Beginning and intermediate algebra 5th edition lial test bank

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the equation.
1) s - 7 = 8
1) _______
A) {-1}
B) {-15}
C) {15}
D) {1}
2) b + 4 = 8
A) {- 4}

B) {4}

C) {12}

D) {- 12}

3) 5p - 16 = 4p - 6
A) {10}

B) {11}

C) {9}

D) {-5}

4) 6m + 8 = 7m + 12
A) {3}

B) {-4}

C) {-5}

D) {-3}

5) 3.1p + 29 = 4.1p + 14
A) {14}

B) {16}

C) {13}

D) {15}

6) -0.222x - 2 = 0.778x
A) {-2}

B) {2}

C) {-4}

D) {-0.222}

7) -7x + 4 + 8x = 0
A) {-4}

B) {4}

C) {0.308}

D) {3.25}

2) _______

3) _______

4) _______

5) _______

6) _______

7) _______

8)

8) _______
x-1=A) {1}

x
B) {- 1}

C) {- 5}

Solve the equation. First simplify the expression by combining like terms.
9) 10y = 5y + 10 + 4y
A) { 100 }
B) { -100 }
C) { 10 }
10) - 7a + 5 + 8a = 5 - 24
A) { 24 }

11) - 9b + 6 + 7b = -3b + 11
A) { 11 }
12) 5.9x - 4.9 - 8x = -2.1x - 4.9
A) { -1 }

D) {5}

9) _______
D) { -10 }
10) ______

B) { -24 }

C) { -34 }

D) { 34 }
11) ______

B) { -6 }

C) { 5 }

D) { -11 }
12) ______

B) { 1 }

C) { 0 }

D) { -2.1 }

13)

13) ______
x+2=
A)

-

x+
B)

C)

D)

14) 4(y + 3) = 5(y - 2)
A) {2}

B) {22}

C) {-22}

D) {-2}

15) 4(2z - 5) = 7(z + 2)
A) {-6}

B) {-2}

C) {34}

D) {6}

14) ______

15) ______


16) -5(k - 1) - (-6k + 1) = 9
A) {- 11}

16) ______
B) {- 5}

17) 3(7x - 1) + 8(3 + 7x) = (-15 + 78x)
A) {21}
B) {6}

C) {13}

17) ______
C) {36}

Translate the sentence into an equation using the variable x.
18) The sum of a number and 4 is 17.
A) 4x = 17
B) x + 4 = 17
C) x + 17 = 4
19) A number minus 3 equals 5.

A) 3 - x = 5
B) x = 5 - 3

D) {5}

D) {-12}

18) ______
D) x = 4 + 17
19) ______

C) x = 3 - 5

20) 5 times a number equals 2 less than 6 times the number.
A) 5x = 2 - 6x
B) 5x = 2 - 6
C) 5x = 6x - 2

D) x - 3 = 5
20) ______
D) 5x - 2 = 6x

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.
21)
21) ______
x = 8; multiplied
A)

B) 2

C) 4

D) 8

22)

22) ______
x = -9; multiplied
A) -9

B)

C) 8

D)

B) 0.3

C) 7

D)

B) -0.72

C)

D) - -0.72

23) 0.3x = 7; multiplied

A)

23) ______

24) -x = -0.72; multiplied
A) -1

24) ______
-

25) 7x = -5; divided
A)

25) ______
B) -7

C) 7

D) -5

26) -x = 0.64; divided
A)

B) -1

C)

D) 0.64

27) 0.1x = 9; divided

A) 1

B) 0.1

C) 9

D) 10

Solve the equation.
28)
x = -7

26) ______

27) ______

28) ______


A) {-56}

B) {-1}

C) {0}

D) {1}

29)

29) ______

a = -2
A) {1}

B) {-1}

C) {0}

D) {-6}

30)

30) ______
b = -4.61
A) {-2.00}

B) {-0.61}

C) {0.39}

D) {-23.05}

31)

31) ______
a=0
A) {0}

B) {1}

C) {10}

D) {-10}

32)

32) ______
=8
A) {12}

33) -7a = 49
A) {1}

B) {32}

C) {11}

D) {2}
33) ______

B) {56}

C) {-7}

D) {-56}

34) -7.2c = -28.8
A) {21.6}

B) {-21.6}

C) {4.0}

D) {2.0}

35) -8x = -40
A) {-32}

B) {2}

C) {32}

D) {5}

36) -3b = 54
A) {-18}

B) {57}

C) {1}

D) {-57}

34) ______

35) ______

36) ______

37)

37) ______
-

p=
A)

38) -x = 24
A) {- 24}
39) -x = - 10
A) {10}

B)

C)

D)

38) ______
B) {1}

C) {24}

D) {0}
39) ______

B) {1}

C) {0}

D) {- 10}

40)

40) ______
-x = A) {1}

B)

C)

D) {-11}

41) 9x + 7x = 32
A)

B)

C) {2}

D) {16}

41) ______


42) 10x - 5x + 3x = 24
A) {16}

B)

C) {3}

D)

43) 10x + 3x - 5x = 24
A)

B)

C) {3}

D) {16}

42) ______

43) ______

44)

44) ______
x+
x+
A) -167

x = 74
B) -166

C) 168

D) 169

Write an equation using the information given in the problem. Use x as the variable.
45) When a number is multiplied by 4, the result is 10.
A) 10x = 4
B)
C) 4x = 10
D)
=4
46) When a number is divided by 6, the result is 10.
A)
B)
=6

45) ______
= 10
46) ______

C) 6x = 10

D) 10x = 6

= 10

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
47) While solving an equation, why can't you multiply both sides of the equation by zero?
47) _____________
48) What is the Multiplication Property of Equality?

