercept of the graph of
42
718fx x x
?
a)
3, 0
b)
2, 0
c)
0, 2 d)
2, 0
ANSWERS
8.
9.
10.
11.
12.
13.
Chapter Tests 431
CHAPTER 11 NAME
TEST FORM G
______________________________________________________________________________
14. Graph
2
231fx x x
.
a)
b)
c)
d)
15. Find the y-intercept of
2
654fx x x
.
a)
4, 0
b)
4,0
3
§·
¨¸
©¹
c)
1
0, 2
§·
¨¸
©¹
d)
0, 4
16. Solve
2
12
21
vm
vm
§·
¨¸
©¹
for
2
v. Assume all variables are positive.
a)
2
21
1
m
vv
m
b)
12
2
1
vm
vm
c)
2
1
21
2
m
vv
m
§·
¨¸
©¹
d)
1
21
2
m
vv
m
ANSWERS
14.
15.
16.
432 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 11 NAME
TEST FORM G
______________________________________________________________________________
17. Finest Woodcraft, a manufacturer of home furniture, estimates that
when
x
hundred dining room chairs are made, the average cost per
unit is given by
2
0.3 2.94 8.183Cx x x
, where
C
is in
hundreds of dollars. What is the minimum cost per unit?
a) $106 b) $98 c) $10.60 d) $0.98
18. Find the quadratic function that fits the data points
0, 3 ,
5, 0 ,
and
1, 2
.
a)
2
111
3
10 10
fx x x
b)
2
115
2
44
fx x x
c)
2
3fx x x
d)
2
611
1
55
fx x x
19. Solve:
2
235xxt
.
a)
>
@
7, 5
b)
,7 5,f f
c)
@
>
,5 7,f f
d)
@
>
,7 5,f f
20. Solve:
20
xx
.
a)
,2 0,2f b)
0, 2
c)
0, f
d)
,0f
21. One solution of
2
60kx x k
is
3
. Find the other solution.
a)
1
3
b)
2
3
c)
1
3
d)
2
3
22. Find a fourth-degree polynomial equation with integer coefficients
for which 7 and
4i
are solutions.
a)
42
23 112 0xx
b)
42
9 112 0xx
c)
42
33 784 0xx
d)
42
3280xx
ANSWERS
17.
18.
19.
20.
21.
22.
Chapter Tests 433
CHAPTER 11 NAME
TEST FORM H CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Solve:
2
36 7 0x
.
a)
7
6
r
b) 6
7
r c)
67
7
r
d)
7
24
r
2. Solve:
352490xx xx
.
a) 5, 18 b) 5, 10 c) 5, 6 d) 4, 5
3. Solve:
2
420xx
.
a)
422r
b)
22r
c)
222r
d)
22r
4. Solve:
2
39xx
.
a)
335
22
r
b) 333ir c)
333
22
r
d)
333
22
ir
5. Solve:
21
4
9
xx
.
a)
3,3
4
b)
14
,
33
c)
41
,
33
d)
3
3, 4
6. Solve:
2
61xx
. Use a calculator to approximate the solutions
with rational numbers.
a) –5.828, –0.172 b) –12.325, 0.325
c) –6.162, 0.162 d) –0.162, 6.162
7. Let
2
15 19 10fx x x
. Find
x
such that
0fx
.
a)
45
,
53
b)
52
,
43
c)
25
,
53
d)
52
,
33
ANSWERS
1.
2.
3.
4.
5.
6.
7.
434 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 11 NAME
TEST FORM H
______________________________________________________________________________
8. Complete the square:
2
6xx
. Which of the following is
the correct perfect-square trinomial?
a)
2
69xx
b)
2
6 144xx
c)
2
636xx
d)
2
69xx
9. Determine the type of number that the solutions of
2
530xx
will be.
a) no solution b) imaginary c) rational d) irrational
10. Which of the following quadratic equations has 5 and 5 as
solutions?
a)
2
50x
b)
2
50x
c)
2
25 0x
d)
2
25 0x
11. The Mad River flows at a rate of 2 km/h. In order for a boat to
travel 79.2 km upriver and then return in a total of 8 hr, how fast
must the boat travel in still water?
a) 16.5 km/h b) 10 km/h c) 14 km/h d) 20 km/h
12. Grace and Bob can assemble a table in 50 minutes. Working
alone, it takes Bob 75 minutes longer than Grace to put this table
together. How long would it take for Grace to assemble the table
by herself
?
a) 75 min b) 25 min c) 125 min d) 62.5 min
13. Which of the following points is an x-intercept of the graph of
42
328fx x x
?
a)
0, 7 b)
2, 0
c)
7, 0 d)
7, 0
ANSWERS
8.
9.
10.
11.
12.
13.
Chapter Tests 435
CHAPTER 11 NAME
TEST FORM H
______________________________________________________________________________
14. Graph
2
232fx x x
.
a)
b)
c)
d)
15. Find the y-intercept of
2
61110fx x x
.
a)
5,0
3
§·
¨¸
©¹
b)
0, 10
c)
2
0, 3
§·
¨¸
©¹
d)
10, 0
16. Solve
22
va
wra
for
a
.
a)
2
wr
av
b)
22
wr v
av
c)
222
4
2
vv wr
aw
r
d)
222
4vv wr
aw
r
ANSWERS
14.
15.
16.
436 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 11 NAME
TEST FORM H
______________________________________________________________________________
17. Finest Woodcraft, a manufacturer of home decor products, estimates
that when
x
hundred 2-shelf wall hangings are made, the average
cost per unit is given by
2
0.4 3.68 9.524Cx x x
, where
C
is
in hundreds of dollars. What is the minimum cost per unit?
a) $106 b) $98 c) $10.60 d) $0.98
18. Find the quadratic function that fits the data points
0, 4
,
3, 0
,
and
1, 3
.
a)
2
15
4
66
fx x x
b)
2
75
4
12 12
fx x x
c)
2
4fx x x
d)
2
713
4
66
fx x x
19. Solve:
2
432xxd
.
a)
@
>
,8 4,f f
b)
>
@
4, 8
c)
>
@
8, 4
d)
@
>
,4 8,f f
20. Solve:
30
xx
.
a)
,3 0,3f b)
0, 3
c)
0, f
d)
,0f
21. One solution of
2
60kx x k
is 3. Find the other solution.
a)
1
3
b)
2
3
c)
1
3
d)
2
3
22. Find a fourth-degree polynomial equation with integer coefficients
for which 5 and
3i
are solutions.
a)
42
14 45 0xx
b)
42
14 45 0xx
c)
42
16 225 0xx
d)
42
4450xx
ANSWERS
17.
18.
19.
20.
21.
22.
Chapter Tests 437
CHAPTER 12 NAME
TEST FORM A CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Find
fgx
D
and
gfx
D
if
2
2fx x x
and
23gx x
.
2. If
2
35hx x
, find
fx
and
gx
such that
hx f g x
D
. Answers may vary.
3. Determine whether
2
2fx x is one-to-one.
Find a formula for the inverse of each function.
4.
27fx x
5.
3
71gx x
Graph.
6.
32
x
fx
7.
4
loggx x
Simplify.
8.
8
log 64 9.
81
log 3
10. log
t
t 11.
82
log 1
ANSWERS
1.
2.
3.
4.
5.
6. See graph.
7. See graph.
8.
9.
10.
11.
438 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 12 NAME
TEST FORM A
______________________________________________________________________________
ANSWERS
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
12. Rewrite as an equivalent logarithmic equation:
4
1
381
.
13. Rewrite as an equivalent exponential equation:
2
log 8m .
14. Express as an equivalent expression using the individual
logarithms of a, b, and c:
43
12
log ab
c.
15. Express as a single logarithm:
11
log log
32
aa
xz
.
Given log 4 1.386
a
, log 5 1.609
a
, and log 12 2.485
a
, find each
of the following.
16. log 3
a
17. log 20
a
18. log 16
a
Use a calculator to find each of the following to four decimal places.
19. log18 20.
0.2
10
21.
ln 3.5
22.
2.5
e
Chapter Tests 439
CHAPTER 12 NAME
TEST FORM A
______________________________________________________________________________
23. Find
2
log 14 using the change-of-base formula. Round to four
decimal places.
State the domain and the range of each function.
24.
2
x
fx e
25.
ln 3
gx x
Solve. Where appropriate, include the approximation to four decimal
places.
26.
1
5625
x
27.
81
1
log 2
x
28.
log 4
x 29.
85.2
x
30.
log 4 log 2 log 7
xx
31. The average walking speed R of people living in a city of
population P, in thousands, is given by
0.37 ln 0.05RP
, where
R is in feet per second.
a) The population of a city is 495,820. Find the average walking
speed.
b) A city’s average walking speed is 2.30 ft/sec. Find the
population.
32. The population of Charlestown was about 32,000 in 2013, and the
exponential growth rate was 1.2% per year.
a) Write an exponential function describing the population of
Charlestown.
b) What will the population be in 2020?
c) When will the population be 40,000?
d) What is the doubling time?
ANSWERS
23.
24.
25.
26.
27.
28.
29.
30.
31. a)
b)
32. a)
b)
c)
d)
440 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 12 NAME
TEST FORM A
ANSWERS
33. a)
b)
c)
34.
35.
36.
37.
33. On Monday, Sydney began monitoring the size of a bacteria
colony. She noted that the mass of the colony grew exponentially
from 0.8 grams at 8 a.m. to 3.4 grams at 2 p.m.
a) Find the value for k to two decimal places and write an
exponential function that estimates the mass M of the bacteria
colony t hours after 8 a.m. Monday. Use this function for
parts b) and c).
b) What will the mass be at 5 p.m. Monday?
c) To the nearest hour, at what time will the mass of the growing
colony reach 12 grams?
34. An investment with interest compounded continuously doubled
itself in 12 years. What is the interest rate?
35. The hydrogen ion concentration of a liquid is
5
410
u
moles per
liter. What is the pH?
Use pH log H .
ªº
¬¼
36. Solve:
5
log 2 9 4x
.
37. If log 2
a
x , log 3
a
y , and log 4
a
z , then find
21
3
log
a
xz
yz
.
Chapter Tests 441
CHAPTER 12 NAME
TEST FORM B CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Find
fgx
D
and
gfx
D
if
2
fx x x
and
32gx x
.
2. If
2
2
4
hx x
, find
fx
and
gx
such that
hx f g x
D
. Answers may vary.
3. Determine whether
2
fx x
is one-to-one.
Find a formula for the inverse of each function.
4.
23fx x
5.
3
73gx x
Graph.
6.
22
x
fx
7.
6
loggx x
Simplify.
8.
5
log 125 9.
16
log 2
10. log
m
m 11. log 1
b
ANSWERS
1.
2.
3.
4.
5.
6. See graph.
7. See graph.
8.
9.
10.
11.
442 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 12 NAME
TEST FORM B
______________________________________________________________________________
ANSWERS
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
12. Rewrite as an equivalent logarithmic equation:
4
1
216
.
13. Rewrite as an equivalent exponential equation:
6
log 36n .
14. Express as an equivalent expression using the individual
logarithms of a, b, and c:
12
3
log ab
c.
15. Express as a single logarithm:
1log 4 log
2
aa
xz
.
Given log 8 2.079
a
, log 5 1.609
a
, and log 3 1.099
a
, find each of
the following.
16.
8
log 5
a
17. log 40
a
18. log 9
a
Use a calculator to find each of the following to four decimal places.
19.
log 0.5
20.
1.2
10
21.
ln 200
22.
2.2
e
Chapter Tests 443
CHAPTER 12 NAME
TEST FORM B
______________________________________________________________________________
23. Find
100
log 40 using the change-of-base formula. Round to four
decimal places.
State the domain and the range of each function.
24.
3
x
fx e
25.
ln 1gx x
Solve. Where appropriate, include the approximation to four decimal
places.
26.
1
10 1000
x
27.
4
log 3x
28.
log 2x
29.
96.2
x
30.
log 4 log 1 log 6xx
31. The average walking speed R of people living in a city of
population P, in thousands, is given by
0.37 ln 0.05RP
, where
R is in feet per second.
a) The population of a city is 395,790. Find the average walking
speed.
b) A city’s average walking speed is 2.70 ft/sec. Find the
population.
32. The population of Endicott was about 8500 in 2013, and the
exponential growth rate was 2.8% per year.
a) Write an exponential function describing the population of
Endicott.
b) What will the population be in 2020?
c) When will the population be 12,000?
d) What is the doubling time?
ANSWERS
23.
24.
25.
26.
27.
28.
29.
30.
31. a)
b)
32. a)
b)
c)
d)
444 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 12 NAME
TEST FORM B
ANSWERS
33. a)
b)
c)
34.
35.
36.
37.
33. On Monday, Max began monitoring the size of a bacteria colony.
He noted that the mass of the colony grew exponentially from
4.8 grams at 8 a.m. to 10.4 grams at 2 p.m.
a) Find the value for k to two decimal places and write an
exponential function that estimates the mass M of the bacteria
colony t hours after 8 a.m. Monday. Use this function for
parts b) and c).
b) What will the mass be at 5 p.m. Monday?
c) To the nearest hour, at what time will the mass of the growing
colony reach 20 grams?
34. An investment with interest compounded continuously doubled
itself in 20 years. What is the interest rate?
35. The hydrogen ion concentration of a liquid is
7
8.5 10
u
moles per
liter. What is the pH?
Use pH log H .
ªº
¬¼
_________________________________________________________
36. Solve:
3
log 2 11 5x
.
37. If log 2
a
x , log 3
a
y , and log 4
a
z , then find
3
22
3
log
a
xyz
xz
.
Chapter Tests 445
CHAPTER 12 NAME
TEST FORM C CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Find
fgx
D
and
gfx
D
if
2
fx x x
and
23gx x
.
2. If
2
5hx x
, find
fx
and
gx
such that
hx f g x
D
. Answers may vary.
3. Determine whether
3
3fx x
is one-to-one.
Find a formula for the inverse of each function.
4.
5fx x
5.
5
3gx x
Graph.
6.
34
x
fx
7.
2
loggx x
Simplify.
8.
5
log 125 9.
625
log 5
10. log
r
r 11. log 1
e
ANSWERS
1.
2.
3.
4.
5.
6. See graph.
7. See graph.
8.
9.
10.
11.
446 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 12 NAME
TEST FORM C
______________________________________________________________________________
ANSWERS
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
12. Rewrite as an equivalent logarithmic equation:
4
1
381
.
13. Rewrite as an equivalent exponential equation:
9
log 81n .
14. Express as an equivalent expression using the individual
logarithms of a, b, and c:
312
5
log ab
c.
15. Express as a single logarithm:
1log 3log
4
aa
xz
.
Given log 8 2.079
a
, log 5 1.609
a
, and log 3 1.099
a
, find each of
the following.
16.
8
log 3
a
17. log 24
a
18. log 25
a
Use a calculator to find each of the following to four decimal places.
19.
log 150
20.
2.5
10
21. ln 40 22.
3.1
e
Chapter Tests 447
CHAPTER 12 NAME
TEST FORM C
23. Find
5
log 10 using the change-of-base formula. Round to four
decimal places.
State the domain and the range of each function.
24.
1
x
fx e
25.
ln 2 1gx x
Solve. Where appropriate, include the approximation to four decimal
places.
26.
1
464
x
27.
125
1
log 3
x
28.
log 2x
29.
22.6
x
30.
log 4 log 4 log 4xx
31. The average walking speed R of people living in a city of
population P, in thousands, is given by
0.37 ln 0.05RP
, where
R is in feet per second.
a) The population of a city is 38,450. Find the average walking
speed.
b) A city’s average walking speed is 2.10 ft/sec. Find the
population.
32. The population of Cornwall was about 58,000 in 2013, and the
exponential growth rate was 0.8% per year.
a) Write an exponential function describing the population of
Cornwall.
b) What will the population be in 2025?
c) When will the population be 60,000?
d) What is the doubling time?
ANSWERS
23.
24.
25.
26.
27.
28.
29.
30.
31. a)
b)
32. a)
b)
c)
d)
448 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 12 NAME
TEST FORM C
ANSWERS
33. a)
b)
c)
34.
35.
36.
37.
33. On Monday, Field began monitoring the size of a bacteria colony.
She noted that the mass of the colony grew exponentially from
3.5 grams at 8 a.m. to 9.0 grams at 2 p.m.
a) Find the value for k to two decimal places and write an
exponential function that estimates the mass M of the bacteria
colony t hours after 8 a.m. Monday. Use this function for
parts b) and c).
b) What will the mass be at 5 p.m. Monday?
c) To the nearest hour, at what time will the mass of the growing
colony reach 20 grams?
34. An investment with interest compounded continuously doubled
itself in 14 years. What is the interest rate?
35. The hydrogen ion concentration of a liquid is
5
3.5 10
u
moles per
liter. What is the pH?
Use pH log H .
ªº
¬¼
36. Solve:
5
log 2 3 3x
.
37. If log 2
a
x , log 3
a
y , and log 4
a
z , then find
2
3
log
a
xz
zy
.
Chapter Tests 449
CHAPTER 12 NAME
TEST FORM D CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Find
fgx
D
and
gfx
D
if
2
2fx x x
and
32gx x
.
2. If
2
2
24
24
x
hx x
, find
fx
and
gx
such that
hx f g x
D
. Answers may vary.
3. Determine whether
10fx x
is one-to-one.
Find a formula for the inverse of each function.
4.
31fx x
5.
3
58 2gx x
Graph.
6.
22
x
fx
7.
7
loggx x
Simplify.
8.
3
log 27 9.
125
log 5
10.
log
g
g
11. log 1
c
ANSWERS
1.
2.
3.
4.
5.
6. See graph.
7. See graph.
8.
9.
10.
11.
450 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 12 NAME
TEST FORM D
______________________________________________________________________________
ANSWERS
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
12. Rewrite as an equivalent logarithmic equation:
3
1
5125
.
13. Rewrite as an equivalent exponential equation:
5
log 25h .
14. Express as an equivalent expression using the individual
logarithms of a, b, and c:
212
4
log bc
a.
15. Express as a single logarithm:
1log 4 log
3
aa
xz
.
Given log 12 2.485
a
, log 5 1.609
a
, and log 3 1.099
a
, find each of
the following.
16. log 4
a
17. log 15
a
18. log 9
a
Use a calculator to find each of the following to four decimal places.
19. log 25 20.
0.125
10
21.
ln 6.4
22.
4
e
Chapter Tests 451
CHAPTER 12 NAME
TEST FORM D
23. Find
3
log 12 using the change-of-base formula. Round to four
decimal places.
State the domain and the range of each function.
24.
2
x
fx e
25.
ln 1gx x
Solve. Where appropriate, include the approximation to four decimal
places.
26.
1
264
x
27.
16
1
log 2
x
28.
log 1x
29.
32.5
x
30.
log 3 log 3 log 6xx
31. The average walking speed R of people living in a city of
population P, in thousands, is given by
0.37 ln 0.05RP
, where
R is in feet per second.
a) The population of a city is 49,940. Find the average walking
speed.
b) A city’s average walking speed is 2.90 ft/sec. Find the
population.
