Write the answer to the problem as an algebraic expression.
81)
Susan has 8 cats. She gave p to her lonely aunt. How many does she have left?
81)
A)
8+ p cats
B)
p+ 8 cats
C)
8– p cats
D)
p– 8 cats
Solve the problem.
82)
The sum of three consecutive even integers is 222. Find the integers.
82)
A)
67, 68, 69
B)
76, 78, 80
C)
74, 76, 78
D)
72, 74, 76
Graph the inequality.
83)
–2< x <2
83)
A)
B)
C)
D)
Solve the equation.
84)
s+ 7 =8
84)
A)
{–1}
B)
{15}
C)
{–15}
D)
{1}
19
Solve the formula for the specified variable.
85)
A =1
2h(b1+ b2) for b1
85)
A)
b1=
A – h(b2)
2h
B)
b1=
h(b2) – 2A
h
C)
b1=
(b2)2A – h
h
D)
b1=
2A – (h)(b2)
h
A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not
given. Round to the nearest hundredth where necessary.
86)
P = 2L + 2W; P =24, W =7
86)
A)
8.5
B)
12
C)
17
D)
5
Solve the equation.
87)
–15 =b– 27
87)
A)
{–12}
B)
{–42}
C)
{42}
D)
{12}
Solve the inequality, then graph the solution.
88)
a + 3 < – 7
88)
A)
( , –10)
B)
(–10, )
C)
[–10, )
D)
( , –10]
Solve the equation.
89)
3y + 10 = – 6+ 6y
89)
A)
16
3
B)
–3
16
C)
3
16
D)
9
4
Write the inequality in interval notation.
90)
x <5
90)
A)
( , 5]
B)
(5, )
C)
( , 5)
D)
[5, )
Solve the equation.
91)
3x + 2 =7x – 9
91)
A)
–4
11
B)
11
4
C)
4
11
D)
–11
4
D)
Solve the problem.
92)
A high school graduating class is made up of 518 students. There are 70 more girls than boys. How
many boys are in the class?
92)
A)
224 boys
B)
294 boys
C)
70 boys
D)
518 boys
A
D)
Solve the equation.
93)
4a = – 8
93)
A)
{1}
B)
{12}
C)
{–12}
D)
{–2}
D
D)
94)
9=m+ 4
94)
A)
{13}
B)
{5}
C)
{–5}
D)
{–13}
B
D)
95)
5(3x + 3) + 4(–4+ 4x) =3(10x – 5) + 6
95)
A)
{–8}
B)
{–10}
C)
{10}
D)
{0}
A
D)
22
B
Solve the inequality, then graph the solution.
96)
9(x – 4) – 83x < – 8(9x + 8) – 3x
96)
A)
( , 28)
B)
( , –28)
C)
(–28, )
D)
(28, )
Solve the equation by first clearing the decimals.
97)
0.95x +0.99(18 – x) =17.46
97)
A)
{–9}
B)
{9}
C)
{0.09}
D)
{–0.09}
Write the inequality in interval notation.
98)
–4
x <0
98)
A)
[–4, 0)
B)
(–4, 0]
C)
[–4, 0]
D)
(–4, 0)
Determine the number by which both sides of the equation must be multiplied or divided, as specified, to obtain just x
on the left side.
99)
0.5x =8; multiply by
99)
A)
0.5
B)
2
C)
–5
8
D)
8
Solve the inequality, then graph the solution.
100)
–12 + 5t – 8 4t – 18
100)
A)
[2 , )
B)
(5, )
C)
( , 5)
D)
( , 2]
Write an inequality using the variable x that corresponds to the set graphed on the number line.
101)
101)
A)
–4
x <0
B)
–4< x 0
C)
–4< x <0
D)
–4
x 0
Solve the inequality, then graph the solution.
102)
–1(–8x + 8) – 6(x – 18) > – 1(–8x – 10) – 8(x – 14)
102)
A)
( , –11)
B)
(11, )
C)
(–11, )
D)
( , 11)
Solve the problem.
103)
One side of a triangle is twice as long as a second side. The third side of the triangle is 16 feet long.
The perimeter of the triangle cannot be more than 43 feet. Find the longest possible values for the
other two sides of the triangle.
103)
A)
8 feet and 16 feet
B)
30 feet and 30 feet
C)
9 feet and 18 feet
D)
14 feet and 14 feet
Determine the number by which both sides of the equation must be multiplied or divided, as specified, to obtain just x
on the left side.
104)
9x = – 8; divide by
104)
A)
9
B)
9
10
C)
–8
D)
–9
Solve the equation.
105)
n
3=8
105)
A)
{24}
B)
{2}
C)
{10}
D)
{11}
A formula is given along with the values of all but one of the variables in the formula. Find the value of the variable not
given. Round to the nearest hundredth where necessary.