48) _____________

49) When does the solution of a linear equation not require the use of the Multiplication
Property of Equality?

49) _____________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
50) Which equation does not require the use of the multiplication property of equality to solve the
50) ______
equation?
A) - 8x + 7x = 6
B) 8x + 6 - (-7x + 7) = 6
C) -7x - (- 8)x = 6
D)
-

x=6+7

51) Tell whether you would use the addition or multiplication property of equality to solve the
equation:
z - 1 = 5.
A) Multiplication property
B) Addition property

51) ______

52) Tell whether you would use the addition or multiplication property of equality to solve the

52) ______

equation:

.
A) Addition property

B) Multiplication property

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
53) A student tried to solve the equation 8x = 35 by dividing each side by 35. Why is this not 53) _____________
the correct procedure for solving this equation?
54) State how you would find the solution of a linear equation if your next-to-last step reads

"-x = 35."


54)

_____________
55) Write an equation that requires the use of the multiplication property of equality, where
both sides must be multiplied by

55) _____________

and where the solution is a negative number.

56) Write an equation that requires the use of the multiplication property of equality, where
both sides must be multiplied by 100 and where the solution isn't an integer.

56) _____________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the equation.

57) 8r + 9 = 41
57) ______
A) {4}
B) {28}
C) {3}
D) {24}
58) 5n - 7 = 13
A) {15}

B) {19}

C) {9}

D) {4}

59) -8y - 10 = -1 + 7y
A)

B)

C)

D)

58) ______

60) -9 w - 8 = 5 - 7 w
A)

61) 6 m + 4 = 9 - 5 m + 7 m

A)

59) ______

60) ______
B)

C)

D)

61) ______
B)

C)

D)

62) 4x - (3x - 1) = 2
A)

B)

C)

D)

63) 3(3x - 1) = 12
A)

B)

C)

D)

62) ______

63) ______

64) 2(x + 3) = (2x + 6)
A) {all real numbers}
C) {∅}

64) ______
B) {0}
D) {12]

65) 4(x + 3) - (4x + 12) = 0
A) {3}
C) {0}
66) (y - 7) - (y + 5) = 6y
A)

67)

65) ______
B) {∅}
D) {all real numbers}
66) ______

B)

C)

D)

67) ______
(r + 6) =

(r + 8)


A) {2}

B) {-2}

C) {-1}

D) {1}

68)

68) ______
x- x=5
A) {150}

B) {75}

C) {-150}

D) {-75}

69)

69) ______
-

(x - 12) A)

(x - 6) = x + 2
B)

C)

D)

70)

70) ______
y - (y +
A)

)=

( y - 8)
B)

71) 0.08(50) + 0.4x = 0.2(50 + x)
A) {30}
B) {15}

72) 0.02(300) + 0.08x = 0.05(300 + x)
A) {290}
B) {150}

C)

D)

71) ______
C) {40}

D) {20}
72) ______

C) {300}

D) {310}

73) 0.4x - 0.3(30 + x) = -0.2(30)
A) {40}
B) {20}

C) {15}

D) {30}

74) -1.235(4000) + 0.8x = 0.06(4000 + x)
A) {7100}
B) {6900}

C) {7000}

D) {3500}

75) 4(2z - 3) = 7(z + 5)
A) {27}

B) {47}

C) {23}

D) {-23}

76) -8x + 4(3x - 5) = -9 - 7x
A)

B)

C)

D)

73) ______

74) ______

75) ______

76) ______

77) 4(x + 5) - (4x + 20) = 0
A) {0}
C) {5}

77) ______
B) {∅}
D) {all real numbers}

78)

78) ______
(10x - 25) =
A) {1}

(15x - 6)
B) {-1}

C)

D) {- 10}

79)

79) ______
(6x - 8) =
A) {1}

(12x - 9)

80) -(7y - 1) - (-6y + 6) = 7

B) {-1}

C) {- 7}

D)

80) ______


A) {12}

B) {-14}

81) 0.16(x + 65) + 0.36(x + 85) = -37
A) {150}
B) {20}

C) {-12}

D) {-2}

C) {-150}

D) {-20}

81) ______

Write the answer to the problem as an algebraic expression.
82) Two numbers have a sum of 36. One of the numbers is q. Find the other number.

A) 36 - q
B) q - 36
C) 36 + q
D) q + 36

82) ______

83) The product of two numbers is 15. One of the numbers is t. Find the other number.
A) 15 - t
B)
C)
D) 15 t

83) ______

84) Today the Center City baseball team scored 4 runs. The day before yesterday they scored z. How
many runs did they score in these two days?
A) 4 - z runs
B) 4 z runs
C) 4 + 2z runs
D) 4 + z runs

84) ______

85) Susan has 3 cats. She gave t to her lonely aunt. How many does she have left?
A) 3 - t cats
B) t + 3 cats
C) t - 3 cats
D) 3 + t cats

85) ______

86) Bill is q years old. How old will he be in 8 years? How old was he 9 years ago?
A) q 8; 3 - 9
B) q + 8; q - 9
C) q + 9; q - 8
D) q + 8; 9 - 3

86) ______

87) Elizabeth earned 9 dollars a day at her job. Assuming a 5-day work week, how much did she
earn in s weeks?
A) 45 s dollars
B) 9 s dollars
C) 9 + s dollars
D) 45 + s

87) ______

88) A water tank holds G gallons. Since there are 4 quarts per gallon, how many quarts does the tank
hold?
A)
B) G + 4 quarts
C)
D) 4G quarts

88) ______

quarts

quarts

89) A theater ticket for adults is A dollars and the price of a child's ticket is C dollars. If 12 adults
and 27 children attend the theater one night, how much money did the theater make?
A) 324 A C dollars
B) 12 A + 27 C dollars
C) 12 C + C A dollars
D) 27 A + 12 C dollars

89) ______

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
90) Write the steps you would use to solve this equation: 9(x - 1) + 8x = -6x.
90) _____________
91) The solution set for the equation 4(5s - 2) = 20s - 8 is given as 0. Is this correct? Explain.