32. The population of Salena was about 130,000 in 2013, and the
exponential growth rate was 3.5% per year.
a) Write an exponential function describing the population of
Salena.
b) What will the population be in 2025?
c) When will the population be 150,000?
d) What is the doubling time?
ANSWERS
23.
24.
25.
26.
27.
28.
29.
30.
31. a)
b)
32. a)
b)
c)
d)
452 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 12 NAME
TEST FORM D
ANSWERS
33. a)
b)
c)
34.
35.
36.
37.
33. On Monday, Kathy began monitoring the size of a bacteria
colony. She noted that the mass of the colony grew exponentially
from 1.5 grams at 8 a.m. to 8.2 grams at 2 p.m.
a) Find the value for k to two decimal places and write an
exponential function that estimates the mass M of the bacteria
colony t hours after 8 a.m. Monday. Use this function for
parts b) and c).
b) What will the mass be at 5 p.m. Monday?
c) To the nearest hour, at what time will the mass of the growing
colony reach 15 grams?
34. An investment with interest compounded continuously doubled
itself in 18 years. What is the interest rate?
35. The hydrogen ion concentration of a liquid is
7
510
u
moles per
liter. What is the pH?
Use pH log H .
ªº
¬¼
36. Solve:
4
log 2 8 2x
.
37. If log 2
a
x , log 3
a
y , and log 4
a
z , then find
2
3
11
log
a
yx
xz
.
Chapter Tests 453
CHAPTER 12 NAME
TEST FORM E CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Find
fgx
D
and
gfx
D
if
2
2fx x x
and
23gx x
.
2. If
3
3hx x
, find
fx
and
gx
such that
hx f g x
D
. Answers may vary.
3. Determine whether
fx x
is one-to-one.
Find a formula for the inverse of each function.
4.
47fx x
5.
3
5gx x
Graph.
6.
21
x
fx
7.
5
loggx x
Simplify.
8.
7
log 7 9.
64
log 4
10. log
n
n 11.
log 1
g
ANSWERS
1.
2.
3.
4.
5.
6. See graph.
7. See graph.
8.
9.
10.
11.
454 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 12 NAME
TEST FORM E
______________________________________________________________________________
ANSWERS
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
12. Rewrite as an equivalent logarithmic equation:
3
1
464
.
13. Rewrite as an equivalent exponential equation:
5
log 25m .
14. Express as an equivalent expression using the individual
logarithms of a, b, and c:
12 5
4
log ac
b.
15. Express as a single logarithm:
1log 4 log
3
aa
xz
.
Given log 8 2.079
a
, log 5 1.609
a
, and log 3 1.099
a
, find each of
the following.
16.
3
log 5
a
17. log 15
a
18. log 64
a
Use a calculator to find each of the following to four decimal places.
19.
log 8
20.
2.5
10
21. ln 0.4 22.
0.15
e
Chapter Tests 455
CHAPTER 12 NAME
TEST FORM E
23. Find
2
log 10 using the change-of-base formula. Round to four
decimal places.
State the domain and the range of each function.
24.
5
x
fx e
25.
ln 3gx x
Solve. Where appropriate, include the approximation to four decimal
places.
26.
1
381
x
27.
8
1
log 3
x
28.
log 3x
29.
63.2
x
30.
log 5 log 1 log 7xx
31. The average walking speed R of people living in a city of
population P, in thousands, is given by
0.37 ln 0.05RP
, where
R is in feet per second.
a) The population of a city is 555,450. Find the average walking
speed.
b) A city’s average walking speed is 2.50 ft/sec. Find the
population.
32. The population of Gove was about 800 in 2013, and the
exponential growth rate was 1.8% per year.
a) Write an exponential function describing the population of
Gove.
b) What will the population be in 2025?
c) When will the population be 2000?
d) What is the doubling rate?
ANSWERS
23.
24.
25.
26.
27.
28.
29.
30.
31. a)
b)
32. a)
b)
c)
d)
456 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 12 NAME
TEST FORM E
ANSWERS
33. a)
b)
c)
34.
35.
36.
37.
33. On Monday, Bronson began monitoring the size of a bacteria
colony. He noted that the mass of the colony grew exponentially
from 5 grams at 8 a.m. to 7.8 grams at 2 p.m.
a) Find the value for k to two decimal places and write an
exponential function that estimates the mass M of the bacteria
colony t hours after 8 a.m. Monday. Use this function for
parts b) and c).
b) What will the mass be at 5 p.m. Monday?
c) To the nearest hour, at what time will the mass of the growing
colony reach 10 grams?
34. An investment with interest compounded continuously doubled
itself in 16 years. What is the interest rate?
35. The hydrogen ion concentration of a liquid is
8
2.5 10
u
moles per
liter. What is the pH?
Use pH log H .
ªº
¬¼
36. Solve:
4
log 2 6 4x
.
37. If log 2
a
x , log 3
a
y , and log 4
a
z , then find
2
3
2
3
log
a
xz
yz
.
Chapter Tests 457
CHAPTER 12 NAME
TEST FORM F CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Find
fgx
D
and
gfx
D
if
2
2fx x x
and
32gx x
.
2. If
2
43 42hx x x , find
fx
and
gx
such that
hx f g x
D
. Answers may vary.
3. Determine whether
7fx x
is one-to-one.
Find a formula for the inverse of each function.
4.
6fx x
5.
3
74gx x
Graph.
6.
21
x
fx
7.
3
loggx x
Simplify.
8.
4
log 64 9.
32
log 2
10. log
s
s 11.
103
log 1
ANSWERS
1.
2.
3.
4.
5.
6. See graph.
7. See graph.
8.
9.
10.
11.
458 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 12 NAME
TEST FORM F
______________________________________________________________________________
ANSWERS
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
12. Rewrite as an equivalent logarithmic equation:
5
1
232
.
13. Rewrite as an equivalent exponential equation:
3
log 9m .
14. Express as an equivalent expression using the individual
logarithms of a, b, and c:
34 2
log ab
c.
15. Express as a single logarithm:
1log 5log
3
aa
xz
.
Given log 4 1.386
a
, log 5 1.609
a
, and log 6 1.792
a
, find each of
the following.
16.
4
log 5
a
17. log 120
a
18. log 36
a
Use a calculator to find each of the following to four decimal places.
19. log 84 20.
0.2
10
21.
ln 0.01
22.
2
e
Chapter Tests 459
CHAPTER 12 NAME
TEST FORM F
23. Find
8
log 5 using the change-of-base formula. Round to four
decimal places.
State the domain and the range of each function.
24.
2
x
fx e
25.
ln 2 1gx x
Solve. Where appropriate, include the approximation to four decimal
places.
26.
1
327
x
27.
16
1
log 4
x
28.
log 3x
29.
74.2
x
30.
log 2 log 2 log 2xx
31. The average walking speed R of people living in a city of
population P, in thousands, is given by
0.37 ln 0.05RP
, where
R is in feet per second.
a) The population of a city is 21,700. Find the average walking
speed.
b) A city’s average walking speed is 1.90 ft/sec. Find the
population.
32. The population of Quesa was about 190,000 in 2013, and the
exponential growth rate was 3.1% per year.
a) Write an exponential function describing the population of
Quesa.
b) What will the population be in 2020?
c) When will the population be 225,000?
d) What is the doubling rate?
ANSWERS
23.
24.
25.
26.
27.
28.
29.
30.
31. a)
b)
32. a)
b)
c)
d)
460 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 12 NAME
TEST FORM F
ANSWERS
33. a)
b)
c)
34.
35.
36.
37.
33. On Monday, Taylor began monitoring the size of a bacteria colony.
He noted that the mass of the colony grew exponentially from
4 grams at 8 a.m. to 6.5 grams at 2 p.m.
a) Find the value for k to two decimal places and write an
exponential function that estimates the mass M of the bacteria
colony t hours after 8 a.m. Monday. Use this function for
parts b) and c).
b) What will the mass be at 5 p.m. Monday?
c) To the nearest hour, at what time will the mass of the growing
colony reach 10 grams?
34. An investment with interest compounded continuously doubled
itself in 22 years. What is the interest rate?
35. The hydrogen ion concentration of a liquid is
6
1.4 10
u
moles per
liter. What is the pH?
Use pH log H .
ªº
¬¼
36. Solve:
6
log 2 4 3x
.
37. If log 2
a
x , log 3
a
y , and log 4
a
z , then find
22
3
log
a
xyz
xy
.
Chapter Tests 461
CHAPTER 12 NAME
TEST FORM G CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Find
fgx
D
if
2
fx x x
and
31gx x
.
a)
2
93fgx x x
D
b)
2
331fgx x x
D
c)
2
93fgx x x
D
d)
32
32fgx x x x
D
2. Find a formula for the inverse of
3
21
2
x
gx
§·
¨¸
©¹
.
a)
13
2 5gx x
b)
13
2 2 1gx x
c)
13
3 2 1gx x
d)
13
1
2
gx x
3. Which graph represents
32
x
fx
?
a) b)
c) d)
4. Simplify:
5
log 625 .
a) 125 b) –4 c) 4 d)
1
4
ANSWERS
1.
2.
3.
4.
462 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 12 NAME
TEST FORM G
______________________________________________________________________________
5. Simplify: log
w
w.
a) w b) –1 c) 0 d) 1
6. Simplify:
10,000
log 10
.
a) 4 b)
1
4
c)
1
1000
d)
4
7. Simplify: log 1
h
.
a) h b) 0 c) 1 d)
1
h
8. Write as an equivalent logarithmic equation:
2
1
416
.
a)
116
log 4 2
b)
2
1
log 4
16
c)
4
1
log 2
16
d)
4
log 2 16
9. Write as an equivalent exponential equation:
9
log 64m .
a)
38
m
b)
64
9
m
c)
964
m
d)
9
64
m
10. Express in terms of logarithms of a, b, and c:
2
log ba
c
.
a)
2 log log 2 logab c
b)
log log 2 log
ab c
c)
11
log log log
22
ab c
d)
1log log 2 log
2ab c
11. Express as a single logarithm:
1
4log log
3
aa
xz
.
a)
4
3
log
a
x
z
b)
4
log 1
3
a
x
z
c)
12 log
a
x
z
d)
43
log
a
xz
ANSWERS
5.
6.
7.
8.
9.
10.
11.
Chapter Tests 463
CHAPTER 12 NAME
TEST FORM G
______________________________________________________________________________
12. Use a calculator to find
ln 0.8
.
a) –0.0969 b) 2.2255 c) –0.2231 d) 0.2079
13. Use a calculator to find
3
log 8 .
a) –0.4260 b) 1.8928 c) 0.4260 d) 3.8170
14. Given log 4 1.386,
a
log 5 1.609,
a
and log 6 1.792,
a
find
log 30
a
.
a) 3.401 b) 2.883 c) 9.534 d) 1.477
15. What is the range of
3
x
fx e
?
a)
3,
f
b)
2,
f
c)
3,
f
d)
,3
f
16. What is the domain of
ln 2gx x
?
a)
2, 2
b)
2,
f
c)
2,
f
d)
0,
f
17. Solve:
1
3243
x
.
a) 5 b)
1
5
c)
1
81
d) –5
18. Solve:
8
1
log 3
x
.
a)
1
6561
b) 2 c) –6561 d) –2
19. Solve:
log 3x
.
a)
1000
b)
1
1000
c)
30
d) 59,049
20. Solve:
35.1
x
. Give exact answer in terms of common
logarithms.
a) log 5.1
log 3 b)
log 3
log 5.1 c)
5.1
log 3 d)
log1.7
ANSWERS
12.
13.
14.
15.
16.
17.
18.
19.
20.
464 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 12 NAME
TEST FORM G
______________________________________________________________________________
ANSWERS
21.
22.
23.
24.
25.
26.
27.
21. Solve:
log 6 log 3 log10xx
.
a)
4, 7
b) 4 c)
13
2
d) 7
22. The population in Malaysia in 2012 was estimated to be
29.2 million, and was growing exponentially by 1.54% per year.
When will Malaysia’s population reach 40 million?
(Source: cia.gov)
a) 2020 b) 2032 c) 2019 d) 2035
23. Use the information in Question 22 to estimate the population of
Malaysia in 2025.
a) 35.7 million b) 29.4 million
c) 48.9 million d) 36.2 million
24. The price of a gallon of fuel grew exponentially from $1.50 in
February to $3.25 in July. Find the exponential growth rate.
a) 19.3% per month b) 15.5% per month
c) 6.7% per month d) 43.3% per month
25. An investment with interest compounded continuously doubled
itself in 12 yr. What is the interest rate?
a) 8.32% b) 6.00% c) 2.51% d) 5.78%
26. Solve:
4
log 2 10 3x
.
a) –27, 37 b) –17, 10 c) –37, 27 d) –27, 27
27. If log 2,
a
x log 3,
a
y and log 4,
a
z then find
22
3
1
3
log
a
xy
xyz
.
a)
13
2
b)
4
3
c)
5
3
d)
5
13
Chapter Tests 465
CHAPTER 12 NAME
TEST FORM H CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Find
fgx
D
if
2
fx x x
and
45gx x
.
a)
2
445fgx x x
D
b)
32
45fgx x x x
D
c)
2
16 36 20fgx x x
D
d)
2
16 4 20fgx x x
D
2. Find a formula for the inverse of
3
5
2
x
gx
§·
¨¸
©¹
.
a)
13
2 5gx x
b)
13
2 2 1gx x
c)
13
3 2 1gx x
d)
13
35gx x
3. Which graph represents
21
x
fx
?
a) b)
c) d)
4. Simplify:
4
log 64 .
a) 16 b) 4 c) 2 d) 3
ANSWERS
1.
2.
3.
4.
466 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 12 NAME
TEST FORM H
______________________________________________________________________________
5. Simplify: log
u
u.
a) 0 b) –1 c) 1 d) u
6. Simplify:
8
log 2 .
a)
3
b)
1
4
c)
1
3
d) 3
7. Simplify: log 1
n
.
a) –1 b) 0 c) 1 d) n
8. Write as an equivalent logarithmic equation:
3
1
6216
.
a)
1216
log 3
b)
6
1
log 3
216
c)
6
1
log 216 3
d)
6
log 3 216
9. Write as an equivalent exponential equation:
8
log 81m .
a)
8
81m
b)
81
23
m
c)
81 8
m
d)
881
m
10. Express in terms of logarithms of a, b, and c:
2
3
log a
bc .
a)
2 log log 3logab c
b)
2log log 3logab c
c)
1
2 log log log
3
ab c
d)
1
2log log log
3
ab c
11. Express as a single logarithm:
1
2log log
2
aa
xz
.
a)
2
log
log
a
a
x
z
b)
2
log
a
x
z
c)
4log
a
x
z
d)
log
a
x
z
ANSWERS
5.
6.
7.
8.
9.
10.
11.
Chapter Tests 467
CHAPTER 12 NAME
TEST FORM H
______________________________________________________________________________
12. Use a calculator to find
13
e
.
a) 1.3956 b) –20.0855 c) –1.0986 d) 0.9061
13. Use a calculator to find
log 20
.
a) 2.9957 b) 485,165,195.4
c) 1.3010 d) 0.3010
14. Given log 4 1.386,
a
log 5 1.609,
a
and log 6 1.792,
a
find
log 36
a
.
a) 4.604 b) 3.584 c) 4.787 d) 3.218
15. What is the range of
2
x
fx e
?
a)
,
f f
b)
3,
f
c)
2,
f
d)
2,
f
16. What is the domain of
ln 1gx x
?
a)
1, 1
b)
1,
f
c)
1,
f
d)
,1
f
17. Solve:
1
4256
x
.
a) 4 b)
1
4
c) –4 d)
1
64
18. Solve:
400
1
log 2
x
.
a) 20 b) 200 c) –20 d) –800
19. Solve:
log 4x
.
a) 10,000 b)
40
c) 1,048,576 d) 1
10,000
20. Solve:
61.8
x
. Give the exact answer in terms of common
logarithms.
a)
log 0.3
b) log1.8
log 6 c)
log 6
log1.8 d)
1.8
log 6
ANSWERS
12.
13.
14.
15.
16.
17.
18.
19.
20.
468 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 12 NAME
TEST FORM H
______________________________________________________________________________
ANSWERS
21.
22.
23.
24.
25.
26.
27.
21. Solve:
log 1 log 1 log 3xx
.
a) 2 b) 15 c)
3
2
d) –2, 2
22. The population in India in 2012 was estimated to be 1.2 billion,
and was growing exponentially by 1.31% per year. When will
India’s population reach 2.0 billion? (Source: cia.gov)
a) 2029 b) 2016 c) 2073 d) 2051
23. Use the information in Question 22 to estimate the population of
India in 2025.
a) 1.5 billion b) 3.8 billion
c) 1.4 billion d) 1.8 billion
24. The price of a gallon of feed grew exponentially from $2.50 in
April to $4.25 in October. Find the exponential growth rate.
a) 7.6% per month b) 3.8% per month
c) 28.3% per month d) 8.8% per month
25. An investment with interest compounded continuously doubled
itself in 9 yr. What is the interest rate?
a) 4.50% b) 7.70% c) 3.34% d) 8.10%
26. Solve:
3
log 2 7 3x
.
a) –10, 10 b) –17, 10 c) –37, 27 d) 10, 17
27. If log 2,
a
x log 3,
a
y and log 4,
a
z then find
222
3
1
log
a
xyz
yz
.
a)
13
2
b)
4
3
c)
5
3
d)
5
13
Chapter Tests 469
CHAPTER 13 NAME
TEST FORM A CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Find an equation of the circle with center
2,5
and radius 65.
Find the center and the radius of each circle.
2.
22
649xy 3.
22
6440xy xy
Classify the equation as a circle, an ellipse, a parabola, or a hyperbola.
Then graph.
4.
2
2yx x 5.
22
2 8 16 0xy xy
6.
22
1
49
xy
7.
22
25 4 100xy
8. 3xy 9.
2
4xy y
ANSWERS
1.
2.
3.
4.
See graph.
5.
See graph.
6.
See graph.
7.
See graph.
8.
See graph.
9.
See graph.
470 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 13 NAME
TEST FORM A
______________________________________________________________________________
Solve.
10.
22
1,
16 25
54 20
xy
xy
11.
2
5,
35
xy
xy
12.
22
32,
15
xy
xy
13.
22
22
9,
5
xy
xy
14. A rectangle with diagonal of length 73 has an area of 24. Find
the dimensions of the rectangle.
15. Two squares are such that the sum of their areas is
2
6m
and the
difference of their areas is
2
6m .
Find the length of a side of each
square.
16. A rectangular field has a diagonal of length 13 m and a perimeter
of 34 m. Find the dimensions of the field.
17. Megan invested a certain amount of money for one year and
earned $375 in simple interest. N’Cole invested $2500 more at a
simple interest rate that was
3
4
of the rate given to Megan, but
earned the same amount of interest. Find Megan’s principal and
interest rate.
