Solve the problem.
94)
If the first and third of three consecutive odd integers are added, the result is 69 less than five times
the second integer. Find the third integer.
94)
A)
21
B)
23
C)
46
D)
25
Decide whether the perimeter or area would be used to solve a problem concerning the measure of the quantity.
95)
Measuring a room for baseboards
95)
A)
Perimeter
B)
Area
Solve the equation.
96)
6– (x –3) = – 4x +3(x +5)
96)
A)
3
B)
– 3
C)
{all real numbers}
D)
Write each inequality in interval notation and graph the interval on a number line.
97)
x< – 4
97)
A)
(–4, )
B)
(–, –4]
C)
[–4, )
D)
(–, –4)
Solve the equation.
98)
3(x + 3) = (3x + 9)
98)
A)
{all real numbers}
B)
{18]
C)
{0}
D)
{}
99)
–0.36(5000) + 0.4x =0.02(5000 + x)
99)
A)
{5100}
B)
{4900}
C)
{5000}
D)
{2500}
C
Translate the statement into an inequality. Use x as the variable.
100)
Ethan could spend at most 60 minutes per day playing video games.
100)
A)
x >60
B)
x 60
C)
x 60
D)
x <60
C
Solve the equation.
101)
x +9
8=7
2
101)
A)
19
B)
{38}
C)
37
D)
47
2
A
102)
0.25(x + 50) + 0.45(x + 35) = – 31.25
102)
A)
{–85}
B)
{15}
C)
{85}
D)
{–15}
A
22
A
Find the best buy and give the unit price.
103)
Brand A 24 oz for $12.24
Brand B 20 oz for $10.00
103)
A)
Equal value
B)
Brand A, $0.51
C)
Brand B, $0.50
D)
Brand A, $0.50
Solve the equation.
104)
(y – 8) – (y + 4) =7y
104)
A)
–2
B)
–3
7
C)
–12
7
D)
–3
2
Solve the problem.
105)
A paint mixture contains 43 gallons of base for every gallon of color. In 1584 gallons of paint, how
many gallons of color are there?
105)
A)
1548 gallons
B)
792 gallons
C)
528 gallons
D)
36 gallons
Solve the equation. First simplify the expression by combining like terms.
106)
–7b + 8 + 5b = – 3b + 13
106)
A)
{ –8 }
B)
{ 13 }
C)
{ 5 }
D)
{ –13 }
Solve the problem.
107)
A woman has $1.70 in dimes and nickels. She has 2 more dimes than nickels. How many nickels
does she have?
107)
A)
12 nickels
B)
14 nickels
C)
8 nickels
D)
10 nickels
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.
108)
–5x = – 1; divided
108)
A)
–1
2
B)
–1
C)
–5
D)
5
Use a formula to solve the problem.
109)
Find the area of a triangle with height 17 m and base 19 m.
109)
A)
323 m2
B)
646 m2
C)
18 m2
D)
161.5 m2
Solve the problem.
110)
If Gloria received a 12 percent raise and is now making $22,400 a year, what was her salary before
the raise? Round to the nearest dollar if necessary.
110)
A)
$21,000
B)
$19,712
C)
$20,000
D)
$20,400
111)
In a sample of 72 widgets, 8 were defective. How many defective widgets would you expect in a
sample of 216 widgets?
111)
A)
54 widgets
B)
27 widgets
C)
24 widgets
D)
22 widgets
112)
For what values of x would the rectangle have a perimeter of at least 260?
4x +1
5x +12
112)
A)
27 or greater
B)
27 or less
C)
13 or greater
D)
13 or less
Translate the statement into an inequality. Use x as the variable.
113)
You must be at least 49 inches tall to ride this roller coaster.
113)
A)
x <49
B)
x 49
C)
x >49
D)
x 49
Solve the inequality and graph the solution set.
114)
2<2t – 2 12
114)
A)
[–7, –2]
B)
(–7, –2)
C)
(2, 7]
D)
(2, 7)
Write an inequality involving the variable x that describes the set of numbers graphed.
115)
115)
A)
x < – 7
B)
x –7
C)
x –7
D)
x > – 7
Solve the equation.
116)
1
4x –3= – 3
4x
116)
A)
{–5}
B)
{5}
C)
{–3}
D)
{3}
Write each inequality in interval notation and graph the interval on a number line.
117)
x3
117)
A)
(3, )
B)
(–, 3)
C)
[3, )
D)
(–, 3]
A survey showed that students had these preferences for instructional materials. Use the graph to answer the question.
118)
About how many students would you expect to prefer TV in a school of 800 students?
118)
A)
About 96 students
B)
About 12 students
C)
About 144 students
D)
About 160 students
Use a formula to solve the problem.
119)
A rectangular Persian carpet has a perimeter of 184 inches. The length of the carpet is 20 inches
more than the width. What are the dimensions of the carpet?