91) _____________

92) After working correctly through several steps of the solution of a linear equation, a
student obtains the equation 3x = 4x. Then the student divides each side by x to get 3 = 4
and gives ∅ as the answer. Is this correct? If not, explain why.

92) _____________

93) If an equation has decimals as coefficients, what step will make work easier?

93) _____________

94) If an equation has fractions as coefficients, what step will make work easier?

94) _____________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.


Solve the problem.
95) One half of a number is 3 more than one-sixth the same number. What is the number?
A) 9
B) 18
C) 8
D) 12

95) ______

96) The difference between two positive integers is 46. One integer is three times as great as the
other. Find the integers.
A) 23 and 46
B) 69 and 115
C) 46 and 69
D) 23 and 69

96) ______

97) If 16 is added to a number and the sum is doubled, the result is 15 less than the number. Find the
number.
A) -17
B) -1
C) -47
D) 17

97) ______

98) The sum of twice a number and 20 less than the number is the same as the difference between
-32 and the number. What is the number?
A) -4
B) -3
C) -6
D) -2

98) ______

99) A merchant has coffee worth $20 a pound that she wishes to mix with 90 pounds of coffee worth

99) ______

a pound to get a mixture that can be sold for
coffee should be used?
A) 67.5 pounds
B) 135 pounds

a pound. How many pounds of the
C) 225 pounds

D) 112.5 pounds

100) A paint mixture contains 47 gallons of base for every gallon of color. In 1488 gallons of paint,
how many gallons of color are there?
A) 496 gallons
B) 31 gallons

C) 744 gallons
D) 1457 gallons

100) _____

101) A reservation clerk worked 9 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?
A) 3 hours
B) 2 hours
C) 8 hours
D) 4 hours

101) _____

102) A high school graduating class is made up of 546 students. There are 146 more girls than boys.
How many boys are in the class?
A) 546 boys
B) 146 boys
C) 346 boys
D) 200 boys

102) _____

103) On August 17, the Fernandez family received 31 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?
A) 8 magazines
B) 13 magazines
C) 5 magazines

D) 6 magazines

103) _____

104) The sum of the measures of the angles in any triangle is 180 degrees. In triangle ABC, angles A
and B have the same measure, while angle C is 42 degrees larger than each of the other two
angles. Find the measure of angle C.
A) 46 degrees
B) 92 degrees
C) 88 degrees
D) 134 degrees

104) _____

105) Pennies are packaged 50 in a roll. A mother gave her son 192 pennies for his bank and had 8
pennies left over. How many rolls of pennies did she use?
A) 4 rolls
B) 6 rolls
C) 5 rolls
D) 7 rolls

105) _____

106) Elaine had 45 buttons. Her grandmother donated 5 cards of buttons to the collection. Elaine
sorted the buttons into 10 piles, putting 9 buttons in each pile. How many buttons were on each
card from Elaine's grandmother?
A) 84 buttons
B) 9 buttons
C) 43 buttons
D) 81 buttons

106) _____


107) Junior high classes of 25 students each met in the cafeteria to take achievement tests. If exactly 7
students sat at each table and 25 tables were used, how many classes took the tests?
A) 20 classes
B) 7 classes
C) 9 classes
D) 10 classes

107) _____

108) Find the measure of an angle whose supplement is 9 times the measure of its complement.
A) 39.4°
B) 20°
C) 10°
D) 78.75°

108) _____

109) Find the measure of an angle if its supplement measures 215° less than 6 times its complement.
A) 29°
B) 14°
C) 77.5°
D) 155°

109) _____

110) Find the measure of an angle such that the difference between its supplement and 4 times its

complement is 6°.
A) 31°
B) 68°
C) 62°
D) 136°

110) _____

111) Find the measure of an angle, if its supplement measures 67° more than twice its complement.
A) 67°
B) 134°
C) 77°
D) 23°

111) _____

112) Find the measure of an angle such that the sum of the measures of its complement and its
supplement is 114°.
A) 78°
B) 66°
C) 33°
D) 73°

112) _____

113) The sum of the measures of the angles of any triangle is 180°. In triangle ABC, angles A and B
have the same measure, while the measure of angle C is 15° larger than each of A and B. What
are the measures of the three angles?
A) A and B: 65°; C: 50°
B) A and B: 55°; C: 70°

C) A and B: 70°; C: 55°
D) A and C: 50°; B: 65°

113) _____

114) The sum of two consecutive integers is -263. Find the larger integer.
A) -132
B) -131
C) -133

114) _____
D) -130

115) The sum of three consecutive integers is 555. Find the integers.
A) 185, 186, 187
B) 183, 185, 187
C) 183, 184, 185

D) 184, 185, 186

116) The sum of three consecutive even integers is 162. Find the integers.
A) 56, 58, 60
B) 54, 56, 58
C) 52, 54, 56

D) 47, 48, 49

115) _____

116) _____

117) Two pages that face each other in a book have 441 as the sum of their page numbers. What is the
number of the page that comes first?
A) 219
B) 221
C) 218
D) 220

117) _____

118) If three times the smaller of two consecutive integers is added to four times the larger, the result
is 144. Find the smaller integer.
A) 60
B) 20
C) 21
D) 19

118) _____

119) If the first and third of three consecutive odd integers are added, the result is 51 less than five
times the second integer. Find the third integer.
A) 34
B) 17
C) 15
D) 19

119) _____

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Answer the question.

