Link full download test bank for intermediate algebra 7th edition by tobey

Test Bank for Intermediate Algebra 7th Edition by Tobey
Chapter 2. Linear Equations and Inequalities
Exam
Name
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve.
1) 19 = -21 + a
1)
A) a = 40
B) a = -40
C) a = -2
D) a = 2
2) -13 = -15 + y
A) y = -2

B) y = 28

C) y = 2

D) y = -28

3) -7x = 28
A) x = 35

B) x = 1

C) x = -4

D) x = -35

4) 5x + 10 = 45

A) x = 7

B) x = 1

C) x = 34

D) x = 30

5) 8x - 8 = 8
A) x = 8
6) 3x - 6 = -1 - 8x
A)
x=

2)

3)

4)

5)
B) x = 2

C) x = 12

D) x = 9
6)

B)

C)
x=

x=

D)

x=-

7) 15x - 4 = 12x + 11
A) x = 5

B) x = 8

C) x = 6

D) x = 3

7)

8) 39 + 4x + 3 = 11x
A) x = 4

B) x = 7

C) x = 9

D) x = 6

C) y = -37

D) y = 11

8)

9) 8y + 4(4 + y) = 3(y - 7) + 10y
B) y = 37
A) y = -11
10) 8x + 3 - 6x - 6 = 10
A)

9)

10)
x=


B)

x=

C)

11) -7x + 8 + 5x = -3x + 13
A) x = -8
C) any real number

x=
-

D)

x=

11)
B) no solution
D) x = 5

12) 4(x + 5) = 5(x - 3)
A) x = 5

B) x = 35

C)

13) 3x - 6 + 6(x + 1) = 7x + 2
A) x = 2

B) x = - 1

C) x = 7

D) x = 1

14) 4(4x + 1) - 68 = 9x - 1
A) x = -9

B) x = 63

C) x = 441

D) x = 9

15) 6 - 9(y + 3) = 9 - 2y
A)
y=-

16)

-

+

D) No solution

13)

14)

15)
B) y = 0

C)

y=

D)

y=

16)
B) k = 2

C) k = 14

D) k = 1
17)

=

A) y = -2

18)

x=-

k = - 10
A) k = -2

17)

12)

B)

y=

C)

y=-

D) y = 102

18)

- 27 =
A)

B) x = 15

x=

C)

x=

D)

x=-

Solve the equation.
19)
+
=
A) x = 8

19)
B)

x=

C) x = - 8

D)

x=-

Solve.
20)

A) y = 65
21)

20)

(y + 9) - 11 = 3

-

= -9y

B) y = 38

C) y = 47

D) y = 14
21)


A)

22)

2-

B)

y=

23)

+

5+

23)
B) x = -12

24)
C)

x=

D) x = 0

25)
B)

x=-

x=-

C)

x=-

D)

x=
26)

(x - 2) = x + 5
B)

x=-

A)

D) x = 12

=-

(x - 24) -

27)

C) x = -6

B) x = 5

+

A)

D) y = 43

= 14 - (x + 9)

25)
A)

C) y = 37

=

A) x = 1

28)

y=

22)
B) y = 53

A) x = 6

26)

D)

y=

(y + 5) = -10
A) y = 13

24)

C)

y=-

x=-

C)

x=-

D)

x=27)

=
B)

x=

+

x=

C) x = 4

D) x = 16

28)

=2

A) x = 16

B) x = 0

C) x = 1

D)

29) -10.3x + 1.4 = -74.2 - 1.9x
A) x = -84

B) x = 7.3

C) x = 9

D) x = 7.5

30) 1.2x + 4.2 = 0.6x - 1.14
A) x = 0.112

B) x = -9.79

C) x = -9

D) x = -8.9

31) 0.6(x - 3) = 24
A) x = 27

B) x = 37

C) x = 43

D) x = 45

32) 0.08 = 0.2x - 9
A) x = 45.4

B) x = 8.88

C) x = 1.816

D) x = -44.6

C) x = 20

D) x = 30

x=
29)

30)

31)

32)

33) 0.30x - 0.20(60 + x) = -0.15(60)
A) x = 15
B) x = 40

33)


34) 0.09y + 0.09(900 - y) = 0.50y
A) y = 40.5
B) y = 324

C) y = 405

D) y = 162

35) 8 + 0.5(5 - y) = 0.8y - 9(y - 0.7)
A) y = 0
B)

C)

D)

y=-

34)

y=-

36) 24x - 4 - 2x = 8x + 7 + 14x
A) x = 24
C) no solution

B) x = 11
D) any real number

37) 9x + 11(x + 1) = 20(x + 1) - 9
A) x = 11
C) any real number

B) x = 0
D) no solution

38) 14x - 5(x + 4) = 2 + 9(x + 7)
A) x = 13
C) no solution

B) x = 69
D) any real number

39)

-6 +

37)

38)

39)