119)
A)
56 inches by 76 inches
B)
82 inches by 102 inches
C)
36 inches by 56 inches
D)
72 inches by 92 inches
Solve the problem.
120)
A bag of marbles has twice as many blue marbles as green marbles, and the bag has at least 45
marbles in it. At least how many green marbles does it have?
120)
A)
At least 23 green marbles
B)
At least 16 green marbles
C)
At least 15 green marbles
D)
At least 30 green marbles
121)
A tree casts a shadow 28 m long. At the same time, the shadow cast by a 53–cm tall statue is 79 cm
long. Find the height of the tree. Round results to the nearest unit.
121)
A)
41 m
B)
18 m
C)
19 m
D)
42 m
Write an equation using the information given in the problem. Use x as the variable.
122)
When a number is divided by 4, the result is 10.
122)
A)
x
10 =4
B)
x
4=10
C)
4x =10
D)
10x =4
Solve the problem.
123)
45% of what number is 71?
123)
A)
1580
B)
1
C)
158
D)
100
Write an inequality involving the variable x that describes the set of numbers graphed.
124)
124)
A)
x –5
B)
x < – 5
C)
x –5
D)
x > – 5
Solve the inequality. Write the solution set in interval notation and graph it.
125)
73t + 1 16
125)
A)
[2, 5]
B)
(–5, –2)
C)
(2, 5)
D)
[–5, –2]
Write the answer to the problem as an algebraic expression.
126)
A water tank holds g gallons. Since there are 4 quarts per gallon, how many quarts does the tank
hold?
126)
A)
4
g quarts
B)
g+ 4 quarts
C)
g
4 quarts
D)
4g quarts
Write an inequality involving the variable x that describes the set of numbers graphed.
127)
127)
A)
0< x <4
B)
0< x 4
C)
0 x 4
D)
0 x <4
Solve the problem.
128)
If a boat uses 23 gallons of gas to go 65 miles, how many miles can the boat travel on 115 gallons of
gas?
128)
A)
345 mi
B)
13 mi
C)
325 mi
D)
650 mi
D)
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.
129)
P = 2L + 2W; L =7, W =6
129)
A)
13
B)
84
C)
20
D)
26
D)
Write an inequality involving the variable x that describes the set of numbers graphed.
130)
130)
A)
–3< x 1
B)
–3
x <1
C)
–3
x 1
D)
–3< x <1
D)
Solve the equation.
131)
–1
3a = – 3
131)
A)
{9}
B)
{–7}
C)
{–6}
D)
{1}
D)
Solve the problem.
132)
A pension fund invests $116,800 in utility stocks and earns 4% per year on the investment. How
much money is earned per year?
132)
A)
$2,920,000
B)
$46,720
C)
$292,000
D)
$4672
Solve the inequality. Write the solution set in interval notation and graph it.
133)
–7–2z + 3 –1
133)
A)
[–5, –2]
B)
(2, 5)
C)
(–5, –2)
D)
[2, 5]
Solve the equation.
134)
–10y – 10 =7– 6y
134)
A)
–4
17
B)
–17
4
C)
4
17
D)
16
3
Solve the problem.
135)
From a point on a river, two boats are driven in opposite directions, one at 6 miles per hour and the
other at 9 miles per hour. In how many hours will they be 75 miles apart?
135)
A)
6 hr
B)
1 hr
C)
5 hr
D)
7 hr
Solve the inequality. Write the solution set in interval notation and graph it.
136)
6<3x 21
136)
A)
[–2, 1)
B)
(–2, 1]
C)
(2, 7]
D)
[2, 7)
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.
137)
V =4
3r3; r =4, = 3.14
137)
A)
66.99
B)
85.33
C)
803.85
D)
267.95
Solve the inequality. Write the solution set in interval notation and graph it.
138)
2
15 (x +9) >1
9(x +6)
138)
A)
(–, 24)
B)
(24, )
C)
(–24, )
D)
(–, –24)
Solve the equation.
139)
z+ 2 =7
139)
A)
{–9}
B)
{–5}
C)
{9}
D)
{5}
Solve the inequality and write the solution set in interval notation.
140)
2x –60
140)
A)
(–, –30]
B)
(–, 30]
C)
[30, )
D)
[–30, )
Solve the inequality. Write the solution set in interval notation and graph it.
141)
12n + 2 2(5n + 7)
141)
A)
(–, 6]
B)
(–, 6)
C)
(6, )
D)
[6, )
Translate the statement into an inequality. Use x as the variable.
142)
Less than 11 inches of snow fell.
142)
A)
x 11
B)
x <11
C)
x >11
D)
x 11
Solve the problem.
143)
The difference between two positive integers is 54. One integer is three times as great as the other.
Find the integers.
143)
A)
81 and 135
B)
54 and 81
C)
27 and 81
D)
27 and 54
Solve the inequality and write the solution set in interval notation.
144)
– 0.4z > – 0.24
144)
A)
(0.6, )
B)
(–0.6, )
C)
(–, –0.6)
D)
(–, 0.6)
Solve the equation.
