Exam
Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
1)
In your own words, explain how you would solve a word problem using proportions.
1)
2)
Is this an application of the cross product method? If not, why not?
5
6·3
4=18
20 =9
10
2)
3)
What is the cross product method? Use an example.
3)
4)
Tell how you would split an amount according to a given ratio.
4)
5)
In the Multiplication Rule for solving equations, explain why each side of the equation
must be multiplied or divided by the same nonzero number.
5)
6)
Explain how you would write a ratio in terms of whole numbers when one or both terms
are fractions.
6)
7)
Write a step–by–step explanation of how you would solve the equation A =1
2(b + B)h for
B.
7)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the problem.
8)
Mara can type 22 words per minute. How many words would she type in 1
4 hour (15 minutes)?
8)
A)
83 words
B)
6 words
C)
88 words
D)
330 words
Solve the proportion.
9)
1
2=r
5
9)
A)
5
B)
0.1
C)
2.5
D)
10
Solve the problem.
10)
If 7 sandwich rolls cost $1.19, how much will 12 rolls cost?
10)
A)
$3.04
B)
$10.33
C)
$2.04
D)
$8.33
Solve the formula for the specified variable.
11)
I =nE
nr + R for n
11)
A)
n =
–IR
Ir – E
B)
n = IR(Ir – E)
C)
n =
–R
Ir – E
D)
n =IR
Ir + E
Solve the equation.
12)
3.5 =b
9
12)
A)
30.5
B)
11.5
C)
31.5
D)
12.5
Determine if the proportion is true or false.
13)
3.83
5.91 =34.776
42.552
13)
A)
True
B)
False
14)
1
32
1
8
=
2
20
2
4
14)
A)
False
B)
True
A formula is given, along with values for all but one of the variables in the formula. Find the value of the variable that is
not given. Round to the nearest hundredth when necessary.
15)
P = 4s; s =31
15)
A)
s =124
B)
P =35
C)
s =27
D)
P =124
Solve the problem.
16)
On a map of the Thunderbird Country Club golf course, 2.5 inches equals 60 yards. How long is the
14th hole if the map shows 6.5 inches?
16)
A)
975 yd
B)
156 yd
C)
390 yd
D)
23.1 yd
17)
Dr. Taylor can see 10 patients in 5 hours. At this rate, how long would it take him to see 70
patients?
17)
A)
34 hr
B)
35 hr
C)
140 hr
D)
50 hr
Solve the equation.
18)
8= b + 7
18)
A)
1
B)
–1
C)
–15
D)
15
Solve the problem.
19)
Sven can type 25 words per minute. How many words would he type in 1
3 hour (20 minutes)?
19)
A)
8 words
B)
500 words
C)
167 words
D)
75 words
20)
If a computer prints 6.5 lines in 2 seconds, how many lines can it print per minute?
20)
A)
196 lines
B)
196.5 lines
C)
195 lines
D)
195.5 lines
A formula is given, along with values for all but one of the variables in the formula. Find the value of the variable that is
not given. Round to the nearest hundredth when necessary.
21)
C = 2r; C =37.68, = 3.14
21)
A)
r =236.63
B)
r =6
C)
r =40.82
D)
r =12
Solve the equation.
22)
a – 4 =4
22)
A)
0
B)
-8
C)
0
D)
8
Solve the problem.
23)
If a spring stretches 0.6 meter when a 4–kilogram weight is attached to it, how much will it stretch
when a14–kilogram weight is attached to it?
23)
A)
2.1 m
B)
1.1 m
C)
5.1 m
D)
4.1 m
A formula is given, along with values for all but one of the variables in the formula. Find the value of the variable that is
not given. Round to the nearest hundredth when necessary.
24)
A =1
2(b + B)h; A =32, b =18, B =14
24)
A)
h =16
B)
h =252
C)
h =2
D)
h =0
Solve the equation.
25)
10y =4y + 8 + 5y
25)
A)
80
B)
-8
C)
8
D)
-80
Write the phrase as a mathematical expression. Use x as the variable.
26)
Some number minus 32
26)
A)
32x
B)
x + 32
C)
32
D)
x – 32
A formula is given, along with values for all but one of the variables in the formula. Find the value of the variable that is
not given. Round to the nearest hundredth when necessary.
27)
A =1
2bh; b =4, h =14
27)
A)
A =18.5
B)
A =56
C)
A =28
D)
A =18
Solve the equation.
28)
2(x – 2) =4(x – 13)
28)
A)
48
B)
24
C)
28
D)
56
29)
5
7z =15
29)
A)
35
B)
15
C)
25
D)
21
Write the phrase as a mathematical expression. Use x as the variable.
30)
The sum of a number and 15
30)
A)
15x
B)
x + 15
C)
x – 15
D)
x + 15
2
Solve the formula for the specified variable.
