Algebra a combined approach 4th edition elayn martin gay test bank

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the equation.
1) b + 11 = 4
1) _______
A) 7
B) 15
C) -7
D) -15
2) -15 = b + 6
A) 21

B) -21

C) -9

D) 9

3) t - 7 = 11
A) -4

B) 18

C) 4

D) -18

2) _______

3) _______

4)

4) _______
+ x = 11
A) 43

B)

C)

D)

5)

5) _______
x+
A)

=
B)

C) 1

D)

6)

6) _______
x=
A)

B)

C) 1

D)

7)

7) _______
x+
=A)

B)

C)

D)

-

-

-

-

8) x + 7.2 = 23.2
A) 16

B) 15.5

C) 30.4

D) 29.9

9) y - 23.9 = 1.6
A) 25

B) 25.5

C) 21.8

D) 22.3

B) 18.7

C) 10.8

D) 11.3

10) x - 3.7 = 15
A) 18.2

8) _______

9) _______

10) ______

Solve the equation. Don't forget to first simplify each side of the equation, if possible.

11) 7x - 6x - 2 = - 2
A) 2
B) - 4
C) - 2
D) 0
12) 10y = 5y + 7 + 4y
A) 7
13) - 5a + 3 + 6a = 13 - 30
A) 20

11) ______

12) ______
B) -7

C) -70

D) 70
13) ______

B) 46

C) -20

D) -46


14) - 9b + 7 + 7b = -3b + 12
A) 5

B) -12

C) 12

D) -7

15) - 7x - 14 + 8x = 6
A) 20

B) -20

C) 8

D) -8

16) -30 + 12 = 7x + 5 - 6x
A) -47

B) -23

C) 23

D) 47

17) -7x - 8 - 2x - 6 = 1
A)

B)

C) - 3

D)

14) ______

15) ______

16) ______

17) ______
-

18) 3(y - 2) = 4y - 6
A) 6
19) 3x - 3 = 4(x - 1)
A) -7

18) ______
B) -6

C) -12

D) 0
19) ______

B) -1

C) 1

D) 7

20) 3(5x + 4) + 16 = 12x + 4
A) -24

B) 8

C) -72

D) -8

21) 6x = 7(5x + 2)
A)

B)

C)

D)

C) - 3

D) 3

20) ______

21) ______
-

22) 2(5x - 7) = 8x - 8
A)

22) ______
B) 11

23) 88(x - 2) = -16(x + 11)
A) 0
C) all real numbers

23) ______
B) 72
D) ∅

24) 2(x + 2) = 3(x - 2)
A) -2
C) all real numbers
25) (x - 9) - (x + 5) = 2x
A) - 2

24) ______
B) 10
D) ∅
25) ______
B) - 7

C)

D)
-

26) 4(k + 8) - (3k - 7) = -3

A) 36

26) ______
B) - 42

C) 42

D) 18

27)

27) ______
x+
A)

=-

xB)

-

C)
-

D)
-


28) -8.3 + 4x - 6.2 + 5x - 2.9 = 5.3 + 10x + 1.9
A) -24.6

B) -10.2

28) ______
C) 10.2

D) 24.6

Write the algebraic expression described.
29) Two numbers have a sum of 27. If one number is q, express the other number in terms of q.
A) 27 - 2q
B) q - 27
C) q + 27
D) 27 - q

29) ______

30) A 28-centimeter piece of rope is cut into two pieces. If one piece is z centimeters long, express the
other length as an algebraic expression in z.
A) (z + 28) cm
B) (z - 28) cm
C) (28 - z) cm
D) (28 - 2z) cm

30) ______

31) In the race for Student Body President, Jose received 421 more votes than Angela. If Angela
received x votes, how many votes did Jose receive?
A) (x - 421) votes
B) (421x) votes
C) (421 - x) votes

D) (x + 421)
votes

31) ______

32) During a walk-a-thon, Rosilyn walked 6 fewer laps than June walked. If June walked b laps, how
many laps did Rosilyn walk?
A) (6 - b) laps
B) (b - 6) laps
C)
D) (b + 6) laps

32) ______

laps
33) The sum of the angles of a triangle is 180°. If one angle of a triangle measures x° and a second
angle measures
A) (157 - 4x)°

, express the measure of the third angle in terms of x.
B) (157 - 3x)°
C) (203 - 4x)°
D) (157 + 4x)°

