Exam
Name___________________________________
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
1)
Explain the steps involved in solving an equation of the form ax – b = c.
1)
2)
Explain the steps involved in solving an equation of the form ax + 4 + bx = 3 + cx + 8.
2)
3)
Give examples of three different phrases which could be translated to the algebraic
expression x – 5.
3)
4)
What are some word phrases that mean multiplication?
4)
5)
A student was asked to evaluate 1
3x + 6 for x = 7. She started by multiplying by 3 to clear
the fraction. Why is this not correct?
5)
6)
A math teacher asked her students to solve the following equation:
1
3x + 5 =1
4x +2
3
Tom started by subtracting 5 from both sides. Is this a valid way to begin? Michelle started
by multiplying both sides by 12. Is this a valid way to begin? Which method would you
recommend and why?
6)
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Evaluate.
7)
x + y, when x =7 and y =-5
A)
-35
B)
12
C)
2
D)
-12
Solve.
8)
–5a + 5 + 6a =10 – 30
A)
45
B)
25
C)
-45
D)
-25
9)
-7x –18 =–123
A)
-98
B)
15
C)
141
7
D)
-15
Collect like terms.
10)
-4x + 0.9y – 1.6x + 6y
10)
A)
6.9x – 5.6y
B)
-5.6x + 6.9y
C)
-4x – 1.6x + 0.9y + 6y
D)
-5.6x + 0.9y + 6
2
Solve using the multiplication principle.
11)
1
5x =26
11)
A)
31
B)
104
C)
130
D)
125
Solve.
12)
–9b + 3 + 7b = –3b + 8
12)
A)
5
B)
8
C)
-8
D)
-3
Collect like terms.
13)
9a – 4a + 5
13)
A)
5a + 5
B)
–5a + 5
C)
10a
D)
13a + 5
Solve.
14)
A car rental business rents a compact car at a daily rate of $36.20 plus 20 cents per mile. Mike can
afford to spend $63 on the car rental for one day. How many miles can he drive and stay within his
budget?
14)
A)
134 mi
B)
124 mi
C)
129 mi
D)
139 mi
Multiply.
15)
–4(m – 2)
15)
A)
–4m – 2
B)
–4m + 8
C)
4m + 8
D)
–4m – 8
Solve.
16)
13.3y –8.4y =93.1
16)
A)
21
B)
18
C)
19
D)
20
Collect like terms.
17)
-11y – 8x – 3x
17)
A)
-11y – 5x
B)
-22xy
C)
-11y + 5x
D)
-11y – 11x
Solve using the addition principle.
18)
1.8 + m =15.0
18)
A)
12.7
B)
13.2
C)
16.8
D)
16.3
Collect like terms.
19)
-5x – 7.8y + 11.3x – 3.1y – 6.3x + 10.9y
19)
A)
0
B)
7.3x – 5.9y
C)
-7.3x + 5.9y
D)
7.3x + 5.9y
Multiply.
20)
8(x +6+6y)
20)
A)
x +48 +48y
B)
8x +48 +48y
C)
8x +6+6y
D)
8x +48 +6y
4
Solve.
21)
4(5t –22) –6=106
21)
A)
11
B)
12
C)
10
D)
9
22)
A square plywood platform has a perimeter which is 8 times the length of a side, decreased by 8
feet. Find the length of a side. (P = 4S)
22)
A)
Side: 1 ft
B)
Side: 2 ft
C)
Side: 6 ft
D)
Side: 4 ft
B
Collect like terms.
23)
–4b + 2a – 3c + 2b + 6a
23)
A)
8a – 2b – 3c
B)
8a – 2b
C)
-4a – 2b – 3c
D)
–2a + 8b – 3c
A
Solve using the multiplication principle.
24)
32
15 x =– 16
15
24)
A)
– 8
9
B)
– 1
2
C)
– 9
8
D)
– 2
9
B
Multiply.
25)
5(6m +5)
25)
A)
150m
B)
6m +25
C)
30m +25
D)
30m +5
C
5
C
Solve. Clear decimals first.
26)
16.8y –151.2 =58.8y –529.2
26)
A)
9
B)
45
C)
-9
D)
-45
Solve. Clear fractions first.
27)
3
4x –1
3x =1
6x + 1
27)
A)
12
5
B)
12
7
C)
4
D)
1
6
D)
Solve.