31)
S = 2rh + 2r2 for h
31)
A)
h = S – r
B)
h = 2(S – r)
C)
h =S – 2r2
2r
D)
h =S
2r – 1
6
Solve the equation.
32)
19x – 4x + x =80
32)
A)
10
B)
25
C)
1
5
D)
5
Solve the problem.
33)
The amount of money in an account is given by A = P(1 + r)t, where P is the principal invested, r is
the interest rate (as a decimal), and t is the time of the investment. Find the amount at the end of 3
years if $700 is invested at 9%. Round to the nearest cent.
33)
A)
$763.00
B)
$1330.00
C)
$906.52
D)
$4801.30
Determine if the proportion is true or false.
34)
1.3
2.4 =16.1
16.8
34)
A)
False
B)
True
Solve the equation.
35)
x
13 =2
35)
A)
11
B)
15
C)
14
D)
26
A formula is given, along with values for all but one of the variables in the formula. Find the value of the variable that is
not given. Round to the nearest hundredth when necessary.
36)
d = rt; t =4, d =28
36)
A)
r =24
B)
r =32
C)
d =7
D)
r =7
Solve the problem.
37)
Doug and Inga can deliver 40 papers in 2 hours. How long would it take them to deliver 96 papers?
37)
A)
0.8 hr
B)
192 hr
C)
7.2 hr
D)
4.8 hr
Write the phrase as a mathematical expression. Use x as the variable.
38)
5 times some number
38)
A)
5
x
B)
5+ x
C)
5– x
D)
5x
Solve the problem.
39)
Find the interest if $3900 is borrowed at 9% (or 0.09) for 5 years. (I = PRT)
39)
A)
$1755
B)
$5655
C)
$351
D)
$3510
40)
Ted runs a shoe store. The equation g = n + r expresses the relationship between gross sales (g), net
sales (n), and returns (r). What were Ted’s net sales if his gross sales were $4800 and his returns
were $3300?
40)
A)
$1500
B)
$4800
C)
$1700
D)
$3300
Solve the equation.
41)
s+ 4.1 =8.55
41)
A)
4.65
B)
12.65
C)
4.45
D)
12.15
8
42)
d + 8 =-3
42)
A)
5
B)
–11
C)
-5
D)
11
Solve the problem.
43)
A school purchased 8 printers at a total cost of $2632. Find the cost per printer.
43)
A)
$329
B)
$2632
C)
$279
D)
$229
Solve the equation.
44)
–23 =5+ f
44)
A)
-18
B)
18
C)
28
D)
–28
Write the phrase as a mathematical expression. Use x as the variable.
45)
One–third of a number added to the difference of the number and 9
45)
A)
x – 9
3
B)
1
3x + (x – 9)
C)
1
3x + (9– x)
D)
x – 9
3x
Solve the problem.
46)
A machine can fill 2870 boxes of cereal in 0.5 hour. How many boxes of cereal can it fill per hour?
46)
A)
5740 boxes
B)
2871 boxes
C)
4783 boxes
D)
1435 boxes
47)
On a map, the length of a nature–center trail is 7.5 centimeters. If the scale is 3centimeters to
30 kilometers, what is the actual length of the trail?
47)
A)
76 km
B)
75 km
C)
150 km
D)
79 km
Translate the statement into a mathematical expression.
48)
An employee’s salary, s, is increased by $213.
48)
A)
213
B)
s + 213
C)
s – 213
D)
213s
Solve the equation.
49)
7x – 6x =19
49)
A)
19
B)
–1
19
C)
0
D)
-19
Write the phrase as a mathematical expression. Use x as the variable.
50)
The product of 71 and some number
50)
A)
71
x
B)
71x
C)
71 – x
D)
71 + x
Determine if the proportion is true or false.
51)
17
50 =36
100
51)
A)
False
B)
True
Translate the statement into a mathematical expression.
52)
A salesperson drove 5 hours. How long will he have driven t hours later?
52)
A)
5
B)
5+ t
C)
5– t
D)
5t
A formula is given, along with values for all but one of the variables in the formula. Find the value of the variable that is
not given. Round to the nearest hundredth when necessary.
53)
P = 2L + 2w; L =5, w =7
53)
A)
L =24
B)
P =70
C)
P =24
D)
P =12
Write the phrase as a mathematical expression. Use x as the variable.
54)
The product of 8.5 and the sum of a number and 8
54)
A)
8(x – 8.5)
B)
8.5(x + 8)
C)
8(x + 8.5)
D)
8.5(x – 8)
A formula is given, along with values for all but one of the variables in the formula. Find the value of the variable that is
not given. Round to the nearest hundredth when necessary.
55)
A =r2; r =5, = 3.14
55)
A)
A =49.3
B)
A =15.7
C)
A =78.5
D)
A =8.14
Solve the problem.