34) A quadrilateral is a four-sided figure whose angle sum is 360°. If one angle measures x°, a
second angle measures 4x°, and a third angle measures 9x°, express the measure of the fourth
angle in terms of x.
A) (360 - 13x)°
B) (360 + 14x)°
C) (14x - 360)°

D) (360 - 14x)°
Solve the equation.
35)
-

x=8
A) 3

33) ______

34) ______

35) ______
B) 4

C) -32

D) -2

36)

36) ______
-

a=0
A) 2

B) -2

C) 0

D) 1

37)

37) ______
= 13
A) 26

38) -9a = 36
A) -45
39) -51 = -8.5c
A) 2
40) -9x = -54
A) 45

B) 15

C) 14

D) 6
38) ______

B) 45

C) -4

D) 1
39) ______

B) 42.5

C) 6

D) -42.5
40) ______

B) 2

C) -45

D) 6


41)

41) ______
-

t=
A)

B)

-

C)

D)

-

-

42)

42) ______
= 13
A) 16

B) 39

C) 4

D) 15

43)

43) ______
k=
A) 1

44) -z = -10
A) -10

B) 8

C) 9

D) 2

B) 10

C) -1

D) 0

44) ______

45)

45) ______
+ 4 = 10
A) 44

46) -7x + 2x + 4 = -2x
A)

B) 42

C) 18

D) 9
46) ______

B)

-

C)

-

D)
-

47) 5r + 7 = 52
A) 9

B) 3

C) 44

D) 40

48) 6n - 6 = 24
A) 5

B) 24

C) 10

D) 28

49) -37 = -4x + 3
A) 6

B) 10

C) -32

D) -36

47) ______

48) ______

49) ______

50)

50) ______
a= -6
A) -29

B) 29

C) 31

D) -31

51)

51) ______
f-3=1
A) 12

52) -2x - 6x = 7 - 15
A) 1

B) 24

C) -24

D) -12
52) ______

B) 8

C) -1

53) 6x - x = 38 - 3
A) 5

B) 7

C) -5

54) -7x - 10 + 6x - 3 = 2
A) 5

B)

-

D) -8
53) ______
D) -7
54) ______

C)

55) 0.2x - 0.5x - 3 = 12
A) 50

15

D)

15

55) ______
B) 48

C) -48

D) -50

Write the algebraic expression described.
56) If x represents the first of three consecutive even integers, express the sum of the three integers
in terms of x.
A) 3x + 12
B) 3x + 3
C) x + 6
D) 3x + 6

56) ______

57) If x represents the first of four consecutive odd integers, express the sum of the first integer and
the fourth integer in terms of x.

A) 2x + 8
B) 2x + 6
C) 2x + 3
D) 4x + 12

57) ______

58) If x is the first of three consecutive integers, express the sum of 21 and the third integer as an
algebraic expression in terms of x.
A) x + 23
B) x + 22
C) 2x + 23
D) x + 21

58) ______

Solve the equation.
59) 9x - (5x - 1) = 2
A)

59) ______
B)

C)

D)

60) 3(4x - 1) = 12
A)

61) (y - 6) - (y + 5) = 2y
A)

60) ______
B)

C)

D)

61) ______
B)

62) 4p = 7(9p + 5)
A)

-

C)
-

D)
62) ______

B)

C)

D)
-

63) 14(7c - 8) = 8c - 8
A)

63) ______
B)

C)

D)
-

64) 2(y + 4) = 3(y - 7)
A) 29

B) 13

C) -29

D) -13

65) 3(2z - 3) = 5(z + 2)
A) 1

B) 4

C) 19

D) -1

66) 4p = 5(6p + 5)
A)

B)

C)

D)

64) ______

65) ______

66) ______
-

67) 5(2z - 2) = 9(z + 3)

67) ______


A) -17
68) 4x + 4(-2x - 2) = -5 - 7x
A)

B) 37

C) 22

D) 17

B) 1

C)

D) - 1

68) ______
-

69)

69) ______
-5=1
A) -24

B) -36

C) 24

D) 36

70)

70) ______
=4
A) 120

B) 60

C) -60

D) -120

71)

71) ______
x+
=
A) -16

x
B) 28

C) 16

D) -28

72)

72) ______
= -3
A) 8

B) -10

C) -8

D) 10

73)

73) ______
- 7 = -4
A) 57

B) -59

C) 59

D) -57

74)

74) ______
=x
A) -4

B)

C) 7

D) 4

75)

75) ______
= 1 - 3y
A)