18. Find an equation of the ellipse passing through
1, 4
and
3, 4
with vertices at
1, 1
and
1, 9
.
19. The sum of two numbers is 20, and the product is 5. Find the sum
of the reciprocals of the numbers.
ANSWERS
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
Chapter Tests 471
CHAPTER 13 NAME
TEST FORM B CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Find an equation of the circle with center
3, 4
and radius 53.
Find the center and the radius of each circle.
2.
22
1725xy 3.
22
2620xy xy
Classify the equation as a circle, an ellipse, a parabola, or a hyperbola.
Then graph.
4.
2
54yx x 5.
22
6690xy xy
6.
22
1
416
xy
7.
22
36 9 144xy
8.
6
xy 9.
2
4xy y
ANSWERS
1.
2.
3.
4.
See graph.
5.
See graph.
6.
See graph.
7.
See graph.
8.
See graph.
9.
See graph.
472 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 13 NAME
TEST FORM B
______________________________________________________________________________
Solve.
10.
22
1,
916
4312
xy
xy
11.
2
15,
46
xy
xy
12.
22
39,
18
xy
xy
13.
22
22
7,
3
xy
xy
14. A rectangle with diagonal of length 65 has an area of 28. Find
the dimensions of the rectangle.
15. Two squares are such that the sum of their areas is
2
11 m
and the
difference of their areas is
2
7m .
Find the length of a side of each
square.
16. A rectangular field has a diagonal of length 17 m and a perimeter
of 46 m. Find the dimensions of the field.
17. Tasha invested a certain amount of money for one year and earned
$112 in simple interest. Joyce invested $400 more at a simple
interest rate that was
7
8
of the rate given to Tasha, but earned the
same amount of interest. Find Tasha’s principal and interest rate.
18. Find an equation of the ellipse passing through
2, 1
and
6, 1
with vertices at
4, 4
and
4, 6
.
19. The sum of two numbers is 18, and the product is 6. Find the sum
of the reciprocals of the numbers.
ANSWERS
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
Chapter Tests 473
CHAPTER 13 NAME
TEST FORM C CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Find an equation of the circle with center
2, 5
and radius
42
.
Find the center and the radius of each circle.
2.
22
6225xy 3.
22
4430xy xy
Classify the equation as a circle, an ellipse, a parabola, or a hyperbola.
Then graph.
4.
2
65yx x 5.
22
2410xy xy
6.
2
2
1
4
yx 7.
22
25 25xy
8.
4
xy 9.
2
66xy y
ANSWERS
1.
2.
3.
4.
See graph.
5.
See graph.
6.
See graph.
7.
See graph.
8.
See graph.
9.
See graph.
474 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 13 NAME
TEST FORM C
______________________________________________________________________________
Solve.
10.
22
1,
94
23 6
xy
xy
11.
2
1,
617
xy
xy
12.
22
71,
24
xy
xy
13.
22
22
5,
1
xy
xy
14. A rectangle with diagonal of length 106 has an area of 45. Find
the dimensions of the rectangle.
15. Two squares are such that the sum of their areas is
2
9m
and the
difference of their areas is
2
5m .
Find the length of a side of each
square.
16. A rectangular parking lot has a diagonal of length 25 m and a
perimeter of 62 m. Find the dimensions of the parking lot.
17. Lance invested a certain amount of money for one year and earned
$90 in simple interest. Kim invested $300 more at a simple
interest rate that was
5
6
of the rate given to Lance, but earned the
same amount of interest. Find Lance’s principal and interest rate.
18. Find an equation of the ellipse passing through
1, 3
and
5, 3
with vertices at
2, 1
and
2, 7
.
19. The sum of two numbers is 20, and the product is 4. Find the sum
of the reciprocal of the numbers.
ANSWERS
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
Chapter Tests 475
CHAPTER 13 NAME
TEST FORM D CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Find an equation of the circle with center
3, 2
and radius
62
.
Find the center and the radius of each circle.
2.
22
3616xy 3.
22
6430xy xy
Classify the equation as a circle, an ellipse, a parabola, or a hyperbola.
Then graph.
4.
2
43yx x 5.
22
2210xy xy
6.
22
1
425
xy
7.
22
16 25 400xy
8.
6
xy 9.
2
66xy y
ANSWERS
1.
2.
3.
4.
See graph.
5.
See graph.
6.
See graph.
7.
See graph.
8.
See graph.
9.
See graph.
476 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 13 NAME
TEST FORM D
______________________________________________________________________________
Solve.
10.
22
1,
425
52 10
xy
xy
11.
2
7,
39
xy
xy
12.
22
7,
12
xy
xy
13.
22
22
12,
4
xy
xy
14. A rectangle with diagonal of length 148 has an area of 24. Find
the dimensions of the rectangle.
15. Two squares are such that the sum of their areas is
2
6m
and the
difference of their areas is
2
4m .
Find the length of a side of each
square.
16. The floor of a warehouse is a rectangular with a diagonal of length
10 m and a perimeter of 28 m. Find the dimensions of the
rectangle.
17. Marcus invested a certain amount of money for one year and
earned $56 in simple interest. Pat invested $200 more at a simple
interest rate that was
7
8
of the rate given to Marcus, but earned the
same amount of interest. Find Marcus’ principal and interest rate.
18. Find an equation of the ellipse passing through
0, 2
and
6, 2
with vertices at
3, 2
and
3, 6
.
19. The sum of the two numbers is 10, and the product is 8. Find the
sum of the reciprocals of the numbers.
ANSWERS
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
Chapter Tests 477
CHAPTER 13 NAME
TEST FORM E CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Find an equation of the circle with center
6, 5
and radius 27.
Find the center and the radius of each circle.
2.
22
3816xy 3.
22
2810xy xy
Classify the equation as a circle, an ellipse, a parabola, or a hyperbola.
Then graph.
4.
2
54yx x 5.
22
2660xy xy
6.
2
2
1
4
xy 7.
22
99xy
8. 5xy 9.
2
2xy y
ANSWERS
1.
2.
3.
4.
See graph.
5.
See graph.
6.
See graph.
7.
See graph.
8.
See graph.
9.
See graph.
478 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 13 NAME
TEST FORM E
______________________________________________________________________________
Solve.
10.
22
1,
416
42 8
xy
xy
11.
2
8,
514
xy
xy
12.
22
413,
21
xy
xy
13.
22
22
8,
6
xy
xy
14. A rectangle with diagonal of length 136 has an area of 60. Find
the dimensions of the rectangle.
15. Two squares are such that the sum of their areas is
2
16 m
and the
difference of their areas is
2
6m .
Find the length of a side of each
square.
16. A rectangular parking lot has a diagonal of length and a perimeter
of 70 m. Find the dimensions of the parking lot.
17. Kevin invested a certain amount of money for one year and earned
$240 in simple interest. Diane invested $2000 more at a simple
interest rate that was
3
4
of the rate given to Kevin, but earned the
same amount of interest. Find Kevin’s principal and interest rate.
18. Find an equation of the ellipse passing through
4, 1
and
4, 3
with vertices at
1, 1
and
9, 1
.
19. The sum of two numbers is 12, and the product is 6. Find the sum
of the reciprocals of the numbers.
ANSWERS
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
Chapter Tests 479
CHAPTER 13 NAME
TEST FORM F CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Find an equation of the circle with center
3, 5
and radius
72
.
Find the center and the radius of each circle.
2.
22
379xy 3.
22
4240xy xy
Classify the equation as a circle, an ellipse, a parabola, or a hyperbola.
Then graph.
4.
2
65yx x 5.
22
6 8 21 0xy xy
6.
22
1
44
yx
7.
22
9 16 144xy
8. 5xy 9.
2
2xy y
ANSWERS
1.
2.
3.
4.
See graph.
5.
See graph.
6.
See graph.
7.
See graph.
8.
See graph.
9.
See graph.
480 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 13 NAME
TEST FORM F
______________________________________________________________________________
Solve.
10.
22
1,
25 9
3515
xy
xy
11.
2
23,
317
xy
xy
12.
22
27,
20
xy
xy
13.
22
22
16,
6
xy
xy
14. A rectangle with diagonal of length 117 has an area of 54. Find
the dimensions of the rectangle.
15. Two squares are such that the sum of their areas is
2
5m
and the
difference of their areas is
2
1m .
Find the length of a side of each
square.
16. A rectangular lot has a diagonal of length 26 m and a perimeter of
68 m. Find the dimensions of the lot.
17. Chad invested a certain amount of money for one year and earned
$90 in simple interest. Gwen invested $500 more at a simple
interest rate that was
3
4
of the rate given to Chad, but earned the
same amount of interest. Find Chad’s principal and interest rate.
18. Find an equation of the ellipse passing through (1, 2) and (1, 6)
with vertices at (–4, 4) and (6, 4).
19. The sum of two numbers is 40, and the product is 5. Find the sum
of the reciprocals of the numbers.
ANSWERS
10.
11.
12.
13.
14.
15.
16.
17.
18.
19.
Chapter Tests 481
CHAPTER 13 NAME
TEST FORM G CLASS_____SCORE_____GRADE_____
______________________________________________________________________________
1. Write an equation of a circle with center
3, 4
and radius 5.
a)
22
345xy b)
22
3425xy
c)
22
3 4 100xy d)
22
3425xy
Find the center and the radius of each circle.
2.
22
7616xy
a)
7, 6
; 8 b)
7, 6
; 4
c)
7, 6
; 8 d)
7, 6
; 4
3.
22
8420xy xy
a)
4, 2 ; 2 5
b)
4, 2 ; 3 2
c)
4, 2 ; 3 2
d)
4, 2 ; 9
Classify the equation as a circle, an ellipse, a parabola, or a hyperbola.
4.
2
6280xxy
a) parabola b) ellipse c) circle d) hyperbola
5.
22
510 40xy x y
a) ellipse b) hyperbola c) circle d) parabola
ANSWERS
1.
2.
3.
4.
5.
482 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 13 NAME
TEST FORM G
______________________________________________________________________________
6. Which is the graph of
22
1
49
xy
?
a) b)
c) d)
7. Which is the graph of
22
16 4 64xy ?
a) b)
c) d)
ANSWERS
6.
7.
Chapter Tests 483
CHAPTER 13 NAME
TEST FORM G
______________________________________________________________________________
8. Which equation corresponds
to the graph at right?
a) 4xy b)
22
4xy
c) 4xy d) 4xy
9. Which equation corresponds
to the graph at right?
a)
2
23yx x b)
2
23xy y
c)
2
23xy y d)
2
23xy y
10. Find one solution to the system:
22
1,
25 16
4 5 20.
xy
xy
a)
2, 0
b)
0, 4
c)
0, 5
d)
4, 0
11. Find one solution to the system:
2
4,
21.
xy
xy
a)
1, 3
b)
2, 5
c)
3, 5
d)
3, 5
12. Find one solution to the system:
22
22
9,
1.
92
xy
xy
a)
2, 0
b)
0, 3
c)
0, 2
d)
3, 0
ANSWERS
8.
9.
10.
11.
12.
484 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 13 NAME
TEST FORM G
______________________________________________________________________________
13. A rectangle with diagonal of length 4 10 has an area of 48. Find
the dimensions of the rectangle.
a) 4 by 12 b) 6 by 8 c) 24 by 2 d) 3 by 16
14. Two squares are such that the sum of their areas is
2
24 m
and the
difference of their areas is
2
6 m . Find the length of a side of each
square.
a) 15 m, 9 m b) 15 m, 9 m
c) 15 m, 3 m d) 35m,3m
15. A rectangular field has a diagonal of length 15 m and a perimeter
of 42 m. Find the larger dimension of the field.
a) 20 m b) 12 m c) 21 m d) 9 m
16. Ben invested a certain amount of money for one year and earned
$144 in simple interest. Calvin invested $800 more at a simple
interest rate that was
3
4
of the interest rate given to Ben, but
earned the same amount of interest. Find Ben’s principal and
interest rate.
a) $3200; 4.5% b) $2400; 6%
c) $800; 6% d) $3200; 6%
17. Find an equation of the ellipse passing through
3, 1
and
3, 5
with vertices at
1, 2
and
7, 2
.
a)
22
32
1
16 9
xy
b)
22
23
1
16 9
xy
c)
22
23
1
16 9
xy
d)
22
32
1
916
xy
18. The sum of two numbers is 24, and the product is 8. Find the sum
of the reciprocals of the numbers.
a) 6 b)
1
c) 24 d) 3
ANSWERS
13.
14.
15.
16.
17.
18.
Chapter Tests 485
CHAPTER 13 NAME
TEST FORM H CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Write an equation of a circle with center
2, 6
and radius 3.
a)
22
263xy b)
22
269xy
c)
22
269xy d)
22
2636xy
Find the center and the radius of each circle.
2.
22
7616xy
a)
7, 6
; 8 b)
7, 6
; 4
c)
7, 6
; 8 d)
7, 6
; 4
3.
22
6470xy xy
a)
3, 2 ; 10
b)
3, 2 ; 2 5
c)
3, 2 ; 2 5
d)
3, 2 ; 13
Classify the equation as a circle, an ellipse, a parabola, or a hyperbola.
4.
22
6440xy xy
a) ellipse b) parabola c) circle d) hyperbola
5.
22
36 4 100xy
a) ellipse b) circle c) hyperbola d) parabola
ANSWERS
1.
2.
3.
4.
5.
486 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 13 NAME
TEST FORM H
______________________________________________________________________________
6. Which is the graph of
2
2
1
9
xy ?
a) b)
c) d)
7. Which is the graph of
22
9 16 144xy ?
a) b)
c) d)
ANSWERS
6.
7.
Chapter Tests 487
CHAPTER 13 NAME
TEST FORM H
______________________________________________________________________________
8. Which equation corresponds
to the graph at right?
a)
22
6xy b) 6xy
c) 6xy d) 6xy
9. Which equation corresponds
to the graph at right?
a)
2
2xyy b)
2
2yxx
c)
2
2xy y d)
2
2xyy
10. Find one solution to the system:
22
1,
16 4
24 8.
xy
xy
a)
2, 0
b)
0, 4
c)
0, 5
d)
4, 0
11. Find one solution to the system:
2
8,
5 14.
xy
xy
a)
3, 1
b)
2, 4
c)
2, 4
d)
3, 1
12. Find one solution to the system:
22
22
4,
1.
43
xy
xy
a)
2, 0
b)
0, 3
c)
0, 2
d)
3, 0
ANSWERS
8.
9.
10.
11.
12.
488 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 13 NAME
TEST FORM H
______________________________________________________________________________
13. A rectangle with diagonal of length 2 85 has an area of 72. Find
the dimensions of the rectangle.
a) 6 by 12 b) 8 by 9 c) 3 by 36 d) 4 by 18
14. Two squares are such that the sum of their areas is
2
24 m
and the
difference of their areas is
2
8 m . Find the length of a side of each
square.
a) 8m,4m b) 4m,2 2m
c) 4m,4 2m d) 22m,26m
15. A rectangular parking lot has a diagonal of length 29 m and a
perimeter of 82 m. Find the larger dimension of the parking lot.
a) 20 m b) 12 m c) 21 m d) 9 m
16. Betty invested a certain amount of money for one year and earned
$432 in simple interest. Halle invested $1800 more at a simple
interest rate that was
4
5
of the interest rate given to Betty, but
earned the same amount of interest. Find Betty’s principal and
interest rate.
a) $9000; 6% b) $9000; 4.8%
c) $1800; 6% d) $7200; 6%
17. Find an equation of the ellipse passing through
2, 0
and
2, 6
with vertices at
2, 3
and
6, 3
.
a)
22
32
1
16 9
xy
b)
22
23
1
16 9
xy
c)
22
23
1
16 9
xy
d)
22
32
1
916
xy
18. The sum of two numbers is 18, and the product is 9. Find the sum
of the reciprocals of the numbers.
a) 2 b) 1 c) 18 d)
1
2
ANSWERS
13.
14.
15.
16.
17.
18.
Chapter Tests 489
CHAPTER 14 NAME
TEST FORM A CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Find the first five terms and the 14
th
term of a sequence with
general term
21
21
n
n
an
.
2. Write an expression for the general term of the sequence
333
, , ,
248
!
.
3. Write out and evaluate:
5
1
6
k
k
k
¦
.
4. Rewrite using sigma notation:
2481632
.
5. Find the 12
th
term,
12
a, of the arithmetic sequence 10, 3, 4,!.
6. Find
1
a and d of an arithmetic sequence when
5
3a and
10
12a .
7. Find the sum of all the multiples of 6 from 30 to 180, inclusive.
8. Find the 7
th
term of the geometric sequence 100, 60, 36,!.
9. Find the common ratio of the geometric sequence
1
40, 30, 22 ,
2!.
10. Find the n
th
term of the geometric sequence 33 3
, , ,
81632
!.
11. Find
7
S for the geometric series
41236“
.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
490 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 14 NAME
TEST FORM A
______________________________________________________________________________
ANSWERS
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
Determine whether each infinite geometric series has a limit. If a limit
exists, find it.
12.
55
524
“
13.
10 10.1 10.201 “
14.
$1900 $95 $4.75 “
15. Find fraction notation for
0.13131313!
.
16. An auditorium has 40 seats in the first row, 46 seats in the second
row, 52 seats in the third row, and so on for 20 rows. How many
seats are in the 15
th
row?
17. How many seats are there in all in the auditorium in Question 16?
18. Each week the price of a $40,000 boat will be reduced 5% of the
previous week’s price. If we assume that it is not sold, what will
be the price after 10 weeks?
19. Find the total rebound distance of a ball that is dropped from a
height of 7 m, with each rebound three-fifths of the preceding one.
20. Simplify:
13
10
§·
¨¸
©¹
.
21. Expand:
5
2xy.
22. Find the 8
th
term in the expansion of
10
ax.
_________________________________________________________
23. Find a formula for the sum of the first n odd numbers:
135 2 1
n
“
.
24. Find the sum of the first n terms of
369
248
1
xxx
“
.
Chapter Tests 491
CHAPTER 14 NAME
TEST FORM B CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Find the first five terms and the 14
th
term of a sequence with
general term
2
1
1
n
n
an
.
2. Write an expression for the general term of the sequence
5 25 125
, , ,
24 8
!
.
3. Write out and evaluate:
52
1
1
k
k
k
¦
.
4. Rewrite using sigma notation:
11 1 1
14 9 16 25
.
5. Find the 12
th
term,
12
a, of the arithmetic sequence
10, 7, 4,
!
.
6. Find
1
a and d of an arithmetic sequence when
5
8
49
a
and
10
5
11 9
a
.
7. Find the sum of all the multiples of 7 from 70 to 700, inclusive.
8. Find the 7
th
term of the geometric sequence
80, 60, 45,
!
.
9. Find the common ratio of the geometric sequence
17
10, 13 , 17 ,
39
!
.
10. Find the n
th
term of the geometric sequence
4, 8, 16,
!