28)
If Gloria received a 3% raise and is now making $24,720 a year, what was her salary before the
raise?
28)
A)
$25,000
B)
$23,720
C)
$22,720
D)
$24,000
D)
Solve. Clear fractions first.
29)
1
2+2y =3y –1
4
29)
A)
1
4
B)
3
20
C)
3
4
D)
1
2
D)
Solve.
30)
10.6 –2.6(x +2.4) =11 –3(x +2)
30)
A)
1.6
B)
5.6
C)
11.6
D)
8.6
D)
6
D)
31)
4y – 6 =2y
31)
A)
– 1
B)
1
C)
3
D)
-3
Evaluate.
32)
2(x + y) and 2x +2y when x =12 and y =5
32)
A)
29, 29
B)
29, 36
C)
29, 34
D)
34, 34
D
Solve.
33)
4(3x –4) =68
33)
A)
6
B)
5
C)
8
D)
7
D
Factor. Check by multiplying.
34)
9x –63
34)
A)
7(x –9)
B)
7(9 – x)
C)
9(x –63)
D)
9(x –7)
D
Collect like terms.
35)
-7z – (-3z)
35)
A)
-10z
B)
-4z
C)
4z
D)
-4z2
B
C
Solve using the multiplication principle.
36)
-153 =-9n
36)
A)
144
B)
2
C)
17
D)
-144
37)
–5
6x = –18.4
37)
A)
26.32
B)
12.4
C)
22.08
D)
17.08
Factor. Check by multiplying.
38)
16 –12x
38)
A)
4(4 –12x)
B)
4(4 –3x)
C)
(4 –3)4x
D)
4(3 –4x)
Solve.
39)
8.2(x +0.8) –12.2 =3(x +6) –7
39)
A)
21.2
B)
3.2
C)
18.2
D)
15.2
40)
27 =3(5y –26)
40)
A)
6
B)
7
C)
8
D)
9
Solve using the multiplication principle.
41)
7a =-56
41)
A)
1
B)
-8
C)
-63
D)
63
Solve using the addition principle.
42)
y –3= –11
42)
A)
–14
B)
8
C)
14
D)
-8
Evaluate.
43)
m – n
9, when m =54 and n =81
43)
A)
–27
B)
–3
C)
45
D)
-75
44)
x + y
8, when x =64 and y =40
44)
A)
48
B)
104
C)
13
D)
69
Solve.
45)
8– 3p =3
45)
A)
– 11
3
B)
5
3
C)
– 5
3
D)
– 10
3
Solve using the multiplication principle.
46)
72 =-8k
46)
A)
-9
B)
80
C)
1
D)
-80
Solve.
47)
A city government budgeted $33.4 million for public transportation. This was $17.8 million more
than was budgeted for parks and recreation. How much was budgeted for parks and recreation?
47)
A)
$15.1 million
B)
$19.6 million
C)
$16.6 million
D)
$15.6 million
Factor. Check by multiplying.
48)
40x +35
48)
A)
5(8x +35)
B)
5(7x +8)
C)
5(8x +7)
D)
5(7x +40)
Collect like terms.
49)
2x + 2y + 9 + 4x
49)
A)
17xy
B)
6x + 2y + 9
C)
6x + 11y
D)
6x + 2y
Solve.
50)
You are traveling to your aunt’s house that is 171 miles away. If you are currently twice as far from
home as you are from your aunt’s, how far have you traveled?
50)
A)
114 mi
B)
85.5 mi
C)
57 mi
D)
28.5 mi
Solve using the multiplication principle.
51)
22 =-2z
51)
A)
-11
B)
-24
C)
1
D)
24
52)
19.6 =9.8y
52)
A)
17.6
B)
2
C)
9.8
D)
1
2
53)
–49.5 =9.9z
53)
A)
-5
B)
-39.6
C)
– 1
5
D)
-44.5
Solve.
54)
4–2(3t –16) =-18
54)
A)
11
B)
10
C)
8
D)
9
Solve using the addition principle.
55)
x –4
5= – 17
25
55)
A)
112
25
B)
–3
25
C)
3
25
D)
–112
25
Collect like terms.