=x-6+

Solve for y.
40) 3x - 5y = 2
A)
y=

B) any real number
D) no solution

40)
B)

41) 17x + 7y = 10
A)
y=
x-

B)

42) 3x + 5y = 9x + 7
A)
y=

B)

43) 5y + 7x = 8y - 1
A)
y=

B)

x=

x=

y=

C)

y=

D) y = 3x - 2

41)
y=

C)

y=

D)

y=

42)
y=

C) y = 6x + 12

D)

C)

D)

y=

43)
y=

y=

y=

44)

y-5
A) y = x + 35

45)

y=-

36)

A) x = -6
C)
x=

44)

35)

B) y = x + 5

C) y = 7x + 35

D) y = 7x + 5
45)

y+
A) y = 14x - 49

B)

y=

C)

y=

D)

y=

46)

A)

46)

=3-y
B)

y=

Solve for the specified variable.
47) d = rt for t
A)
t=

48) A =
A)

V=
A)

t=

B)

b=

D) t = d - r

b=

C)

D)

b=

b=
49)

B)

h=

C) h = S - 2πr

D)

h=

50)

h=V -

B)

π

+

h=

C)

D)

h=

h=

51)
B)

h=

C)

h=

-1

D) h = 2π(S - r)

52)

for
B) S3 = P + S1 + S2

D) S3 = S1 + P - S2

53)

C + 32 for C
A)

C=

54) P = 2L + 2W for W
A) W = P - 2L

55)

C) t = dr

π h

+

F=

y=

47)
B)

A) S3 = S1 + S2 - P
C) S3 = P - S1 - S2
53)

D)

y=

48)

51) S = 2πrh + 2πr2 for h
A) h = S - r

52) P =

C)

bh for b

49) S = 2πrh for h
A) h = 2πrS

50)

y=

H=

B)

C=

C)

C=

D)

C=

(F - 32)
54)

B)

W=

C) W = P - L

D)

W=

55)

(a + 2b); for b

A) b = 3H - 5a - 10

B)

C)

D)

b=

(F - 32)

b=
b=


56) 4(9ax + y) = 7ax - 2y for x
A)
x=-

Follow the given instructions.
57)
(a) Solve for h: V =

56)
B)

x=-

x=

D)

x=-

57)

h

(b) Evaluate when V = 121 and b = 11.
A)
B)
(a) h =
(a) h =
(b) 3
58)

C)

C)

(b) 1

(a) h =
(b) 27

D)

(a) h =
(b) 9
58)

(a) Solve for a: S =
(b) Evaluate when S = 4 and r =

.

A) (a) a = S(1 - r)
(b) 2
C)

(a) a =

B)

(a) a =

(b) 8
D) (a) a = S + (1 - r)
(b)

(b)

Solve.
59)

60)

The formula for the perimeter of a rectangle is P = 2L + 2W. Solve the formula for L. Use this
formula to find the length of the rectangle if the perimeter, P, is 30 feet and the width, W, is 6
feet.
A) L = 12 feet
B) L = 9 feet
C) L = 15 feet
D) L = 24 feet

59)

60)
The formula for the volume of a cone is V =

Bh. Solve the formula for B. Use this formula to

find the area of the base of the cone if the volume, V, is 14 cubic centimeters and the height, h, is
2 centimeters.
A) B = 28 square centimeters
B) B = 7 square centimeters
C) B = 21 square centimeters
D) B = 16 square centimeters
61)

61)
The formula for the area of a trapezoid is A =

(b+B)h. Solve the formula for h. Use this

formula to find the height of the trapezoid if the area, A, is 101.5 square meters, and the bases, b
and B, are 11 meters and 18 meters.
A)

h=
meters
C) h = 87 meters

62)

B) h = 198 meters
D) h = 7 meters
62)

The average price (in dollars) to rent a studio in a certain city can be approximated by the
equation
where t is the number of years since 1990. Solve this equation for t and
use the new equation to determine approximately what year it will be when the average price
of a studio in this city reaches $1310.00.
A) 2015
B) 2016
C) 2014
D) 2017


63)

Suppose economists use as a model of a country's economy the equation
C = 0.6791D + 6.1083
where C represents the consumption of products in billions of dollars and D represents
disposable income in billions of dollars. Solve the equation for D and use the result to
determine the disposable income D if the consumption C is $9.88 billion. Round your answer to
the nearest tenth of a billion.
A) $8.4 billion
B) $5.6 billion
C) $5.3 billion
D) $12.8 billion

Solve the absolute value equation.
64) |x| = 6

A) x = 36

64)
B) x = -6, 6

C) x = -6

D) x = 6

65) |x - 3| = 8
A) x = -5, 11

B) x = 5, 11

C) x = 11

D) x = -5, -11

66) |2x + 10| = 22
A) x = -6, 16

B) x = -16, 6

C) x = -16

D) x = 6

65)

66)