B)

C)

D)

Write the algebraic expression described. Simplify if possible.
76) Two numbers have a sum of 23. If one number is q, express the other number in terms of q.
A) q - 23
B) 23 - 2q
C) 23 - q
D) q + 23

76) ______

77) A 53-centimeter piece of rope is cut into two pieces. If one piece is z centimeters long, express the
other length as an algebraic expression in z.
A) (z - 53) cm
B) (53 - 2z) cm
C) (53 - z) cm
D) (z + 53) cm

77) ______

78) In the race for Student Body President, Jose received 213 more votes than Angela. If Angela
received x votes, how many votes did Jose receive?
A) (x + 213)
B) (213 - x) votes
C) (x - 213) votes
D) (213x) votes

votes

78) ______


Solve the equation.
79) -5.4m + 6 + 2.3m = -7.2 - 3.1m + 13.2
A) 1.9
C) all real numbers

79) ______
B) 0
D) no solution

80) 8x - 9 + 7x + 5 = 9x + 6x - 7
A) 224
C) all real numbers

B) 0
D) no solution

81) 7(x + 7) = (7x + 49)
A) 0
C) all real numbers

B) 98
D) no solution

82) 5(x + 2) - (5x + 10) = 0
A) 0

C) all real numbers

B) 2
D) no solution

80) ______

81) ______

82) ______

83)

83) ______
(10x - 15) = 6( x - ) + 4
A) 1
C) all real numbers

B) 0
D) no solution

84)

84) ______
-6=
A) 24
C) all real numbers

B) 0
D) no solution

85) -2(x - 4) - 55 = 5x - 7(x + 1)
A) -62
C) all real numbers

B) -48
D) no solution

86) 0.04(9x - 1) = 0.36(x + 7) - 2.56
A) -2.56
C) all real numbers

B) -0.04
D) no solution

85) ______

86) ______

Write the following as an equation, using x for the unknown number. Then solve.
87) Four times a number added to 8 times the number equals 60. Find the number.
A) 4(x + 8) = 60x; 0.6
B) 4x(8 + x) = 60; 7.5
C) 4x + 8x = 60; 5
D) 4x - 8x = 60; -7.5

87) ______

88) When 3 times a number is subtracted from 7 times the number, the result is 40. Find the number.
A) 7x - 3x = 40; 10

B) 3x(7 - x) = 40; -10
C) 3(x - 7) = 40x; 1.8
D) 3x + 10x = 40; 4

88) ______

89) If 6 times a number is added to -6, the result is equal to 12 times the number. Find the number.
A) 6x + (-6) = 12x; -1
B) 4x + (-6) = 12x; 1
C) 18x - 12x = 6; 1
D) 12(6x - 6) = -6; -1

89) ______

90)

90) ______
Three-fourths of a number is
A)

. Find the number in lowest terms.


B)
+x=

C)

D)

;
x
=

x
=
;

x
=
;

;

91) The sum of four times a number and 1 is equal to the difference of twice the number and 3. Find
the number.
A)
B) 4x + 1 = 2x - 3; - 2
4(x + 1) = 2x - 3; C) 4x + 1 = 2x - 3; 2

91) ______

D) 4x + 1 = 2x + 3; 1

Solve.
92) The sum of four times a number and three is the same as the difference of twice the number and
eleven. Find the number.
A) 7
B) -7
C) -17

D) 4

92) ______

93)

93) ______
The difference of triple a number and
number.
A)
B)

is equal to the sum of the number and
C)

. Find the

D)

94) If the sum of a number and two is doubled, the result is six less than three times the number.
Find the number.
A) 5
B) 10
C)
D) 22

94) ______

95) Four times the difference of a number and one is equal to six times the sum of the number and
three. Find the number.

A) -7
B) 11
C) -2
D) -11

95) ______

96) Nine times a number, added to -4, is -49. Find the number.
A) 5
B) -45
C) -405

96) ______
D) -5

97) Eight times a number, added to 36, is 4. Find the number.
A) -4
B) -256
C) -32

D) 4

97) ______

98) Three times the sum of some number plus 3 is equal to 7 times the number minus 23.
A) 32
B) 8
C) -8
D) -32

98) ______

99) The difference of a number and 8 is the same as 36 less the number. Find the number.
A) 22
B) 14
C) - 22
D) - 14

99) ______

100) Six times some number added to 3 amounts to 1 added to the product of 4 and the number.
A) -1
B) -2
C) 2
D) 1

