Contemporary Mathematics for Business and Consumers 6e Robert Brechner George Bergeman - Test Bank

Contemporary Mathematics for Business and Consumers 6e Robert Brechner George Bergeman – Test Bank

 

Instant Download – Complete Test Bank With Answers

 

 

Sample Questions Are Posted Below

 

1. A(n)  is a mathematical statement describing a real-world situation in which letters represent number quantities.

ANSWER:  formula

 

2.                                       are mathematical statements expressing a relationship of equality.

ANSWER:  Equations

 

3. Letters of the alphabet used to represent unknown quantities in equations are called .

ANSWER:  variables

 

4. To solve an equation means to find the numerical value of the  that makes the equation true.

ANSWER:  unknown

 

5. The numerical value of the variable that makes an equation true is known as the solution, or ____________________ of the equation.

ANSWER:  root

 

6. The number or quantity placed before another quantity indicating  is called a coefficient.

ANSWER:  multiplication

 

7. To  means to transfer a term from one side of an equation to the other.

ANSWER:  transpose

 

8. When solving equations with multiple grouping symbols, always start with the  symbols and work to the ____________________.

ANSWER:  innermost, outside

 

9. A(n)  is a fraction that describes a comparison of two numbers or quantities.

ANSWER:  ratio

 

10. A(n)  is a statement showing that two ratios are equal.

ANSWER:  proportion

11. Solve the equation:

 

1. 5
2. 45
3. 75
4. −75

ANSWER:  c

12. Solve the equation: 8(7a + 2) = 128
    1. 1
    2. 2
    3. 5
    4. 4

 

ANSWER:  b

 

13. Solve the equation: 5x + 5 + 7x = 47 + 5x
    1. 2
    2. 4
    3. 5
    4. 6

 

ANSWER:  d

 

14. Solve the equation: 7a + 53 = 74
    1. 3
    2. 5
    3. 7
    4. 9

 

ANSWER:  a

 

15. Solve the equation: 8(9a + 9) = 864
    1. 1
    2. 9
    3. 11
    4. 13

 

ANSWER:  c

 

16. Solve the equation: 8n − 2 + 4n = 66 − 5n
    1. 4
    2. 5
    3. 12
    4. 17

 

ANSWER:  a

 

17. Solve the equation: 4x + 49 = 105
    1. 14
    2. 224
    3. 5
    4. 616

 

ANSWER:  a

18. Solve the equation:

 

1. 180
2. 2.22
3. 18
4. 11

 

ANSWER:  a

19. Solve the equation:

 

1. 1
2. 8.75
3. 15.25
4. 4

 

ANSWER:  a

20. Solve the equation:

 

1. 4
2. 5
3. 12
4. 8.25

 

ANSWER:  a

 

21. Translate into an equation: A number divided by 212 equals 53 (let the number be represented by N).

 

a.
b.
c.
d.

 

ANSWER:  b

 

 

 

22. Translate into an equation: A number divided by 26 is 52 (let the number be represented by T).

a.

 

b.

 

 

c.

 

 

d.

 

ANSWER:  b

 

23. Translate into an equation: 11 times the difference of P and 29 gives 759.
24. 759(P − 29) = 11
25. 29(P − 759) = 11
26. 11(P − 29) = 759
27. 11(P + 29) = 759

 

ANSWER:  c

 

24. Translate into an equation: The cost of V ounces at $4 per ounce is $196.
25. 4V = 196
26. 4 + V = 196
27. V − 4 = 196
28. 196V = 4

ANSWER:  a

 

25. Translate into an equation: A number divided by 47 equals 55 (let the number be represented by K).

 

a.
b.
c.
d.

 

ANSWER:  c

 

 

 

26. Translate into an equation: A number increased by 19 equals 77 (let the number be represented by k ).
27. k − 77 = 19
28. k − 19 = 77
29. k + 19 = 77
30. k × 19 = 77

 

ANSWER:  c

 

27. Translate the following into an equation: A number multiplied by 19 is 342 (let the number be represented by the letter V).

a.

 

1. 342V = 19

 

c.

 

1. 19V = 342

 

ANSWER:  d

 

28. Translate the following into an equation: The sum of T and 45 is 48.
29. T + 45 = 48
30. 45T = 48
31. 48 − T = 45

 

d.

