Gibilisco S. Everyday Math Demystified: A Self-Teaching Guide

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94. What is the sum of 2/3 and 4/5?

(a) 6/15

(b) 8/15

(d) 1

(e) 22/15

95. Consider the following equation:

ðx  7Þðx þ 2Þ¼0

What is the real-number solution set for this equation?

(a) 1 (The empty set.)

(b) {7}

(d) {7, 2}

(e) {7, 2}

96. A kilogram (kg) represents 1000 grams, and a microgram (mg) repre-

sents 0.000001 grams. Suppose a sand grain has a mass of 2 mg while

a bag of potatoes has a mass of 2 kg. How many orders of magnitude

more massive is the bag of potatoes than the sand grain?

(a) More information is needed to answer this.

(b) 2

(d) 9

(e) 1,000,000,000

97. Suppose you buy stock in Corporation X on December 31 of a cer-

tain year and then forget all about it. One day in the middle of

January you get a report from the company saying that your stock

has increased in value by $5 a share each year for the past 10

years. Every December 31, the stock has been worth $5 a share

more than it was on December 31 of the previous year. If you

graph the stock price per share based on 11 points (the initial

price, and the price on December 31 for each of the 10 years follow-

ing) and then connect the points with a smooth curve, what will the

curve look like? Assume the horizontal graph scale shows time, and

the vertical scale shows the stock price per share, and both of the

scales are linear.

(a) The curve will be a parabola.

(b) The curve will be a circle.

Final Exam 421

(d) You won’t be able to connect the points with a smooth curve,

because they’ll be scattered all over the place.

(e) More information is necessary to answer this.

98. Let q represent a set of items or objects taken r at a time in a speciﬁc

order. The possible number of permutations in this situation is

symbolized

and can be calculated as follows:

¼ q!=ðq  rÞ!

Now suppose you have a pair of standard 6-faced dice. If you toss

both dice at once, how many diﬀerent permutations of numbers is

it possible to get?

(a) 15

(b) 30

(d) 720

(e) More information is necessary to answer this question.

99. Figure Exam-8 represents

(a) vector addition in 2 dimensions

(b) vector addition in 3 dimensions

(d) scalar addition in 3 dimensions

(e) none of the above

Fig. Exam-8. Illustration for Final Exam Questions 99 and 100.

Final Exam

422

100. In Fig. Exam-8, let each horizontal division represent 10 units, and

let each vertical division represent 5 units. Suppose a ¼ (28,7) and

a þ b ¼ (13,30). What is a+(a þ b)?

(a) 574

(b) 78

(d) (41,37)

(e) More information is needed to answer this question.