67) |4x - 9| = 2
A)
x= ,
68) |5 - 8x| = 3
A)
x=69)

67)
B)

x=-

,-

C)

x=-

,-

x=

,
68)

,-1

B)

x = 1,

C)

x=

D)

,1

x = - 1, 69)

A) x = -25, 5

B) x = -4

C) x = 5

70) |0.6x - 0.4| = 1
A) x = 0.5, 0.833
C) x = -0.833, -0.5

D) x = -10, -4
70)

B) x = -2.333, 1
D) x = -1, 2.333
71)

=0

A)

x=-

72)

B)

,

x=-

C)

D) no solution

x=-

72)

= -12
A)
C)

73)

x=-

B) no solution

,

D)

x=

x=73)

=
A)

74)

D)

=3

71)

x=-

63)

,2

B) no solution

C)

x=-

,

D)

x=


74)
_
=3
A)

x=

B)

,-

75)

C)

x=

75)

=
A)

B) no solution

C)

76) |x + 4| + 4 = 10
A) no solution

B) x = -2, 10

C) x = 2

77) |2x + 8| + 3 = 10
A) no solution

B)

x=-

78) |3x + 7| + 2 = 5
A)
x= ,

79)

x =-

D)

,

x=-

,-

76)
D) x = -10, 2
77)
x=

,

C)

x=-

D)

,-

x=-

,78)

B) no solution

C)

x=-

,-

D)

x=-

,-

79)

- 8= 5
A) x = -61, 43

80)

B) no solution

C) x = 43

D) x = 3, 43
80)

+ 9 = 11
A)

81)

B)

x=

x=-

,

C) no solution

D)

x=-

,

81)

+ 2= 8
A)
C)

x=-

,-

x =-

,-

82) |11(x - 2)| - 6 = 5
A) x = 3

83)

D) no solution

x=-

B) no solution
D)

x=-

,82)

B) no solution

C) x = 1, 3

D)

x=

83)

-7 =7
A) x = - 20

,3

B) x = 20, - 50

C) x = - 20, 50

D)

x=-


84)

84)

- 9 = -1
A)

B)

x=-

85) |4x + 7| = |x - 3|
A)
x=,

86)

x=-

x=

D)

,-

x=-

,
85)

B) no solution

C)

x=

D)

,

x=-

,-

86)

=
A) x = 16, 12

B) no solution

87) |0.6x + 13| = |x + 0.5|
A) x = -8.437, 31.25
C) no solution

88)

C) x = 16, 0

D) x = 10
87)

B) x = -2.571, -1.6
D) x = -7.812, 33.75
88)

= |4x + 7|
A)

x=-

B)

,-

C) no solution

D)

89) |1.3x + 2.9| = |x - 5|
A) x = -1.043, -11.333
C) no solution
90)

,-

x=-

x=

,
89)

B) x = -1.714, -2.833
D) x = 0.913, -26.333
90)

=
A)

91)

C)

x=

, 27

B)

x = 9,

C)

x=

, 27

D)

x=
91)

=
A) x = -4, 12

B) x = 4, -12

C) x = -12

D) x = -4

Write an algebraic equation and use it to solve the problem.
92) A promotional deal for long distance phone service charges a $15 basic fee plus $0.05 per minute
for all calls. If Joe's phone bill was $72 under this promotional deal, how many minutes of phone
calls did he make? Round to the nearest integer, if necessary.
A) 3 minutes
B) 1140 minutes
C) 11 minutes
D) 1740 minutes

92)

93) Manuel can pay for his car insurance on a monthly basis, but if he pays an entire year's insurance
in advance, he'll receive a $40 discount. His discounted bill for the year would then be $632.

What is the monthly fee for his insurance?
A) $92.67
B) $56
C) $49.33
D) $52.67

93)

94) A poster in the shape of a triangle has one side that is five inches more the length of the shortest
side, and another side that is three inches less than twice the shortest side. Find the dimensions
of the poster if its perimeter is 46 inches.
A) 11 inches, 16 inches, 20 inches
B) 11 inches, 17 inches, 19 inches

94)


C) 11 inches, 16 inches, 19 inches

D) 12 inches, 16 inches, 19 inches

95) The length of a rectangular room is 9 feet longer than twice the width. If the room's perimeter is
174 feet, what are the room's dimensions?
A) Width = 31 ft; length = 71 ft
B) Width = 26 ft; length = 61 ft
C) Width = 39 ft; length = 48 ft
D) Width = 52 ft; length = 122 ft

95)

96) Six-eighths of a number is -18. What is the number?
A) The number is -24.

96)

C)

The number is -

.

B)
D)

The number is -

.

The number is -

.

97) The revenue of Company X quadruples. Then it increases by $1.6 million to its present revenue
of $23.6 What was the original revenue?
A) The original revenue of Company X was $22 million.
B) The original revenue of Company X was $5.5 million.
C) The original revenue of Company X was $4.3 million.
D) The original revenue of Company X was $6.3 million.