 

ANSWER:  a

 

29. Quinzel and Joseph sell shoes. Last month Quinzel sold 18 less pairs of shoes than Joseph. Together they sold 52 pairs. How many pairs of shoes did Quinzel sell?
    1. 90
    2. 26
    3. 35
    4. 17

 

ANSWER:  d

 

30. Luis and Berto sell TVs. Last month Berto sold 15 more TVs than Luis. Together they sold 163. How many TVs did Luis sell?
    1. 56
    2. 74
    3. 89
    4. 128

ANSWER:  b

 

31. Last month a store sold 4 times as many tapes as CDs. If the total quantity of these two items sold was 360, how many tapes did the store sell?
32. 288
33. 360
34. 90
35. 20

 

ANSWER:  a

 

32. Salim sells fax machines that come in Standard and Enhanced models. The Standard model sells for $325 and the Enhanced model sells for $385. If Salim sold a total of 35 units and took in $12,575, how many of the Enhanced model did he sell?
    1. 15
    2. 20
    3. 25
    4. 10

 

ANSWER:  b

 

33. George and Lee Sung sell stereos. Last month George sold 19 more stereos than Lee Sung. Together they sold 153. How many stereos did Lee Sung sell?
34. 83
35. 79
36. 67
37. 91

 

ANSWER:  c

 

34. Mira and Marie sell computers. Last month Mira sold 16 more computers than Marie. Together they sold 56. How many computers did Marie sell?
    1. 20
    2. 36
    3. 16
    4. 40

 

ANSWER:  a

 

35. Essie and Ruby sell Blu-Ray players. Last month Essie sold 35 less Blu-Ray players than Ruby. Together they sold 145. How many Blu-Ray players did Essie sell?
36. 90
37. 30
38. 55
39. 105

ANSWER:  c

 

 

 

36. Employees at Standard Storage are in the ratio of 2 women to 7 men. If there are 490 men employed, how many women are employed there?
37. 140
38. 121
39. 95
40. 110

ANSWER:  a

 

37. If a car can travel 504 miles on 21 gallons of fuel, how many gallons are required to travel 1,152 miles?
38. 27,648
39. 9.1875
40. 89
41. 48

 

ANSWER:  d

 

38. If Samantha earns $225.00 for 6.25 hours of work, how many must he work to earn $918.00?
39. 47.625
40. 25
41. 5
42. 32.15

 

ANSWER:  c

 

39. An architect uses a scale of 0.5 inch to represent 1 foot on a blueprint. If the west wall of a building is 27 feet long, how long will the line be on the blueprint?
    1. 54 inches
    2. 5 inches
    3. 27 inches
    4. 9 inches

 

ANSWER:  b

 

40. If Benito earns $187.50 for 12.5 hours of work, how many hours must he work to earn $465.00?
    1. 87
    2. 41
    3. 31
    4. 35

 

ANSWER:  c

 

 

 

41. If a car can travel 250 miles on 10 gallons of fuel, how many gallons are required to travel 1,325 miles?
    1. 43
    2. 53
    3. 250
    4. 530

ANSWER:  b

 

42. If Argyl earns $93.00 for 7.75 hours of work, how many must he work to earn $571.50?
43. 47.625
44. 51.25
45. 55
46. 42.15

 

ANSWER:  a

 

43. Boyd’s car can travel 1891.5 miles on 48.5 gallons of fuel. How many miles can it travel on 64 gallons?
44. 1861
45. 2,107
46. 2,496
47. 2,722

 

ANSWER:  c

 

44. Solve the equation: 3y + 18 = 135
    1. 51
    2. 39
    3. 5
    4. 616

ANSWER:  b

 

45. If Jillian earns $324 for 16 hours of work, how many hours must she work to earn $486.00?
    1. 77
    2. 24
    3. 31
    4. 25

 

ANSWER:  b

 

46. Solve the equation for the unknown: 12(5Q + 20) = 480

ANSWER:  4

 

47. Solve the equation for the unknown: 2B + 28 = 82

ANSWER:  27

48. Solve the equation for the unknown: C − 16 = 48

ANSWER:  64

 

49. Solve the equation for the unknown: K + 98 = 602

ANSWER:  504

 

50. Solve the equation for the unknown and round to the nearest hundredth: 3C − 62 = 50

ANSWER:  37.33

 

51. Solve the equation for the unknown: 18G = 126

ANSWER:  7

52. Solve the equation for the unknown:

 

ANSWER:  296

 