Final Exam 423

Answers to Quiz,

Test, and Exam

Questions

Chapter 1

1. c 2. a 3. c 4. c 5. b

6. a 7. b 8. d 9. a 10. b

Chapter 2

1. d 2. d 3. a 4. a 5. c

6. d 7. a 8. b 9. b 10. c

Chapter 3

1. d 2. a 3. c 4. b 5. d

6. a 7. c 8. c 9. d 10. b

424

Chapter 4

1. d 2. b 3. b 4. d 5. d

6. c 7. a 8. c 9. d 10. b

Test: Part 1

1. d 2. b 3. a 4. b 5. c

6. e 7. a 8. b 9. b 10. c

11. b 12. d 13. a 14. e 15. d

16. a 17. b 18. a 19. b 20. c

21. c 22. a 23. c 24. a 25. c

26. a 27. e 28. e 29. a 30. e

31. e 32. c 33. d 34. c 35. e

36. a 37. b 38. b 39. d 40. e

Chapter 5

1. b 2. a 3. c 4. a 5. c

6. d 7. a 8. b 9. a 10. d

Chapter 6

1. a 2. a 3. d 4. d 5. d

6. c 7. c 8. d 9. c 10. b

Chapter 7

1. c 2. a 3. c 4. a 5. b

6. b 7. d 8. a 9. a 10. b

Chapter 8

1. a 2. c 3. d 4. a 5. c

6. a 7. d 8. c 9. b 10. b

Test: Part 2

1. a 2. d 3. c 4. e 5. b

6. a 7. e 8. c 9. b 10. c

11. d 12. d 13. d 14. e 15. c

16. d 17. b 18. c 19. e 20. e

21. b 22. a 23. b 24. c 25. c

26. c 27. d 28. c 29. c 30. b

31. b 32. a 33. e 34. a 35. d

36. a 37. a 38. c 39. a 40. b

Chapter 9

1. c 2. b 3. d 4. c 5. c

6. c 7. c 8. b 9. d 10. a

Answers 425

Chapter 10

1. b 2. a 3. a 4. c 5. a

6. d 7. c 8. a 9. d 10. b

Chapter 11

1. c 2. d 3. c 4. d 5. b

6. b 7. c 8. d 9. b 10. a

Chapter 12

1. a 2. b 3. b 4. a 5. c

6. b 7. d 8. d 9. b 10. d

Test: Part 3

1. a 2. e 3. c 4. c 5. d

6. d 7. b 8. d 9. e 10. c

11. c 12. e 13. c 14. a 15. d

16. e 17. e 18. d 19. d 20. a

21. a 22. e 23. d 24. e 25. c

26. a 27. a 28. c 29. c 30. c

31. a 32. e 33. c 34. a 35. d

36. a 37. d 38. b 39. e 40. c

Chapter 13

1. c 2. a 3. a 4. b 5. b

6. d 7. c 8. d 9. d 10. a

Chapter 14

1. d 2. b 3. c 4. d 5. b

6. b 7. b 8. b 9. a 10. a

Chapter 15

1. d 2. d 3. a 4. d 5. b

6. a 7. a 8. b 9. d 10. a

Test: Part 4

1. b 2. c 3. c 4. b 5. d

6. b 7. e 8. d 9. b 10. d

11. c 12. d 13. d 14. c 15. d

16. c 17. d 18. d 19. b 20. e

21. a 22. b 23. c 24. b 25. c

26. b 27. e 28. a 29. a 30. c

31. b 32. e 33. a 34. c 35. d

36. b 37. d 38. c 39. c 40. a

Answers

426

Final Exam

1. d 2. b 3. a 4. d 5. c

6. a 7. c 8. c 9. a 10. c

11. e 12. c 13. c 14. e 15. d

16. d 17. b 18. e 19. b 20. b

21. a 22. d 23. a 24. d 25. c

26. b 27. b 28. a 29. d 30. c

31. a 32. c 33. a 34. b 35. e

36. c 37. b 38. b 39. d 40. b

41. d 42. d 43. d 44. c 45. e

46. a 47. c 48. d 49. d 50. d

51. e 52. d 53. a 54. e 55. d

56. c 57. d 58. d 59. b 60. a

61. d 62. c 63. b 64. d 65. e

66. a 67. e 68. e 69. a 70. b

71. e 72. c 73. b 74. a 75. c

76. d 77. e 78. a 79. c 80. c

81. c 82. b 83. d 84. a 85. c

86. d 87. b 88. e 89. e 90. d

91. c 92. c 93. c 94. e 95. e

96. d 97. c 98. b 99. a 100. d

Answers 427

Suggest ed Additional

References

Books

Gibilisco, Stan, Geometry Demystiﬁed. McGraw-Hill, New York, NY, 2003.

Gibilisco, Stan, Statistics Demystiﬁed. McGraw-Hill, New York, NY, 2004.

Gibilisco, Stan, Trigonometry Demystiﬁed. McGraw-Hill, New York,

NY, 2003.

Huettenmueller, Rhonda, Algebra Demystiﬁed. McGraw-Hill, New York,

NY, 2003.

Krantz, Steven, Calculus Demystiﬁed. McGraw-Hill, New York, NY, 2003.

Prindle, Anthony and Katie, Math the Easy Way – 3rd Edition. Barron’s

Educational Series, Hauppauge, NY, 1996.

Webber, John, Math for Business and Life – 2nd Edition. Olympus Publishing

Company, Salt Lake City, UT, 2003.

428

Web Sites

Encyclopedia Britannica Online, www.britannica.com

Eric Weisstein’s World of Mathematics, www.mathworld.wolfram.com

Suggested Additional References 429

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