120) Which of the following would not be a reasonable answer in an applied problem that
requ ires finding the


number 120)
of cars
parked
in a
parking
lot?
(i) 42
(ii) 1
(iii)
1,000,010
(iv) 110

____
____
____

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
121) The following statement would be considered a step in solving an applied problem. True or
121) _____
false?
Skip checking your answer if you are certain it is correct. This wastes time.
A) False
B) True
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
122) If x represents a positive integer, how would you express its negative?
122) ____________

123) If x represents a negative integer, how would you express its negative?

123) ____________

124) How would you express the product of two numbers, r and s?

124) ____________

125) Two angles are complimentary. One of the angles is r. How do you express the other
angle?

125) ____________

126) Express three consecutive integers, all in terms of x, if x is the largest integer.

126) ____________

127) Two angles q and r are complimentary. The angle s is supplementary to q. Write an
equation showing the relationship between r and s.

127) ____________

128) One number is twice another. If the larger number is m, how do you express the other
number in terms of m?

128) ____________

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Decide whether the perimeter or area would be used to solve a problem concerning the measure of the quantity.
129) Measuring a room for baseboards

129) _____
A) Area
B) Perimeter
130) Measuring a garden for tilling
A) Area

130) _____
B) Perimeter

131) Measuring a garden for a border fence?
A) Perimeter

B) Area

131) _____

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.
132) P = 2L + 2W; L = 2, W = 5
132) _____
A) 20
B) 9
C) 7
D) 14


133)

133) _____
V = πr3; r = 3, π = 3.14

A) 37.68
B) 113.04

C) 36

D) 339.12

134)

134) _____
A = bh; b = 18, h = 18
A) 36

135) d = rt; t = 3, d = 12
A) 0.3

B) 162

C) 324

D) 36.5
135) _____

B) 9

136) P = 2L + 2W; P = 28, W = 7
A) 7
B) 10.5

C) 4

D) 15
136) _____

C) 21

D) 14

137)

137) _____
V = Bh; V = 28, h = 7
A) 196

B) 4

138) C = 2πr; C = 25.12, π = 3.14
A) 8
B) 28.26
139) A = πr2; r = 2, π = 3.14
A) 5.14

C) 35

D) 12
138) _____

C) 4

D) 157.75

139) _____

B) 19.72

140) I = prt; I = 6.6, p = 110, r = 0.06
A) 0.1
B) 1

C) 6.28

D) 12.56

C) 0.4356

D) 43.56

140) _____

141)

141) _____
A = (b + B)h; A = 68, b = 18, B = 16
A) 4
B) 288

C) 17

Use a formula to solve the problem.
142) What is the perimeter of a rectangle of length 10 ft and width 12 ft?
A) 88 ft

B) 22 ft
C) 32 ft
143) What is the area of a square with side 2.2 cm?
A) 10 cm2
B) 4.4 cm2

D) 34

142) _____
D) 44 ft
143) _____

C) 4.84 cm2

144) Find the area of a triangle with height 12 m and base 5 m.
A) 8.5 m2
B) 60 m2
C) 30 m2
145) A circle has a circumference of 30π meters. Find the radius of the circle.
A) 15 m
B) 30 m
C) 5 m

D) 19.36 cm2
144) _____
D) 120 m2
145) _____
D) 8 m

146) A rectangular Persian carpet has a perimeter of 176 inches. The length of the carpet is 18 inches

more than the width. What are the dimensions of the carpet?
A) 53 inches by 71 inches
B) 70 inches by 88 inches
C) 35 inches by 53 inches
D) 79 inches by 97 inches

146) _____

147) A square plywood platform has a perimeter which is 9 times the length of a side, decreased by
30. Find the length of a side.

147) _____


A) 1

B) 11

C) 6

D) 5

148) A pie-shaped (triangular) lake-front lot has a perimeter of 1400 feet. One side is 300 feet longer
than the shortest side, while the third side is 500 feet longer than the shortest side. Find the
lengths of all three sides.
A) 300 ft, 300 ft, 300 ft
B) 100 ft, 200 ft, 300 ft
C) 300 ft, 600 ft, 800 ft
D) 200 ft, 500 ft, 700 ft

148) _____

149) A baking pan measures 9 inches long, 9 inches wide, and 2 inches deep. What is the volume of
the pan.
A) 162 cubic inches
B) 20 cubic inches
C) 36 cubic inches
D) 81 cubic inches

149) _____

Find the measure of each marked angle.
150)

A) 60° and 120°

B) 45° and 135°

150) _____

C) 90° and 270°

D) 45° and 55°

151)

151) _____

A) 68° and 112°

B) 64° and 116°

C) 66° and 24°

D) 66° and 114°

152)

152) _____

A) 76° and 104°

B) 76° and 76°

C) 82° and 82°

D) 76° and 14°

Solve the formula for the specified variable.
153)
A = bh
A)
h=
154)