97)

98) Sergio's internet provider charges its customers $11 per month plus 3¢ per minute of on-line
usage. Sergio received a bill from the provider covering a
period and was charged a
total of $68.50. How many minutes did he spend on-line during that period? (Round to the
nearest whole minute, if necessary.)
A) 45 minutes
B) 450 minutes
C) 1712 minutes
D) 1512 minutes

98)

99) City A experienced 18 armed robberies less than twice that of City B. In the two cities
combined, 252 armed robberies occurred. How many armed robberies occurred in City A and
in City B?
A) City A: 72 armed robberies; City B: 180 armed robberies
B) City A: 117 armed robberies; City B: 135 armed robberies
C) City A: 138 armed robberies; City B: 78 armed robberies
D) City A: 162 armed robberies; City B: 90 armed robberies

99)

100) The Four Flying Feldmans acrobat troupe is planning a nationwide tour. They will give 4
performances per week in various cities across the U.S. The venues in which they will perform
hold about 6000 people each, and concert tickets will sell for $25 each. The advance expenses for
each performance are $22,000, and the additional travel, lodging, meal, and miscellaneous costs
are $36,000 per week. How many weeks will the Four Flying Feldmans need to be on tour if each
of them wants to earn $3,808,000 from the tour?
A) 12 weeks

B) 32 weeks
C) 6 weeks
D) 8 weeks

100)

101) During a road trip, Tonya drove one-third the distance that Lana drove. Mark drove 9 miles
more than Lana. The total distance they drove on the trip was 380 miles. How many miles did
each person drive?
A) Tonya drove 477 miles, Lana drove 159 miles, and Mark drove 150 miles.
B) Tonya drove 50 miles, Lana drove 150 miles, and Mark drove 159 miles.
C) Tonya drove 53 miles, Lana drove 159 miles, and Mark drove 168 miles.
D) Tonya drove 159 miles, Lana drove 477 miles, and Mark drove 486 miles.

101)

102) A hot air balloon spent several minutes ascending. It then stayed at a level altitude for four times
as long as it had ascended. It took 5 minutes less to descend than it did to ascend. The entire trip
took one hour and 37 minutes. For how long was the balloon at a level altitude?
A) 12 minutes
B) 29 minutes
C) 68 minutes
D) 17 minutes

102)

103) The three most prominent buildings in a city, Washington Center, Lincoln Galleria, and Jefferson

Squa re

Tower, 103)
have a
total
height of
1800 feet.
Find the
height of
each
building
if
Jefferson
Square
Tower is
twice as
tall as
Lincoln
Galleria
and
Washing
ton
Center is
360 feet
taller
than
Lincoln
Galleria.
A) Washington Center: 580 feet
Lincoln Galleria: 290 feet
Jefferson Square Tower: 930 feet

C) Washington Center: 540 feet
Lincoln Galleria: 180 feet
Jefferson Square Tower: 1080 feet

B) Washington Center: 360 feet
Lincoln Galleria: 180 feet
Jefferson Square Tower: 1260 feet
D) Washington Center: 720 feet
Lincoln Galleria: 360 feet
Jefferson Square Tower: 720 feet

104) Amy is choosing a cell phone plan. Three different companies offer a different number of free
minutes of phone calls per month. City Com offers 280 less than twice the number of free
minutes offered by Talk for Less Phone. Renee's Cell Phone offers 80 more free minutes per
month than Talk for Less Phone. The sum of the free minutes offered by City Com and Talk for
Less Phone is equal to twice the number of free minutes offered by Renee's Cell Phone. How
many free minutes does each company offer?
A) City Com:
620
B) City Com:
600
minutes
minutes
Talk for Less Phone: 460 minutes
Talk for Less Phone: 440 minutes
Renee's Cell Phone: 540 minutes
Renee's Cell Phone: 520 minutes
C) City Com:
620
D) City Com:

560
minutes
minutes
Talk for Less Phone: 450 minutes
Talk for Less Phone: 420 minutes
Renee's Cell Phone: 530 minutes
Renee's Cell Phone: 500 minutes
Write an algebraic equation and use it to solve the problem.
105) The population of a town is currently 48,000. This represents an increase of 30% from the
population 5 years ago. Find the population of the town 5 years ago. Round to the nearest whole
number if necessary.
A) 14,400
B) 160,000
C) 33,600
D) 36,923
106) After a 16% price reduction, a boat sold for $25,200. What was the boat's price before the
reduction? (Round to the nearest cent, if necessary.)
A) $30,000
B) $4032.00
C) $29,232.00
D) $157,500.00

104)

105)

106)


107) Inclusive of a 7.8% sales tax, a diamond ring sold for $1832.60. Find the price of the ring before

the tax was added. (Round to the nearest cent, if necessary.)
A) $1689.66
B) $142.94
C) $1975.54
D) $1700

