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Test Bank For Mathematical Applications for the Management, Life and Social Sciences 12th Edition by TEST BANK FOR RonaldforHarshbarger and James Reynolds Mathematical Applications the Management, Life and Social Sciences 12th Edition by Ronald J.

Chapter 0-14

Harshbarger, James J. Reynolds Chapter 00: Algebraic Concepts

1. Use

in blank place to indicate whether the given object is an element of the given set.

a. b. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 2. Use

in blank place to indicate whether the given object is an element of the given set.

a. b. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 3. Use

in blank place to indicate whether the given object is an element of the given set.

a. b. ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 4. Use

in blank place to indicate whether the given object is an element of the given set.

a. b. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 5. Write the following set a second way.

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 6. Write the following set a second way.

a. b. c. d. Copyright Cengage Learning. Powered by Cognero.

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e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 7. If

and

, is A a subset of B?

a. yes b. no ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 8. Is

, if

and

a. yes b. no ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 9. Use

notation to indicate which of the sets E and F is a subset of the other. ,

a. b. c. d.

and

ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

b 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 10. Use

notation to indicate all containment relations between the following two sets. ,

a. b. c. d.

and

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 11. Indicate whether the following sets are equal. , a. b. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 12. Indicate whether the following sets are equal. , a. b. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

11/25/2020 7:02 AM

13. If the sets A and B are nonempty and disjoint, what does

equal?

a. b. c. A d. B e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 14. Find

, the intersection of sets A and B. and

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 15. Find

, the intersection of sets A and B. and

a. b. c. d. e. ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 16. Find

, the intersection of sets A and B.

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 17. Find

, the union of sets A and B. and

, the union of sets A and B.

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a. b. c. d.

is a set of natural numbers.

e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 19. Assume that

and that U is the universal set of natural numbers less than 11. Find A'.

and that U is the universal set of natural numbers less than 11.

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

c 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 21. Assume that .

and that U is the universal set of natural numbers less than 11. Find

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 22. Assume that .

and that U is the universal set of natural numbers less than 11. Find

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 23. Assume that Find .

and that U is the universal set of natural numbers less than 11.

a. b. c. Copyright Cengage Learning. Powered by Cognero.

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d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:02 AM DATE MODIFIED: 11/25/2020 7:02 AM 24. Assume that than 11. Find

and that U is the universal set of natural numbers less

if the universal set

. Page 9

, a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 27. Find

if the universal set

, a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 28. Find

if the universal set

, a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

b 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 29. Suppose that a survey of 100 advertisers in U.S. News, These Times, and World found the following. 2 advertised in all three 5 advertised in These Times and U.S. News 22 advertised in World and U.S. News 12 advertised in World and These Times 18 advertised in These Times 32 advertised in U.S. News 35 advertised in World How many advertised in none of these publications? a. 15 b. 85 c. 52 d. 87 e. 0 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 30. Suppose that a survey of 37 advertisers in U.S. News, These Times, and World found the following. 2 advertised in all three 4 advertised in These Times and U.S. News 10 advertised in World and U.S. News 4 advertised in World and These Times 14 advertised in These Times 19 advertised in U.S. News 20 advertised in World How many advertised only in These Times? a. 8 b. 53 c. 14 d. 10 e. 37 ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

a 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 31. Suppose that a survey of 100 advertisers in U.S. News, These Times, and World found the following. 9 advertised in all three 20 advertised in These Times and U.S. News 16 advertised in World and U.S. News 27 advertised in World and These Times 40 advertised in These Times 37 advertised in U.S. News 38 advertised in World How many advertised in U.S. News or These Times? a. 57 b. 115 c. 12 d. 21 e. 23 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 32. In a survey of the dining preferences of 42 dormitory students at the end of the spring semester, the following facts were discovered about Adam's Lunch AL, Pizza Tower PT, and the Dining Hall DH. 14 liked AL but not PT 8 liked AL only 19 liked AL 26 liked PT 21 liked DH 2 liked PT and AL but not DH 13 liked PT and DH How many liked PT or DH? a. 23 b. 26 c. 92 d. 13 e. 34 ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