153) _____

for h
B)

C)
h=

D)
h=

h=
S=

2πrh +


2πr2
for h

154)

____
_
B) h = S - r

A)
h=

C) h = 2π(S - r)

D)

-1

h=

155)

155) _____
V = Bh
A)

for h
B)

h=

C)
h=

D)
h=

h=

156)

156) _____
I=
A)

for n
B)
n=

n=

157) P = a + b + c for a
A) a = b + P - c

D) n = IR(Ir - E)

C)
n=

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

C) a = b + c - P

D) a = P + b + c

158)

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

for C
B)

(F - 32)

C)
C=

(F - 32)

D)
C=

C=

159)

159) _____
A=

h(b1 + b2) for b1

A)

B)
b1 =

b1 =

C)

D)
b1 =

b1 =

160) a + b = s + r for r
A) r = a + b - s

160) _____
B)
r=

161) A = P(1 + nr)
A)

D) r = s(a + b)

C)
r=

+b

for r

161) _____
B)

r=

C)
r=

Express the phrase as a ratio in lowest terms.
162) 21 mi to 15 mi

A)
B)

163) 24 people to 9 people
A)

D)
r=

r=

162) _____
C)

D)

C)

D)

163) _____
B)


164) 52 ft to 36 ft
A)

164) _____
B)

C)

D)

165) 8 yd to 3 ft
A)

B) 8

C)

D)

166) 24 in. to 15 in.
A)

B)

C)

D)

167) 120 cm to 75 cm
A)

B)

C)

D)

165) _____

166) _____

167) _____

Find the best buy and give the unit price.
168) Brand X 20 oz for $6.80
Brand Y 16 oz for $5.28
A) Brand Y, $0.34
B) Brand X, $0.34
169) Brand A 24 oz for $8.64
Brand B 18 oz for $5.94
A) Equal value

C) Equal value

B) Brand A, $0.33

C) Brand B, $0.33

C) Brand B, $0.76

D) Brand A, $0.72
171) _____

B) Brand Y, $0.15

C) Equal value

D) Brand X, $0.13

172) _____
B) False

173)

173) _____
=
A) True

B) False

174)

174) _____
=
A) True

B) False

175)

175) _____
=
A) True

176)

D) Brand A, $0.36
170) _____

Decide whether the proportion is true or false.
172)
=
A) True

D) Brand Y, $0.33
169) _____

170) Brand A 25 oz for $18.00
Brand B 30 oz for $22.80
A) Brand A, $0.76
B) Equal value
171) Brand X 6 oz for $0.78
Brand Y 9 oz for $1.35
A) Brand Y, $0.13

168) _____

B) False


176)

____
_

=

A) True

B) False

177)

177) _____
=
A) True

B) False

Solve the equation.
178)
=
A) {24}

178) _____
B) {32}

C)

D)

179)

179) _____
=
A)

B) {20}

C) {2}

D)

180)

180) _____
=
A) {6}

B)

C)

D) {3}

181)

181) _____
=
A)

B)

C)

D)

182)

182) _____
=
A)

B)

C)

D)

183)

183) _____
=
A)

B) {30}

C)

D)

184)

184) _____
=
A)

B) {2}

C) {26}

D)

185)

185) _____
=
A)

B)

C)

D)


186)

186) _____
=
A) {16}

B) {52}

C)

D)

187)

187) _____
=
A)

B)

C) {4}

D) {18}

Solve the problem.
188) If a boat uses 21 gallons of gas to go 64 miles, how many miles can the boat travel on 84 gallons
of gas?
A) 276 mi
B) 16 mi
C) 512 mi
D) 256 mi

188) _____

189) If 4 hours are required to type 16 pages, how many hours would be required to type 28 pages?
A) 3 hr
B) 7 hr
C) 2 hr
D) 8 hr

189) _____

190) In a sample of 97 widgets, 5 were defective. How many defective widgets would you expect in a
sample of 776 widgets?
A) 43 widgets
B) 86 widgets
C) 40 widgets
D) 38 widgets

190) _____

191) The sides of a triangle are 8 inches, 9 inches, and 10 inches. If the shortest side of a similar
triangle is 32 inches, find its longest side.
A) 35 in.
B) 9 in.
C) 40 in.
D) 36 in.

191) _____

192) On a map of the Thunderbird Country Club golf course, 1.5 inches equals 45 yards. How long is
the 17th hole if the map shows 8.5 inches?
A) 255 yd
B) 573.75 yd
C) 382.5 yd
D) 7.9 yd

192) _____

193) A label printer prints 5 pages of labels in 4.5 seconds. How long will it take to print 160 pages of
labels?

A) 144 sec
B) 148 sec
C) 146 sec
D) 147 sec

193) _____

194) If a spring stretches 0.9 m when a 6-kg weight is attached to it, how much will it stretch when a
8-kg weight is attached to it?
A) 1.2 m
B) 4.2 m
C) 0.2 m
D) 3.2 m

194) _____

195) Dr. Smith can see 12 patients in 3 hours. At this rate, how long would it take him to see 36
patients?
A) 36 hr
B) 8 hr
C) 9 hr
D) 144 hr

195) _____

196) 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 141 yards with a pitching wedge, how far should she average with an 8-iron?
A) 113 yd
B) 176.25 yd
C) 132 yd

D) 150 yd

196) _____

197) The ratio of the lengths of strings that play the notes D and B is 27 to 16. If a string 48 cm long
plays a B, what is the length of the string that plays a D?
A) 64 cm
B) 81 cm
C) 75 cm
D) 48 cm

197) _____

198) Find the missing length in the similar triangles.


