Exam
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Decide if the given number is a solution to the given equation.
1)
5x =40; 7
A)
No
B)
Yes
2)
x
5=9; 45
A)
No
B)
Yes
3)
p + 13 =18; 5
A)
No
B)
Yes
4)
p – 6 =4; 10
A)
No
B)
Yes
5)
3m + 5 =16; 3
A)
Yes
B)
No
6)
3p + 6p – 8 =10; 2
A)
Yes
B)
No
Solve the equation using the addition principle.
7)
b– 8 =-6
A)
-14
B)
14
C)
2
D)
-2
8)
m+ 2 =7
A)
–9
B)
–5
C)
9
D)
5
9)
9=a+ 2
A)
–7
B)
11
C)
–11
D)
7
10)
-3 =x– 5
A)
-2
B)
-8
C)
8
D)
2
11)
a– 8.46 = 0
A)
8.46
B)
7.46
C)
–8.46
D)
–7.46
12)
–1+a=16
A)
15
B)
-17
C)
17
D)
-15
13)
20 =-12 + a
A)
-8
B)
-32
C)
32
D)
8
14)
–16.9 =21.9 + z
A)
–38.8
B)
38.8
C)
5
D)
-5
15)
1
5+ x =10
A)
49
5
B)
49
C)
51
5
D)
9
5
16)
x+
7
9=
8
9
A)
1
B)
5
3
C)
1
9
D)
7
9
17)
m–
2
5=
1
2
A)
2
5
B)
1
10
C)
9
10
D)
1
18)
t+13
4=21
2
A)
17
4
B)
3
C)
9
4
D)
3
4
19)
x –
11
18 = –
1
2
A)
–
10
9
B)
10
9
C)
1
9
D)
–
1
9
Solve using the multiplication principle.
20)
3x =30
A)
27
B)
90
C)
1
10
D)
10
21)
32 =4x
A)
1
8
B)
128
C)
8
D)
28
22)
–x =-9
A)
-8
B)
– 1
9
C)
-9
D)
9
23)
8a =-56
A)
-64
B)
1
C)
-7
D)
64
24)
54 =-9k
A)
1
B)
-63
C)
-6
D)
63
25)
-2x =-14
A)
-12
B)
12
C)
7
D)
2
26)
3b =-33
A)
36
B)
1
C)
-36
D)
-11
27)
-38 =2z
A)
40
B)
1
C)
-19
D)
-40
28)
-112 =-8n
A)
14
B)
104
C)
2
D)
-104
29)
-4s =-60
A)
2
B)
56
C)
-56
D)
15
30)
x
6=25
A)
144
B)
125
C)
31
D)
150
31)
– t
4=14
A)
–56
B)
–18
C)
–52
D)
–42
32)
m
–2=12
A)
–12
B)
–14
C)
–24
D)
–22
33)
1
9x =12
A)
21
B)
96
C)
108
D)
99
34)
–1
3y =16
A)
–19
B)
–32
C)
–48
D)
–45
35)
6
7x =48
A)
330
7
B)
56
C)
342
7
D)
288
7
36)
3
5k =6
A)
8
B)
1
C)
10
D)
7
37)
1
8=
4
9x
A)
18
B)
1
18
C)
32
9
D)
9
32
38)
–1
7z =1
8
A)
–7
8
B)
–71
8
C)
–8
7
D)
7
8
39)
– 2
5t=
5
9
A)
25
18
B)
– 25
9
C)
– 18
25
D)
– 25
18
40)
8
7x =– 48
35
A)
– 3
10
B)
– 32
15
C)
– 6
5
D)
– 15
32
41)
– 4
15 y =– 16
9
A)
15
16
B)
5
12
C)
20
3
D)
16
15
42)
5.7x =22.8
A)
1
4
B)
18.8
C)
17.1
D)
4
43)
21.7 =3.1y
A)
14.7
B)
7
C)
1
7
D)
18.6
44)
–9.9y =89.1
A)
-9
B)
-79.2
C)
– 1
9
D)
-80.1
45)
2.9t = – 20.3
A)
-17.4
B)
-13.3
C)
– 1
7
D)
-7
46)
–59.2 =7.4z
A)
-51.2
B)
– 1
8
C)
-51.8
D)
-8
47)
–7.2m = – 14.4
A)
1
2
B)
2
C)
12.4
D)
7.2
48)
14.7x =220.5
A)
205.5
B)
1
15
C)
15
D)
205.8
49)
–43.7y =699.2
A)
-655.5
B)
-683.2
C)
-16
D)
– 1
16
50)
13.5t = – 256.5
A)
-243
B)
-237.5
C)
– 1
19
D)
-19
51)
–31.5m = – 409.5
A)
378
B)
396.5
C)
13
D)
1
13
52)
1
13 b =-4.34
A)
7.66
B)
8.66
C)
-3.00
D)
-56.42
53)
–7
3x = – 61.25
A)
26.25
B)
19.25
C)
12.25
D)
58.25
54)
–2
7x =17.48
A)
–61.18
B)
–10.48
C)
–5.26
D)
–59.18
Solve.