e 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 33. In a survey of the dining preferences of 58 dormitory students at the end of the spring semester, the following facts were discovered about Adam's Lunch AL, Pizza Tower PT, and the Dining Hall DH. 11 liked AL but not PT 1 liked AL only 15 liked AL 34 liked PT 37 liked DH 1 liked PT and AL but not DH 14 liked PT and DH How many liked all three? a. 36 b. 16 c. 107 d. 3 e. 58 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 34. In a survey of the dining preferences of 78 dormitory students at the end of the spring semester, the following facts were discovered about Adam's Lunch AL, Pizza Tower PT, and the Dining Hall DH. 29 liked AL but not PT 17 liked AL only 41 liked AL 31 liked PT 35 liked DH 10 liked PT and AL but not DH 5 liked PT and DH How many liked only DH? a. 30 b. 18 c. 65 d. 33 e. 35 ANSWER: POINTS: QUESTION TYPE:

b 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 35. Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural.

a. integer b. rational c. rational, integer d. rational, integer, natural e. irrational ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 36. Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural. –1.1432 a. integer b. rational c. rational, integer d. rational, integer, natural e. irrational ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 37. Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural. 1.82 a. integer b. rational Copyright Cengage Learning. Powered by Cognero.

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c. rational, integer d. rational, integer, natural e. irrational ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 38. Indicate whether the given expression is one or more of the following types of numbers: rational, irrational, integer, natural.

a. integer b. rational c. rational, integer d. rational, integer, natural e. irrational ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 39. Which property of the real numbers is illustrated in this equality?

a. additive identity b. multiplicative inverse c. associative d. multiplicative identity e. commutative ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM Copyright Cengage Learning. Powered by Cognero.

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40. Which property of the real numbers is illustrated in this equality?

a. additive identity b. multiplicative inverse c. associative d. multiplicative identity e. commutative ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 41. Which property of the real numbers is illustrated in this equality?

a. additive identity b. multiplicative inverse c. additive inverse d. multiplicative identity e. associative ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 42. Choose the proper

, or

symbol to replace

a. b. c. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED: 43. Choose the proper symbol

11/25/2020 7:03 AM 11/25/2020 7:03 AM ,

, or

to replace

a. b. c. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 44. Choose the proper symbol

, or

to replace

a. b. c. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 45. Choose the proper symbol

, or

to replace

a. Copyright Cengage Learning. Powered by Cognero.

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b. c. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 46. Evaluate the following expression.

a. 3 b. 128 c. 53 d. –72 e. –3 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 47. Evaluate the following expression.

a. 7 b. 19 c. 76 d. 28 e. 67 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 48. Evaluate the following expression. Copyright Cengage Learning. Powered by Cognero.

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a. 18 b. 10 c. 4 d. 9 e. 14 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 49. Evaluate the following expression.

a. –24 b. 12 c. 24 d. –12 e. –3 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 50. Evaluate the following expression.

a. b. c.

Page 19

d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 51. Evaluate the following expression.

a. 68 b. –2 c. 4 d. 34 e. –68 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 52. Evaluate the following expression.

a. –1 b. 7 c. 2 d. –2 e. 3 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/25/2020 7:03 AM 11/25/2020 7:03 AM

53. Choose the interval which corresponds to

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 54. Express the inequality using interval notation.

a. closed interval b. open interval c. half-open interval ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

a 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 56. Express the graph below using interval notation.

a. closed interval interval b. open interval interval c. half-open interval interval ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 58. Choose the inequality that describes the interval below.

a. b. Copyright Cengage Learning. Powered by Cognero.

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c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 59. Choose the inequality that describes the graph below.

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d 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 64. Choose the graph that represents this subset of the real numbers.

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 65. Choose the correct interval notation for this subset of the real numbers.

a. b. Copyright Cengage Learning. Powered by Cognero.

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ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

11/25/2020 7:03 AM

67. Use your calculator to approximate the following expression.

a. 3.92476425 b. 0.25479237 c. 2.54792374 d. 0.02547924 e. 39.2476425 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 68. Use your calculator to approximate the following expression.