100) _____


101) Twice the sum of a number and -46 gives -6. Find the number.
A) 20
B) 43
C) -49
102) A number subtracted from 13 is the quotient of -42 and 6. Find the number.
A) 20
B) 19
C) 265

101) _____
D) -26

102) _____
D) 6

Solve the problem.
103) The president of a certain university makes three times as much money as one of the department
heads. If the total of their salaries is $180,000, find each worker's salary.
A) president's salary = $90,000; department head's salary = $45,000
B) president's salary = $45,000; department head's salary = $135,000
C) president's salary = $13,500; department head's salary = $4500
D) president's salary = $135,000; department head's salary = $45,000

103) _____

104) 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 $66 under this promotional deal, how many minutes of phone
calls did he make? Round to the nearest integer, if necessary.
A) 10 min
B) 1020 min
C) 3 min
D) 1620 min

104) _____

105) Two angles are complementary if their sum is 90°. If the measure of the first angle is x°, and the
measure of the second angle is (3x - 2)°, find the measure of each angle.
A) 1st angle = 31°; 2nd angle = 59°
B) 1st angle = 22°; 2nd angle = 64°
C) 1st angle = 22°; 2nd angle = 68°
D) 1st angle = 23°; 2nd angle = 67°

105) _____

106) A car rental agency advertised renting a luxury, full-size car for $39.95 per day and $0.39 per
mile. If you rent this car for 2 days, how many whole miles can you drive if you only have $200
to spend.
A) 405 mi
B) 100 mi
C) 307 mi
D) 12 mi

106) _____

107) A 10-ft. board is cut into 2 pieces so that one piece is 2 feet longer than 3 times the shorter piece.
If the shorter piece is x feet long, find the lengths of both pieces.
A) shorter piece: 6 ft; longer piece: 32 ft
B) shorter piece: 28 ft; longer piece: 30 ft
C) shorter piece: 2 ft; longer piece: 8 ft
D) shorter piece: 5 ft; longer piece: 30 ft

107) _____

108) In a recent International Gymnastics competition, the U.S., China, and Romania were the big
winners. If the total number of medals won by each team are three consecutive integers whose
sum is 57 and the U.S. won more than China who won more than Romania, how many medals
did each team win?
A) U.S.: 21 medals; China: 20 medals; Romania: 19 medals
B) U.S.: 59 medals; China: 58 medals; Romania: 57 medals
C) U.S.: 20 medals; China: 19 medals; Romania: 18 medals
D) U.S.: 18 medals; China: 17 medals; Romania: 16 medals

108) _____

109) Mary and her brother John collect foreign coins. Mary has th re e ti mes the number of coins
that John has. Together they have 140 foreign coins. Find how many coins Mary has.
A) 35 coins
B) 105 coins
C) 98 coins
D) 21 coins

109) _____

110) Center City East Parking Garage has a capacity of 257 cars more than Center City West Parking
Garage. If the combined capacity for the two garages is 1227 cars, find the capacity for each
garage.
A) Center City East:
485 cars
B) Center City East:
475 cars
Center City West:
742 cars
Center City West:
752 cars

110) _____


C) Center City East:
Center City West:

742 cars

485 cars

D) Center City East:
Center City West:

752 cars
475 cars

111) During an intramural basketball game, Team A scored 19 fewer points than Team B. Together,
both teams scored a total of 14 7 points. How many points did Team A score during the game?
A) 73 points
B) 8 3 points
C) 64 points
D) 6 5 points
Solve.
112) In a recent International Gymnastics competition, the U.S., China, and Romania were the big
winners. If the total number of medals won by each team are three consecutive integers whose
sum is 96 and the U.S. won more than China who won more than Romania, how many medals
did each team win?
A) U.S.: 33 medals; China: 32 medals; Romania: 31 medals
B) U.S.: 31 medals; China: 30 medals; Romania: 29 medals
C) U.S.: 98 medals; China: 97 medals; Romania: 96 medals
D) U.S.: 34 medals; China: 33 medals; Romania: 32 medals
113) The sum of three consecutive integers is 564. Find the numbers.
A) 186, 187, 188
B) 186, 188, 190
C) 187, 188, 189

111) _____

112) _____

113) _____
D) 188, 189, 190

114) The house numbers of two adjacent homes are two consecutive even numbers. If their sum is
338, find the house numbers.
A) 167, 169
B) 168, 336
C) 169, 171
D) 168, 170