55)
5r + 10 =60
A)
49
B)
10
C)
45
D)
2
56)
7n – 8 =48
A)
14
B)
53
C)
8
D)
49
57)
37 =5x – 8
A)
44
B)
15
C)
40
D)
9
58)
156 =14x + 16
A)
126
B)
130
C)
10
D)
4
59)
5x +3=-22
A)
-30
B)
-5
C)
– 4
D)
– 19
5
60)
3+ 4p =5
A)
7
4
B)
1
2
C)
2
D)
– 1
2
61)
-7x –5=–103
A)
14
B)
-14
C)
-91
D)
108
7
62)
–7n – 3 =39
A)
–35
B)
–6
C)
6
D)
39
63)
–15 = – 3x + 6
A)
7
B)
22
C)
–7
D)
18
64)
1
4f – 4 = 1
A)
-21
B)
-20
C)
20
D)
21
65)
1
2a –1
2=-4
A)
-7
B)
9
C)
-9
D)
7
66)
11x +4x =30
A)
15
B)
30
11
C)
15
22
D)
2
67)
-4x –7x =-77
A)
8
B)
7
C)
-66
D)
-7
68)
8y + 4 =6y
A)
2
B)
-2
C)
– 2
7
D)
2
7
69)
8x +5=6x + 17
A)
11
7
B)
8
C)
6
D)
6
7
70)
3x –9=75 –9x
A)
7
B)
– 14
C)
–7
D)
– 11
71)
5y –7=9+ y
A)
1
2
B)
1
3
C)
8
3
D)
4
72)
2–5x =3x –6x – 12
A)
3
2
B)
5
4
C)
6
D)
7
73)
–4a + 4 + 5a =6– 27
A)
37
B)
-37
C)
25
D)
-25
74)
–7b + 7 + 5b = – 3b + 12
A)
-12
B)
5
C)
12
D)
-7
75)
6x –8+7x =5x + 94 –9x
A)
6
B)
5
C)
8
D)
7
Solve. Clear fractions first.
76)
1
14 y – 1 =2
A)
44
B)
–42
C)
–44
D)
42
77)
3
2y –90 =-36
A)
-36
B)
3
C)
36
D)
84
78)
x +1
4x =25
A)
5
B)
23
C)
20
D)
100
79)
2
5x –1
3x =2
A)
-30
B)
60
C)
30
D)
-60
80)
1
3r +2=1
6r +
4
3
A)
4
B)
3
C)
-12
D)
-4
81)
5
6+1
7x =8
A)
18
7
B)
287
6
C)
7
2
D)
301
6
82)
1
2+2y =3y –
7
6
A)
1
3
B)
– 2
3
C)
5
3
D)
4
3
83)
3
4x –1
2x =
3
4x + 1
A)
– 2
B)
1
C)
– 1
8
D)
16
7
84)
x +7
3+1
8x =7
2+3
4x
A)
35
9
B)
28
9
C)
28
15
D)
7
3
85)
13
12 x +1
12 x =10x +1
6+11
12 x
A)
– 1
117
B)
1
117
C)
2
123
D)
– 2
117
Solve.
86)
11.6x +10.2x =261.6
A)
11
B)
13
C)
12
D)
14
87)
9.9y –7.1y =47.6
A)
17
B)
19
C)
16
D)
18
88)
9.4x –14.7x =-79.5
A)
16
B)
15
C)
17
D)
14
Solve. Clear decimals first.