.
11. Find
7
S for the geometric series
21050
“
.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
492 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 14 NAME
TEST FORM B
______________________________________________________________________________
ANSWERS
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
Determine whether each infinite geometric series has a limit. If a limit
exists, find it.
12.
18 6 2
“
13.
0.5 1 2
“
14.
$2300 $184 $14.72
“
15. Find fraction notation for
0.636363
!
.
16. An auditorium has 32 seats in the first row, 35 seats in the second
row, 38 seats in the third row, and so on for 20 rows. How many
seats are in the 15
th
row?
17. How many seats are there in all in the auditorium in Question 16?
18. Each week the price of a $35,000 boat will be reduced 7% of the
previous week’s price. If we assume that it is not sold, what will
be the price after 10 weeks?
19. Find the total rebound distance of a ball that is dropped from a
height of 7 m, with each rebound two-fifths of the preceding one.
20. Simplify:
10
7
§·
¨¸
©¹
.
21. Expand:
5
2xy.
22. Find the 6
th
term in the expansion of
10
ax.
_________________________________________________________
23. Find a formula for the sum
147 3 2
n
Sn
“
.
24. Find the sum of the first n terms of
23
13927
xx x
“
.
Chapter Tests 493
CHAPTER 14 NAME
TEST FORM C CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Find the first five terms and the 14
th
term of a sequence with
general term
2
4
n
n
an
.
2. Write an expression for the general term of the sequence
11 1
, , ,
41664
!
.
3. Write out and evaluate:
5
1
40 2
k
k
¦
.
4. Rewrite using sigma notation:
1491625
.
5. Find the 12
th
term,
12
a, of the arithmetic sequence
10, 5, 0,
!
.
6. Find
1
a and d of an arithmetic sequence when
5
95a and
10
3
88 4
a
.
7. Find the sum of all the multiples of 8 from 32 to 144, inclusive.
8. Find the 7
th
term of the geometric sequence
2, 3, 4.5,
!
.
9. Find the common ratio of the geometric sequence
3
60, 45, 33 ,
4
!
.
10. Find the n
th
term of the geometric sequence
10 20 40
,,,
3927
!
.
11. Find
7
S for the geometric series
40 20 10
“
.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
494 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 14 NAME
TEST FORM C
______________________________________________________________________________
ANSWERS
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
Determine whether each infinite geometric series has a limit. If a limit
exists, find it.
12.
1
822
“
13.
0.7 1.4 2.8
“
14.
$3800 $190 $9.50
“
15. Find fraction notation for
0.010101
!
.
16. An auditorium has 25 seats in the first row, 27 seats in the second
row, 29 seats in the third row, and so on for 20 rows. How many
seats are in the 15
th
row?
17. How many seats are there in all in the auditorium in Question 16?
18. Each week the price of a $20,000 boat will be reduced 5% of the
previous week’s price. If we assume that it is not sold, what will
be the price after 10 weeks?
19. Find the total rebound distance of a ball that is dropped from a
height of 9 m, with each rebound two-fifths of the preceding one.
20. Simplify:
11
8
§·
¨¸
©¹
.
21. Expand:
5
2xy.
22. Find the 7
th
term in the expansion of
10
ax.
23. Find a formula for the sum of the first n multiples of
1
2
:
13
1
22 2
n
“
.
24. Find the sum of the first n terms of
23
11 1
124 8
xx x
“
.
Chapter Tests 495
CHAPTER 14 NAME
TEST FORM D CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Find the first five terms and the 14
th
term of a sequence with
general term
24
3
n
n
an
.
2. Write an expression for the general term of the sequence
22 2
, , ,
5 25 125
!
.
3. Write out and evaluate:
5
1
23
k
k
¦
.
4. Rewrite using sigma notation:
24 68 10
.
5. Find the 12
th
term,
12
a, of the arithmetic sequence
16, 13, 10,
!
.
6. Find
1
a and d of an arithmetic sequence when
5
1
11 2
a
and
10
7
15 8
a
.
7. Find the sum of all the multiples of 9 from 27 to 180, inclusive.
8. Find the 7
th
term of the geometric sequence
4, 24, 144,
!
.
9. Find the common ratio of the geometric sequence
21
25, 16 , 11 ,
39
!
.
10. Find the n
th
term of the geometric sequence
2, 4, 8,
!
.
11. Find
7
S for the geometric series
36 12 4
“
.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
496 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 14 NAME
TEST FORM D
______________________________________________________________________________
ANSWERS
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
Determine whether each infinite geometric series has a limit. If a limit
exists, find it.
12.
100 80 64
“
13.
15 30 60
“
14.
$4700 $282 $16.92
“
15. Find fraction notation for
0.515151
!
.
16. An auditorium has 20 seats in the first row, 23 seats in the second
row, 26 seats in the third row, and so on for 25 rows. How many
seats are in the 22
nd
row?
17. How many seats are there in all in the auditorium in Question 16?
18. Each week the price of a $25,000 boat will be reduced 5% of the
previous week’s price. If we assume that it is not sold, what will
be the price after 10 weeks?
19. Find the total rebound distance of a ball that is dropped from a
height of 6 m, with each rebound three-fifths of the preceding one.
20. Simplify:
9
6
§·
¨¸
©¹
.
21. Expand:
6
2ab.
22. Find the 5
th
term in the expansion of
10
ax.
_________________________________________________________
23. Find a formula for the sum of the first n multiples of 6:
61218 6
n
“
.
24. Find the sum of the first n terms of
246
3927
1
xxx
“
.
Chapter Tests 497
CHAPTER 14 NAME
TEST FORM E CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Find the first five terms and the 14
th
term of a sequence with
general term
2
4
n
n
an
.
2. Write an expression for the general term of the sequence
55 5
, , ,
3927
!
.
3. Write out and evaluate:
5
1
2
k
k
k
¦
.
4. Rewrite using sigma notation:
1 4 27 256 3125
.
5. Find the 12
th
term,
12
a, of the arithmetic sequence
16, 19, 22,
!
.
6. Find
1
a and d of an arithmetic sequence when
5
1
20 2
a
and
10
1
45 2
a
.
7. Find the sum of all the multiples of 4 from 16 to 100, inclusive.
8. Find the 7
th
term of the geometric sequence
100, 50, 25,
!
.
9. Find the common ratio of the geometric sequence
113
1,2,3,
248
!
.
10. Find the n
th
term of the geometric sequence
52
,1, ,
25
!
.
11. Find
7
S for the geometric series
51545
“
.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
498 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 14 NAME
TEST FORM E
______________________________________________________________________________
ANSWERS
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
Determine whether each infinite geometric series has a limit. If a limit
exists, find it.
12.
111
248
“
13.
1 1.5 2.25
“
14.
$7200 $288 $11.52
“
15. Find fraction notation for
0.120120120
!
.
16. An auditorium has 15 seats in the first row, 18 seats in the second
row, 21 seats in the third row, and so on for 15 rows. How many
seats are in the 13
th
row?
17. How many seats are there in all in the auditorium in Question 16?
18. Each week the price of a $30,000 boat will be reduced 5% of the
previous week’s price. If we assume that it is not sold, what will
be the price after 8 weeks?
19. Find the total rebound distance of a ball that is dropped from a
height of 6 m, with each rebound two-fifths of the preceding one.
20. Simplify:
10
6
§·
¨¸
©¹
.
21. Expand:
4
3ab.
22. Find the 5
th
term in the expansion of
13
ax.
________________________________________________________
23. Find a formula for the sum
1611 5 4
n
Sn
“
.
24. Find the sum of the first n terms of
23
24 8
1
xx x
“
.
Chapter Tests 499
CHAPTER 14 NAME
TEST FORM F CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Find the first five terms and the 14
th
term of a sequence with
general term
2
5
1
n
n
an
.
2. Write an expression for the general term of the sequence
3927
, , ,
41664
!
.
3. Write out and evaluate:
5
1
52
k
k
¦
.
4. Rewrite using sigma notation:
135
12
22 2
.
5. Find the 12
th
term,
12
a, of the arithmetic sequence
16, 21, 26,
!
.
6. Find
1
a and d of an arithmetic sequence when
5
1
26 4
a
and
10
1
61 4
a
.
7. Find the sum of all the multiples of 5 from 10 to 200, inclusive.
8. Find the 7
th
term of the geometric sequence
2, 8, 32,
!
.
9. Find the common ratio of the geometric sequence
1
30, 20, 13 ,
3
!
.
10. Find the n
th
term of the geometric sequence
39
1, , ,
24
!
.
11. Find
7
S for the geometric series
100 20 4
“
.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
500 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 14 NAME
TEST FORM F
______________________________________________________________________________
ANSWERS
12.
13.
14.
15.
16.
17.
18.
19.
20.
21.
22.
23.
24.
Determine whether each infinite geometric series has a limit. If a limit
exists, find it.
12.
9
862
“
13.
0.01 0.012 0.0144
“
14.
$2350 $141 $8.46
“
15. Find fraction notation for
0.015015015
!
.
16. An auditorium has 16 seats in the first row, 20 seats in the second
row, 24 seats in the third row, and so on for 20 rows. How many
seats are in the 15
th
row?
17. How many seats are there in all in the auditorium in Question 16?
18. Each week the price of a $35,000 boat will be reduced 5% of the
previous week’s price. If we assume that it is not sold, what will
be the price after 8 weeks?
19. Find the total rebound distance of a ball that is dropped from a
height of 8 m, with each rebound two-fifths of the preceding one.
20. Simplify:
11
7
§·
¨¸
©¹
.
21. Expand:
4
23xy.
22. Find the 6
th
term in the expansion of
13
ax.
_______________________________________________________
23. Find a formula for the sum of the first n multiples of
1
3
:
12
1
33 3
n
“
.
24. Find the sum of the first n terms of
23
3927
1
xx x
“
.
Chapter Tests 501
CHAPTER 14 NAME
TEST FORM G CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Find the 15
th
term of a sequence with general term
22
n
n
an
.
a) 13 b)
13
7
c)
213
15
d)
28
15
2. Write an expression for the general term of the sequence
41664
, , ,
3927
“
.
a)
2
18 27
n
§·
¨¸
©¹
b)
1
4
3
n
§·
¨¸
©¹
c)
18
7
n
§·
¨¸
©¹
d)
4
3
n
§·
¨¸
©¹
3. Evaluate
5
1
2
k
k
¦
.
a) –22 b) –62 c) –32 d) –30
4. Express using sigma notation:
8 16 32 64 128
.
a)
5
1
24
k
k
¦
b)
5
2
1
2
k
k
¦
c)
5
1
2
k
k
¦
d)
5
1
8
k
k
¦
5. Find the 10
th
term of the arithmetic sequence 5, 1, 3,
!
.
a) –35 b) –43 c) –31 d) –39
6. Find d of an arithmetic sequence when
3
12.75a and
9
44.25a .
a) 2.25 b) 0.4 c) 0.8 d) 5.25
7. Find
1
a of an arithmetic sequence when
5
5a and
10
1
14
a
.
a)
1
74
b) –8 c) –2 d)
3
84
ANSWERS
1.
2.
3.
4.
5.
6.
7.
502 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 14 NAME
TEST FORM G
______________________________________________________________________________
8. Find the sum of all the multiples of 8 from 64 to 120, inclusive.
a) 736 b) 644 c) 828 d) 5152
9. Find the 6
th
term of the geometric sequence 1500, 900, 540,
!
.
a)
123
69 125
b)
619
41 625
c)
16
116 25
d) –1500
10. Find the common ratio of the geometric sequence
11
5, 7 , 11 ,
24
!
.
a)
4
3
b)
3
4
c)
3
2
d)
2
3
11. Find the n
th
term of the geometric sequence 32, 16, 8,
!
.
a)
6
2
n
b)
4
2
n
c)
16 2
n
d)
6
2
n
12. Find
7
S for the geometric series
312 48
“
.
a) 4095 b) 16,383 c) 43,018.5 d) 65,535
Determine whether each infinite geometric series has a limit. If a limit
exists, find it.
13.
0.1 0.05 0.025
“
a) No limit b) 0.2 c) 15 d) 25
14.
12 14.4 17.28
“
a) –60 b) No limit c)
5.45
d) –15
15.
$2000 $1500 $1125
“
a) $2666.67 b) No limit c) $8000 d) $4625
ANSWERS
8.
9.
10.
11.
12.
13.
14.
15.
Chapter Tests 503
CHAPTER 14 NAME
TEST FORM G
______________________________________________________________________________
16. Find fraction notation for
0.321321321
!
.
a)
107
333
b)
321
1001
c)
107
300
d)
321
1000
17. An auditorium has 20 seats in the first row, 22 seats in the second
row, 24 seats in the third row, and so on for 45 rows. How many
seats are in the 40
th
row?
a) 79 b) 75 c) 98 d) 87
18. How many seats are there in all in the auditorium in Question 17?
a) 2925 b) 2430 c) 5760 d) 2880
19. Each week the price of a $30,000 boat will be reduced 7% of the
previous week’s price. If we assume that it is not sold, what will
be the price after 8 weeks?
a) $18,051.03 b) $20,005.26
c) $17,876.12 d) $15,042.52
20. Find the total rebound distance of a ball that is dropped from a
height of 9 m, with each rebound two-thirds of the preceding one.
a) 27 m b) 18 m c) 9 m d) 6 m
21. Simplify:
12
8
§·
¨¸
©¹
.
a) 495 b) 11,880
c) 96 d) 19,958,400
22. Expand:
4
25xy.
a)
43 22 3 4
16 160 600 1000 625xxyxy xyy
b)
43 22 3 4
16 160 600 1000 625xxyxy xyy
c)
44
16 625xy
d)
43 22 3 4
16 40 100 250 625xxyxy xy y
ANSWERS
16.
17.
18.
19.
20.
21.
22.
504 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 14 NAME
TEST FORM G
______________________________________________________________________________
23. Find the 6
th
term in the expansion of
9
xa.
a)
45
126
xa b)
36
84
xa c)
36
84
xa
d)
45
126
xa
_
24. Find the formula for the sum
41424 10 6
n
Sn
“
.
a)
2
10 2
nn
b)
2
53
nn
c)
2
5
nn
d)
2
5
nn
25. Find the sum of the first n terms of
23
4816
2
xx x
“
.
a)
1
4
1
nn
n
x
xx
b)
1
2
22
nn
n
x
xx
ªº
«»
¬¼
c)
2
2
2
22
nn
n
x
xx
ªº
«»
¬¼
d)
3
33 3
4
4
nn
n
x
xx
ANSWERS
23.
24.
25.
Chapter Tests 505
CHAPTER 14 NAME
TEST FORM H CLASS_____SCORE_____GRADE
______________________________________________________________________________
1. Find the 15
th
term of a sequence with general term
33
n
n
an
.
a) 0 b)
14
5
c)
104
5
d) 14
2. Predict the general term of the sequence
18 18 18
, , ,
7 49 343
!
.
a)
1
18 7
n
§·
¨¸
©¹
b)
9
27
n
§·
¨¸
©¹
c)
18
7
n
§·
¨¸
©¹
d)
1
23
7
n
n
3. Evaluate:
51
1
12
kk
k
¦
.
a) –22 b) 6 c) 22 d) 62
4. Express using sigma notation:
4 8 16 32
23 9 27 81
.
a)
5
1
2
3
k
k
k
¦
b)
5
1
12
3
k
k
¦
c)
1
5
1
2
3
k
k
k
¦
d)
5
1
1
2
3
k
k
k
¦
5. Find the 10
th
term of the arithmetic sequence
15,4,23,
!
.
a) –156 b) –194 c) –175 d) –174
6. Find d of an arithmetic sequence when
3
4.8a and
7
6.4a .
a) 2.25 b) 0.4 c) 0.8 d) 5.25
7. Find
1
a of an arithmetic sequence when
5
5
4
a
and
10
5
8
a
.
a)
15
8
b)
5
8
c)
7
4
d)
3
4
ANSWERS
1.
2.
3.
4.
5.
6.
7.
506 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 14 NAME
TEST FORM H
______________________________________________________________________________
8. Find the sum of all the multiples of 9 from 72 to 144, inclusive.
a) 864 b) 7776 c) 972 d) 756
9. Find the 6
th
term of the geometric sequence 1200, 960, 768,
!
.
a)
358
314 625
b)
2057
251 3125
c) 0 d)
27
393125
10. Find the common ratio of the geometric sequence
125
4, 5, 7,
439
!
.
a)
4
3
b)
3
4
c)
3
2
d)
2
3
11. Find the n
th
term of the geometric sequence
11
, , 1,
42
!
.
a)
2
2
n
b)
3
2
n
c)
3
2
n
d)
2
2
2
n
12. Find
7
S for the geometric series
62496
“
.
a) 8190 b) 32,766 c) 131,070 d) 86,037
Determine whether each infinite geometric series has a limit. If a limit
exists, find it.
13.
24 21 18.375
“
a) No limit b) –192 c)
4
12 5
d)
3
27 7
14.
0.01 0.015 0.0225
“
a) 0.5 b) 0 c) No limit d) 1
15. $18,000 $12,000 $8000
“
a) $54,000 b) No limit c) $27,000 d) $38,000
ANSWERS
8.
9.
10.
11.
12.
13.
14.
15.
Chapter Tests 507
CHAPTER 14 NAME
TEST FORM H
______________________________________________________________________________
16. Find fraction notation for
0.033033033
!
.
a)
33
1001
b)
11
300
c)
33
1000
d)
11
333
17. An auditorium has 15 seats in the first row, 17 seats in the second
row, 19 seats in the third row, and so on for 35 rows. How many
seats are in the 31
st
row?
a) 79 b) 75 c) 98 d) 87
18. How many seats are there in all in the auditorium in Question 17?
a) 1715 b) 1452 c) 3430 d) 1750
19. Each week the price of a $25,000 boat will be reduced 7% of the
previous week’s price. If we assume that it is not sold, what will
be the price after 8 weeks?
a) $18,051.03 b) $20,005.26
c) $17,876.12 d) $15,042.52
20. Find the total rebound distance of a ball that is dropped from a
height of 8 m, with each rebound three-fourths of the preceding
one.
a) 32 m b) 24 m c)
2
10 3
m d) 8 m
21. Simplify:
15
12
§·
¨¸
©¹
.
a) 2730 b) 455 c) 180 d) 6
22. Expand:
5
32xy.
a)
55
243 32xy
b)
54 3223 45
243 810 1080 720 240 32xxyxyxyxyy
c)
54 322345
243 162 1080 72 48 32xxyxyxyxyy
d)
54 3223 45
243 810 1080 720 240 32xxyxyxyxyy
ANSWERS
16.
17.
18.
19.
20.
21.
22.