56)
8a + 9b – 3a
56)
A)
5a + 9b
B)
5a – 3b
C)
14ab
D)
5a + 9
57)
-2a + 1.5 + 2.9c – 2a + 6 – 6c + 4a
57)
A)
-8a – 3.1c + 7.5
B)
-4a + 8.9c + 7.5
C)
-3.1c + 7.5
D)
-1.6c + 6
Solve using the addition principle.
58)
m –2
5=1
4
58)
A)
– 13
20
B)
1
10
C)
– 3
20
D)
13
20
59)
Find the length of a rectangular lot with a perimeter of 76 m if the length is 4 m more than the
width. (P = 2L + 2W)
59)
A)
Length: 21 m
B)
Length: 42 m
C)
Length: 38 m
D)
Length: 17 m
Evaluate.
60)
y
z, when y =-12 and z =6
60)
A)
2
B)
-6
C)
6
D)
-2
Collect like terms.
61)
-7b + 9b
61)
A)
2b
B)
2b2
C)
-2b
D)
-16b
Solve.
62)
4x +2=-14
62)
A)
– 11
2
B)
– 3
C)
-20
D)
-4
63)
When 19 is subtracted from 4 times a certain number, the result is 133. What is the number?
63)
A)
– 57
2
B)
38
C)
49
D)
513
Solve using the multiplication principle.
64)
–39.7y =714.6
64)
A)
-674.9
B)
-696.6
C)
– 1
18
D)
-18
Solve. Clear decimals first.
65)
3.84x +30.72 =7.68x +61.44
65)
A)
-16
B)
16
C)
-8
D)
8
13
Translate to an algebraic expression.
66)
The product of 86% and some number
66)
A)
0.86 + x
B)
0.86
x
C)
86x
D)
0.86x
Solve. Clear fractions first.
67)
2
5x –1
3x =5
67)
A)
-75
B)
150
C)
75
D)
-150
68)
A rectangular yard has a perimeter of 314. The length is 13 ft more than 3 times the width. Find the
width of the yard.
68)
A)
Width: 9 ft
B)
Width: 36 ft
C)
Width: 30 ft
D)
Width: 38 ft
69)
In West Arlington, taxis charge $4.50 plus 75¢ per mile for an airport pickup. How far from the
airport can Amy travel for $33.75?
69)
A)
45 mi
B)
90 mi
C)
25.3125 mi
D)
39 mi
Solve using the addition principle.
70)
-5.7 + y =13
70)
A)
18.2
B)
6.8
C)
18.7
D)
7.3
14
Solve.
71)
7n – 5 =16
71)
A)
7
B)
18
C)
3
D)
14
72)
11 –4(x +4) =13 –6(x +2)
72)
A)
3
B)
13
C)
7
D)
19
73)
Greg sold his used lap top and accessories for $200. If he received seven times as much money for
the lap top as he did for the accessories, how much did he receive for the lap top?
73)
A)
$35
B)
$1400
C)
$175
D)
$25
Solve using the addition principle.
74)
t – 2 =11
74)
A)
-9
B)
-13
C)
13
D)
9
Provide an appropriate response.
75)
Which of the following phrases could be represented by the expression 3x – 5?
(i) Five less than three times a number.
(ii) Three times a number less than five.
(iii) Three times a number minus five.
(iv) Five minus three times a number.
75)
A)
(ii), (iv)
B)
(ii), (iii)
C)
(i), (iv)
D)
(i), (iii)
Solve using the multiplication principle.
76)
1
3=6
7x
76)
A)
18
7
B)
2
7
C)
7
2
D)
7
18
Solve using the addition principle.
77)
x +1
9=8
9
77)
A)
2
3
B)
7
9
C)
1
D)
7
8
Factor. Check by multiplying.
78)
3x +6
78)
A)
2(x +3)
B)
3(x +2)
C)
3(x +6)
D)
3(x +3)
Solve using the addition principle.
79)
–5
6+ y = – 1
12
79)
A)
3
4
B)
11
12
C)
2
3
D)
1
3
Translate to an algebraic expression.
80)
9 times a number divided by k
80)
A)
x
9k
B)
9x
k
C)
9
kx
D)
9+ x
k
Multiply.
81)
3(x +7)
81)
A)
3x +7
B)
21x
C)
3x +21
D)
x +21
Solve using the addition principle.