Round your answer to eight decimal places. a. 106.17447681 b. 1094.03242650 c. 175.26440141 d. 340.82007056 e. 33.07616100 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 69. Use your calculator to approximate the following expression.

Round your answer to eight decimal places. a. –5610.05475213 b. –9780.50273761 Copyright Cengage Learning. Powered by Cognero.

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c. –280.50273761 d. 4289.94524787 e. 119.49726239 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 70. The approximate percent of average income used to pay federal, state, and local taxes is given by , where is the number of years after 1950. Which -value represents the year 1970? a. 45 b. 20 c. 30 d. 25 e. 35 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 71. The approximate percent of average income used to pay federal, state, and local taxes is given by , where is the number of years after 1950. The actual tax load for 1985 was 34.9%. What does the formula give as an approximation? Round your answer to one decimal place. a. 17.3% b. 36.1% c. 34.6% d. 15.0% e. 33.3% ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 72. The approximate percent of average income used to pay federal, state, and local taxes is given by , where is the number of years after 1950. Approximate the tax load for year 2013. Round your answer to one decimal place. Copyright Cengage Learning. Powered by Cognero.

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a. 53.8% b. 40.5% c. 41.5% d. 52.2% e. 21.9% ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 73. From data adapted from the National Center for Health Statistics, the height in inches and age in years for boys between 4 and 16 years of age are related according to . To account for normal variability among boys, normal height for a given age is of the height obtained from the equation. Find the inequality which represents the normal height range for a boy who is 15.5 years old. Round your answer to two decimal places. a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 74. Based on data adapted from the National Center for Health Statistics, the height in inches and age in years for boys between 4 and 16 years of age are related according to . To account for normal variability among boys, normal height for a given age is of the height obtained from the equation. Find the inequality which represents the normal height range for a boy who is 7.75 years old. Round your answer to two decimal places. a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

a 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 75. Evaluate the expression.

a. –27 b. 27 c. 81 d. 27 e. –81 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 76. Evaluate the expression.

a. 8 b. 16 c. –8 d. –16 e. 4 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 77. Evaluate the expression.

a. b. c. 7 d.

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e. undefined ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 78. Evaluate the expression.

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 79. Use the rules of exponents to simplify the expression.

a. b. c. d. e. ANSWER:

Page 32

POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 80. Use the rules of exponents to simplify the expression.

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82. Use the rules of exponents to simplify the expression.

Page 34

84. Simplify the expression so that it contains only positive exponents

Page 35

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 88. Use the rules of exponents to simplify the expression so that only positive exponents remain.

a. b. c. Copyright Cengage Learning. Powered by Cognero.

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d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 89. Use the rules of exponents to simplify the expression so that only positive exponents remain.

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 90. Use the rules of exponents to simplify the expression so that only positive exponents remain.

a. b. c. d. e. Copyright Cengage Learning. Powered by Cognero.

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ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 91. Use the rules of exponents to simplify the expression.

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

c 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 93. Use the rules of exponents to simplify the expression.

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

d 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 95. Compute and simplify so that only positive exponents remain.

a. b. c. d.

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 96. Compute and simplify so that only positive exponents remain.

a. b. c. d.

e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/25/2020 7:03 AM 11/25/2020 7:03 AM

97. Compute and simplify so that only positive exponents remain.

b. c.

e. ANSWER: POINTS:

e 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 99. Compute and simplify so that only positive exponents remain.

a. b. c.

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ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 101. Compute and simplify so that only positive exponents remain.

a. b. c. d.

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e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 103. Compute and simplify so that only positive exponents remain.

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 104. In many applications, it is often necessary to write expressions in the form integer. Write the expression below in this form.

, where c is a constant and n is an

a. b. c. d.

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, where c is a constant and n is an

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 106. In many applications, it is often necessary to write expressions in the form integer. Write the expression below in this form.

, where c is a constant and n is an

a. b. c. d. e. Copyright Cengage Learning. Powered by Cognero.