198)

____
_

A) x = 9

B) x = 12

C) x = 6

D) x = 3

199) Find the missing length in the similar triangles.

A) x = 12

B) x = 4

199) _____

C) x = 11

D) x = 16

200) Find the missing length in the similar triangles.

A) x = 25

B) x = 19

200) _____

C) x = 20

D) x = 12

201) A tree casts a shadow 15 m long. At the same time, the shadow cast by a 46-cm tall statue is 57
cm long. Find the height of the tree. Round results to the nearest unit.
A) 19 m
B) 12 m
C) 11 m
D) 17 m

201) _____

202) A triangle drawn on a map has sides of lengths 7.0 cm, 12 cm, and 15 cm. The shortest of the
corresponding real-life distances is 139 km. Find the longest of the real-life distances. Round to
the nearest unit.
A) 238 km
B) 298 km
C) 174 km
D) 65 km

202) _____

203) A church steeple casts a shadow 107 ft long, and at the same time a 7.0-ft post cast a shadow 6.0
ft long. How high is the steeple? Round to the nearest unit.
A) 125 ft
B) 108 ft
C) 92 ft
D) 7 ft

203) _____

204) A line from the top of a cliff to the ground passes just over the top of a pole 7.0 ft high and meets
the ground at a point 8.0 ft from the base of the pole. If the point is 96 ft from the base of the cliff,
how high is the cliff? Round to the nearest unit.
A) 6 ft
B) 84 ft
C) 672 ft
D) 5376 ft

204) _____

205) Use the Consumer Price Index figures in the table below to find the amount that would be
charged in 2001 for the same amount of groceries that cost $169.20 in 1995. Give your answer to
the nearest dollar.

2003
1995 2005
1997 2007
1999
2001

Year

Consumer

Pric
152.
160.
166.
177.


205)

_____
A) $146

B) $156

C) $199

D) $197

B) 0.34

C) 0.045

D) 0.45

207) 900%
A) 9

B) 0.9

C) 9.01

D) 90

208) 900%
A) 9.01

B) 9.0

C) 90

D) 0.90

209) 682%
A) 6.82

B) 6.83

C) 68.2

D) 0.682

Convert the percent to a decimal.
206) 45%
A) 4.5

Convert the decimal to a percent.
210) 0.95
A) 95%

206) _____

207) _____

208) _____

209) _____

210) _____
B) 0.095%

C) 950%

D) 9.5%

211) 0.8

A) 0.8%

B) 80%

C) 800%

D) 0.08%

212) 0.375
A) 37.5%

B) 375%

C) 0.0375%

D) 0.375%

213) 0.808
A) 808%

B) 0.808%

C) 0.0808%

D) 80.8%

214) 9.9
A) 99%

B) 990%

C) 0.0099%

D) 0.99%

Solve the problem.
215) What is 20% of 200?
A) 0.4

211) _____

212) _____

213) _____

214) _____

215) _____
B) 4

216) 49% of what number is 65?
A) 1
B) 100

C) 400

D) 40

C) 133

D) 1330

216) _____

217) Students at East Central High School earned $378 selling car washes. They want to make $3440
for a club trip. What percent of their goal has been reached? Round to the nearest tenth of a
percent, if necessary.
A) 91%
B) 9.1%
C) 11%
D) 1.1%

217) _____

218) Thompson's Hardware spent $14,640 this year on health insurance alone. If total sales were
$304,700, what percent of total sales was spent on health insurance? Round to the nearest tenth
of a percent, if necessary.
A) 0.5%
B) 20.8%
C) 4.8%
D) 208%

218) _____

219) The parking lot at a grocery store has 82 cars in it. 50% of the cars are two-toned. How many cars
are two-toned?
A) 16 cars
B) 41 cars
C) 164 cars
D) 410 cars

219) _____


220) The appliance store where the Jordans shop offers a 8% discount for paying cash. The Jordans
received a discount of $72. What was their total bill before the discount? Round to the nearest
dollar.
A) $6
B) $9
C) $900
D) $600

220) _____

221) There are 8290 self-employed persons in a town. If this represents 7% of the total number, what
is the total number? Round to the nearest whole number.
A) 1184
B) 580
C) 118,429
D) 58,000

221) _____

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
222) Which one of the following ratios is not the same as 5 to 6?
222) ____________
(a) 10 to 12
(b) 50 to 60
(c) 6 to 5

(d) 200 to 240
223) Which one of the following ratios is not the same as 4 to 6?
(a) 6 to 4
(b) 2 to 3
(c) 20 to 30
(d) 8 to 12

223) ____________

224) Which one of the following ratios is not the same as .75?
(a) 3 to 4
(b) 8 to 6
(c) .750
(d) 75 to 100

224) ____________

225) Which one of the following ratios is not the same as 1.3?
(a) 13 to 10
(b) 1 to 3
(c) 1.30
(d) 130 to 100

225) ____________

226) Which one of the following ratios is not the same as 4 to 16?
(a) 40 to 160
(b) 0.25
(c) 2 to 8
(d) 4 to 1

226) ____________

227) Which one of the following ratios is not the same as 5 to 2?
(a) 10 to 4
(b) 50 to 20
(c) 25 to 10
(d) 2 to 5

227) ____________

228) Give three ratios that are equivalent to 40 to 45.