106)
d = rt; t =5, d =35
106)
A)
40
B)
7
C)
0.1
D)
30
Write the answer to the problem as an algebraic expression.
107)
The product of two numbers is 15. One of the numbers is q. What is the other number.
107)
A)
q
15
B)
15q
C)
15 – q
D)
15
q
Solve the problem.
108)
A reservation clerk worked 11.25 hours one day. She spent twice as much time entering new
reservations as she did verifying old ones and one and a half as much time calling to confirm
reservations as verifying old ones. How much time did she spend entering new reservations?
108)
A)
2.5 hours
B)
10 hours
C)
3.75 hours
D)
5 hours
109)
Paul has grades of 95 and 80 on his first two tests. What must he score on his third test in order to
have an average of at least 90?
109)
A)
at least 95
B)
at most 90
C)
at most 88
D)
at least 88
110)
A merchant has coffee worth $40 a pound that she wishes to mix with 30 pounds of coffee worth
$90 a pound to get a mixture that can be sold for $70 a pound. How many pounds of the $40 coffee
should be used?
110)
A)
25 pounds
B)
20 pounds
C)
50 pounds
D)
10 pounds
111)
The sum of three consecutive integers is 501. Find the integers.
111)
A)
167, 168, 169
B)
165, 166, 167
C)
165, 167, 169
D)
166, 167, 168
Solve the equation.
112)
3b = – 45
112)
A)
{–48}
B)
{–15}
C)
{48}
D)
{1}
Solve the inequality, then graph the solution.
113)
12x – 27 3(3x – 7)
113)
A)
[2, )
B)
( , 2)
C)
(2, )
D)
( , 2]
Solve the problem.
114)
The perimeter of a rectangle must be no greater than 64 meters. The width must be 14 meters. Find
the greatest possible value for the length of the rectangle.
114)
A)
46 meters
B)
78 meters
C)
50 meters
D)
18 meters
Solve the equation by first clearing the decimals.
115)
0.03(1000) +0.05x =0.045(1000 + x)
115)
A)
{3}
B)
{300}
C)
{30}
D)
{3000}
Use a formula to solve the problem.
116)
A pie–shaped (triangular) lake–front lot has a perimeter of 1000 feet. One side is 100 feet longer
than the shortest side, while the third side is 300 feet longer than the shortest side. Find the lengths
of all three sides.
116)
A)
300 ft, 300 ft, 300 ft
B)
100 ft, 200 ft, 300 ft
C)
200 ft, 300 ft, 500 ft
D)
300 ft, 400 ft, 600 ft
Solve the inequality, then graph the solution.
117)
f – 5 < – 3
117)
A)
[2, )
B)
(2, )
C)
( , 2]
D)
( , 2)
Solve the equation.
118)
–6b + 4 + 4b = – 3b + 9
118)
A)
{4}
B)
{–5}
C)
{–4}
D)
{5}
Solve the problem.
119)
Junior high classes of 25 students each met in the cafeteria to take achievement tests. If exactly 5
students sat at each table and 15 tables were used, how many classes took the tests?
119)
A)
6 classes
B)
16 classes
C)
3 classes
D)
5 classes
120)
Jon has 589 points in his math class. He must have 75% of the 1000 points possible by the end of the
term to receive credit for the class. What is the minimum number of additional points he must earn
by the end of the term to receive credit for the class?
120)
A)
442 points
B)
750 points
C)
411 points
D)
161 points
Solve the inequality, then graph the solution.
121)
3
4t –24
121)
A)
[32, )
B)
( , –32]
C)
( , 32]
D)
[–32, )
Solve the problem.
122)
The difference between two positive integers is 58. One integer is three times as great as the other.
Find the integers.
122)
A)
87 and 145
B)
29 and 58
C)
29 and 87
D)
58 and 87
Find the measure of each marked angle.
123)
(5x +9)°
(2x +48)°
123)
A)
74° and 74°
B)
83° and 83°
C)
74° and 106°
D)
74° and 16°
Solve the equation by first clearing the fractions.
124)
1
4f – 3 = 1
124)
A)
{16}
B)
{–16}
C)
{–8}
D)
{8}
D)
Solve the problem.
125)
If –5 is added to a number and the sum is doubled, the result is 4 less than the number. Find the
number.
125)
A)
–14
B)
6
C)
14
D)
9
D)
Answer the question.
126)
The following statement would be considered a step in solving an applied problem. True or false?
Always draw a figure or diagram.
126)
A)
False
B)
True
D)
Use a formula to solve the problem.
127)
A rectangular Persian carpet has a perimeter of 184 inches. The length of the carpet is 24 inches
more than the width. What are the dimensions of the carpet?
127)
A)
68 in. by 92 in.
B)
58 in. by 82 in.
C)
80 in. by 104 in.
D)
34 in. by 58 in.
Answer Key
Testname: C10
Answer Key
Testname: C10
Answer Key
Testname: C10