82)
5.9 = x –3.2
82)
A)
-9.1
B)
9.1
C)
18.88
D)
2.7
Factor. Check by multiplying.
83)
28x –12
83)
A)
4(3x –28)
B)
4(7x –12)
C)
4(3x –7)
D)
4(7x –3)
Solve using the addition principle.
84)
4.2 =12 – x
84)
A)
7.8
B)
–16.2
C)
–7.8
D)
16.2
Solve.
85)
The second angle of a triangular yard is 3 times as large as the first. The third angle is 105° greater
than the first. How large are the angles?
85)
A)
First: 10°; second: 30°; third: 115°
B)
First: 14°; second: 42°; third: 124°
C)
First: 15°; second: 45°; third: 120°
D)
First: 10°; second: 30°; third: 140°
86)
Mia borrowed money at a rate of 16% simple interest. After 1 year, $556.80 paid off the loan. How
much did Mia borrow? Round to the nearest cent, if necessary.
86)
A)
$89.09
B)
$645.89
C)
$480.00
D)
$348.00
C
Collect like terms.
87)
–2x + 5 – 5x + 7
87)
A)
(–2x – 5x) + (5+ 7)
B)
5
C)
3x + 12
D)
–7x + 12
D
Factor. Check by multiplying.
88)
–12x +32y +28
88)
A)
–4(3x +8y +28)
B)
–4(3x +8y +7)
C)
–4(3x –8y –7)
D)
–4(3x +8y –7)
C
Solve. Clear fractions first.
89)
1
5r +6
5=1
7r +8
7
89)
A)
2
B)
-1
C)
1
D)
-2
B
C
Solve using the addition principle.
90)
2.8 = x +8.2
90)
A)
5.4
B)
11.0
C)
0.34
D)
-5.4
Solve.
91)
7x –4+9x =8x + 26 –2x
91)
A)
5
B)
3
C)
4
D)
2
92)
A 176–foot rope is cut into three pieces. The second piece is twice as long as the first. The third
piece is 4 times as long as the second. How long is each piece of rope?
92)
A)
First: 25 ft; second: 50 ft; third: 201 ft
B)
First: 22 ft; second: 44 ft; third: 176 ft
C)
First: 16 ft; second: 32 ft; third: 128 ft
D)
First: 22 ft; second: 44 ft; third: 110 ft
Solve using the multiplication principle.
93)
9.1t = –72.8
93)
A)
-63.7
B)
-64.8
C)
– 1
8
D)
-8
Translate to an algebraic expression.
94)
32% of the price
94)
A)
0.32 + x
B)
0.32 – x
C)
0.32x
D)
0.32
x
Solve using the addition principle.
95)
y +5= –3
95)
A)
2
B)
-2
C)
5
3
D)
–8
96)
–26 =28 + f
96)
A)
2
B)
54
C)
-2
D)
–54
Collect like terms.
97)
1
4x + 4
7y + 4
7x + 1
3y
97)
A)
1
7x + 4
21 y
B)
23
28 x + 4
21y
C)
– 9
28 x + 19
21 y
D)
23
28 x + 19
21y
Translate to an algebraic expression.
98)
4 more than 3 times a number
98)
A)
7x
B)
4x +3
C)
3(4 + x)
D)
3x +4
Solve using the multiplication principle.
99)
– t
8=11
99)
A)
–88
B)
–80
C)
–19
D)
–77
Evaluate.
100)
2p
q, when p =56 and q =8
100)
A)
14
B)
16
C)
96
D)
98
Solve using the multiplication principle.
101)
2x =14
101)
A)
28
B)
12
C)
7
D)
1
7
Solve.
102)
–46 = –7x + 3
102)
A)
–7
B)
7
C)
46
D)
42
Evaluate.
103)
6(x – y – z) and 6x –6y –6z when x =18,y =11, and z =6
103)
A)
6, 6
B)
91, 6
C)
36, 61
D)
91, 91
Multiply.
104)
–3(7m – 4)
104)
A)
–21m – 12
B)
–12m + 21
C)
12m – 21
D)
–21m + 12
Solve.
105)
3y –6=12 + y
105)
A)
9
2
B)
9
C)
3
D)
3
2
Solve using the multiplication principle.
106)
23.4x =280.8
106)
A)
12
B)
1
12
C)
257.4
D)
268.8
Solve. Clear decimals first.