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ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 107. In many applications, it is often necessary to write expressions in the form integer. Write the expression below in this form.

, where c is a constant and n is an

a. 594.823 b. –594.823 c. –205.111 d. –1724.988 e. 205.111 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/25/2020 7:03 AM 11/25/2020 7:03 AM

109. Use a calculator to approximate the indicated power. Round your answer to five decimal places.

a. –0.01522 b. 119.42589 c. –65.68424 d. 65.68424 e. 0.01522 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 110. If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by , and the interest earned is . Find S for the given P, n, and i. Round your answer to two decimal places. $2,700 for 7 years at 12% a. $5,968.84 b. $3,268.84 c. $5,329.32 d. $1,103.42 e. $6,685.1 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 111. If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by , and the interest earned is . Find I for the given P, n, and i. Round your answer to two decimal places. $1,700 for 8 years at 8% a. $3,146.58 b. $1,213.5 c. $872.47 Copyright Cengage Learning. Powered by Cognero.

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d. $1,446.58 e. $4,846.58 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 112. If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by , and the interest earned is . Find S for the given P, n, and i. Round your answer to two decimal places. $900 for 20 years at 11.25% a. $6,690.02 b. $8,443.9 c. $6,822.49 d. $8,490.02 e. $7,590.02 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 113. If $P is invested for n years at rate i (as a decimal), compounded annually, the future value that accrues is given by , and the interest earned is . Find I for the given P, n, and i. Round your answer to two decimal places. $850 for 18 years at 11.5% a. $6,030.68 b. $5,180.68 c. $5,874.21 d. $6,880.68 e. $4,558.68 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM Copyright Cengage Learning. Powered by Cognero.

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114. If an investment has a goal (future value) of $S after n years, invested at interest rate i (as a decimal), compounded annually, then the present value P that must be invested is given by . Find P for the given S, n, and i. Round your answer to two decimal places. $12,000 after 9 years at 7.5% a. $5,949.18 b. $6,050.82 c. $6,259 d. $7,233.06 e. $5,741 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 115. If an investment has a goal (future value) of $S after n years, invested at interest rate i (as a decimal), compounded annually, then the present value P that must be invested is given by . Find P for the given S, n, and i. Round your answer to two decimal places. $75,000 after 25 years at 10.5% a. $6,180.23 b. $2,139.62 c. $6,829.15 d. $7,546.21 e. $4,684.22 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM

116. Suppose the number of endangered species y can be approximated by the formula

where

t is the number of years past 1980. How many species does the formula estimate will be added to the endangered species list between 2007 and 2020? Round your answer to the nearest whole number. a. 213 species. b. 208 species. c. 219 species. d. 214 species. e. 207 species. Copyright Cengage Learning. Powered by Cognero.

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ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 117. Assume that the national health care expenditure H (in billions of dollars) can be modeled (that is, accurately approximated) by the formula where t is the number of years past 1960. Approximate the national health expenditure in 1971. Round your answer to the nearest tenth of a billion. a. $77.5 billion b. $64.8 billion c. $70.9 billion d. $70.4 billion e. $77 billion ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 118. Evaluate the following expression if it represents a real number.

a. 27 b. 9 c. –27 d. –9 e. not a real number ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 119. Evaluate the following expression if it represents a real number.

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a. 32 b. 1,048,576 c. –65,536 d. –32 e. not a real number ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 120. Evaluate the following expression if it represents a real number.

a. 8 b. 16 c. 2 d. 1.26 e. 2.52 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 121. Evaluate the following expression if it represents a real number.

a. 0.001 b. 729 c. –0.001 d. 6,561 e. not a real number ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/25/2020 7:03 AM 11/25/2020 7:03 AM

122. Evaluate the following expression if it represents a real number.

a. b. 4 c. d. 2 e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 123. Evaluate the following expression if it represents a real number.

a. 243 b. 2.40822 c. 3486784401 d. 81 e. 3.94822 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 124. Evaluate the following expression if it represents a real number.

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a. b. c. d. e. not a real number ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 125. Evaluate the following expression if it represents a real number.