145)
y
2=15
6
145)
A)
4
5
B)
5
4
C)
{5}
D)
{50}
Solve the formula for the specified variable.
146)
A = P(1 + nr) for n
146)
A)
n=A
r
B)
n=A – P
Pr
C)
n=Pr
A – P
D)
n=P – A
Pr
B
Solve the problem.
147)
It is necessary to have a 40% antifreeze solution in the radiator of a certain car. The radiator now
has 50 liters of 20% solution. How many liters of this should be drained and replaced with 100%
antifreeze to get the desired strength?
147)
A)
16.7 L
B)
12.5 L
C)
25 L
D)
20 L
B
Solve the equation.
148)
6(x + 3) – (6x + 18) = 0
148)
A)
{all real numbers}
B)
{3}
C)
{0}
D)
{}
A
Solve the problem.
149)
If half a number is added to 9, the result is greater than or equal to –2. Find all such numbers.
149)
A)
x 7
B)
x –22
C)
x > – 22
D)
x –18
B
C
Solve the equation.
150)
1
8x = – 4
150)
A)
{–32}
B)
{–1}
C)
{3}
D)
{4}
Solve the formula for the specified variable.
151)
F =9
5C + 32 for C
151)
A)
C =5
F – 32
B)
C =9
5(F – 32)
C)
C =5
9(F – 32)
D)
C =F – 32
9
Solve the problem.
152)
On August 22, the Fernandez family received 35 pieces of mail, consisting of magazines, bills,
letters, and ads. If they received the same number of magazines as letters, three more bills than
letters, and five more ads than bills, how many magazines did they receive?
152)
A)
6 magazines
B)
14 magazines
C)
9 magazines
D)
7 magazines
153)
Students at East Central High School earned $344 selling candles. They want to make $2000 for a
club trip. What percent of their goal has been reached? Round to the nearest tenth of a percent, if
necessary.
153)
A)
1.7%
B)
5.8%
C)
58%
D)
17.2%
Solve the equation.
154)
4x –4
2=3x +5
6
154)
A)
{18}
B)
17
9
C)
{34}
D)
–7
15
Solve the problem.
155)
The sum of twice a number and 16 less than the number is the same as the difference between –8
and the number. What is the number?
155)
A)
1
B)
2
C)
3
D)
4
156)
The ratio of the distances a pitching wedge and an 8–iron will drive a golf ball is 4 to 5. If a golfer
averages 76 yards with a pitching wedge, how far should she average with an 8–iron?
156)
A)
85 yd
B)
67 yd
C)
95 yd
D)
61 yd
157)
A high school graduating class is made up of 470 students. There are 124 more girls than boys.
How many boys are in the class?
157)
A)
173 boys
B)
470 boys
C)
297 boys
D)
124 boys
Solve the equation.
158)
3(2z – 5) =5(z + 4)
158)
A)
{–5}
B)
{8}
C)
{5}
D)
{35}
37
A survey showed that students had these preferences for instructional materials. Use the graph to answer the question.
159)
About how many students would you expect to prefer films in a school of 650 students?
159)
A)
About 117 students
B)
About 20 students
C)
About 78 students
D)
About 130 students
Solve the equation.
160)
6r + 9 = – 2– 5r+ 5r
160)
A)
1
12
B)
6
11
C)
–6
11
D)
–11
6
D
38
D
Solve the inequality. Write the solution set in interval notation and graph it.
161)
–8c – 1 –9c + 11
161)
A)
(–8, )
B)
( , 12]
C)
( , –8)
D)
[12, )
Solve the problem.
162)
There are 7750 self–employed persons in a town. If this represents 15% of the total number, what is
the total number? Round to the nearest whole number.
162)
A)
51,667
B)
517
C)
116,300
D)
1163
163)
Solve F =9
5C + 32 for C
163)
A)
C =F – 32
9
B)
C =9
5(F – 32)
C)
C =5
F – 32
D)
C =5
9(F – 32)
164)
Roberto invested some money at 5%, and then invested $2000 more than twice this amount at 5%.
His total annual income from the two investments was $2200. How much was invested at 5%?
164)
A)
$6000
B)
$28,000
C)
$30,000
D)
$3000
165)
Jill is 20 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill
walks at 2 km/hr. They meet in 4 hours. How fast is Joe walking?
165)
A)
2.5 km/hr
B)
7 km/hr
C)
3 km/hr
D)
12 km/hr
Solve the equation.
166)
4x
4=3x +10
4
166)
A)
{4}
B)
{40}
C)
10
D)
10
7
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.
167)
d = rt; t =3, d =6
167)
A)
9
B)
3
C)
0.5
D)
2
Solve the problem.
168)
The sum of three consecutive integers is 393. Find the integers.
168)
A)
129, 130, 131
B)
129, 131, 133
C)
131, 132, 133
D)
130, 131, 132