107)

108) Holly bought a sweater on sale for 20% off the original price. If she saved $6, what was the
original price?
A) $24.00
B) $30.00
C) $1.20
D) $120.00

108)

109) When Milo got promoted at work, he received a 5% pay raise. He now earns $46,200 per year.
What was his annual salary before his raise?
A) $2310
B) $46,200
C) $44,000
D) $2200

109)

110) Ming got a 4% raise in her salary from last year. This year she is earning $33,280. How much did
she make last year?
A) $8320
B) $1280

C) $133,120
D) $32,000

110)

111) Employment statistics show that 23,520 of the residents of Bear Valley were unemployed last
month. This was a decrease of 16% from the previous month. How many residents were
unemployed in the previous month?
A) 28,000
B) 3763
C) 27,283
D) 147,000

111)

112) Suppose that 9% of the teachers at a university attended a conference. If 450 teachers attended
the conference, how many teachers are at the university?
A) 45 teachers
B) 4500 teachers
C) 45,000 teachers
D) 5000 teachers

112)

Write an algebraic equation for the problem and solve it.
113) City A experienced 27 armed robberies less than twice that of City B. In the two cities
combined, 165 armed robberies occurred. How many armed robberies occurred in City A and
in City B?
A) City A: 65 armed robberies; City B: 46 armed robberies
B) City A: 101 armed robberies; City B: 64 armed robberies

C) City A: 37 armed robberies; City B: 128 armed robberies
D) City A: 69 armed robberies; City B: 96 armed robberies
114) The manager of a pet store received a shipment of birdseed in 15-pound bags. She divided each
bag into smaller bags of unequal weight, which she labelled small and large. The
store sold 27 small bags of seed and 17 large bags of seed in one month. If a total of 285 pounds
of seed were sold that month, how many pounds were in one small bag? In one large bag?
A) One small bag contained 2 pounds of seed.
One large bag contained 13 pounds of seed.
B) One small bag contained 5 pounds of seed.
One large bag contained 13 pounds of seed.
C) One small bag contained 4 pounds of seed.
One large bag contained 15 pounds of seed.
D) One small bag contained 3 pounds of seed.
One large bag contained 12 pounds of seed.
Write an algebraic equation and use it to solve the problem.
115) This year, two Girl Scout Troops together sold 474 boxes of cookies. Half of the Rockridge
troop's sales were Thin Mints and

of the Bayshore troop's sales were Thin Mints. Together

they sold 162 boxes of Thin Mints. How many boxes of cookies did each troop sell?
A) Rockridge: 237 boxes
B) Rockridge: 81 boxes
Bayshore: 95 boxes
Bayshore: 32 boxes

113)

114)

115)


C) Rockridge: 229 boxes
Bayshore: 245 boxes

D) Rockridge: 224 boxes
Bayshore: 250 boxes

116) When Sam and Tyler first started working as software engineers, their weekly salaries totaled
$1460. Now ten years later Sam is a senior engineer and Tyler is a manager. Sam's salary has
doubled. Tyler's salary is 3 times as large. Together their weekly salaries now total $3580. How
much did they each make ten years ago?
A) Sam earned $800 ten years ago
B) Sam earned $1790 ten years ago
Tyler earned $660 ten years ago
Tyler earned $1193 ten years ago
C) Sam earned $780 ten years ago
D) Sam earned $730 ten years ago
Tyler earned $680 ten years ago
Tyler earned $487 ten years ago

116)

117) Nancy invested $1100 at a simple interest rate of 8% for 6 years. How much interest did she
earn?
A) $528
B) $58,080,000
C) $52,800
D) $580,800

117)

118) Jason borrowed $14,000 at a simple interest rate of 6.8% for a quarter of a year. What was the
interest?
A) $238.00
B) $14,238.00
C) $23.80
D) $14,023.80

118)

119) Don James wants to invest $50,000 to earn $4650 per year. He can invest in
bonds
paying
per year or in a Certificate of Deposit (CD) paying
per year. How much money
should be invested in each to realize exactly $4650 in interest per year?
A) $34,000 in B-rated bonds and $16,000 in a CD
B) $17,000 in B-rated bonds and $33,000 in a CD
C) $33,000 in B-rated bonds and $17,000 in a CD
D) $16,000 in B-rated bonds and $34,000 in a CD

119)

120) A bank loaned out $60,000, part of it at the rate of
per year and the rest at a rate of
per
year. If the interest received was $5910, how much was loaned at
A) $26,000

B) $27,000
C) $33,000
D) $34,000

120)

121) A loan officer at a bank has $92,000 to lend and is required to obtain an average return of
per year. If he can lend at the rate of
or the rate of
how much can he lend at the
rate and still meet his required return?
A) $18,400.00
B) $5411.76
C) $607,200.00
D) $3172.41

121)

122) A college student earned $7000 during summer vacation working as a waiter in a popular
restaurant. The student invested part of the money at
and the rest at
If the student
received a total of $548 in interest at the end of the year, how much was invested at
A) $3800
B) $1166
C) $3200
D) $3500

122)

123) The owners of a candy store want to sell, for $6 per pound, a mixture of chocolate-covered
raisins, which usually sells for $3 per pound, and chocolate-covered macadamia nuts, which
usually sells for $8 per pound. They have a
barrel of the raisins. How many pounds
of the nuts should they mix with the barrel of raisins so that they hit their target value of $6 per
pound for the mixture?
A) 48 lbs.
B) 42 lbs.
C) 39 lbs.
D) 45 lbs.