107)
1.6y –7–1.52y = 0.4y + 0.32 –7
107)
A)
1
B)
–1
C)
7
D)
–7
Evaluate.
108)
p
q, when p =24 and q =4
108)
A)
5
B)
6
C)
7
D)
61
4
Factor. Check by multiplying.
109)
8x –6y +14
109)
A)
2(4x –3y +7)
B)
2(x + y) +14
C)
2(4x –6y +7)
D)
2(4x –6y +14)
22
Solve using the multiplication principle.
110)
-5x =-30
110)
A)
-25
B)
6
C)
2
D)
25
111)
–9
7x =53.19
111)
A)
–41.37
B)
–46.19
C)
–32.37
D)
–57.09
112)
-6b =90
112)
A)
1
B)
-96
C)
-15
D)
96
Evaluate.
113)
2(x – y) and 2x –2y when x =4 and y =9
113)
A)
–1, –1
B)
-10, -10
C)
–1, 4
D)
–1, -10
114)
5(x + y + z) and 5x +5y +5z when x =18,y =12, and z =6
114)
A)
156, 132
B)
108, 108
C)
180, 180
D)
108, 180
Solve. Clear decimals first.
115)
11.62y –92.96 +3.32y =3.32y –26.56 +26.56
115)
A)
8
B)
-40
C)
40
D)
-8
23
Solve using the multiplication principle.
116)
–2.3m = –9.2
116)
A)
4
B)
5.2
C)
6.9
D)
1
4
Collect like terms.
117)
3p – p
117)
A)
–2p
B)
2p
C)
3p2
D)
4p
Solve using the addition principle.
118)
1.6 =1.5 + y
118)
A)
–0.1
B)
3.1
C)
1.07
D)
0.1
Solve using the multiplication principle.
119)
x
7=27
119)
A)
182
B)
34
C)
162
D)
189
Solve. Clear fractions first.
120)
3
4+1
5x =8
120)
A)
145
4
B)
25
4
C)
4
D)
135
4
Solve using the addition principle.
121)
7.4 =13.0 – t
121)
A)
–20.4
B)
5.6
C)
–5.6
D)
20.4
Collect like terms.
122)
6.2a +9.1b –3.1a –6.8b
122)
A)
-3.1a + 2.3b
B)
9.3a + 15.9b
C)
3.1a + 15.9b
D)
3.1a + 2.3b
Translate to an algebraic expression.
123)
Alan weighs 6 times as much as his son. Let x represent Alan‘s weight. Write an expression for the
weight of Alan’s son.
123)
A)
6x
B)
1
6x
C)
x –6
D)
6
x
Solve using the multiplication principle.
124)
– 8
9y =– 16
7
124)
A)
9
14
B)
63
32
C)
32
63
D)
18
7
125)
The area of Mark’s backyard is about 6 times the area of Jon‘s backyard. The area of Mark’s
backyard is 4002 ft2. What is the area of Jon’s backyard?
125)
A)
780ft2
B)
4002 ft2
C)
3996 ft2
D)
667ft2
Translate to an algebraic expression.
126)
The difference between some number and 3.8
126)
A)
3.8x
B)
x + 3.8
C)
3.8
D)
x – 3.8
127)
A rectangular Persian carpet has a perimeter of 172 in. The length of the carpet is 18 inches more
than the width. What are the dimensions of the carpet? (P = 2L + 2W)
127)
A)
Length: 70 in.; width: 52 in.
B)
Length: 95 in.; width: 77 in.
C)
Length: 52 in.; width: 34 in.
D)
Length: 86 in.; width: 68 in.
C
Factor. Check by multiplying.
128)
6–3y
128)
A)
3(2 –3y)
B)
3(6 – y)
C)
2(3 – y)
D)
3(2 – y)
D
Solve.
129)
3(4t + 4) =5(2t – 5)
129)
A)
– 37
22
B)
– 2
37
C)
– 13
22
D)
– 37
2
D
Solve. Clear decimals first.
130)
0.71 +0.31x = 0.96 – 0.79x
130)
A)
22
5
B)
–5
22
C)
5
22
D)
–22
5
C
26
D
Solve.
Solve.