114) _____

115) The code to unlock a safety deposit box is three consecutive odd integers whose sum is 81. Find
the integers.
A) 27, 29, 31
B) 25, 27, 29
C) 27, 28, 29
D) 26, 28, 30

115) _____

116) You have taken up gardening for relaxation and have decided to fence in your new rectangular
shaped masterpiece. The length of the garden is 8 meters and 54 meters of fencing is required to
completely enclose it. What is the width of the garden?
A) 6.75 m
B) 19 m
C) 432 m
D) 38 m

116) _____

117) Ted drove to his grandparents' house for a holiday weekend. The total distance (one-way) was
250 miles and it took him 4 hours. How fast was Ted driving? (Round answer to the nearest
whole number)
A) 10 mph
B) 16 mph
C) 100 mph
D) 63 mph

117) _____

118) Sally is making a cover for a round table. When finished, the cover will fit exactly with no excess
hanging off. Sally has to cut the fabric circle with a 4 inch larger diameter than the table to allow
for hemming. If the table has a diameter of 42 inches, how much fabric does Sally need? (Use
3.14 for π. Round to 2 decimal places.)
A) 1661.06
B) 6079.04
C) 1962.5
D) 6644.24

118) _____

119)

119) _____
Use the formula F =
A) 13° F

C + 32 to write 25° C as degrees Fahrenheit.
B) -3.8° F
C) 31.8° F

D) 77° F

120)

120) _____
Use the formula C =
A) 95° C

(F - 32) to write 203° F as degrees Celsius.
B) 130.6° C
C) 80.8° C

D) 397.4° C


121) It took Sara's mother 4 hours round trip to drive to the University and bring Sara back home for
spring break. If the University is 96 miles from home, find her mother's average speed.
A) 49 mph
B) 24 mph
C) 48 mph
D)
55

121) _____

mph

122)

122) _____
You are varnishing the background for a rectangular mural. The base of the mural is 6 meters
and the height of the mural is 5 meters. How many cans of varnish will you need if each can
covers 10 square meters?
A) 7 cans of varnish
B) 13 cans of varnish
C) 4 cans of varnish
D) 33 cans of varnish

Substitute the given values into the formula and solve for the unknown variable.
123) d = rt; t = 6, d = 12
A) 0.5
B) 2
C) 6
124) P = 2L + 2W; P = 18, W = 6
A) 3
B) 9

123) _____
D) 18
124) _____

C) 12

D) 6

125)

125) _____
V = Bh; V = 42, h = 6
A) 252

B) 48

126) I = prt; I = 54, p = 300, r = 0.02
A) 324
B) 0.9

C) 7

D) 21
126) _____

C) 9

D) 3.24

127)

127) _____
A = (b + B)h; A = 85, b = 16, B = 18
A) 288
B) 17

C) 68

D) 5

C) t = dr

D)

Solve the equation for the indicated variable.
128) d = rt
for t
B) t = d - r

A)

128) _____

t=

t=

129) I = Prt
for P
A) P = r - It

129) _____
B)

C)
P=

D)
P=

P=

130)

130) _____
A = bh
A)

for h
B)

h=

C)
h=

D)
h=

h=

131)

131) _____
V = Ah
A)
h=

for h

B)

C)
h=

D)
h=

h=


132) P = a + b + c
for c
A) c = P + a - b
133) P = 2L + 2W
A)

132) _____
B) c = P - a - b

C) c = a + b - P

D) c = P + a + b
133) _____

for L
B) L = P - W

D) L = P - 2W

C)

L=

L=

134) A = P + PRT
A)

134) _____

for R
B)

R=

C)
R=

D)
R=

R=

135)

135) _____
F = C + 32
A)
C=

for C
B)

(F - 32)

136) S = 2πrh + 2πr2
A)

C)
C=

D)
C=

(F - 32)

C=
136) _____

for h
C) h = 2π(S - r)

B)
h=

h=

D) h = S - r

-1

137)

137) _____
A = h(B + b)
A)

for b

b=

C) b = 2A - Bh

B)
b=

Solve. Round to the nearest hundredth, if necessary.
138) 5% of 400 is what number?
A) 20
B) 200
139) What number is 87% of 204?
A) 177.48
B) 1774.8

D)
b=

138) _____
C) 2

D) 0.2
139) _____

C) 17,748

D) 17.75

140) 938 is what percent of 778?
A) 0.12%
B) 1.21%

C) 82.94%

D) 120.57%

141) 4.3 is what percent of 22.5?
A) 19.11%
B) 523.26%

C) 5.23%

D) 0.19%

142) What percent of 198 is 16.5?
A) 8.33%
B) 0.08%

C) 1200.00%

D) 0.12%

143) 69 is 30% of what number?
A) 20.7
B) 230

C) 2300

D) 23

144) 15 is 7% of what number?
A) 105
B) 2142.9

C) 214.29

D) 21.43

145) 30% of what number is 85?