56)
At a movie theater, 42 more people attended the early show than the late show. There were 254
people who saw the movie that night. How many people attended the late show?
56)
A)
106
B)
296
C)
212
D)
148
Solve the formula for the specified variable.
57)
A =1
2bh for b
57)
A)
b=2A
h
B)
b=Ah
2
C)
b=A
2h
D)
b=h
2A
Solve the problem.
58)
Joan can mow a 3–acre field in 4 hours. How long would it take her to mow a 2.2–acre field? Round
to the nearest tenth.
58)
A)
0.7 hr
B)
2.9 hr
C)
4.9 hr
D)
5.9 hr
Explanation:
59)
When 4 times a number is subtracted from 7 times the number, the result is 33. Find the number.
59)
A)
3
B)
18
C)
29
D)
11
Explanation:
Write the phrase as a mathematical expression. Use x as the variable.
60)
The sum of 4.95 and x
60)
A)
4.95 – x
B)
4.95x
C)
4.95
D)
4.95 + x
Explanation:
A formula is given, along with values for all but one of the variables in the formula. Find the value of the variable that is
not given. Round to the nearest hundredth when necessary.
61)
V =1
3Bh; V =12, h =6
61)
A)
B =6
B)
B =2
C)
B =72
D)
B =18
Explanation:
Explanation:
Solve the equation.
62)
a + 2 =5
62)
A)
–7
B)
3
C)
7
D)
–3
63)
s– 0.0432 =0.085
63)
A)
0.0618
B)
0.0782
C)
0.0418
D)
0.1282
Solve the formula for the specified variable.
64)
F =9
5C + 32 for C
64)
A)
C =9
5(F – 32)
B)
C =5
9(F – 32)
C)
C =F – 32
9
D)
C =5
F – 32
65)
A = P(1 + nr) for n
65)
A)
n=P – A
Pr
B)
n=A
r
C)
n=Pr
A – P
D)
n=A – P
Pr
Solve the equation.
66)
x
9+ 8 =14
66)
A)
200
B)
198
C)
15
D)
54
Solve the formula for the specified variable.
67)
a + b = s + r for r
67)
A)
r=s(a + b)
B)
r=a
s+ b
C)
r=a + b
s
D)
r= a + b – s
Solve the problem.
68)
A golfer’s net score (n) is determined by the equation n = g – h, where (g) is the gross score and (h)
is the handicap. One player’s net score was 60 and his handicap was 11. What was his gross score?
68)
A)
60
B)
73
C)
71
D)
63
69)
Maria and Charlie can deliver 80 papers in 4 hours. How long would it take them to deliver 42
papers?
69)
A)
2.6 hr
B)
168 hr
C)
7.6 hr
D)
2.1 hr
Solve the formula for the specified variable.
70)
V =1
3Bh for B
70)
A)
B=h
3V
B)
B=V
3h
C)
B=3h
V
D)
B=3V
h
Solve the problem.
71)
A hardware store spent $11,790 on print and TV advertising last year. If 4
5 of that amount was
spent on print advertising, how much was spent on TV advertising?
71)
A)
$9432
B)
$21,222
C)
$2358
D)
$11,790
72)
Four times a number added to 7 times the number equals 44. Find the number.
72)
A)
0.7
B)
6
C)
6.3
D)
4
Write the phrase as a mathematical expression. Use x as the variable.
73)
The quotient of 9 less than a number and 3 more than the number
73)
A)
x + 9
x – 3
B)
(x – 9) + (x + 3)
C)
9
3x
D)
x – 9
x + 3
Solve the equation.
74)
106 =10x + 6
74)
A)
4
B)
90
C)
10
D)
94
Solve the problem.
75)
Dr. Wong can see 11 patients in 3 hours. At this rate, how long would it take her to see 33 patients?
75)
A)
9 hr
B)
33 hr
C)
121 hr
D)
8 hr
Solve the equation.
76)
7
8x –1
16 x =0.9375
76)
A)
12
13
B)
13
15
C)
11
7
D)
11
8
77)
42.5 =8.5c
77)
A)
34
B)
5
C)
33
D)
4
78)
41 =7x – 8
78)
A)
46
B)
13
C)
42
D)
7
79)
7.1m + 2m – m =28.35
79)
A)
8.1
B)
3.5
C)
35
D)
7.1
80)
4.94x =23.712
80)
A)
17.572
B)
4.8
C)
3.8
D)
18.772
Translate the statement into a mathematical expression.
81)
There were 76 men and women at a meeting. If m of them were men, how many were women?
81)
A)
m
76
B)
76 – m
C)
76 + m
D)
76m
Write the phrase as a mathematical expression. Use x as the variable.
82)
Some number divided by 92
82)
A)
92 – x
B)
92x
C)
x
92
D)
92 + x