123)

124) A chemist needs 9 liters of a 50% salt solution. All she has available is a 20% salt solution and a
70% salt solution. How much of each of the two solutions should she mix to obtain her desired
solution?
A) 3.6 liters of the 20% solution; 5.4 liters of the 70% solution
B) 4.5 liters of the 20% solution; 4.5 liters of the 70% solution
C) 1.8 liters of the 20% solution; 7.2 liters of the 70% solution

124)


D) 2.7 liters of the 20% solution; 6.3 liters of the 70% solution
125) The manager of a coffee shop has one type of coffee that sells for $6 per pound and another type
that sells for $10 per pound. The manager wishes to mix 90 pounds of the $10 coffee to get a
mixture that will sell for $7 per pound. How many pounds of the $6 coffee should be used?
A) 360 pounds
B) 180 pounds
C) 135 pounds

D) 270 pounds

125)

126) A beverage wholesaler wants to create a new punch. He will mix fruit juice worth $2 a gallon
and rum worth $7 a gallon. He wants to obtain 125 gallons worth of punch worth $4 a gallon.
How much of each beverage should he use?
A) He should mix 87.5 gallons of juice with 37.5 gallons of rum.
B) He should mix 100 gallons of juice with 25 gallons of rum.
C) He should mix 112.5 gallons of juice with 12.5 gallons of rum.
D) He should mix 75 gallons of juice with 50 gallons of rum.

126)

127) A chef has one cheese that contains 5% fat and one cheese that contains 55% fat. How many
pounds of each cheese should she use in order to obtain 7 pounds of a cheese mixture that is 35%
fat?
A) 2.1 pounds of the cheese that contains 5% fat and 4.9 pounds of the cheese that contains
55% fat.
B) 3.5 pounds of the cheese that contains 5% fat and 3.5 pounds of the cheese that contains
55% fat.
C) 1.4 pounds of the cheese that contains 5% fat and 5.6 pounds of the cheese that contains
55% fat.
D) 2.8 pounds of the cheese that contains 5% fat and 4.2 pounds of the cheese that contains
55% fat.

127)

128) How much pure acid should be mixed with 8 gallons of a 50% acid solution in order to get an
80% acid solution?

A) 4 gal
B) 20 gal
C) 32 gal
D) 12 gal

128)

129) A chemist needs 170 milliliters of a 31% solution but has only 1% and 52% solutions available.
Find how many milliliters of each that should be mixed to get the desired solution.
A) 70 ml of 1%; 100 ml of 52%
B) 90 ml of 1%; 80 ml of 52%
C) 100 ml of 1%; 70 ml of 52%
D) 80 ml of 1%; 90 ml of 52%

129)

130) Two friends decide to meet in Chicago to attend a Cub's baseball game. Rob travels
in
the same time that Carl travels
Rob's trip uses more interstate highways and he can
average
more than Carl. What is Rob's average speed?
A) 39 mph
B) 47 mph
C) 40 mph
D) 43 mph

130)

131) Carla and Patrick rode stationary bikes for the same amount of time. Carla rode at 6 miles per

hour, and Patrick rode at 4.5 miles per hour. If Carla rode 0.75 miles farther than Patrick, how
long did they use the bikes?
A) They each used the bikes for 0.5 hour.
B) They each used the bikes for 0.25 hour.
C) They each used the bikes for 0.42 hour.
D) They each used the bikes for 0.75 hour.

131)

132) A freight train leaves a station traveling at 32 km/h. Two hours later, a passenger train leaves
the same station traveling in the same direction at 52 km/h. How long does it takes the
passenger train to catch up to the freight train?
A) 3.2 hours
B) 2.2 hours
C) 4.2 hours
D) 5.2 hours

132)

133) Five friends drove at an average rate of 60 miles per hour to a weekend retreat. On the way
home, they took the same route but averaged 65 miles per hour. What was the distance between
home and the retreat if the round trip took 10 hours?
A)5

133)


B)

miles

62
4
mi
les

C)

78
00
mi
les

D)

31
2
mi
les

134) Gary can hike on level ground 3 miles an hour faster than he can on uphill terrain. Yesterday, he
hiked 32 miles, spending 2 hours on level ground and 5 hours on uphill terrain. Find his average
speed on level ground.
B)
C)
D)
A) 6 mph
mph
mph
mph