53. Solve the equation for the unknown: 20.5T = 180

ANSWER:  8.78

54. Solve the equation for the unknown:

 

ANSWER:  101.5

 

55. Solve the equation for the unknown: 5L + 6 = 71

ANSWER:  13

56. Solve the equation for the unknown:

 

ANSWER:  80

 

57. Solve the equation for the unknown: 24N − 215 = 133

ANSWER:  14.5

58. Solve the equation for the unknown:

 

ANSWER:  22

 

59. Solve the equation for the unknown: 6(3R + 9) = 108

ANSWER:  3

 

60. Solve the equation for the unknown: 3(2S − 6) = 9

ANSWER:  4.5

 

 

 

61. Solve the equation for the unknown: T + 14 = 34 − 3T

ANSWER:  5

 

62. Solve the equation for the unknown: 15X + 8 − X = 4(2X + 20)

ANSWER:  12

 

63. Underline the key word(s) and translate into an expression: 6 times A divided by C

ANSWER:  6 times A divided by C

 

 

64. Underline the key word(s) and translate into an expression: the sum of twice B and 8

ANSWER:  the sum of twice B and 8

2B + 8

 

65. Underline the key word(s) and translate into an expression: 6 less than half of R

ANSWER:  6 less than half of R

 

 

66. Underline the key word(s) and translate into an expression: the product of A and B plus $162 more

ANSWER:  the product of A and B plus $162 more

AB + 162

 

67. Underline the key word(s) and translate into an expression: the difference of F and 23

ANSWER:  the difference of F and 23

F − 23

 

68. Underline the key word(s) and translate into an expression: R times S times 192

ANSWER:  R times S times 192

192RS

69. Underline the key word(s) and translate into an expression: the difference of 4G and 12

ANSWER:  the difference of 4G and 12

4G − 12

 

70. Underline the key word(s) and translate into an expression: 36 more than of X

 

ANSWER:  36 more than      of X

 

 

 

 

 

 

71. Underline the key word(s) and translate into an equation: a number increased by 12 is 804

ANSWER:  a number increased by 12 is 804

X + 12 = 804

 

72. Underline the key word(s) and translate into an equation: a number totals 8 times the sum of R and S

ANSWER:  a number totals 8 times the sum of R and S

X = 8(R + S)

 

73. Underline the key word(s) and translate into an equation: 12 less than 6B leaves 36

ANSWER:  12 less than 6B leaves 36

6B − 12 = 36

 

74. Underline the key word(s) and translate into an equation: the cost of A at $12.50 each is $225.00

ANSWER:  the cost of A at $12.50 each is $225.00

$12.50A = $225.00

 

75. Underline the key word(s) and translate into an equation: sales is the product of price and quantity

ANSWER:  sales is the product of price and quantity

S = PQ

 

76. Underline the key word(s) and translate into an equation: 6 more than 5 times a number, plus 3 times that number, is 30

ANSWER:  6 more than 5 times a number, plus 3 times that number, is 30

                      5N + 6 + 3N = 30

77. Underline the key word(s) and translate into an equation: A number divided by 49 makes 86 (let the number be represented by k )

ANSWER:  A number divided by 49 makes 86

 

 

78. Solve the proportion for X:

 

ANSWER:  280

79. Solve the proportion for X:

 

ANSWER:  16.24

 

80. An accounting firm has 24 partners. Twelve partners are senior partners and twelve are junior partners. The senior partners receive twice as much as the junior partners. A net income of $22,600,000 is earned for the year. How much will each junior partner receive?

ANSWER:  $627,777.78

81. of the vehicles in the parking lot are cars. The rest are vans and trucks. If there are 780 cars in the lot, how many total vehicles are in the lot?

ANSWER:  1,248 total vehicles

 

82. An electronics store sells seven times as many printers as fax machines. If sales for the month totaled 1,600 pieces, how many printers were sold?

ANSWER:  1,400 printers

 

83. Georgia produces 40 more than 3 times what Harriet can produce in one day. If Georgia’s total production for the day is 160, how much does Harriet produce in one day?

ANSWER:  40

 

84. A new machine can produce three more than twice the production per hour of the old machine. If the new machine can produce 187 units per hour, how many did the old machine produce?

ANSWER:  92 units

 

85. Chen and Joel invested $60,000 in a business. If Chen invested five times as much as Joel, how much did Chen invest?

ANSWER:  $50,000

 

86. A mountain bike costs $86 more than twice the cost of a street bike. If together they cost $518, what is the cost of the mountain bike?