131)
-4x –6x =-20
131)
A)
-2
B)
-10
C)
3
D)
2
132)
If you double a number and then add 70, you get 3
5 of the original number. What is the original
number?
132)
A)
-49
B)
-5
C)
51
D)
-50
Solve. Clear decimals first.
133)
5.9t –53.1 =8.26t –74.34
133)
A)
18
B)
-9
C)
9
D)
-18
Solve.
134)
2(x +7) +8=3(x +6) +9
134)
A)
-5
B)
7
C)
13
D)
10
135)
What number added to 54 is 117?
135)
A)
63
B)
171
C)
13
6
D)
-63
Multiply.
136)
-4(–3x –9y +4)
136)
A)
12x –9y +4
B)
12x +36y –16
C)
12x +36 +4
D)
12x –36y –16
Solve.
137)
6 times what number is 738?
137)
A)
1
123
B)
732
C)
4428
D)
123
Solve using the multiplication principle.
138)
2.4x =4.8
138)
A)
1
2
B)
2
C)
2.8
D)
2.4
Solve.
139)
Shameel left a 15% tip for a meal. The total cost of the meal, including the tip, was $28.75. What
was the cost of the meal before the tip was added?
139)
A)
$24.44
B)
$25.00
C)
$26.00
D)
$191.67
Evaluate.
140)
ab, when a =-9 and b =-15
140)
A)
150
B)
135
C)
144
D)
-144
Solve using the multiplication principle.
141)
– 2
5k =– 8
141)
A)
5
B)
6
C)
20
D)
-3
Solve. Clear decimals first.
142)
1.7x + 1.6 =-20 + 5.3x
142)
A)
4.4
B)
6
C)
4.1
D)
-25
Solve.
143)
192=16x + 16
143)
A)
4
B)
160
C)
11
D)
164
Evaluate.
144)
9x, when x =8
144)
A)
72
B)
98
C)
17
D)
89
Solve.
145)
The height of the tallest building in Anne’s home town is 689 feet, which is about 308 feet taller than
the tallest building in Laurie‘s home town. What is the height of the tallest building in Laurie’s
home town?
145)
A)
494 ft
B)
381 ft
C)
997 ft
D)
308 ft
Solve using the addition principle.
146)
m +5
6=– 1
12
146)
A)
11
12
B)
– 11
12
C)
– 1
10
D)
3
4
Translate to an algebraic expression.
147)
7 less than 5 times a number
147)
A)
5–7x
B)
5x –7
C)
7–5x
D)
7x –5
Solve using the addition principle.
148)
x +20 =19
148)
A)
20
19
B)
1
C)
39
D)
-1
Factor. Check by multiplying.
149)
12x +16y –28
149)
A)
28(x + y) –28
B)
4(3x +16y –7)
C)
4(3x +4y –7)
D)
4(3x +16y –28)
Collect like terms.
150)
2x +12 –10x –10
150)
A)
-8x +12 –10
B)
12x +22
C)
-8x + 2
D)
8x + 2
30
151)
7
3x +5
6y –1
5x –2
5y +19
151)
A)
7
15 x + 1
3y + 19
B)
32
15 x + 1
2y + 19
C)
32
15 x + 37
30y + 19
D)
32
15 x + 13
30y + 19
Solve.
152)
4(x +5) =7(x +2)
152)
A)
13
B)
2
C)
6
D)
20
Solve using the addition principle.
153)
-3.9 =6.1 + x
153)
A)
-10.0
B)
-0.64
C)
2.2
D)
10.0
Collect like terms.
154)
15x –6y +14 –20x –2–2y
154)
A)
-5x – 4y + 12
B)
5x – 4y + 12
C)
-5x – 8y + 12
D)
5x – 8y + 12
155)
3x +12x
155)
A)
30x
B)
36x
C)
15x2
D)
15x
31
Solve.
156)
4.7x –5.1x =-6
156)
A)
17
B)
14
C)
15
D)
16
157)
The second angle of a triangle is 4 times as large as the first. The third angle is 130° more than the
sum of the other two angles. Find the measure of the second angle.
157)
A)
Second: 25°
B)
Second: 11
4°
C)
Second: 5°
D)
Second: 20°
158)
2x –3=96 –9x
158)
A)
–9
B)
– 93
7
C)
– 99
7
D)
9
Collect like terms.