134)

135) During a hurricane evacuation from the east coast of Georgia, a family traveled
west.
For part of the trip, they averaged
but as the congestion got bad, they had to slow to
If the total time of travel was 7 hours, how many miles did they drive at the reduced
speed?
A) 155 miles
B) 150 miles
C) 145 miles
D) 160 miles

135)

Insert the symbol < or > between the pair of numbers.
136) 8
-5
A) <

B) >

137) - 5
2
A) <
138) -8

137)
B) >

-2

138)

A) <

B) >

139) -1.0

0.2

A) <
140)

136)

-3

139)
B) >
140)

A) <

B) >

141)

141)
A) >

142) -0.6

B) <
-0.61

A) <
143)

-

142)
B) >
143)

A) <

B) >

A) <

B) >

144)

144)

145)

145)
A) <
Graph the inequality.
146) x > -3

B) >


146)

A)
B)
C)
D)

147) x < -5

147)

A)
B)
C)
D)

148) x ≥ 2

148)

A)

B)
C)
D)

149) x ≤ -2

A)
B)
C)
D)

150) x > 12

149)


150)

A)

B)

C)

D)

Solve for x and graph the solution.
151) x + 1 < -8

151)

A) x < -9

B) x ≥ -9

C) x ≤ -9

D) x > -9

152) 2x - 3 ≤ 9

152)

A) x ≥ 6

B) x ≤ 6

C) x ≤ -6

D) x ≥ -6

153) -4x + 4 > -5x + 3

A) x > -1

B) x ≥ 7

153)

C) x ≤ 7

D) x < -1

154) 11x - 6 ≤ 10x - 17

154)

A) x ≤ -11

B) x < 11

C) x > 11

D) x ≥ -11

155) -8x - 2 ≥ -9x + 6

155)

A) x ≥ 8

B) x ≤ 8

C) x < -8

D) x > -8

156) 7x + 3 ≤ 11x + 43

156)

A) x ≥ -10

B) x ≤ -10

C) x ≤ 10

D) x ≥ 10

157) 0.6x + 0.3 > 0.8x - 0.7


157)

A) x < -5

B) x > -5

C) x < 5

D) x > 5

Solve for x.
158) x - 4 < 2
A) x > 6

B) x < 6

C) x < -2

D) x > -2

159) 4x + 5 < 17
A) x < 5

B) x < 3

C) x > 3

D) x > 5

160) 8x + 1 > 7x - 4
A) x < -5

B) x > -5

C) x > -3

D) x < -3

161) 4x - 2 ≤ 3x + 2
A) x < 4

B) x ≥ 4

C) x ≥ 0

D) x ≤ 4

162) 8x - 7 - 9(x - 9) < 0
A) x > 74

B) x < 88

C) x > -88

D) x < -74

163)

3x +
A)

>

158)

159)

160)

161)

162)

163)

x- 4
B)

x>-

C)

x>-

D)

x<

x< -

164) 24x + 20 > 4(5x + 7)
A) x ≤ 2

B) x ≥ 2

C) x < 2

D) x > 2

165) -4(6x - 1) < -28x - 4
A) x ≥ -2

B) x < -2

C) x > -2

D) x ≤ -2

166)

-

(x + 18) A)

167)

9+

164)

165)

B)

x≤

A)

169)

C)

x≤

D)

x≥

x≥

167)

≤ 13 - (x + 4)
A) x ≤ 0

168)

166)

(x - 5) ≥ x - 4

B) x ≥ 0

C) x ≥ 8

D) x ≤ 1
168)

< -4x
x>

B)

x>-

C)

x<

D)

x<
2(x + 2) +


≤1-

169)

A)

170)

A)

B)

x≤-

x≤

C)

x≤-

D)

x≤170)

>
B)

x>

171) 1.3x - 2.7 > 0.5x + 4.98
A) x > 9.61

x>

C)

x<

D)

x<
171)

B) x < -0.104

C) x < 9.696

D) x > 9.6

172) 0.60x - 0.30(30 + x) ≤ 0.50(30)
A) x ≤ 70
B) x ≥ 40

C) x ≥ 90

D) x ≤ 80

173) -0.01x + 0.15(2000 - x) > 0.34x
B) x > 1500
A) x < 150

C) x > 1800

D) x < 600

172)

173)

174) 0.2(1.9 - x) - 1.8 > 2.1(x - 1.9)
(Round to two decimal places if necessary)
A) x < 1.35
B) x > 1.35
C) x > 1.12
175)

+1>
A) x > - 3

174)
D) x < 1.12
175)

x-1
B)

x>-

C) x > 4

D)

x>-

Describe the situation with a linear inequality and then solve the inequality.
176) A certain car has a weight limit for all passengers and cargo of 1219 pounds. The four passengers
in the car weigh an average of 165 pounds. Use an inequality to find the weight of the cargo that
the car can handle.
A) at most 559 pounds
B) at most 7 pounds
C) at most 609 pounds
D) at most 1054 pounds