508 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
CHAPTER 14 NAME
TEST FORM H
______________________________________________________________________________
23. Find the 5
th
term in the expansion of
10
xa.
a)
64
210
xa b)
55
252
xa c)
55
252
xa
d)
64
210
xa
24. Find the formula for the sum
71115 4 3
n
Sn
“
.
a)
2
17
22
nn
b)
2
25
nn
c)
2
37
nn
d)
2
410
nn
25. Find the sum of the first n terms of
369
41664
1
xxx
“
.
a)
3
33 3
4
4
nn
n
x
xx
b)
3
3
4
4
nn
n
x
xx
c)
3
33 3
4
4
nn
n
x
xx
d)
3
33 3
4
4
nn
n
x
xx
ANSWERS
23.
24.
25.
Chapter Tests 509
FINAL EXAMINATION NAME
TEST FORM A CLASS_____SCORE_____GRADE
Chapter 1
1. Evaluate 9
4
x
y when 11 and 8xy .
2. Multiply:
64y
.
3. Find the prime factorization of 450.
4. Find
x
when
1
3
x
.
5. Multiply:
815
532
§·
¨¸
©¹
.
6. Simplify:
3
3x.
Chapter 2
Solve.
7.
54 29
xx
8.
45 182xx
9. Find the decimal notation for 7.25%.
10. Graph on the number line:
13xd
.
11. What percent of 300 is 87?
12. On the three tests Jacob has taken in his science class, he has earned
72, 84, and 90. Express as an inequality the scores he can earn on
his fourth test to have an overall average of at least 85.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10. See graph.
11.
12.
510 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM A CLASS_____SCORE_____GRADE
______________________________________________________________________________
ANSWERS
13.
14. See graph.
15. See graph.
16. See graph.
Chapter 3
13. In which quadrant is the point
14, 333
located?
14. Graph:
2
3
yx
.
15. Graph:
36 12xy
.
16. Graph:
3x
.
Chapter Tests 511
FINAL EXAMINATION NAME
TEST FORM A CLASS_____SCORE_____GRADE
Chapter 3 (continued)
17. Find the slope and the y-intercept of
258xy
.
18. Without graphing, determine whether the pair of lines is parallel,
perpendicular, or neither.
54 ,
210 5
yx
xy
19. Find the slope of the line containing the pair of points
8, 3
and
1, 2
. If the slope is undefined, state this.
20. Route 202 drops 15 ft over a horizontal distance of 250 ft. Find the
road grade.
Chapter 4
21. Simplify:
32
23
23xx.
22. Subtract:
43 32
23416325xxx xxx
.
Multiply.
23.
532
4569xxx
24.
643yy
25.
7373tt
26.
22
88xx
27. Divide and write scientific notation for the result.
6
8
9.89 10
2.3 10
u
u
ANSWERS
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
512 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM A CLASS_____SCORE_____GRADE
ANSWERS
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
Chapter 5
Factor completely.
28.
2
20 64xx
29.
32
4728xxx
30.
3
648y 31.
2
5163xx
32. Solve:
2
12 11 15yy .
33. The length of a rectangle is 19 in. more than the width. The area of
the rectangle is 92 in
2
. Find the length and the width.
Chapter 6
34. List all the numbers for which
2
2
328
412
xx
xx
is undefined.
35. Multiply and simplify:
22
22
4 17152 910
61625
xx xx
xx x
.
36. Simplify:
22
31 6
7491449xx xx
.
37. Simplify:
2
2
23
42
aa
aa
.
38. Solve:
10 10 7
7xx
.
39. Flash the Cat runs 4 km/h faster than his litter mate, Sleepy. Flash
runs 5 km in the same time that Sleepy runs 4 km. What is the
speed of each cat?
Chapter Tests 513
FINAL EXAMINATION NAME
TEST FORM A CLASS_____SCORE_____GRADE
Chapter 7
40. For
2
2 , if 0,
3 4, if 0 3, find 4
5, if 3,
xx
fx x x f
xx
°
dd
®
°!
¯
.
41. Mama Louisa’s catering charges a setup fee of $150 plus $22 per
person for catering a convention. Formulate a linear function to
model the cost
Cx
, and determine the number of people in
attendance at the convention if the catering cost is $1250.
For
3
2
fx x
and
45gx x
, find the following:
42.
1fg
43. The domain of
/
fg
.
44. Solve for x:
3xbxa
.
45. If it takes 5 volunteers 3 hr to rake the community center’s yard,
how long would it take 2 volunteers working at the same rate to do
the same job?
Chapter 8
Solve, if possible.
46.
24 32,
45 25
xy
xy
47.
54 3,
86 20
xy
xy
48. Between her home mortgage and credit card bill, Jamie is $80,000
in debt. Each month, Jamie’s credit card accumulates 1.5%
interest and her mortgage 0.375% interest. After one month, her
total accumulated interest is $390. Find the amount of each of
these debts.
Solve. If the system’s equations are dependent or if there is no solution,
state this.
49.
35 34,
2313,
23526
xy
yz
xyz
50.
4311,
342,
432
xy
xz
yz
ANSWERS
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
514 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM A CLASS_____SCORE_____GRADE
ANSWERS
51.
52.
53.
54.
See graph.
55.
See graph.
56.
57.
58.
59.
60.
61.
62.
Chapter 9
51. For
82fx x
, use interval notation to write the domain of f.
52. Dodie can rent a van for either $50 per day with unlimited mileage
or $45 per day with 150 free miles and an extra charge of 25¢ for
each mile over 150. For what numbers of miles traveled would the
unlimited mileage plan save Dodie money?
53. Find the intersection:
^`^`
0, 1, 2, 3, 5 0, 1, 4, 6
.
Solve and graph each solution set.
54.
52 12 37xorxd t
55.
916 4x
Chapter 10
Simplify. Assume that variables can represent any real number.
56.
2
816xx
57.
265yy
58. Rationalize the denominator:
3
72
.
59. Find the distance between the points
5, 3
and
4,2
. Give an
exact answer and an approximation to three decimal places.
60. Subtract:
83 68ii
.
61. Divide and write the answer in the form
abi
:
6
23
i
i
.
62. Simplify:
9
i
.
Chapter Tests 515
FINAL EXAMINATION NAME
TEST FORM A CLASS_____SCORE_____GRADE
Chapter 11
63. Solve:
2
13 40 0xx
.
64. Solve:
2
3xx
. Use a calculator to approximate the solutions to
three decimal places.
65. George and Shaina can peel a bushel of potatoes in 42 minutes.
Working alone, it takes Shaina 80 minutes longer than George to
peel the potatoes. How long would it take for George to do this job
by himself?
66. Determine the type of number the solutions of
2
940xx
will
be.
67. Graph the function
2
273fx x x
.
a) Find the vertex.
b) Find the axis of symmetry.
c) Find the maximum or
minimum function
value.
68. Solve:
40xx
.
Chapter 12
69. Find
fgx
D
and
gfx
D
if
2
3fx x x
and
41gx x
.
70. Find a formula for the inverse of the function:
21gx x
.
71. Rewrite as an equivalent logarithmic equation:
3
1
464
.
72. Express as an equivalent expression using the individual
logarithms of a, b, and c:
1/2 1/3
log ab
c.
ANSWERS
63.
64.
65.
66.
67. See graph.
a)
b)
c)
68.
69.
70.
71.
72.
516 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM A CLASS_____SCORE_____GRADE
ANSWERS
73.
74.
75.
76.
77.
See graph.
78.
79.
80.
81.
82.
83.
84.
If log 4 1.386
a
; log 5 1.609
a
, and log 8 2.079
a
, find the following.
73. log 2
a
74. log 20
a
75. Solve:
53.
x
Chapter 13
76. Find an equation of a circle with center (0, –5) and radius 16.
77. Classify the equation,
2
4,xy y
as a circle, an ellipse, a parabola, or a
hyperbola. Then graph.
78. Solve:
22
22
9,
1.
94
xy
xy
79. A rectangle with diagonal of length 205 has an area of 78. Find
the dimensions of the rectangle.
Chapter 14
80. Write out and evaluate:
5
1
2
k
k
¦
.
81. Find the common ratio of the geometric sequence
1
40, 30, 22 ,
2!
.
82. Determine whether the infinite geometric series has a limit. If a
limit exists, find it.
0.5 1 2“
.
83. Find fraction notation for
1.063063063!
.
84. Simplify:
14
12
§·
¨¸
©¹
.
Chapter Tests 517
FINAL EXAMINATION NAME
TEST FORM B CLASS_____SCORE_____GRADE
Chapter 1
1. Evaluate 4
3
x
y when
7 and 9
xy
.
2. Multiply:
59
y
.
3. Find the prime factorization of 275.
4. Find
x
when
4
x
.
5. Multiply:
314
29
§·
¨¸
©¹
.
6. Simplify:
5
2x.
Chapter 2
Solve.
7.
52 4 8
xx
8.
94 42
xx
!
9. Find the decimal notation for 141%.
10. Graph on the number line:
24
x
d
.
11. What percent of 180 is 27?
12. On the three tests Charli has taken in his history class, she has
earned 85, 92, and 87. Express as an inequality the scores she can
earn on her fourth test to have an overall average of at least 90.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10. See graph.
11.
12.
518 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM B CLASS_____SCORE_____GRADE
ANSWERS
13.
14. See graph.
15. See graph.
16. See graph.
Chapter 3
13. In which quadrant is the point
4, 1.7
located?
14. Graph:
1
2
yx
.
15. Graph:
39
xy
.
16. Graph:
4
y
.
Chapter Tests 519
FINAL EXAMINATION NAME
TEST FORM B CLASS_____SCORE_____GRADE
Chapter 3 (continued)
17. Find the slope and the y-intercept of
43 6
xy
.
18. Without graphing, determine whether the pair of lines is parallel,
perpendicular, or neither.
452,
42 2
yx
xy
19. Find the slope of the line containing the pair of points
4, 1
and
2, 6
. If the slope is undefined, state this.
20. At 10:16 a.m., Jo’Anna had made 14 party favors. At 10:36 a.m.,
she had made 22. Find her rate of making party favors.
Chapter 4
21. Simplify:
52
32
22xx.
22. Subtract:
32 32
5643 625
xxx xxx
.
Multiply.
23.
32
34 611
xx x
24.
854
yy
25.
6565
tt
26.
2323
xx
27. Divide and write scientific notation for the result.
4
6
16.47 10
2.7 10
u
u
ANSWERS
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
520 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM B CLASS_____SCORE_____GRADE
ANSWERS
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
Chapter 5
Factor completely.
28.
2
19 48
xx
29.
32
5630
xxx
30.
3
33y 31.
2
21935
xx
32. Solve:
2
81415yy .
33. The length of a rectangle is 13 m more than the width. The area of
the rectangle is 90 m
2
. Find the length and the width.
Chapter 6
34. List all the numbers for which
2
2
87
248
xx
xx
is undefined.
35. Multiply and simplify:
22
22
9 3 2 9 12 4
344992
xx x x
xx xx
.
36. Simplify:
22
53 7
416816
xx xx
.
37. Simplify:
2
2
82
34
aa
aa
.
38. Solve:
669
3
xx
.
39. Goody Woodpecker can peck 4 pecks/sec faster than Wanda
Woodpecker. Goody pecks 420 times in the same time that Wanda
pecks 336 times. What is the pecking speed of each woodpecker?
Chapter Tests 521
FINAL EXAMINATION NAME
TEST FORM B CLASS_____SCORE_____GRADE
Chapter 7
40. For
2
, if 1,
2 5, if 1 2, find 1
5, if 2,
xx
fx x x f
xx
°
dd
®
°!
¯
.
41. Hansen’s Homemade charges a setup fee of $75 plus $15 per
person for catering a party. Formulate a linear function to model the
cost
Cx
, and determine the number of people in attendance at the
party if the catering cost is $675.
For
2
1
fx x
and
4
gx x
, find the following:
42.
3
fg
43. The domain of
/
fg
.
44. Solve for y:
316
yay z
.
45. If it takes two hoses of equal size and with equal water pressure
12 hr to fill a pool, how long would it take 3 hoses of this same
size and with this same water pressure to fill the pool?
Chapter 8
Solve, if possible.
46.
45 34,
310 53
xy
xy
47.
6517,
9711
xy
xy
48. Between her home mortgage and credit card bill, Dee is $68,000 in
debt. Each month, Dee’s credit card accumulates 1.6% interest and
her mortgage 0.4% interest. After one month, her total accumulated
interest is $392. Find the amount of each of these debts.
Solve. If the system’s equations are dependent or if there is no
solution, then state this.
49.
63,
4210,
64216
xz
xz
xyz
50.
542,
45 28,
451
xz
xy
yz
ANSWERS
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
522 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM B CLASS_____SCORE_____GRADE
ANSWERS
51.
52.
53.
54.
See graph.
55.
See graph.
56.
57.
58.
59.
60.
61.
62.
Chapter 9
51. For
2fx x
, use interval notation to write the domain of f.
52. Stan can rent a van for either $50 per day with unlimited mileage or
$35 per day with 75 free miles and an extra charge of 25¢ for each
mile over 75. For what numbers of miles traveled would the
unlimited mileage plan save Stan money?
53. Find the intersection:
^`^`
0, 5,10,15, 20 5,10, 20, 30
.
Solve and graph each solution set.
54.
2711 31
xorx
d t
55.
17 6
x
Chapter 10
Simplify. Assume that variables can represent any real number.
56.
2
14 49xx
57.
2
3x
58. Rationalize the denominator:
3
3
4
25
x
y
.
59. Find the distance between the points
6, 8
and
5, 2
. Give an
exact answer and an approximation to three decimal places.
60. Subtract:
10 3 3 7
ii
.
61. Divide and write the answer in the form
abi
:
42
3
i
i
.
62. Simplify:
13
i
.
Chapter Tests 523
FINAL EXAMINATION NAME
TEST FORM B CLASS_____SCORE_____GRADE
Chapter 11
63. Solve:
2
12 0
xx
.
64. Solve:
2
37
xx
. Use a calculator to approximate the solutions
to three decimal places.
65. Elsworth and Priscilla can eat an entire chocolate cream pie in
48 minutes. Eating alone, it takes Priscilla 28 minutes longer than
Elsworth to eat the same type of pie. How long would it take for
Elsworth to eat the pie by himself?
66. Determine the type of number the solutions of
2
890
xx
will
be.
67. Graph the function
2
23
fx x x
.
a) Find the vertex.
b) Find the axis of symmetry.
c) Find the maximum or
minimum function value.
68. Solve:
50
xx
!
.
Chapter 12
69. Find
fgx
D
and
gfx
D
if
2
3
fx x x
and
32
gx x
.
70. Find a formula for the inverse of the function:
36
gx x
.
71. Rewrite as an equivalent logarithmic equation:
5
1
232
.
72. Express as an equivalent expression using the individual
logarithms of a, b, and c:
23
log ab
c.
ANSWERS
63.
64.
65.
66.
67. See graph.
a)
b)
c)
68.
69.
70.
71.
72.
524 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM B CLASS_____SCORE_____GRADE
ANSWERS
73.
74.
75.
76.
77.
See graph.
78.
79.
80.
81.
82.
83.
84.
If log 4 1.386
a
; log 5 1.609
a
, and log 6 1.792
a
, find the following.
73.
3
log 2
a
74. log 25
a
75. Solve:
5
log 4 1
x
.
Chapter 13
76. Find an equation of a circle with center
3, 4
and radius 9.
77. Classify the equation
2
2xy y as
a circle, an ellipse, a parabola, or a
hyperbola. Then graph.
78. Solve:
22
22
25,
1.
25 16
xy
xy
79. A rectangle with diagonal of length 157 has an area of 66. Find
the dimensions of the rectangle.
Chapter 14
80. Write out and evaluate:
51
1
13
k
k
k
¦
.
81. Find the common ratio of the geometric sequence
113
1, 2, 3,
248
!
.
82. Determine whether the infinite geometric series has a limit. If a
limit exists, find it.
0.01 0.012 0.0144
“
.
83. Find fraction notation for
3.15151515
!
.
84. Simplify:
14
10
§·
¨¸
©¹
.
Chapter Tests 525
FINAL EXAMINATION NAME
TEST FORM C CLASS_____SCORE_____GRADE
Chapter 1
1. Evaluate 8
7
x
y when
4 and 5
xy
.
2. Multiply:
78
y
.
3. Find the prime factorization of 120.
4. Find
x
when
1
4
x
.
5. Multiply:
421
32
§·
¨¸
©¹
.
6. Simplify:
3
4x.
Chapter 2
Solve.
7.
46 9 2 3
xx x
8.
63 15
xx
d
9. Find the decimal notation for 83.6%.
10. Graph on the number line:
43
x
d
.
11. What percent of 150 is 39?
12. On the three tests Tai has taken in his accounting class, he has
earned 88, 92, and 93. Express as an inequality the scores he can
earn on his fourth test to have an overall average of at least 92.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10. See graph.
11.
12.
526 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM C CLASS_____SCORE_____GRADE
ANSWERS
13.
14. See graph.
15. See graph.
16. See graph.
Chapter 3
13. In which quadrant is
1
3, 5
§·
¨¸
©¹
located?
14. Graph:
3
2
yx
.
15. Graph:
42 8
xy
.
16. Graph:
2
x
.
Chapter Tests 527
FINAL EXAMINATION NAME
TEST FORM C CLASS_____SCORE_____GRADE
Chapter 3 (continued)
17. Find the slope and the y-intercept of
35 12
xy
.
18. Without graphing, determine whether the pair of lines is parallel,
perpendicular, or neither.
510 ,
25 5 12
yx
xy
19. Find the slope of the line containing the pair of points
5, 2
and
4, 3
. If the slope is undefined, state this.
20. Patrick hiked 1218 vertical feet in 42 minutes. Find his rate of
ascent in feet per minute.
Chapter 4
21. Simplify:
23
34
42xx.
22. Subtract:
42 42
8352 8232
xxx xxx
.
Multiply.
23.
53 2
23 2 4
xx x x
24.
752
yy
25.
4141
tt
26.
44
66
xx
27. Divide and write scientific notation for the result.
7
5
10.85 10
3.1 10
u
u
ANSWERS
17.
18.
19.
20.
21.
22.
23.
24.
25.
26.
27.
528 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM C CLASS_____SCORE_____GRADE
ANSWERS
28.
29.
30.
31.
32.
33.
34.
35.
36.
37.
38.
39.
Chapter 5
Factor completely.
28.
2
13 42
xx
29.
32
3927
xxx
30.
3
4500y 31.
2
3114
xx
32. Solve:
2
61714yy .
33. The length of a rectangle is 7 cm more than the width. The area of
the rectangle is 60 cm
2
. Find the length and the width.
Chapter 6
34. List all the numbers for which
2
2
28
815
xx
xx
is undefined.
35. Multiply and simplify:
22
22
16 24 9 8 10 3
261683
xx xx
xx x x
.
36. Simplify:
22
46 1
5251025
xx xx
.
37. Simplify:
2
2
84
25
aa
aa
.
38. Solve:
443
6
xx
.
39. Charley Cheetah runs 5 mph faster than his mate, Chelsea. In the
same time that Chelsea runs 12 mi, Charley runs 13.5 mi. Find the
speed of each cheetah.