140) _____

141) _____

142) _____

143) _____

144) _____

145) _____


A) 28.33

B) 2833.3

C) 25.5

D) 283.33

The circle graph below shows the number of pizzas consumed by college students in a typical month. Use the graph to
answer the question.

146) What percent of college students consume 1-2 pizzas in a typical month?
A) 18%
B) 2%
C) 34%

146) _____
D) 41%

147) If State University has approximately 42,000 students, about how many would you expect to
consume 5-6 pizzas in a typical month?
A) 7560 students
B) 1428 students
C) 14,280 students
D) 756 students
Solve. Round answers to the nearest cent.
148) A store is advertising a

off sale on all new DVD releases. Find the discount of a newly
released DVD collectors set that regularly sells for $69.00.
A) $67.97
B) $10.35
C) $1.04

147) _____

148) _____

D) $58.65

149) An automobile dealership recently reduced the price of a used sports car by 28%. If the price of
the car was $25,700.00, find the discount.
A) $719.60
B) $24,980.40
C) $7196.00
D) $18,504.00

149) _____

150) A store is advertising

150) _____

that regularly sells for
A) $42.50
151) A store is advertising
that regularly sells for
A) $3120.00

off sale on everything in the store. Find the discount of a painting
B) $165.75

C) $4.25

D) $127.50

off sale on everything in the store. Find the discount of a painting
B) $80.00

C) $800.00

151) _____

D) $2400.00

152) A store is advertising a
off sale on all new DVD releases. Find the sale price of a newly
released DVD collectors set that regularly sells for $68.00.
A) $62.56
B) $5.44
C) $67.46
D) $0.54

152) _____

153) An automobile dealership recently reduced the price of a used sports car by 40%. If the price of
the car was $36,300.00, find the sale price.
A) $14,520.00

B) $34,848.00
C) $1452.00
D) $21,780.00

153) _____

154) A store is advertising

regularly

off sale on everything in the store. Find the sale price of a camera that


sells for

154)
A) $3332.00

155) A store is advertising
regularly sells for
A) $960.00

____
_
B) $68.00

C) $6.80

D) $272.00

off sale on everything in the store. Find the sale price of a sofa that
B) $64.00

C) $640.00

155) _____

D) $1536.00

156) Jeans are on sale at the local department store for 15% off. If the jeans originally cost $49, find the
sale price. (Round to the nearest cent.)
A) $7.35
B) $56.35
C) $48.27
D) $41.65
Solve. Round to the nearest tenth, if necessary.
157) Due to a lack of funding, the number of students enrolled at City College went from 7000 last
year to 3000 this year. Find the percent decrease in enrollment. (Round to the nearest tenth of a
percent, if necessary.)
A) 233.3%
B) 133.3%
C) 57.1%
D) 42.9%

156) _____

157) _____

158) A company increased the number of its employees from 480 to 495. What was the percent
increase in employees?

A) 3%
B) 50.8%
C) 3.1%
D) 97%

158) _____

159) The number of video stores in a region recently decreased from 54 to 33. Find the percent
decrease.
A) 38.9%
B) 63.6%
C) 157.1%
D) 61.1%

159) _____

160) In the past ten years, the population of a city decreased from 95,000 to
decrease.
A) 5.3%
B) 5.6%
C) 1800%

160) _____

Find the percent
D) 94.7%

Solve.
161) Sales at a local ice cream shop went up 40% in 5 years. If 12,000 ice cream cones were sold in the
current year, find the number of ice cream cones sold 5 years ago. (Round to the nearest integer,

if necessary.)
A) 8571 ice cream cones
B) 30,000 ice cream cones
C) 7200 ice cream cones
D) 4800 ice cream cones

161) _____

162) Attendance this year at the homecoming football game is 153% of what it was last year. If last
year's homecoming football game attendance was 32,000, what is this year's attendance? (Round
to the nearest integer, if necessary.)
A) 209 people
B) 48,960 people
C) 4781 people
D) 489,600 people