159)
7x –2x
159)
A)
5x
B)
5x2
C)
-5x
D)
9x
Solve using the multiplication principle.
160)
10 =2x
160)
A)
8
B)
5
C)
1
5
D)
20
32
Solve.
161)
3.6x +14.1x =283.2
161)
A)
16
B)
18
C)
15
D)
17
Solve using the multiplication principle.
162)
-8s =-136
162)
A)
128
B)
-128
C)
17
D)
2
Solve.
163)
9x +2x =55
163)
A)
5
B)
55
9
C)
44
D)
55
18
Solve using the multiplication principle.
164)
–x =20
164)
A)
1
20
B)
–20
C)
21
D)
20
Multiply.
165)
–(3x – 3)
165)
A)
–3x + 3
B)
–3x – 3
C)
9x
D)
3x – 3
Translate to an algebraic expression.
166)
The sum of a number and 130
166)
A)
130– x
B)
130
C)
x +130
D)
130x
Solve using the multiplication principle.
167)
–4.9y =34.3
167)
A)
-29.4
B)
-7
C)
– 1
7
D)
-27.3
168)
47.8t = –239
168)
A)
-234
B)
– 1
5
C)
-191.2
D)
-5
Multiply.
169)
3.9(-3.5x +4.3y –3.6)
169)
A)
13.65x +16.77y –14.04
B)
-13.65x +16.77y –14.04
C)
-13.65x +16.77y –3.6
D)
-13.65x +4.3y –3.6
Solve.
170)
A triangular lake–front lot has a perimeter of 2300 feet. The second side is 300 feet longer than the
first side, while the third side is 500 feet longer than the first side. Find the lengths of all three sides.
170)
A)
First: 100 ft; second: 200 ft; third: 300 ft
B)
First: 600 ft; second: 900 ft; third: 1100 ft
C)
First: 500 ft; second: 800 ft; third: 1000 ft
D)
First: 600 ft; second: 600 ft; third: 600 ft
Factor. Check by multiplying.
171)
10a +15b
171)
A)
5(3a +2b)
B)
5(3a +10b)
C)
5(2a +3b)
D)
5(2a +15b)
Solve.
172)
5x – (2x +12) =9
172)
A)
8
B)
7
C)
9
D)
6
Solve using the addition principle.
173)
–1
6+ z = – 1
11
173)
A)
1
6
B)
1
66
C)
–5
66
D)
5
66
174)
8(x – y) and 8x –8y when x =16 and y =11
174)
A)
40, 40
B)
117, 40
C)
117, 112
D)
117, 117
Solve using the addition principle.
175)
m + 1 1
4=52
5
175)
A)
– 4 3
20
B)
53
20
C)
613
20
D)
43
20
35
Solve using the multiplication principle.
176)
–1
3z =1
8
176)
A)
3
8
B)
–31
8
C)
–3
8
D)
–8
3
Solve.
177)
7x +7=3x + 27
177)
A)
5
B)
17
5
C)
7
D)
2
Solve. Clear fractions first.
178)
1
9y + 1 =7
178)
A)
–56
B)
–54
C)
56
D)
54
Solve using the addition principle.
179)
y –5.2 =3.3
179)
A)
-1.9
B)
17.16
C)
-8.5
D)
8.5
Solve. Clear fractions first.
180)
x +1
3+9
8x =5
2+3
4x
180)
A)
19
11
B)
53
39
C)
4
3
D)
52
33
36
Solve using the addition principle.
181)
-28 + n =16
181)
A)
-44
B)
12
C)
-12
D)
44
Collect like terms.
182)
-3m + m
182)
A)
–2m
B)
–3m2
C)
–4m
D)
2m
Solve using the multiplication principle.
183)
–1
2y =28
183)
A)
–30
B)
–54
C)
–28
D)
–56
Solve using the addition principle.
184)
15 = b + 13
184)
A)
-28
B)
28
C)
2
D)
-2
Solve. Clear fractions first.
185)
x +1
2x =6
185)
A)
4
B)
7
C)
12
D)
2
37
Translate to an algebraic expression.
186)
The price of a jacket is decreased by 35% during a sale. Let x represent the price of the jacket before
the reduction. Write an expression for the sale price.
186)
A)
x –0.35
B)
0.65x
C)
0.35x
D)
x –35
Solve using the addition principle.