ANSWER:  $374

 

87. If the interest on a $6,500 loan is $520, what would be the interest on a loan of $10,000?

ANSWER:  $800

 

88. At the Da Vinci Institute, the ratio of girls to boys is 6 to 4. If 420 boys attend the school, how many are girls?

ANSWER:  630 girls

 

89. On Valentine’s Day, the flower vendor took in $334 less on rose bush sales than on tulip sales. If the total sales for the day were $818, what were the sales for each flower?

 

1. Roses ____________
2. Tulips ____________

ANSWER:   a.    $242 for Roses

1. $576 for Tulips

 

90. If an assembler can package 18 toasters every hour and a half, how many toasters can he assemble in hours?

 

 

ANSWER:  102 toasters

 

 

91. Atlantis Printing spends of its revenue on liability insurance expenses. Last week’s liability insurance payment was $1,500. What was the amount of revenue for the week?

ANSWER:  $750,000

 

92. 14,490 votes were cast at a recent election. If the votes cast for Candidate A were 6 times the votes cast for Candidate B, how many votes did each candidate receive?

 

1. Candidate A ___________
2. Candidate B ___________

 

ANSWER:  a.     12,420 votes for Candidate A

1. 2,070 votes for Candidate B

 

93. Kate and Allie sell stereos. Last month Kate sold 14 more stereos than Allie. Together they sold 92. How many stereos did Allie sell?

ANSWER:  39 stereos

 

94. Script’s Book Store sold 864 items last week. They sold twice as many magazines as paperback books, and five times as many paperback books as hardbound books. How many of each product was sold?

 

1. Magazines ____________
2. Paperbacks ____________
3. Hardbound ____________

ANSWER:  a.     540 Magazines

1. 270 Paperbacks
2. 54 Hardbound

 

95. Paul’s Record Shop sells old CDs for $7 each and cassettes for $2 each. Today they sold a total of 1,400 CDs and cassettes and took in $8,100.

 

1. How many CD’s were sold?
2. What was the total dollar sales of cassettes?

 

ANSWER:  a.    1060 CDs

1. $680

 

96. Sales of outfield seats were 188 less than three-fourths of the total seats. If the sports team sold 3,862 seats in the outfield, how many total seats were sold?

ANSWER:  5,400 total seats

 

97. A plumbing supply store sells four times as many gas stoves as wood burning stoves. If sales for the month of both types totaled 65 stoves, how many gas stoves were sold?

ANSWER:  52 gas stoves

 

 

 

98. Solomon’s Shoe Store sells women’s shoes for $54 a pair and men’s shoes for $85 a pair. Last week the store sold four times as many women’s shoes as men’s. Total sales were $6,321.

 

1. How many pairs of women’s shoes were sold?
2. What was the total price of the men’s shoe sales?

 

ANSWER:  a.    84 pairs

1. $1,785

 

99. If you can purchase 6 roses for $21, how many roses can you purchase for $87.50?

ANSWER:  25 roses

 

100. Janet is 3 times as old as her brother Marshall. If the difference in their ages is 6 years, what is the age of each?

 

1. Janet _______
2. Marshall             

 

ANSWER:  a.     Janet is 9 years old

1. Marshall is 3 years old

 

101. A recipe calls for 2 eggs for every ounces of milk. If you increase the milk to ounces, how many eggs will you use?

ANSWER:  14 eggs

 

102. If a motorcycle can travel 726 miles on 22 gallons of fuel, how many gallons are required to travel 1,452 miles?

ANSWER:  44 gallons of fuel

 

103. An estate valued at $510,000 is to be distributed among the wife, 2 children, and 3 grandchildren. The children will each receive two times as much as each grandchild, and the wife will receive five times as much as each child. How much will each person receive?

 

1. Wife _______________
2. Child _______________
3. Grandchild                   

 

ANSWER:  a.     Wife − $300,000

1. Child − $60,000
2. Grandchild − $30,000

 

104. A team of five players split a bonus as follows: player one, two, three and four equally. Player five had a share that was twice as much as each individual share of the other players. If the team bonus was $75,000 how much did player five receive?

ANSWER:  $25,000

 

105. Lance produces 20 more than 4 times what Jacob can produce in one day. If Lance’s total production for the day is 360, how much does Jacob produce in one day?

ANSWER:  85