Chapter Tests 529
FINAL EXAMINATION NAME
TEST FORM C CLASS_____SCORE_____GRADE
Chapter 7
40. For
2
3 , if 2,
1, if 2 3, find 1
, if 3,
xx
fx x x f
xx
°
d d
®
°!
¯
.
41. Sweet Nothings charges a setup fee of $50 plus $20 per person for
catering a tea. Formulate a linear function to model the cost
Cx
,
and determine the number of people in attendance at the party if the
catering cost is $290
.
For
8
3
fx x
and
23gx x
, find the following:
42.
5gf
43. The domain of
/
fg
.
44. Solve for a:
5az
ga
.
45. If it takes 6 campaign workers 90 min to stuff literature into
envelopes for a mailing, how long would it take 8 workers working
at the same rate to do the same job?
Chapter 8
Solve, if possible.
46.
32 35,
24 34
xy
xy
47.
76 32,
822
xy
xy
48. Between his home mortgage and credit card bill, Joe is $46,000 in
debt. Each month, Joe’s credit card accumulates 1.8% interest and his
mortgage 0.35% interest. After one month, his total accumulated
interest is $219. Find the amount of each of these debts.
Solve. If the system’s equations are dependent or if there is no solution,
then state this.
49.
419,
32 14,
263 11
yz
xy
xyz
50.
45 4,
54 4,
54 9
xy
yz
xz
ANSWERS
40.
41.
42.
43.
44.
45.
46.
47.
48.
49.
50.
530 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM C CLASS_____SCORE_____GRADE
ANSWERS
51.
52.
53.
54.
See graph.
55.
See graph.
56.
57.
58.
59.
60.
61.
62.
Chapter 9
51. For
28fx x
, use interval notation to write the domain of f.
52. Greg can rent a van for either $50 per day with unlimited mileage
or $40 per day with 100 free miles and an extra charge of 25¢ for
each mile over 100. For what numbers of miles traveled would the
unlimited mileage plan save Greg money?
53. Find the intersection:
^`^`
3,6,9,12,15 9,15,18,27
.
Solve and graph each solution set.
54.
325 14xorxd t
55.
713 5x
Chapter 10
Simplify. Assume that variables can represent any real number.
56.
2
12 36xx
57.
55yy
58. Rationalize the denominator: 5
73.
59. Find the distance between the points
4, 2
and
8, 6
. Give an
exact answer and an approximation to three decimal places.
60. Subtract:
73 62ii
.
61. Divide and write the answer in the form
abi
:
83
2
i
i
.
62. Simplify:
26
i
.
Chapter Tests 531
FINAL EXAMINATION NAME
TEST FORM C CLASS_____SCORE_____GRADE
Chapter 11
63. Solve:
2
60xx
.
64. Solve:
2
55xx
. Use a calculator to approximate the solutions
to three decimal places.
65. Jean Paul and Maurice can bake a dozen loaves of bread in 3 hours.
Working alone, it takes Maurice 4.5 hours longer than Jean Paul to
bake this much bread. How long would it take for Jean Paul to
bake the bread by himself ?
66. Determine the type of number that the solutions of
2
7100xx
will be.
67. Graph the function
2
224fx x x
.
a) Find the vertex.
b) Find the axis of symmetry.
c) Find the maximum or
minimum function value.
68. Solve:
50xx
.
Chapter 12
69. Find
fgx
D
and
gfx
D
if
2
3fx x x
and
23gx x
.
70. Find a formula for the inverse of the function:
25gx x
.
71. Rewrite as an equivalent logarithmic equation:
3
1
327
.
72. Express as an equivalent expression using the individual
logarithms of a, b, and c:
13 12
log ab
c.
ANSWERS
63.
64.
65.
66.
67. See graph.
a)
b)
c)
68.
69.
70.
71.
532 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM C CLASS_____SCORE_____GRADE
ANSWERS
73.
74.
75.
76.
77.
See graph.
78.
79.
80.
81.
82.
83.
84.
If log 8 2.079
a
; log 5 1.609
a
, and log 3 1.099
a
, find the following.
73.
5
log 8
a
74. log 64
a
75. Solve:
3
log 2 2x
.
Chapter 13
76. Find an equation of a circle with center (2, –6) and radius 4.
77. Classify the equation
2
2xy y as a circle, an
ellipse, a parabola, or a hyperbola.
Then graph.
78. Solve:
22
22
16,
1.
16 9
xy
xy
79. A rectangle with diagonal of length 13 has an area of 60. Find the
dimensions of the rectangle.
Chapter 14
80. Write out and evaluate:
5
1
12
k
k
k
¦
.
81. Find the common ratio of the geometric sequence
17
10, 13 , 17 ,
39
!
.
82. Determine whether the infinite geometric series has a limit. If a
limit exists, find it.
15 30 60
“
.
83. Find fraction notation for
2.080808
!
.
84. Simplify:
11
10
§·
¨¸
©¹
.
Chapter Tests 533
FINAL EXAMINATION NAME
TEST FORM D CLASS_____SCORE_____GRADE
Perform the indicated operation. Simplify, if possible.
1.
64 4 4 3y
2.
82 3 4 32 1yy
ªº
¬¼
3.
6532yy
4.
2
2
51
35
aa
aa
5.
22
43 21xx x
6.
2
2
94xy
7.
3737tt
8.
23
42
63xx
9.
22
25
49 4 21
x
xxx
10.
34
53
§·
¨¸
©¹
11.
32 32
25 75793xxx xxx
12.
42 2
3841 1xxx xy
13.
3.42 0.56
14.
2
424
24 64
tt
tt
15. 412 348
16.
2222
34794a b ab ab a b
17. Find the x-intercept and the y-intercept of the graph of
52 15xy
.
18. Find the slope of the line that contains the two points
7, 3
and
2, 6
.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
534 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM D CLASS_____SCORE_____GRADE
ANSWERS
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
19. Divide and write in scientific notation.
4
1
3.358 10
7.3 10
u
u
20. Simplify:
6
5
4
a
a
. Assume that the variable can represent any real
number.
21. Simplify:
23
510ab ab
. Assume
,0abt
.
22. Multiply:
2
45i. Write the answer in the form
abi
.
23. Simplify:
2
54
6xy
. Do not use negative exponents in the
answer.
24. Rationalize the denominator: 3
65.
25. Convert to an exponential equation:
3
log 243 5 .
26. Find the distance between the points
3, 3
and
5, 4
.
27. Find a formula for the inverse of the function
35fx x
.
28. Evaluate the polynomial
2
265xx
when
3x
.
29. Given
2
3Px x x
, find and simplify
Pa h Pa
.
30. If
15 3fx x
, determine the domain of f .
Chapter Tests 535
FINAL EXAMINATION NAME
TEST FORM D CLASS_____SCORE_____GRADE
31. Evaluate
24
56
.
Graph.
32.
3515xy
33.
21yx
34.
4x
35.
21
x
fx
36.
3
loggx x
ANSWERS
31.
32. See graph.
33. See graph.
34. See graph.
35. See graph.
36. See graph.
536 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM D CLASS_____SCORE_____GRADE
ANSWERS
37.
See graph.
38. a)
b) See graph.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
37. Classify the equation as a circle,
an ellipse, a parabola, or a
hyperbola. Then graph.
22
6690xy xy
38. For the function
2
22fx x x
,
a) find the vertex and the axis
of symmetry;
b) graph the function.
39. Find the slope-intercept equation for the line containing the point
0, 4
and parallel to the line
34 8xy
.
40. Without graphing, determine whether the pair of lines is parallel,
perpendicular, or neither.
576,
757
yx
yx
Solve, if possible. If an equation is a contradiction or an identity, state
this.
41.
41734yy
42.
2
2320x
43.
37 23xx t
44.
54xd
45.
2
675xx
46. 212xx
47.
32 16,
7511
xy
xy
48.
2
680xx
Chapter Tests 537
FINAL EXAMINATION NAME
TEST FORM D CLASS_____SCORE_____GRADE
Solve, if possible. If an equation is a contradiction or an identity, state
this.
49.
6201
7xx
50.
2
53xx
51.
2723,
52711,
2521
xyz
xyz
xyz
52.
22
27,
20
xy
xy
53. 1
327
x
54. 243 3xorx! !
55.
534 81xx x
56. What percent of 305 is 54.9?
57. Determine the type of number the solutions of
2
10 26 0xx
will be.
58. Solve:
2
7xx
. Use a calculator to approximate the solutions to
three decimal places.
Factor completely.
59.
2
18 56xx
60.
2
16 49m
61.
2
51050xxx
62.
3
324x
63.
2
6720xx
64. Fran can rent a van for either $75 per day with unlimited mileage or
$50 per day with 75 free miles and an extra charge of 20¢ for each
mile over 75. For what numbers of miles traveled would the
unlimited mileage plan save Fran money?
65. The perimeter of a rectangle is 84. The length of the rectangle is
two less than three times the width. Find the dimensions of the
rectangle.
ANSWERS
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
65.
538 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM D CLASS_____SCORE_____GRADE
ANSWERS
66.
67.
68.
69.
70.
71. a)
b)
c)
d)
e)
66. The hypotenuse of a right triangle is 50 cm long. The length of one
leg is 20 cm. Find the length of the other leg. Give an exact
answer and one rounded to the nearest thousandth.
67. Claude runs 2 km/h faster than Mel. In the same time that Mel runs
54 km, Claude runs 60 km. Find the speed of each runner.
68. Sarah and Libby take turns mowing the lawn. Sarah mows the lawn
in 45 min. Libby does the same job in 55 min. How long would it
take them, working together, to mow the lawn?
69. In a recent year, about 64% of the 2,700,000 high school graduates
were enrolled in college in October of that year. How many
students in that graduating class were in college in October of that
year?
70. The length of a rectangle is 6 in. more than the width. If the area of
the rectangle is 135 in
2
,
find the length and the width.
71. Great Shakes Inc. produces dining room tables. For the first year,
the fixed set-up costs are $88,000. The variable costs for producing
each table are $200. The revenue from each table is $1000. Find
the following:
a) The total cost
Cx
of producing x tables;
b) The total revenue
R
x
from the sale of x tables;
c) The total profit
Px
from the production and sale of x tables;
d) The profit or loss from production and sale of 50 tables; of
250 tables;
e) The break-even point.
Chapter Tests 539
FINAL EXAMINATION NAME
TEST FORM D CLASS_____SCORE_____GRADE
72. Find the total rebound distance of a ball that is dropped from a
height of 7 m, with each rebound two-fifths of the preceding one.
73. Leontine bicycles 37 km/h with no wind. Against the wind she
bikes 75 km in the same time it takes to bike 110 km with the wind.
What is the speed of the wind?
74. An investment with interest compounded continuously doubled
itself in 22 years. What is the interest rate?
75. Find the equilibrium point for the demand and supply functions
98 9Dp p
and
53 6Sp p
.
76. Find the center and the radius of the circle
22
5816xy .
77. Solve the formula for q: 56t
Hq
.
78. Solve the formula for t:
5tv
am t
.
79. Find the 7
th
term in the expansion of
10
ax.
80. For an arithmetic sequence, find the common difference d when
1
8a and
5
4a .
81. Find the common ratio of the geometric sequence
3
60, 45, 33 ,
4
!
.
ANSWERS
72.
73.
74.
75.
76.
77.
78.
79.
80.
81.
540 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM D CLASS_____SCORE_____GRADE
ANSWERS
82.
83.
84.
85.
82. Determine whether the infinite geometric series has a limit. If a
limit exists, find it.
10 8 6.4 “
83. Find fraction notation for
0.47474747!
.
84. If y varies directly as x and
40
y
when 100,x find y
when
15.x
85. If y varies inversely as x and
25y
when 30,x find the equation
of variation.
Chapter Tests 541
FINAL EXAMINATION NAME
TEST FORM E CLASS_____SCORE_____GRADE
Perform the indicated operation. Simplify, if possible.
1.
36 6 3 3y
2.
28 1 6 34 5yy
ªº
¬¼
3.
2345yy
4.
2
2
63
72
aa
aa
5.
22
26 35xx x
6.
2
23
34xy
7.
2929tt
8.
52
2
23xx
9.
22
32
25 4 5
x
xxx
10.
13
25
§·
¨¸
©¹
11.
32 32
56810 34106
xxx xx x
12.
42 2
4732 2
xxx x
y
13.
6.15 4.86
14.
2
5416
4 5 125
tt
tt
15. 620 945
16.
2222
241093
a b ab ab a b
17. Find the x-intercept and the y-intercept of the graph of
34 9
xy
.
18. Find the slope of the line that contains the two points
8, 5
and
2, 1
.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
542 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM E CLASS_____SCORE_____GRADE
ANSWERS
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
19. Divide and write in scientific notation.
5
8
1.653 10
2.9 10
u
u
20. Simplify:
4
5
3
4
a
a
. Assume that the variable can represent any real
number.
21. Simplify:
2
38ab a b
. Assume
,0
ab
t
.
22. Multiply:
2
52i. Write the answer in the form
abi
.
23. Simplify:
3
65
4xy
. Do not use negative exponents in the
answer.
24. Rationalize the denominator: 6
57.
25. Convert to an exponential equation:
5
log 25 2 .
26. Find the distance between the points
2, 8
and
3, 5
.
27. Find a formula for the inverse of the function
25
fx x
.
28. Evaluate the polynomial
2
362
xx
when
2
x
.
29. Given
2
32
Px x x
, find and simplify
Pa h Pa
.
30. If
82fx x
, determine the domain of f .
Chapter Tests 543
FINAL EXAMINATION NAME
TEST FORM E CLASS_____SCORE_____GRADE
31. Evaluate.
30 6
12 5
08 4
Graph.
32.
2510xy
33.
4yxt
34.
3y
35.
32
x
fx
36.
4
loggx x
ANSWERS
31.
32. See graph.
33. See graph.
34. See graph.
35. See graph.
36. See graph.
544 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM E CLASS_____SCORE_____GRADE
ANSWERS
37.
See graph.
38. a)
b) See graph.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
37. Classify the equation as a circle,
an ellipse, a parabola, or a
hyperbola. Then graph.
22
6 8 21 0xy xy
38. For the function
2
23fx x x
,
a) find the vertex and the axis
of symmetry;
b) graph the function.
39. Find the slope-intercept equation for the line containing the point
0, 6
and parallel to the line
26 5xy
.
40. Without graphing, determine whether the pair of lines is parallel,
perpendicular, or neither.
52,
10 2 7
yx
xy
Solve, if possible. If an equation is a contradiction or an identity, state
this.
41.
246110yy
42.
2
3270x
43.
23 5 7xx
44.
36xd
45.
2
81835xx
46. 15 9 3xx
47.
2310,
52 3
xy
xy
48.
2
3120xx
Chapter Tests 545
FINAL EXAMINATION NAME
TEST FORM E CLASS_____SCORE_____GRADE
Solve, if possible. If an equation is a contradiction or an identity, state
this.
49.
88 6
3xx
50.
2
38xx
51.
52 1,
52 2,
253
xyz
xyz
xy z
52.
22
71,
24
xy
xy
53. 1
416
x
54. 2102 4xorx! !
55.
2354 523xxx
56. What percent of 154 is 38.5?
57. Determine the type of number the solutions of
2
11 0xx
will be.
58. Solve:
2
71xx
. Use a calculator to approximate the solutions
to three decimal places.
Factor completely.
59.
2
22 72xx
60.
2
49 25m
61.
2
7428xxx
62.
3
4 500x
63.
2
62xx
64. Dan can rent a van for either $75 per day with unlimited mileage or
$60 per day with 150 free miles and an extra charge of 15¢ for each
mile over 150. For what numbers of miles traveled would the
unlimited mileage plan save Dan money?
65. The perimeter of a rectangle is 24. The length of the rectangle is
eight less than three times the width. Find the dimensions of the
rectangle.
ANSWERS
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
65.
546 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM E CLASS_____SCORE_____GRADE
ANSWERS
66.
67.
68.
69.
70.
71. a)
b)
c)
d)
e)
66. The hypotenuse of a right triangle is 24 cm long. The length of one
leg is 8 cm. Find the length of the other leg. Give an exact answer
and one rounded to the nearest thousandth.
67. Renee runs 3 mph faster than Shana. In the same time that Shana
runs 16 mi, Renee runs 22 mi. Find the speed of each runner.
68. Tyrone and Morgan stock the shelves with CDs at the local music
store. When a new shipment arrives, Tyrone can display the CDs in
80 min. Morgan can do the job in 100 min. If they work together,
how long will it take to stock the shelves?
69. In the law firm of Bundy, Fripps, and Hogan, 65% of the 180
lawyers work over 80 hr per week. How many of the firm’s
lawyers work over 80 hr per week?
70. The length of a rectangle is 12 in. more than the width. If the area
of the rectangle is 64 in
2
,
find the length and the width.
71. Great Shakes Inc. produces dining room chairs. For the first year,
the fixed set-up costs are $45,000. The variable costs for producing
each chair are $60. The revenue from each chair is $90. Find the
following:
a) The total cost
Cx
of producing x chairs;
b) The total revenue
R
x
from the sale of x chairs;
c) The total profit
Px
from the production and sale of x chairs;
d) The profit or loss from production and sale of 1000 chairs; of
2500 chairs;
e) The break-even point.
Chapter Tests 547
FINAL EXAMINATION NAME
TEST FORM E CLASS_____SCORE_____GRADE
72. Find the total rebound distance of a ball that is dropped from a
height of 8 m, with each rebound two-fifths of the preceding one.
73. Simon bicycles 34 km/h with no wind. Against the wind he bikes
27 km in the same time it takes to bike 41 km with the wind. What
is the speed of the wind?
74. An investment with interest compounded continuously doubled
itself in 20 years. What is the interest rate?
75. Find the equilibrium point for the demand and supply functions
76 7Dp p
and
54 4Sp p
.
76. Find the center and the radius of the circle
22
649xy .
77. Solve the formula for s:
43t
Ws
.
78. Solve the formula for t:
6t
kt
.
79. Find the 5
th
term in the expansion of
10
ax.
80. For an arithmetic sequence, find the common difference d when
1
6a and
15
1a .
81. Find the common ratio of the geometric sequence
21
25,16 ,11 ,
39
!
.
ANSWERS
72.
73.
74.
75.
76.
77.
78.
79.
80.
81.
548 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM E CLASS_____SCORE_____GRADE
ANSWERS
82.
83.
84.
85.
82. Determine whether the infinite geometric series has a limit. If a
limit exists, find it.
1 1.2 1.44 “
83. Find fraction notation for
0.63636363!
.
84. If y varies directly as x and y = 0.5 when x = 2, find y
when x = 8.
85. If y varies inversely as x and y = 9 when x = 21, find the equation of
variation.
Chapter Tests 549
FINAL EXAMINATION NAME
TEST FORM F CLASS_____SCORE_____GRADE
Perform the indicated operation. Simplify, if possible.
1.
48 12 2 2y
2.