89)
44.1t +396.9 =25.2t +226.8
A)
-27
B)
-9
C)
27
D)
9
90)
2x + 1.1 =-44.5 + 9.6x
A)
5.0
B)
4.8
C)
6
D)
-53
91)
1.4y – 3.7 =0.6y + 2.54
A)
8.58
B)
7.8
C)
-0.128
D)
7.9
92)
-11.2q + 1.4 =-77.8 – 1.3q
A)
8
B)
7.1
C)
-89
D)
7.2
93)
27.2y –190.4 =47.6y –333.2
A)
-7
B)
7
C)
-21
D)
21
94)
8.64x +69.12 =5.76x +46.08
A)
-16
B)
-8
C)
16
D)
8
95)
2.88t –20.16 =5.76t –40.32
A)
14
B)
-14
C)
-7
D)
7
96)
5.52y –38.64 +9.2y =11.04y –77.28 +64.4
A)
-21
B)
7
C)
-7
D)
21
Solve.
97)
7(x – 28) =14
A)
14
B)
26
C)
30
D)
28
98)
8x – (4x – 1) =2
A)
–
1
4
B)
–
1
12
C)
1
4
D)
1
12
99)
3(3x – 1) =12
A)
1
B)
13
9
C)
11
9
D)
5
3
D
100)
2(2z – 2) =3(z + 5)
A)
13
B)
19
C)
-11
D)
11
B
101)
1
5(10x – 15) =1
4(12x – 8)
A)
1
B)
1
6
C)
–6
D)
–1
D
102)
(y – 5) – (y + 4) =4y
A)
–
9
4
B)
–
1
4
C)
–
9
2
D)
–
1
2
A
103)
4(15x – 20) =5(16x – 12)
A)
1
7
B)
–7
C)
1
D)
–1
D
104)
3(x +6) +11 =4(x +5) +12
A)
11
B)
-3
C)
7
D)
15
B
105)
9–2(x +5) =13 –6(x +1)
A)
10
B)
4
C)
2
D)
16
C
106)
3[3 – 3(x + 1)] + 1 = 2(-23 – x) + 2x +23
A)
0
B)
8
C)
8
6
D)
8
3
D
107)
0.9(5x + 15) =2.3 – (x + 3)
A)
– 142
55
B)
– 62
23
C)
36
7
D)
18
55
11
C
108)
3.5(x +2.5) –7.5 =2(x +4) –6
A)
8.5
B)
12.5
C)
10.5
D)
0.5
109)
14.1 –7.1(x +0.9) =12 –5(x +3)
A)
21.1
B)
5.1
C)
11.1
D)
16.1
B
110)
3x –7+5x –3=5x +3x +10
A)
0
B)
10
C)
All real numbers
D)
No solution
D
111)
–9+ x = x –9
A)
0
B)
No solution
C)
18
D)
All real numbers
D
112)
4(x + 6) – (4x + 24) = 0
A)
All real numbers
B)
6
C)
No solution
D)
0
A
113)
5(2f – 31) = 10f – 155
A)
All real numbers
B)
0
C)
No solution
D)
1
A
114)
4(2g – 27) – 8g + 108 = 0
A)
All real numbers
B)
–2
C)
2
D)
No solution
A
115)
4k + 30 =2(2k + 13)
A)
2
B)
–2
C)
No solution
D)
All real numbers
C
116)
-15s + 34 + 3(5s – 9) = 0
A)
5
B)
1
C)
No solution
D)
All real numbers
C
117)
23 – (4– 5r) – r =-8 + 3(2 + 3r)
A)
All real numbers
B)
No solution
C)
-4
D)
8
A
Evaluate the formula for the given values of the variables.
118)
P = 2L + 2W; L =3 in., W =8 in.
A)
P =11 in.
B)
P =96 in.
C)
P =22 in.
D)
P =48 in.
C
119)
d = rt; r =56 miles per hour, t =6 hours
A)
d =28
3 miles
B)
d =62 miles
C)
d =672 miles
D)
d =336 miles
D
120)
When all n teams in a league play every other team twice, a total of N games are played, where N =n2– n. A
basketball league has 8 teams and all teams play each other twice. How many games are played?
A)
56 games
B)
8 games
C)
24 games
D)
72 games
Solve.
121)
A =1
2bh for h
A)
h=Ab
2
B)
h=A
2b
C)
h=b
2A
D)
h=2A
b
122)
V =1
3Bh for h
A)
h=3B
V
B)
h=V
3B
C)
h=B
3V
D)
h=3V
B
123)
F =9
5C + 32 for C
A)
C =9
5(F – 32)
B)
C =F – 32
9
C)
C =5
F – 32
D)
C =5
9(F – 32)
124)
a + b = s + r for s
A)
s=a
r+ b
B)
s=r(a + b)
C)
s=a + b
r
D)
s= a + b – r
125)
x =w + y + z
6 for y
A)
y =6x – w – z
B)
y =6x –6w –6z
C)
y = x – w – z –6
D)
y =6x + w + z
126)
V =14s3 for s3
A)
s3=14V
B)
s3= V –14
C)
s3=14
V
D)
s3=V
14
Solve the problem. Round to the nearest hundredth, if necessary.