162) _____

163) How much pure acid should be mixed with 8 gallons of a 50% acid solution in order to get an
80% acid solution?
A) 12 gal
B) 20 gal
C) 4 gal
D) 32 gal

163) _____

164) A chemist needs 6 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) 2.4 liters of the 20% solution; 3.6 liters of the 70% solution
B) 3 liters of the 20% solution; 3 liters of the 70% solution
C) 1.8 liters of the 20% solution; 4.2 liters of the 70% solution

164) _____


D) 1.2 liters of the 20% solution; 4.8 liters of the 70% solution
165) The owners of a candy store want to sell, for $6 per pound, a mixture of
raisins, which usually sells for $3 per pound, and

165) _____

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) 80 lbs.
B) 70 lbs.
C) 75 lbs.
D) 65 lbs.
166) The manager of a coffee shop has one type of coffee that sells for $9 per pound and another type
that sells for $15 per pound. The manager wishes to mix 70 pounds of the $15 coffee to get a
mixture that will sell for $10 per pound. How many pounds of the $9 coffee should be used?
A) 210 pounds
B) 175 pounds
C) 350 pounds
D) 420 pounds

166) _____

167) The manager of a candy shop sells chocolate covered peanuts for $10 per pound and chocolate
covered cashews for $15 per pound. The manager wishes to mix 80 pounds of the cashews to get

167) _____

a
mixture that will sell for $14 per pound. How many pounds of peanuts should
be used?
A) 100 pounds
B) 20 pounds
C) 50 pounds
D) 10 pounds
Graph on a number line.
168) x > -6

168) _____

A)
B)
C)
D)

169) x < 3

169) _____

A)

B)
C)
D)

170) 5 ≤ x

A)

170) _____


B)
C)
D)

171) x ≤ 0

171) _____

A)
B)
C)
D)

172) 3 ≤ x ≤ 7

172) _____

A)
B)

C)
D)

173) -1 < x < 3

173) _____

A)
B)
C)
D)

174) 2 ≤ x < 6

174) _____


A)
B)
C)
D)

Solve the inequality.
175) x + 5 < 1

175) _____

A) {x

}

B) {x

}

C) {x

}

D) {x

}

176) 4x + 3 > 3x - 5

176) _____

A) {x

}

B) {x

}

C) {x

}

D) {x

}

177) -3x - 6 ≤ -4x + 3

A) {x

}

177) _____


B) {x

}

C) {x

}

D) {x

}

178) -11x + 7 ≥ -12x + 4

A) {x

}

B) {x

}

C) {x

}

D) {x

}

179) x - 12 < -6

179) _____

A) {x

}

B) {x

}

C) {x

}

D) {x

}

180) -10 - 3x + 4 ≥ -4x - 9

A) {x

178) _____

}

180) _____


B) {x

}

C) {x

}

D) {x

}

181)

181) _____
≥7

A) {y

}

B) {y

}

C) {y

}

D) {y

}

182)

182) _____
-2<

183)

A) {x

}

B) {x

}

C) {x

}

D) {x

}

-5≥


183)

____
_

A) {y

}

B) {y

}

C) {y

}

D) {y

}

184)

184) _____
0<

A) {x

}

B) {x

}

C) {x

}

D) {x

}

185)

185) _____
>4

A) {x

}

B) {x

}

C) {x

}


D) {x

}

186) 4x > 68

186) _____

A) {x

}

B) {x

}

C) {x

}

D) {x

}

187) 5x ≤ 95

187) _____

A) {x

}

B) {x

}

C) {x

}

D) {x

}

188) 8x + 18 > 2(3x + 2)

A) {x

}

B) {x

}

188) _____


C) {x

}

D) {x

}

189) -5(2y - 3) < -15y + 45

A) {y

}

B) {y

}

C) {y

}

D) {y

}

190) -24x + 6 ≤ -6(3x + 1)

A) {x

}

B) {x

}

C) {x

}

D) {x

}

191) 14x - 18 ≤ 2(6x - 13)

A) {x

}

189) _____

190) _____

191) _____


B) {x

}

C) {x

}

D) {x

}

192) 2x + 6 + 4x < 2 + 4x + 6

A) {x

}

B) {x

}

C) {x

}

D) {x

}

192) _____

Solve.
193) The area of a rectangle must be at least 144 square feet. If the length is 8 feet, find the minimum
for the rectangle's width.
A)
B) 19 ft
C) 18 ft
D) 64 ft