52 6 4 32 5yy
ªº
¬¼
3.
3721
yy
4.
2
2
23
45
aa
aa
5.
22
32 74xx x
6.
2
2
47xy
7.
5454tt
8.
52
43
3xx
9.
22
43
16 2 8
x
xxx
10.
23
57
§·
¨¸
©¹
11.
32 32
72114257
xxx xxx
12.
42 2
5623 3
xxx x
y
13.
3.18 4.23
14.
2
566
1 7 175
tt
tt
15. 532 272
16.
2222
831546
a b ab ab a b
17. Find the x-intercept and the y-intercept of the graph of
45 16
xy
.
18. Find the slope of the line that contains the two points
6, 14
and
4, 6
.
ANSWERS
1.
2.
3.
4.
5.
6.
7.
8.
9.
10.
11.
12.
13.
14.
15.
16.
17.
18.
550 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM F CLASS_____SCORE_____GRADE
ANSWERS
19.
20.
21.
22.
23.
24.
25.
26.
27.
28.
29.
30.
19. Divide and write in scientific notation.
3
9
3.483 10
4.3 10
u
u
20. Simplify:
3
5
2
4
a
a
. Assume that the variable can represent any real
number.
21. Simplify:
2
12 8ab ab
. Assume
,0
ab
t
.
22. Multiply:
2
62i. Write the answer in the form
abi
.
23. Simplify:
3
46
2xy
. Do not use negative exponents in the
answer.
24. Rationalize the denominator: 3
26.
25. Convert to an exponential equation:
3
log 27 3 .
26. Find the distance between the points
2, 5
and
6, 6
.
27. Find a formula for the inverse of the function
27
fx x
.
28. Evaluate the polynomial
2
246
xx
when
3
x
.
29. Given
2
4
Px x x
, find and simplify
Pa h Pa
.
30. If
20 5fx x
, determine the domain of f .
Chapter Tests 551
FINAL EXAMINATION NAME
TEST FORM F CLASS_____SCORE_____GRADE
31. Evaluate.
85
34
Graph.
32.
34 12
xy
33.
21
yx
!
34.
2
x
35.
23
x
fx
36.
2
log
gx x
ANSWERS
31.
32. See graph.
33. See graph.
34. See graph.
35. See graph.
36. See graph.
552 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM F CLASS_____SCORE_____GRADE
ANSWERS
37.
See graph.
38. a)
b) See graph.
39.
40.
41.
42.
43.
44.
45.
46.
47.
48.
37. Classify the equation as a circle,
an ellipse, a parabola, or a
hyperbola. Then graph.
22
4650xy xy
38. For the function
2
21
fx x x
,
a) find the vertex and the axis
of symmetry;
b) graph the function.
39. Find the slope-intercept equation for the line containing the point
0, 7
and parallel to the line
52 8
xy
.
40. Without graphing, determine whether the pair of lines is parallel,
perpendicular, or neither.
364,
635
yx
yx
Solve, if possible. If an equation is a contradiction or an identity, state
this.
41.
335210yy
42.
2
2720x
43.
49 34xxd
44.
62xd
45.
2
18 21 5xx
46. 3124xx
47.
65 4,
47 10
xy
xy
48.
2
5300xx
Chapter Tests 553
FINAL EXAMINATION NAME
TEST FORM F CLASS_____SCORE_____GRADE
Solve, if possible. If an equation is a contradiction or an identity, state
this.
49.
10 9 1
2xx
50.
2
36xx
51.
65443,
32 16,
238
xyz
xyz
xyz
52.
22
32,
15
xy
xy
53. 1
5125
x
54. 283 9xorx! !
55.
524332xx x
56. What percent of 210 is 75.6?
57. Determine the type of number the solutions of
2
12 27 0xx
will be.
58. Solve:
2
33xx
. Use a calculator to approximate the solutions
to three decimal places.
Factor completely.
59.
2
18 45xx
60.
2
36 1m
61.
2
11 8 88xxx
62.
3
88x
63.
2
61328xx
64. Jan can rent a van for either $75 per day with unlimited mileage or
$55 per day with 100 free miles and an extra charge of 20¢ for each
mile over 100. For what numbers of miles traveled would the
unlimited mileage plan save Jan money?
65. The perimeter of a rectangle is 64. The length of the rectangle is
eight more than twice the width. Find the dimensions of the
rectangle.
ANSWERS
49.
50.
51.
52.
53.
54.
55.
56.
57.
58.
59.
60.
61.
62.
63.
64.
554 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM F CLASS_____SCORE_____GRADE
ANSWERS
66.
67.
68.
69.
70.
71. a)
b)
c)
d)
e)
66. The hypotenuse of a right triangle is 18 cm long. The length of one
leg is 5 cm. Find the length of the other leg. Give an exact answer
and one rounded to the nearest thousandth.
67. Marmalade the Cat runs 2 km/h faster than Mittens, his litter mate.
In the same time that Mittens runs 8 km, Marmalade runs 9 km.
Find the speed of each cat.
68. John and Lisa started a house painting company together. They
estimate that if John paints the next contracted house by himself, he
can do it in 45 hr. If Lisa paints the house by herself, she can do it
in 55 hr. If they work together, how long will it take to paint the
house?
69. Of the 60 players on the Hoopville University basketball team, 45%
were offered professional contracts. How many of the players were
offered professional contracts?
70. The length of a rectangle is 5 in. more than the width. If the area of
the rectangle is 204
2
in
find the length and the width.
71. Great Shakes Inc. produces coffee tables. For the first year, the
fixed set-up costs are $30,000. The variable costs for producing
each coffee table are $50. The revenue from each coffee table is
$80. Find the following:
a) The total cost
Cx
of producing x coffee tables;
b) The total revenue
R
x
from the sale of x coffee tables;
c) The total profit
Px
from the production and sale of x coffee
tables;
d) The profit or loss from production and sale of 800 coffee tables;
of 1500 coffee tables;
e) The break-even point.
Chapter Tests 555
FINAL EXAMINATION NAME
TEST FORM F CLASS_____SCORE_____GRADE
72. Find the total rebound distance of a ball that is dropped from a
height of 6 m, with each rebound two-fifths of the preceding one.
73. Jeanie bicycles 33 km/h with no wind. Against the wind she bikes
75 km in the same time it takes to bike 123 km with the wind.
What is the speed of the wind?
74. An investment with interest compounded continuously doubled
itself in 18 years. What is the interest rate?
75. Find the equilibrium point for the demand and supply functions
87 8Dp p
and
48 5Sp p
.
76. Find the center and the radius of the circle
22
3225xy .
77. Solve the formula for t:
37w
Tt
.
78. Solve the formula for x :
45
2xz
yx
.
79. Find the 6
th
term in the expansion of
10
ax.
80. For an arithmetic sequence, find the common difference d when
1
6a and
5
9a .
81. Find the common ratio of the geometric sequence
1
30, 20,13 ,
3
!
.
ANSWERS
72.
73.
74.
75.
76.
77.
78.
79.
80.
81.
556 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM F CLASS_____SCORE_____GRADE
ANSWERS
82.
83.
84.
85.
82. Determine whether the infinite geometric series has a limit. If a
limit exists, find it.
777
248
“
83. Find fraction notation for
0.15151515!
.
84. If y varies directly as x and
3
y
when 2,x find y when
3.x
85. If y varies inversely as x and 7y when 28,x find the equation
of variation.
Chapter Tests 557
FINAL EXAMINATION NAME
TEST FORM G CLASS_____SCORE_____GRADE
1. Evaluate
2
43xxy for
2 and 5xy
.
a)
68
b) 52 c)
38
d)
220
2. Compute and simplify:
160 8 2 2yy
.
a) 42 b) 5 c) 12 d) 80
3. Simplify:
4
25
4xy
.
a)
8
20
16x
y
b)
6
16x
y
c)
6
256x
y
d)
8
20
256x
y
4. Multiply:
3523aa
.
a)
2
61915aa
b)
2
615aa
c)
2
615a
d)
2
61015aa
5. Divide and, if possible, simplify:
22
22
16 49 9
4521 69
xx
xx xx
y
.
a)
47
3
x
x
b)
2
34 7
3
xx
x
c)
64 7
3
xx
x
d)
2
47 3
3
xx
x
6. Simplify:
22
74 3
3969xx xx
.
a)
2
2
742
33
xx
xx
b)
2
2
74142
33
xx
xx
c)
2
2
757
33
xx
xx
d)
2
2
760
33
xx
xx
ANSWERS
1.
2.
3.
4.
5.
6.
558 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM G CLASS_____SCORE_____GRADE
ANSWERS
7.
8.
9.
10.
11.
12.
13.
7. Divide and write scientific notation for the result.
8
6
2.64 10
1.5 10
u
u
a)
2
1.76 10u
b)
48
1.76 10
u
c)
14
1.76 10u
d)
1.3
1.76 10
u
8. Simplify:
8
320a
.
a)
4
64 5a b)
2
85aa c)
4
16 5a d)
4
85a
9. Subtract:
32 32
35624861xxx xxx
.
a)
32
13 12 1xxx
b)
32
31xx
c)
32
3121xx x
d)
32
3121xx x
10. Perform the indicated operation:
2
25x.
a)
2
425x
b)
2
41025xx
c)
2
410x
d)
2
42025xx
11. Multiply:
23
3528xxx
.
a)
53 2
15 6 24xx x
b)
63 2
15 6 24xx x
c)
532
255xxx
d)
53 2
15 6 24xx x
12. Multiply and simplify:
25 3 25 3.
a)
45 3 b) 20 3 c) 45 3 d) 17
13. Simplify:
2
2
63
62
xx
xx
.
a)
32 1
23
x
x
b)
3
8
c)
21
3
x
x
d)
23
32 1
x
x
Chapter Tests 559
FINAL EXAMINATION NAME
TEST FORM G CLASS_____SCORE_____GRADE
14. Simplify: 169 .
a)
13
b)
36i
c)
13i
d) 13
15. Simplify:
2
10 25xx
. Assume variables may represent any
number.
a)
5x
b)
5x
c)
510xx
d)
5x
16. Simplify:
2
25
210 56
tt
ttt
.
a)
1
23t
b)
3
2
t
c)
2
2
23
25
tt
t
d)
1
23t
17. Subtract:
18.6 24.2
−
.
a) –6.4 b) –6.6 c) –450.12 d) –5.6
18. Simplify:
4
log 64
a) 3 b) 16 c) 4 d) 8
19. Simplify:
53
45
a
a.
a)
20 5
a
b)
20 9
a
c)
97
a
d)
20 13
a
20. Subtract and simplify: ab
abb
ba
a
−
−
−
−
1055
22
.
a)
()
ba
ba
−
−
2
5
b)
()
ba
ba
−
+
2
5
c)
()
ba −
5
d)
()
ba +
5
ANSWERS
14. ______________
15. ______________
16. ______________
17. ______________
18. ______________
19. ______________
20. ______________
560 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM G CLASS_____SCORE_____GRADE
ANSWERS
21.
22.
23.
24.
25.
26.
21. Given 386.14log =
a
, 609.15log =
a
, and 792.16log =
a
, find
100log
a
.
a) 4.604 b) 3.584 c) 4.787 d) 3.218
22. Rationalize the denominator: 7
25−.
a)
27 35
77
−
b) 27 35−−
c)
27 35
33
+
d)
27 35
721
−+
23. Solve:
2
58xx
+=.
a)
557
22
± b)
57
22
i
−±
c)
557
22
−± d)
57
22
i
±
24. Solve:
()
2
520x
+=
.
a) 20 5± b) 525−± c) 15, 25 d) 525±
25. Solve:
2
6720xx
−=
.
a)
32
,
45
−
b)
54
,
23
−
c)
45
,
32
−
d)
23
,
54
−
26. Solve the given formula for t:
36
2
x
tt
+=
.
a)
3
6
x
t
+
=
b)
6
12
x
t
+
=
c)
1
2
x
t
+
=
d)
12
6
tx
=+
Chapter Tests 561
FINAL EXAMINATION NAME
TEST FORM G CLASS_____SCORE_____GRADE
27. Solve:
()
23 2
2
11
x
xx xx
+−=
−−
.
a) 1 b) 5 c) 2 d) No solution
28. Solve:
295
+−≤−
aa
.
a)
9
7
aa
½
≤
®¾
¯¿
b)
11
6
aa
½
≤
®¾
¯¿
c)
¿
¾
½
¯
®
≥
7
9
aa
d)
¿
¾
½
¯
®
≥
9
7
aa
29. Solve, if possible:
43 18,
21.
xy
xy
−=−
+=
What is the y-coordinate?
a)
3
b)
2
c) 2 d) Not possible
30. Solve:
2
31xx
+=
. Use a calculator to approximate the solutions
with rational numbers.
a)
2.6180, 0.3820
−−
b)
3.3028, 0.3028
−
c)
3.0811, 0.0811
−
d)
6.6056, 0.6056
−
31. Solve:
264 30,
642 32,
4 2 6 34.
xyz
xyz
xyz
++=−
++=−
++=−
What is the y-coordinate?
a) 10 b) 6 c)
2
d)
10
32. Solve:
12 5 8 13xx
−= +
.
a) 4 b)
9
2
c) 2 d)
2
9
33. Solve: 7 5 15 4 11xx .
a) 3 b)
4
c) 5 d) 4
34. Solve:
32
2950xxx
−−=
.
a)
1
5, 0, 2
−
b)
2, 0, 5
−
c)
1,0,5
2
−
d)
1,5
2
−
ANSWERS
27.
28.
29.
30.
31.
32.
33.
34.
562 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM G CLASS_____SCORE_____GRADE
ANSWERS
35.
36.
37.
38.
39.
40.
35. Solve:
257
t−−≥
.
a)
{
}
66tt ort
≤− ≥
b)
{
}
16t t and t
≤− ≥
c)
{
}
61tt ort
≤− ≥
d)
{
}
61t t and t
≤≥−
36. Solve:
35.1
x
=
. Give exact answer in terms of common
logarithms.
a)
log 3
log5.1 b)
log1.7
c)
5.1
log3 d) log5.1
log 3
37. Determine the type of number the solutions of
2
924160xx
−+=
will be.
a) no solution b) imaginary
c) rational d) irrational
38. What percent of 60 is 24?
a) 40% b) 25% c) 4% d) 250%
39. Adam and Marc update and improve their fraternity Web page. If
Adam does the job alone, it will take him 15 hr. If Marc does the
job alone, it will take him 12 hr. If they work together, how long
will the job take?
a) 27 hr b) 13 hr 30 min
c) 6 hr 40 min d) 6 hr 45 min
40. In 2012, 28% of Bill’s graduating university class of 1600 students
planned to attend graduate school in September. How many of the
students planned to attend graduate school in September?
a) 1152 b) 57 c) 280 d) 448
41. Hans can rent a van for either $50 per day with unlimited mileage
or $35 per day with 75 free miles and an extra charge of 20¢ for
each mile over 75. For what numbers of miles traveled would the
unlimited mileage plan save Hans money?
a) more than 150 mi b) less than 150 mi
c) more than 75 mi d) more than 500 mi
Chapter Tests 563
FINAL EXAMINATION NAME
TEST FORM G CLASS_____SCORE_____GRADE
42. The perimeter of a rectangle is 72. The length of the rectangle is
twelve less than twice the width. Find the width of the rectangle.
a) 28 b) 16 c) 24 d) 20
43. Find the total rebound distance of a ball that is dropped from a
height of 9 m, with each rebound three-fifths of the preceding one.
a) 11 m b)
1
10 m
2
c)
1
13 m
2
d) 12 m
44. Two squares are such that the sum of their areas is
2
20 m and the
difference of their areas is
2
4 m . Find the length of a side of each
square.
a)
22
m, 2 3 m b) 2 m, 3 m
c)
42
m, 4 3 m d) 8 m, 12 m
45. A rectangle has a diagonal of length 15 m and a perimeter of 42 m.
Find the larger dimension of the rectangle.
a) 20 m b) 12 m c) 21 m d) 9 m
46. An investment with interest compounded continuously doubled
itself in 10 years. What is the interest rate?
a) 6.93% b) 4.32% c) 8.66% d) 7 .25%
47. Find the equilibrium point for the demand and supply functions
()
200 18
Dp p=−
and
()
80 12
Sp p=+
.
a)
()
$21,178
b)
()
$4, 128
c)
()
$6.25, 88
d)
()
$128, 4
48. Frontier Home and Yard, a manufacturer of home accessories,
estimates that when x hundred deluxe bird baths are made, the average
cost per unit is given by
()
2
0.3 2.94 8.183
Cx x x=−+
, where C is in
hundreds of dollars. What is the minimum cost per unit?
a) $106 b) $98 c) $10.60 d) $0.98
ANSWERS
42.
43.
44.
45.
46.
47.
48.
564 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM G CLASS_____SCORE_____GRADE
ANSWERS
49.
50.
51.
52.
53.
49. Grace bicycles 36 km/h with no wind. Against the wind she bikes
27 km in the same time it takes to bike 45 km with the wind. What
is the speed of the wind?
a) 9 km/h b) 9.5 km/h c) 8.5 km/h d) 8 km/h
50. Factor:
2
612xx
−−
.
a)
(
)
(
)
2334xx
−−
b)
(
)
(
)
2334xx
+−
c)
(
)
(
)
61 12xx
+−
d)
(
)
(
)
2334xx
−+
51. Factor:
2
81 9x
−
.
a)
()()
99 1 1
xx−+
b)
()()
93 1 3 1
xx−+
c)
()
2
93 1x
−
d)
()
2
93 1x
−
52. Factor:
3
381x
+
.
a)
()
2
39x
+
b)
()
()
2
33 39xxx
+++
c)
()
()
2
33 39xxx
+−+
d)
()
()
2
33 69xxx
+−+
53. Graph:
44xy
+=−
.
a) b)
c) d)
Chapter Tests 565
FINAL EXAMINATION NAME
TEST FORM G CLASS_____SCORE_____GRADE
54. Graph:
22
3
yx
≥−
.
a) b)
c) d)
55. What is the equation corresponding to the following graph?
a)
9xy
=
b)
2
2
1
9
y
x
+=
c)
2
2
1
9
xy
+=
d)
2
2
1
9
xy
−=
ANSWERS
54.
55.
566 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM G CLASS_____SCORE_____GRADE
ANSWERS
56.
57.
58.
59.
60.