127)
What is 10% of 700?
A)
70
B)
7
C)
0.7
D)
700
128)
What is 5% of 600?
A)
30
B)
0.3
C)
3
D)
300
129)
What is 38% of 1679?
A)
6380.2
B)
63,802
C)
63.8
D)
638.02
130)
What is 89% of 442?
A)
393.38
B)
39.34
C)
3933.8
D)
39,338
131)
What number is 8.1% of 24?
A)
19.4
B)
1.94
C)
194
D)
0.19
132)
What number is 7000% of 431?
A)
3017
B)
30,170
C)
301,700
D)
3,017,000
133)
What number is 180% of 427?
A)
76,860
B)
768.6
C)
7686
D)
76.86
134)
57 is 90% of what number?
A)
633.3
B)
63.33
C)
51.3
D)
6.33
135)
17 is 7% of what number?
A)
119
B)
24.29
C)
2428.6
D)
242.86
136)
33% of what number is 81?
A)
0.41
B)
245.45
C)
2454.5
D)
41
137)
10% of what number is 91?
A)
91
B)
9100
C)
9.1
D)
910
138)
86 is 114% of what number?
A)
75.44
B)
129.96
C)
754.4
D)
12,996
Solve the problem. Round to the nearest tenth of a percent.
139)
939 is what percent of 1810?
A)
51.9%
B)
0.1%
C)
0.5%
D)
192.8%
140)
990 is what percent of 742?
A)
74.9%
B)
133.4%
C)
1.3%
D)
0.1%
141)
4.1 is what percent of 20.9?
A)
19.6%
B)
0.2%
C)
509.8%
D)
5.1%
142)
What percent of 2089 is 24?
A)
1.1%
B)
11.5%
C)
21.5%
D)
8704.2%
143)
What percent of 8 is 0.04?
A)
0.5%
B)
5.0%
C)
200.0%
D)
50.0%
144)
What percent of 187 is 11.7?
A)
6.3%
B)
1598.3%
C)
0.2%
D)
0.1%
145)
What percent of 52 is 737?
A)
141.7%
B)
0.7%
C)
1417.3%
D)
0.1%
146)
84.8 is what percent of 9?
A)
10.6%
B)
942.2%
C)
9422.0%
D)
1.1%
147)
What percent of 29 is 29?
A)
0%
B)
100%
C)
1%
D)
200%
148)
What percent of 110 is 55?
A)
2%
B)
50%
C)
200%
D)
0%
Answer the question.
149)
In a school survey, students showed these preferences for instructional materials. Answer the question.
About how many students would you expect to prefer computers in a school of 500 students?
A)
About 90 students
B)
About 100 students
C)
About 36 students
D)
About 180 students
150)
In a school survey, students showed these preferences for instructional materials. Answer the question.
About how many students would you expect to prefer written materials in a school of 500 students?
A)
About 45 students
B)
About 9 students
C)
About 180 students
D)
About 90 students
Solve the problem.
151)
The parking lot at a grocery store has 60 cars in it. 45% of the cars are blue. How many cars are blue?
A)
13 cars
B)
27 cars
C)
133 cars
D)
270 cars
152)
A chemical solution contains 3% salt. How much salt is in 4 mL of solution?
A)
1.2 mL
B)
133.333 mL
C)
13.333 mL
D)
0.12 mL
153)
During one year, the Larson’s real estate bill included $434 for local schools. Of this amount, $125 went to the
high school district. What percent did the Larsons pay to the high school district? (Round answer to two decimal
places.)
A)
12.50%
B)
28.80%
C)
71.20%
D)
28.57%
154)
During one year, the Green’s real estate bill included $315 for city services. The fire department received 23% of
that amount. How much money went to the fire department?
A)
$72.45
B)
$52.45
C)
$77.00
D)
$7.25
155)
During one year, the Cheung’s real estate bill included $200 for county services. Of this amount, $112 went to
the highway department. What percent did the county highway department receive? (Round answer to two
decimal places.)
A)
56.00%
B)
44.00%
C)
11.20%
D)
55.50%
156)
During one year, the Schmidt’s real estate bill included $268 for miscellaneous services. Of this amount, 65%
went to the library fund. How much money did the library receive?
A)
$75.75
B)
$154.20
C)
$174.20
D)
$147.40