228) ____________

229) Explain the distinction between ratio and proportion. Give examples.

229) ____________

230)

230) ____________
Explain why the equation

=

has no solution.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the problem.

231) A retail store had monthly sales of $55,800 and spent 20% of it on advertising. How much was
231) _____
spent on advertising?
A) $11,160
B) $279,000
C) $111,600
D) $27,900
232) An investment broker invests $82,800 in highway bonds and earns 4% per year on the
investment. How much money is earned per year?
A) $2,070,000
B) $207,000
C) $3312
D) $33,120

232) _____


233) The Liberty Mutual Bank pays 4.5% simple interest per year on certificate accounts. What is the
annual income on a certificate account of
A) $36,990
B) $183

233) _____

? Round to the nearest dollar.
C) $1827
D) $3699

234) Students at East Central High School earned $700 selling pennants. They want to make $2060 for
a club trip. What percent of their goal has been reached? Round to the nearest tenth of a percent,

if necessary.
A) 3.4%
B) 34%
C) 29%
D) 2.9%

234) _____

235) Allied Plumbing spent $41,110 this year on advertising alone. If total sales were $586,700, what
percent of total sales was spent on advertising? Round to the nearest tenth of a percent, if
necessary.
A) 14.3%
B) 7%
C) 0.7%
D) 143%

235) _____

236) The parking lot at a shopping mall has 80 cars in it. 80% of the cars are two-toned. How many
cars are two-toned?
A) 100 cars
B) 640 cars
C) 10 cars
D) 64 cars

236) _____

237) The appliance store where the Grants shop offers a 7% discount for paying cash. The Grants
received a discount of $66. What was their total bill before the discount? Round to the nearest
dollar.

A) $943
B) $9
C) $5
D) $500

237) _____

238) There are 8160 under-capitalized retail stores. If this represents 20% of all retail stores, what is
the total number of retail stores? Round to the nearest whole number.
A) 163,200
B) 408
C) 1632
D) 40,800

238) _____

239) A convention manager finds that she has $1200 made up of twenties and fifties. She has a total of
42 bills. How many fifty-dollar bills does the manager have?
A) 12 fifty-dollar bills
B) 42 fifty-dollar bills
C) 8 fifty-dollar bills
D) 30 fifty-dollar bills

239) _____

240) A woman has $1.70 in dimes and nickels. She has 5 more dimes than nickels. How many nickels
does she have?
A) 18 nickels
B) 3 nickels
C) 8 nickels

D) 13 nickels

240) _____

241) A bank teller has some five-dollar bills and some twenty-dollar bills. The teller has 10 more of
the twenties. The total value of the money is $650. Find the number of five-dollar bills that the
teller has.
A) 28 five-dollar bills
B) 38 five-dollar bills
C) 18 five-dollar bills
D) 8 five-dollar bills

241) _____

242) A cashier has a total of 135 bills made up of fives and tens. The total value of the money is $725.
How many ten-dollar bills does the cashier have?
A) 15 ten-dollar bills
B) 10 ten-dollar bills
C) 5 ten-dollar bills
D) 125 ten-dollar bills

242) _____

A survey showed that students had these preferences for instructional materials. Use the graph to answer the
question.


243) About how many students would you expect to prefer computers in a school of 550 students?
A) About 198 students
B) About 99 students

C) About 36 students
D) About 110 students

243) _____

244) About how many students would you expect to prefer lectures in a school of 350 students?
A) About 18 students
B) About 126 students
C) About 70 students
D) About 63 students

244) _____

245) About how many students would you expect to prefer written materials in a school of 350
students?
A) About 63 students
B) About 126 students
C) About 32 students
D) About 9 students

245) _____

246) About how many students would you expect to prefer radio in a school of 950 students?
A) About 5 students
B) About 342 students
C) About 171 students
D) About 48 students

246) _____

247) About how many students would you expect to prefer TV in a school of 400 students?
A) About 48 students
B) About 12 students
C) About 72 students
D) About 80 students

247) _____

248) About how many students would you expect to prefer films in a school of 300 students?
A) About 36 students
B) About 20 students
C) About 54 students
D) About 60 students

248) _____

Solve the problem.
249) It is necessary to have a 40% antifreeze solution in the radiator of a certain car. The radiator now
has 40 liters of 20% solution. How many liters of this should be drained and replaced with 100%
antifreeze to get the desired strength?
A) 16 L
B) 20 L
C) 13.3 L
D) 10 L

249) _____

250) How many liters of a 30% alcohol solution must be mixed with 90 liters of a 90% solution to get a
70% solution?
A) 4.5 L

B) 45 L
C) 135 L
D) 13.5 L

250) _____

251) In a chemistry class, 9 liters of a 4% silver iodide solution must be mixed with a 10% solution to
get a 6% solution. How many liters of the 10% solution are needed?
A) 9.0 L
B) 4.5 L
C) 5.5 L
D) 3.5 L

251) _____

252) A merchant has coffee worth $60 a pound that she wishes to mix with 50 pounds of coffee worth
$90 a pound to get a mixture that can be sold for $70 a pound. How many pounds of the $60
coffee should be used?