176)

177) A certain store has a fax machine available for use by its customers. The store charges $2.25 to
send the first page and $0.70 for each subsequent page. Use an inequality to find the number of
pages that can be faxed for $9.95
A) at most 5 pages
B) at most 57 pages
C) at most 15 pages
D) at most 12 pages

177)

178) An archery set containing a bow and three arrows costs $43. Additional arrows can be
purchased for $8 each. Jerry has $99 to spend on the set and additional arrows. Including the
arrows in the set, what is the total number of arrows Jerry can purchase?
A) at most 2 arrows
B) at most 12 arrows
C) at most 7 arrows
D) at most 10 arrows

178)

179) When making a long distance call from a certain pay phone, the first three minutes of a call cost
$2.30. After that, each additional minute or portion of a minute of that call costs $0.50. Use an
inequality to find the number of minutes one can call long distance for $4.80.
A) at most 8 minutes
B) at most 2 minutes
C) at most 5 minutes
D) at most 10 minutes

179)


180) It takes 15 minutes to set up a candy making machine. Once the machine is set up, it produces 20
candies per minute. Use an inequality to find the number of candies that can be produced in 3
hours if the machine has not yet been set up.
A) at most 60 candies
B) at most 3300 candies
C) at most 2400 candies

D) at most 900 candies

180)

181) ABC phone company charges $21 per month plus
per minute of phone calls. XYZ phone
company charges $15 per month plus 11¢ per minute of phone calls. How many minutes of
phone calls should be made each month to make XYZ phone company a better deal?
A) more than 200 minutes
B) less than 20 minutes
C) less than 200 minutes
D) more than 20 minutes

181)

182) David has $17,000 to invest. He invests $12,000 in a mutual fund that pays 12% annual simple
interest. If he wants to make at least $2200 in yearly interest, at what minimum rate does the
remainder of the money need to be invested?
A) 14.2%
B) 13.2%
C) 17.2%
D) 15.2%

182)

183) Lauren earns $4 an hour selling encyclopedias door-to-door. She also earns $27 in commission
per set of encyclopedias sold. To pay her rent this week, she must earn at least $214, and she
only has time to work 13 hours. How many sets of encyclopedias must Lauren sell this week in
order to make her rent?
A) She would have to sell at least 5 sets of encyclopedias.

B) She would have to sell at least 8 sets of encyclopedias.
C) She would have to sell at least 7 sets of encyclopedias.
D) She would have to sell at least 6 sets of encyclopedias.

183)

184) Every Sunday, Jarod buys a loaf of fresh bread for his family from the corner bakery for $2.00.
The local department store has a sale on breadmakers for $61. If the bread-making supplies cost
$0.93 per week, for how many weeks would Jarod have to bake a loaf of bread at home before
the breadmaker becomes more cost effective?
A) at least 59 weeks
B) at least 60 weeks
C) at least 57 weeks
D) at least 58 weeks

184)

Describe the situation with a linear inequality and then solve the inequality.
185) A standard train ticket in a certain city costs
per ride. People who use the train also have
the option of purchasing a frequent rider pass for
each month. With the pass, a ticket
costs
per ride. Use an inequality to determine the number of train rides in a month
for which purchasing the monthly pass is more economical than purchasing the standard train
ticket.
A) 25 or more times
B) 26 or more times
C) 24 or more times
D) 27 or more times

Graph the values of x that satisfy the given conditions.
186) -2 ≤ x ≤ 2

A)
B)
C)
D)

185)

186)


187) -5 < x < -1

187)

A)
B)
C)
D)

188) -1 ≤ x < 3

188)

A)
B)
C)
D)

189) x ≤ 2 and x ≤ -3

189)

A)

B)

C)

D)

190) 0 ≤ x and x < 2

A)

B)

190)


C)

D)

191) -3 ≤ x and x < -1

191)

A)

B)

C)

D)

192)

-

≤ x≤ 5

192)

A)
B)

C)

D)

Graph the values of x that satisfy the conditions given.
193) x ≤ 4 or x ≥ 5

A)

B)

193)


C)

D)

194) x > 5 or x < 2

194)

A)
B)
C)
D)

195) x ≤ -7 or x > 4

195)

A)

B)

C)

D)

196)

x≤-

A)

B)

C)

D)

or x ≥ 4

196)


Solve for x and graph the results.
197) 4x + 8 ≤ 32 and x > -5

197)

A)

no solution
B)

C)

D)

198) 8x + 9 ≥ 57 or x + 9 < 0

198)

A)

no solution
B)

C)

D)

199) 7x + 8 < -34 or 3x + 9 > 12

A)

B)

C)

no solution

199)