187)
23
7+ x =11
187)
A)
84
7
B)
–94
7
C)
–84
7
D)
133
7
188)
-20 + t = –12
188)
A)
-32
B)
32
C)
8
D)
-8
Solve using the multiplication principle.
189)
–22.3m = –423.7
189)
A)
19
B)
401.4
C)
1
19
D)
404.7
Solve. Clear decimals first.
190)
-9q + 2 =-48.4 – 1.8q
190)
A)
-58
B)
5.6
C)
7
D)
5.8
38
Solve.
191)
–4n – 6 =26
191)
A)
–8
B)
32
C)
8
D)
–28
192)
3(1 – y)
192)
A)
3+3y
B)
3–3y
C)
3– y
D)
1 –3y
Solve using the addition principle.
193)
18 = b – 14
193)
A)
32
B)
4
C)
-32
D)
-4
Solve.
194)
-7 =4y +5
194)
A)
-3
B)
– 27
4
C)
-16
D)
– 1
2
Multiply.
195)
5
6(x –8y –4z)
195)
A)
5
6x – 20
3y +4z
B)
5
6x – 8y – 4z
C)
5
6x – 5
48 y – 5
24 z
D)
5
6x – 20
3y – 10
3z
Multiply.
Solve.
196)
Kevin invested money in a savings account at a rate of 5% simple interest. After one year, he has
$4452.00 in the account. How much did Kevin originally invest?
196)
A)
$4447.00
B)
$46.86
C)
$4686.32
D)
$4240.00
Solve. Clear decimals first.
197)
19.6t +156.8 =58.8t +470.4
197)
A)
8
B)
32
C)
-32
D)
-8
Solve using the multiplication principle.
198)
m
–4=11
198)
A)
–40
B)
–44
C)
–33
D)
–15
Solve. Clear decimals first.
199)
1.2y + 3.9 =0.7y + 0.55
199)
A)
-6.7
B)
-6.633
C)
0.149
D)
-6.69
Solve using the addition principle.
200)
22 + x = –21
200)
A)
-1
B)
43
C)
1
D)
–43
40
Solve.
201)
-23 – (3y + 1) =3(y – 2) + 3y
201)
A)
– 6
B)
– 1
2
C)
-2
D)
– 20
9
Translate to an algebraic expression.
202)
Seventy–nine less than eight times a number
202)
A)
8x –79
B)
79x –8
C)
79 –8x
D)
8–79x
Solve using the addition principle.
203)
91
5= – 40 + z
203)
A)
–304
5
B)
491
5
C)
494
5
D)
–311
5
Solve.
204)
7r + 3 =73
204)
A)
10
B)
7
C)
63
D)
67
205)
27 =10x – 3
205)
A)
24
B)
5
C)
3
D)
20
Solve using the addition principle.
206)
q +1
5= – 1
25
206)
A)
6
25
B)
–6
25
C)
2
25
D)
–1
15
Solve.
207)
Elaine was cooking dinner for some friends. She went out to do the shopping and spent $60. She
spent twice as much on food as on drinks. How much did she spend on each?
207)
A)
Drinks: $20; food: $40
B)
Drinks: $15; food: $45
C)
Drinks: $15; food: $30
D)
Drinks: $30; food: $60
208)
0.8(5x + 15) =2.9 – (x + 3)
208)
A)
– 61
30
B)
– 61
50
C)
– 121
50
D)
– 118
41
Solve. Clear fractions first.
209)
21
20x +1
20x =9x +1
10 +19
20x
209)
A)
– 2
177
B)
2
183
C)
1
177
D)
– 1
177
Solve.
210)
3–9x =2x –8x – 3
210)
A)
1
B)
2
C)
0
D)
1
5
211)
One half of a number is 2 more than one–sixth the same number. What is the number?
211)
A)
8
B)
12
C)
6
D)
4
Evaluate.
212)
8x +5y
9, when x =54 and y =72
212)
A)
53
B)
408
C)
88
D)
56
213)
3p
q, when p =-45 and q =-5
213)
A)
-27
B)
27
C)
15
D)
-15
Answer Key
Testname: C11
Answer Key
Testname: C11
Answer Key
Testname: C11
Answer Key
Testname: C11
Answer Key
Testname: C11