56. What is the equation corresponding to the following graph?
a)
()
2
32yx=− − +
b)
()
2
32yx=− + −
c)
()
2
32yx=− −
d)
()
2
32yx=− − −
57. Identify the graph of the solution set for
4325t−≤− + <
.
a) b)
c) d)
58. Find the slope of the line containing the points
()
4, 5−
and
()
7, 3−
.
a)
11
8
−
b)
8
11
−
c)
2
3
d)
8
3
59. Write the slope-intercept equation for the line which contains the
point
()
0, 8
and is parallel to the line 26 5xy+=.
a) 18
3
yx
=− + b) 38
yx
=+
c) 18
3
yx
=− − d) 1
83
yx
=−
60. Find the distance between
()
3, 6−
and
()
2, 4
.
a) 29 b) 7 c) 29 d) 5
Chapter Tests 567
FINAL EXAMINATION NAME
TEST FORM G CLASS_____SCORE_____GRADE
61. Find the x-intercept of the graph of 56 30
xy
−=−.
a)
6, 0
b)
0, 6
c)
0, 5
d)
5, 0
62. Find the vertex of the graph of
2
264yx x .
a)
3, 4
b)
0, 4
c)
319
,
22
§·
¨¸
©¹
d)
317
,
22
§·
¨¸
©¹
63. Find the midpoint of the segment with the endpoints
5, 4
and
9, 10 .
a)
2, 7
b)
7, 7
c)
4, 14
d)
2, 3
64. Find an equation in slope-intercept form of the line with slope
2
3
and containing
4, 6 .
a)
226
33
yx
b)
226
33
yx
c)
210
33
yx
d)
28
3
yx
65. Which line is parallel to
812
yx
?
a)
82 3
xy
b)
82 8
xy
c)
82 3
xy
d)
28 3
xy
66. Given the function
(
)
2
345
fx x x=− + −
, find
()
4f−
.
a)
53
b) 27 c)
69
d) 3
67. Find
()()
fgx
D
if
()
2
fx x x=+
and
()
31gx x=−
.
a)
32
32
xxx+−
b)
2
331
xx+−
c)
2
93
xx−
d)
2
41
xx+−
ANSWERS
61.
62.
63.
64.
65.
66.
67.
568 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM G CLASS_____SCORE_____GRADE
ANSWERS
68.
69.
70.
71.
72.
73.
74.
75.
68. Find and simplify
()()
aPhaP −−−
given
()
xxxP 4
2
+= .
a)
aahhh
824
2
+−−
b)
22
224
aahhh +−−
c)
22
262
aahhh +−−
d)
22
24
hahha−−+
69. Given that
()
42gx x=+
and
() ( )
2
1
hx x=−
, find
()()
5gh⋅−
.
a) 216 b)
648
c)
72
d)
288
70. Find the common ratio of the geometric sequence
8, 12, 18,
−−
!.
a)
3
2
b) 20 c)
2
3
d)
3
2
71. Find the 15
th
term of the arithmetic sequence
25 13 1
,,,
222
“
.
a)
143
2
−
b)
155
2
−
c)
167
2
−
d)
59
2
−
72. Determine whether this infinite geometric series has a limit. If a
limit exists, find it.
10 15 22.5
“
.
a) 0.5 b) 0 c) no limit d) 1
73. Find the 7
th
term in the expansion of
()
9
ax+
.
a)
36
84
ax
b)
27
36
ax
c)
8
9
ax
d)
45
126
ax
74. Find the sum of the multiples of 4 between 1 and 99.
a) 2400 b) 1150 c) 1152 d) 1200
75. If y varies inversely as x and
6
y=
when
18
x=
, find the equation
of variation.
a)
108
yx=
b)
1
3
yx=
c)
3
yx=
d)
108
yx
=
Chapter Tests 569
FINAL EXAMINATION NAME
TEST FORM H CLASS_____SCORE_____GRADE
1. Evaluate
32
35xxy− for
3 and 4
xy=− =
.
a)
261
−
b)
207
−
c) 99 d) 261
2. Compute and simplify:
80 8 4 5 1
÷÷−+
.
a) 36 b)
3
2
c)
9
d) Undefined
3. Simplify:
()
3
42
5xy
−
−.
a)
6
12
125y
x
− b)
5
125y
x
− c)
5
15y
x
− d)
6
12
15y
x
−
4. Multiply:
()()
4373aa+−
.
a)
2
28 21 9
aa+−
b)
2
28 9 9
aa+−
c)
2
28 9
a−
d)
2
28 18 9
aa+−
5. Divide and, if possible, simplify:
22
22
913176
9 3 20 12
xxx
xxx
−+−
÷++
.
a)
()( )
2
3132
9
xx
x
++
b)
()()
()
2
2
3131
932
xx
xx
−+
+
c)
92x+
d)
()( )
2
9
3132
x
xx++
6. Simplify:
22
43 2
6361236xx xx
.
a)
()()
2
2
4 138
66
xx
xx
−−
+−
b)
()()
2
2
4 49 174
66
xx
xx
−+
−+
c)
()()
2
2
4 49 138
66
xx
xx
−+
−+
d)
()()
2
2
4 174
66
xx
xx
−−
+−
ANSWERS
1.
2.
3.
4.
5.
6.
570 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM H CLASS_____SCORE_____GRADE
ANSWERS
7.
8.
9.
10.
11.
12.
13.
7. Divide and write scientific notation for the result.
6
3
8.25 10
2.2 10
−
×
×
a)
3
3.75 10
u
b)
18
3.75 10
u
c)
9
3.75 10
u
d)
2
3.75 10
u
8. Simplify:
64
120a
.
a)
8
230a b)
32
60a
c)
8
60a
d)
32
230a
9. Subtract:
()()
32 32
581168693xx x xxx−−+− −−+
.
a)
32
32203xx x−− − +
b)
32
314 209xx x−− − +
c)
32
3223xxx−− −+
d)
32
314 203xx x−− − +
10. Perform the indicated operation:
()
2
94x−
.
a)
2
81 16x−
b)
2
81 72 16xx−+
c)
2
81 36 16xx−+
d)
2
81 72 16xx−−
11. Multiply:
()
32
63 45xx x−+−
.
a)
54 3
3230xx x−− +
b)
633
18 24 30xxx−− +
c)
543
18 24 30xxx−− +
d)
643
18 24 30xxx−− +
12. Multiply and simplify:
()()
32 5 32 5−+
.
a) 13 b) 23 c)
92 5
d) 92 5−
13. Simplify:
2
2
42
32
xx
xx
−
+
.
a)
()
22
32
x
x
−−
+ b)
2
5
3
8
c)
()
22 1
32
x
x
−
+ d)
()
32
22
x
x
+
−−
Chapter Tests 571
FINAL EXAMINATION NAME
TEST FORM H CLASS_____SCORE_____GRADE
14. Simplify:
144
.
a) 12 b)
12i
c)
12
d)
12
i
15. Simplify:
2
12 36xx−+
. Assume variables may represent any
number.
a)
6
x−
b)
6x−
c)
6x+
d) 612xx+−
16. Simplify:
2
45 15
95 20
tt
tt
+−
⋅
−+
.
a)
1
3
t+
b)
3
t+
c)
()
()
2
34
49
t
t
+
−− d)
()
()()
2
2
4
33
t
tt
+
−+
17. Subtract:
46.8 51.2
−
.
a) –5.4 b) –2396.16 c) –5.6 d) –4.4
18. Simplify:
2
log 128
a) 64 b) 6 c) 7 d) 8
19. Simplify:
5
43
a
a
.
a)
20 5
a
b)
7
20
a
c)
97
a
d)
20 11
a
20. Subtract and simplify:
22
448abab
ab ba
+
−
−−
.
a)
()
ba +4
b)
()
ba
ba
−
+
2
4
c)
()
ba −4
d)
()
ba
ba
−
−
2
4
ANSWERS
14. ______________
15. ______________
16. ______________
17. ______________
18. ______________
19. ______________
20. ______________
572 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM H CLASS_____SCORE_____GRADE
ANSWERS
21.
22.
23.
24.
25.
26.
21. Given 386.14log =
a
, 609.15log =
a
, and 792.16log =
a
, find
log 36
a
.
a) 4.604 b) 3.584 c) 4.787 d) 3.218
22. Rationalize the denominator: 6
35+.
a)
36 30
44
−
b)
630
26
−
c)
36 30
22
−+
d)
36 30
14 14
−
23. Solve:
2
75
xx+=
.
a)
729
22
−±
b)
769
22
±
c)
769
22
−±
d)
729
22
±
24. Solve:
(
)
2
518x
+=
.
a)
14, 4
b)
532−±
c) 523
−±
d) 18 5r
25. Solve:
2
61130
xx−=
.
a)
10 3
,
32
−
b)
310
,
23
−
c)
23
,
310
−
d)
32
,
10 3
−
26. Solve the given formula for z:
32
4
y
xz
−=
.
a) 8
12
x
zxy
=−
b)
2
34
xy
zyx
=−
c)
43
6
xy
z−
=
d)
()
212
3
xy
zy
−
=
Chapter Tests 573
FINAL EXAMINATION NAME
TEST FORM H CLASS_____SCORE_____GRADE
27. Solve:
53 20
5
22
x
xxxx
.
a)
18
5
b) No solution c)
14
13
d)
2
28. Solve:
7293
+−≥− aa
.
a)
¿
¾
½
¯
®
≤
16
7
aa
b)
¿
¾
½
¯
®
≤
7
16
aa
c)
¿
¾
½
¯
®
≥
16
5
aa
d)
16
5
aa
½
≥
®¾
¯¿
29. Solve, if possible:
42 2,
5 4 35.
xy
xy
−=
+=
What is the y-coordinate?
a) 5 b)
33
4
c) 3 d) Not possible
30. Solve:
2
42
xx+=
. Use a calculator to approximate the solutions
with rational numbers.
a)
3.4142, 0.5858
−−
b)
4.4495, 0.4495
−
c)
6.8284, 1.1716
−−
d)
8.8990, 0.8990
−
31. Solve:
545,
552 50,
2 2 25.
xyz
xyz
xy z
−+ − =
−− + =−
+− =−
What is the y-coordinate?
a) 10 b) 5 c) 25 d) 15
32. Solve:
61538
xx+=+
.
a)
23
3
−
b)
7
3
−
c)
7
9
−
d)
3
7
−
33. Solve:
47 287xx−+ +=
.
a) 3 b)
4
c) 5 d) 4
34. Solve:
32
310 80
xxx−−=
.
a)
3,0,4
2
−
b)
2,4
3
−
c)
2,0,4
3
−
d)
2
4, 0, 3
−
ANSWERS
27.
28.
29.
30.
31.
32.
33.
34.
574 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM H CLASS_____SCORE_____GRADE
ANSWERS
35.
36.
37.
38.
39.
40.
35. Solve:
617t+≥
.
a)
41
3
t t and t
½
≤− ≥
®¾
¯¿
b)
4
13
tt ort
½
≤− ≥
®¾
¯¿
c)
41
3
tt ort
½
≤− ≥
®¾
¯¿
d)
{
}
11
tt ort≤− ≥
36. Solve:
46.4
x
=
. Give exact answer in terms of common logarithms.
a)
log1.6
b)
log6.4
log 4 c)
log 4
log 6.4 d)
6.4
log 4
37. Determine the type of number any solutions of
2
4250
x+=
will be.
a) no solution b) imaginary
c) rational d) irrational
38. What percent of 60 is 18?
a) 0.3% b) 30% c)
1
333 %
3
d) 3%
39. Sally and Frank are sewing a patchwork quilt for their parents’
thirtieth wedding anniversary. If Sally sews alone, she can finish the
quilt in 21 hr. If Frank sews alone, he can finish the quilt in 24 hr.
How long will it take them to finish the quilt if they work together?
a) 225 hr b) 11.25 hr
c) 45 hr d) 11.2 hr
40. Each weekend of the basketball season at Gabby’s college, 48% of
the students attend the basketball games. Of the 2800 total
students, how many students go to the games?
a) 1456 b) 1344 c) 2747 d) 1380
41. Nan can rent a van for either $75 per day with unlimited mileage or
$45 per day with 100 free miles and an extra charge of 15¢ for each
mile over 100. For what numbers of miles traveled would the
unlimited mileage plan save Nan money?
a) more than 200 mi b) less than 300 mi
c) more than 300 mi d) more than 700 mi
Chapter Tests 575
FINAL EXAMINATION NAME
TEST FORM H CLASS_____SCORE_____GRADE
42. The perimeter of a rectangle is 138. The length of the rectangle is
six less than four times the width. Find the width of the rectangle.
a) 15 b) 28.8 c) 21 d) 54
43. Find the total rebound distance of a ball that is dropped from a
height of 8 m, with each rebound three-fifths of the preceding one.
a) 11 m b)
1
10 m
2
c)
1
13 m
2
d) 12 m
44. Two squares are such that the sum of their areas is
2
30 m and the
difference of their areas is
2
10 m . Find the length of a side of each
square.
a) 10 m, 5 m b) 4 m, 2.5 m
c) 25 m, 10 m d) 45 m, 10 m
45. A rectangle has a diagonal of length 29 m and a perimeter of 82 m.
Find the larger dimension of the rectangle.
a) 20 m b) 12 m c) 21 m d) 9 m
46. An investment with interest compounded continuously doubled
itself in 8 years. What is the interest rate?
a) 6.93% b) 4.32% c) 8.66% d) 7.25%
47. Find the equilibrium point for the demand and supply functions
()
240 12Dp p=−
and
()
100 8Sp p=+
.
a)
()
$7, 156
b)
()
$35, 380
c)
()
$17, 36
d)
()
$85, 780
48. Frontier Home and Yard, a manufacturer of Home accessories,
estimates that when x hundred 3-ft garden statues are made, the average
cost per unit is given by
()
524.968.34.0
2
+−=
xxxC , where C is in
hundreds of dollars. What is the minimum cost per unit?
a) $106 b) $98 c) $10.60 d) $0.98
ANSWERS
42.
43.
44.
45.
46.
47.
48.
576 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM H CLASS_____SCORE_____GRADE
ANSWERS
49.
50.
51.
52.
53.
49. Ross bicycles 32 km/h with no wind. Against the wind he bikes
33 km in the same time it takes to bike 63 km with the wind. What
is the speed of the wind?
a) 11 km/h b) 8 km/h c) 9 km/h d) 10 km/h
50. Factor:
2
12 20
xx+−
.
a)
4534
xx
b)
(
)
(
)
4534
xx+−
c)
(
)
(
)
12 1 2
xx+−
d)
(
)
(
)
6524
xx++
51. Factor:
2
16 64
x−
.
a)
()
2
16 2 1
x−+
b)
()
2
16 1 2
x−
c)
()()
16 1 2 1 2xx−+
d)
()
16 1 4x−
52. Factor:
3
5 625
x+
.
a)
()
()
2
55 525
xxx+++
b)
()
()
2
55 525
xxx−++
c)
()
()
2
5 5 10 25
xxx+−+
d)
()
()
2
55 525
xxx+−+
53. Graph:
32 6
xy+=−
.
a) b)
c) d)
Chapter Tests 577
FINAL EXAMINATION NAME
TEST FORM H CLASS_____SCORE_____GRADE
54. Graph:
13
2
yx≥− +
.
a) b)
c) d)
55. What is the equation corresponding to the following graph?
.
a)
22
1
94
xy
−=
b)
22
1
94
yx
−=
c)
22
1
49
xy
+=
d)
22
1
49
xy
−=
ANSWERS
54.
55.
578 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM H CLASS_____SCORE_____GRADE
ANSWERS
56.
57.
58.
59.
60.
56. What is the equation corresponding to the following graph?
a)
()
2
234yx=−+
b)
()
2
234yx=− − −
c)
()
2
234yx=− + +
d)
()
2
234yx=− − +
57. Identify the graph of the solution set for
3257t−≤− + <
.
a) b)
c) d)
58. Find the slope of the line containing the points
()
3, 4
and
()
8, 6−
.
a)
2
11
−
b)
2
5
−
c)
11
2
−
d)
2
11
59. Write the slope-intercept equation for the line which contains the
point
()
0, 2−
and is parallel to the line 45xy+=.
a) 1
24
yx
=− − b) 12
4
yx
=− −
c) 12
4
yx
=− + d) 42
yx
=−
60. Find the distance between
()
8, 5−
and
()
6, 2
.
a) 53 b) 5 c)
22
d) 53
Chapter Tests 579
FINAL EXAMINATION NAME
TEST FORM H CLASS_____SCORE_____GRADE
61. Find the x-intercept of the graph of 53 15
xy
−=−.
a)
(
)
0, 3−
b)
(
)
0, 5
c)
(
)
3, 0−
d)
(
)
5, 0
62. Find the vertex of the graph of
2
423yx x
=−+
.
a)
1,3
2
§·
¨¸
©¹
b)
0, 3
c)
111
,
44
§·
¨¸
©¹
d)
115
,
44
§·
¨¸
©¹
63. Find the midpoint of the segment with the endpoints
8, 2
and
6, 10
.
a)
2,12
b)
24,10
c)
1, 5
d)
1, 6
64. Find an equation in slope-intercept form of the line with slope
1
2
−
and containing
4, 3 .
a)
11
2
yx
=− −
b)
17
2
yx
=− −
c)
15
22
yx
=− +
d)
11
2
yx
=− +
65. Which line is parallel to
2137
yx
?
a)
27 7
xy
b)
72 2
xy
c)
27 7xy−=
d)
213 7
xy
66. Given the function
(
)
3
243
fx x x=++
, find
(
)
3
f−
.
a) 9 b)
63
c) 45 d) 207
67. Find
()()
fgx
D
if
()
2
fx x x=+
and
(
)
43
gx x=−
.
a)
2
16 20 6
xx−+
b)
2
443
xx+−
c)
32
43
xx x+−
d)
2
53
xx+−
ANSWERS
61.
62.
63.
64.
65.
66.
67.
580 Instructor Resource Manual Elementary and Intermediate Algebra: Concepts and Applications, Sixth Edition
FINAL EXAMINATION NAME
TEST FORM H CLASS_____SCORE_____GRADE
ANSWERS
68.
69.
70.
71.
72.
73.
74.
75.
68. Find and simplify
()()
aPhaP −+
given
()
xxxP 3
2
−= .
a)
ahhh
23
2
+−
b)
ahhh
22
2
+−
c)
222
26 2
hhaha−− +
d)
aahhh
623
2
++−
69. Given that
()
25gx x=+
and
() ( )
2
3
hx x=−
, find
()()
3gh⋅−
.
a) –36 b) 0 c)
12
d) 396
70. Find the common ratio of the geometric sequence
4
3, 2, ,
3
−− −
!
.
a)
2
3
b)
2
3
c) 1 d)
1
3
71. Find the 12
th
term of the arithmetic sequence
1
8, , 7,
2
−
!
.
a)
82
b)
149
2
−
c)
179
2
−
d)
36
−
72. Determine whether this infinite geometric series has a limit. If a
limit exists, find it.
0.01 0.015 0.0225
−+ −
“
a) 0.5 b) no limit c)
100
d) 1
73. Find the 5
th
term in the expansion of
()
8
ax+
.
a)
35
56
ax
b)
26
28
ax
c)
44
56
ax
d)
44
70
ax
74. Find the sum of the multiples of 3 between 1 and 100.
a) 3366 b) 1636 c) 1683 d) 1632
75. If y varies inversely as x and
9
y=
when
12
x=
, find the equation
of variation.
a)
4
3
yx=
b)
108
yx=
c)
3
4
yx=
d)
108
yx
=