193) _____

ft
194) Seven less than three times a number is less than ten. Find all such numbers.
A) x > - 1
B)
C) x < 1
D)
x<

194) _____
x<

195) Claire has received scores of 85, 88, 87, and 85 on her algebra tests. What is the minimum score

she must receive on the fifth test to have an overall test score average of at least 88? (Hint: The
average of a list of numbers is their sum divided by the number of numbers in the list.)
A) 93
B) 95
C) 96
D) 94

195) _____

196) A student scored 71, 89, and 97 on three algebra tests. What must he score on the fourth test in
order to have an average grade of at least 85?
A) 83
B) 86
C) 30
D) 64

196) _____

197) A certain vehicle has a weight limit for all passengers and cargo of 1199 pounds. The four
passengers in the vehicle weigh an average of 155 pounds. Use an inequality to find the
maximum weight of the cargo that the vehicle can handle.
A) at most 579 pounds
B)

197) _____


pounds
at most
C)

D) at most 1044 pounds
at most

pounds

198) A certain store has a fax machine available for use by its customers. The store charges $1.80 to
send the first page and $0.55 for each subsequent page. Use an inequality to find the maximum
number of pages that can be faxed for $5.65
A) at most 10 pages
B) at most 43 pages
C) at most 3 pages
D) at most 8 pages

198) _____

199) An archer has $205 to spend on a new archery set. A certain set containing a bow and three
arrows costs $52. With the purchase of this set, he can purchase additional arrows for $9 per
arrow. Use an inequality to find the maximum number of arrows he could obtain, including
those with the set, for his $205.
A)
B) at most 17 arrows

199) _____

at most

arrows

C)

D) at most 20 arrows
at most

arrows

200) When making a long distance call from a certain pay phone, the first three minutes of a call cost
$1.90. After that, each additional minute or portion of a minute of that call costs $0.20. Use an
inequality to find the maximum number of minutes one can call long distance for $3.70.
A) at most 19 minutes
B) at most 9 minutes
C) at most 12 minutes
D) at most 2 minutes

200) _____

201) It takes 10 minutes to set up a candy making machine. Once the machine is set up, it produces 30
candies per minute. Use an inequality to find the number of candies that can be produced in 4
hours if the machine has not yet been set up.
A) at most 1200 candies
B) at most 2100 candies
C) at most 6900 candies
D) at most 120 candies

201) _____

202) A standard train ticket in a certain city costs

202) _____

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 only
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) 23 or more times
B) 24 or more times
C) 25 or more times
D) 26 or more times
Fill in the blank with one of the words or phrases listed below.

203) A(n)
can be written in the form ax + b = c.
A) reversed
B) linear inequality in one variable
C) linear equation in one variable
D) formula

203) _____

204)

Equa tions

that have 204)
the same
solution
are
called

____
_

.
A) the same
C) all real numbers

B) equivalent equations
D) reversed

205) An equation that describes a known relationship among quantities is called a(n)
.
A) linear inequality in one variable
C) formula
206) A(n)
A) formula
C) reversed

B) linear equation in one variable
D) no solution

can be written in the form ax + b < c, (or >, ≤, ≥).
B) linear equation in one variable
D) linear inequality in one variable

207) The solution(s) to the equation x + 5 = x + 5 is/are
A) all real numbers
C) reversed

B) the same
D) no solution

208) The solution(s) to the equation x + 5 = x + 4 is/are
A) reversed
C) the same

.
B) all real numbers
D) no solution

direction of the inequality symbol is
A) the same
C) all real numbers

208) _____

210) _____

.
B) no solution
D) the same

Solve the equation.
211)

211) _____
B) -15

C) 2

D) 1

212) 4(2z - 4) = 7(z + 5)
A) 23

B) 51

C) 19

D) -19

213) - 6b + 7 + 4b = -3b + 12
A) -7

B) -12

C) 12

D) 5

214) 2x + 1 - 9x + 9 = 6x - 13x + 7
A) all real numbers

209) _____

.
B) reversed
D) no solution

210) If both sides of an inequality are multiplied by the same negative number, the direction of the

x = -3
A) -1

206) _____

207) _____

.

209) If both sides of an inequality are multiplied or divided by the same positive number, the

inequality symbol is
A) all real numbers
C) reversed

205) _____

212) _____

213) _____

214) _____
B) -288