252) _____


A) 150 pounds

B) 50 pounds

C) 100 pounds

D) 75 pounds

253) Helen Weller invested $12,000 in an account that pays 3% simple interest. How much additional
money must be invested in an account that pays 6% simple interest so that the average return on
the two investments amounts to 4%?
A) $6000
B) $8000
C) $9000
D) $12,000

253) _____

254) Mardi received an inheritance of $40,000. She invested part at 5% and deposited the remainder
in tax-free bonds at 4%. Her total annual income from the investments was $1900. Find the
amount invested at 5%.
A) $29,000
B) $38,100
C) $30,000
D) $15,000

254) _____

255) Walt made an extra $9000 last year from a part-time job. He invested part of the money at 4%
and the rest at 3%. He made a total of $330 in interest. How much was invested at 3%?
A) $3000
B) $6000
C) $7000
D) $4500

255) _____

256) Roberto invested some money at 5%, and then invested $3000 more than twice this amount at

6%. His total annual income from the two investments was $2730. How much was invested at
6%?
A) $33,000
B) $9000
C) $3300
D) $30,000

256) _____

257) Jay drove 320 kilometers at the average rate of 64 kilometers per hour. How long did the trip
take?
A) 5 hr
B)
C) 4 hr
D) 6 hr

257) _____

hr
258) Janet drove 395 kilometers and the trip took 5 hours. How fast was Janet traveling?
A) 79 km/hr
B) 1975 km/hr
C) 80 km/hr
D)

258) _____
km/hr

259) Jill is 20 kilometers away from Joe. Both begin to walk toward each other at the same time. Jill
walks at 1.5 km/hr. They meet in 5 hours. How fast is Joe walking?

A) 5.5 km/hr
B) 2 km/hr
C) 12.5 km/hr
D) 2.5 km/hr

259) _____

260) From a point on a straight road, two cars are driven in opposite directions, one at 63 miles per
hour and the other at 61 miles per hour. In how many hours will they be 372 miles apart?
A) 3 hours
B) 4 hours
C) Not enough information
D) 2 hours

260) _____

261) From a point on a straight road, John and Fred ride bicycles in opposite directions. John rides 10
miles per hour and Fred rides 13 miles per hour. In how many hours will they be 92 miles apart?
A) 4 hours
B) 3 hours
C) 5 hours
D) Not enough information

261) _____

262) From a point on a river, two boats are driven in opposite directions, one at 9 miles per hour and
the other at 13 miles per hour. In how many hours will they be 66 miles apart?
A) 5 hr
B) 3 hr
C) 1 hr

D) 4 hr

262) _____

263) Derek is four times as old as Sarah. Three years ago the sum of their ages was 24. How old is
each now?
A) Derek: 97 yr old; Sarah: 23 yr old
B) Derek: 24 yr old; Sarah: 97 yr old

263) _____


C) Derek: 96 yr old; Sarah: 24 yr old

D) Derek: 26 yr old; Sarah: 94 yr old

264) A cashier has a total of 124 bills, made up of fives and tens. The total value of the money is $650.
How many ten-dollar bills does the cashier have?
A) 9 ten-dollar bills
B) 118 ten-dollar bills
C) 3 ten-dollar bills
D) 6 ten-dollar bills

264) _____

265) Carla works for $16 an hour. A total of 24% of her salary is deducted for taxes and insurance.
How many hours must she work to take home $2432?
A) 300 hr
B) 180 hr
C) 250 hr

D) 200 hr

265) _____

266) If Gloria received a 7 percent raise and is now making $24,610 a year, what was her salary before
the raise? Round to the nearest dollar if necessary.
A) $23,000
B) $22,887
C) $22,610
D) $24,000

266) _____

267) At the end of the day, a storekeeper had $1236 in the cash register, counting both the sale of
goods and the sales tax of 3%. Find the amount that is the tax. Round to the nearest dollar if
necessary.
A) $27
B) $36
C) $41
D) $37

267) _____

Write an inequality involving the variable x that describes the set of numbers graphed.
268)
A) x < -7

B) x ≥ -7

C) x > -7

268) _____

D) x ≤ -7

269)

269) _____
A) x < -2

B) x ≥ -2

C) x ≤ -2

D) x > -2

270)

270) _____
A) x < -3

B) x > -3

C) x ≥ -3

D) x ≤ -3

271)

271) _____

A) x ≤ 3

B) x > 3

C) x ≥ 3

D) x < 3

272)

272) _____
A) -1 < x ≤ 3

B) -1 < x < 3

C) -1 ≤ x < 3

D) -1 ≤ x ≤ 3

273)

273) _____
A) -3 ≤ x ≤ 1

B) -3 ≤ x < 1

C) -3 < x ≤ 1

D) -3 < x < 1

274)

274) _____
A) 0 ≤ x < 4

B) 0 < x ≤ 4

C) 0 < x < 4

Write each inequality in interval notation and graph the interval on a number line.
275) x > -4

D) 0 ≤ x ≤ 4


275)

____
_

A) [-4, ∞)

B) (-∞, -4]

C) (-∞, -4)

D) (-4, ∞)

276) x < -6

276) _____

A) (-∞, -6]

B) [-6, ∞)

C) (-∞, -6)

D) (-6, ∞)

277) x ≥ 1

A) (1, ∞)

B) (-∞, 1)

C) [1, ∞)

D) (-∞, 1]

278) x ≤ 5

277) _____


278)

____
_

A) (-∞, 5]

B) (5, ∞)

C) [5, ∞)

D) (-∞, 5)

279) -1 ≤ x ≤ 3

279) _____

A) [-1, 3]

B) (-1, 3)

C) (-1, 3]

D) [-1, 3)

280) 3 < x < 7

A) (3, 7)

B) [3, 7)

C) (3, 7]

D) [3, 7]

281) 2 ≤ x < 6

280) _____