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a. 9 b. 27 c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 127. Evaluate the following expression if it represents a real number.

a. –81 b. –27 c. d. e. not a real number ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 128. Rewrite the radical with a fractional exponent.

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b. c.

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130. Replace the radical with a fractional exponent. Do not simplify.

d. e.

e. ANSWER: POINTS: QUESTION TYPE:

c 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 132. Write the expression in radical form. Do not simplify.

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

a 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 134. Write the expression in radical form. Do not simplify.

a. b.

d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 135. Use the properties of exponents to simplify the expression so that only positive exponents remain.

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d. e.

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 137. Use the properties of exponents to simplify the expression so that only positive exponents remain.

b. Copyright Cengage Learning. Powered by Cognero.

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ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 138. Use the properties of exponents to simplify the expression so that only positive exponents remain.

e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 139. Use the properties of exponents to simplify the expression so that only positive exponents remain.

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ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 140. Use the properties of exponents to simplify the expression so that only positive exponents remain.

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ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 141. Use the properties of exponents to simplify the expression so that only positive exponents remain.

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 142. Simplify the expression by using the properties of radicals. Assume nonnegative variables.

a. b. c. d. Copyright Cengage Learning. Powered by Cognero.

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e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 143. Simplify the expression by using the properties of radicals. Assume nonnegative variables.

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 144. Simplify the expression by using the properties of radicals. Assume nonnegative variables.

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

b 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 145. Perform the indicated operations and simplify.

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 147. Perform the indicated operations and simplify. Copyright Cengage Learning. Powered by Cognero.

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ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 149. Perform the indicated operations and simplify. Copyright Cengage Learning. Powered by Cognero.

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ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 151. Use the properties of exponents to determine the value for x that makes the equation true.

a. b. –24 c. d. 24 e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 152. Use the properties of exponents and radicals to determine the value for x that makes the equation true.

a. b. 5 c. d. e. 4 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM Copyright Cengage Learning. Powered by Cognero.

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153. Use the properties of exponents and radicals to determine the value for x that makes the equation true.

a. b. 7 c. d. 14 e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 154. Rationalize the denominator and then simplify.

d. e.

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155. Rationalize the denominator and then simplify.

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ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 158. In calculus, it is frequently important to write an expression in the form number. Write the expression in this form.

, where c is a constant and n is a rational

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ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 159. In calculus, it is frequently important to write an expression in the form number. Write the expression in this form.

, where c is a constant and n is a rational

c. d. e.

ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 160. In calculus problems, the answers are frequently expected to be in a simple form with a radical instead of an exponent. Write the expression with radicals. Copyright Cengage Learning. Powered by Cognero.

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a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 161. In calculus problems, the answers are frequently expected to be in a simple form with a radical instead of an exponent. Write the expression with radicals.

a. b. c.

d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/25/2020 7:03 AM 11/25/2020 7:03 AM

162. The Richter scale reading for an earthquake measures its intensity (as a multiple of some minimum intensity used for comparison). The intensity I corresponding to a Richter scale reading R is given by . A quake measuring 6.5 on the Richter scale would be severe. Express the intensity of such a quake in exponential and radical form. a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 163. The Richter scale reading for an earthquake measures its intensity (as a multiple of some minimum intensity used for comparison). The intensity I corresponding to a Richter scale reading R is given by measuring 3.5 rounded to the nearest integer.

. Find the intensity of a quake

a. 3,162 b. 275,855 c. 56 d. 525 e. 7 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 164. The Richter scale reading for an earthquake measures its intensity (as a multiple of some minimum intensity used for comparison). The intensity I corresponding to a Richter scale reading R is given by . An earthquake occurred near San Francisco in 1923 that measured 6.9; another earthquake occurred in 1947 that measured 7.75. Calculate the ratio of these intensities (larger to smaller). Round your answer to six decimal places. a. 0.141254 Copyright Cengage Learning. Powered by Cognero.

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b. 1.123188 c. 13.279704 d. 7.079458 e. 0.010162 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 165. The intensity of sound I (as a multiple of the average minimum threshold of hearing intensity) is related to the decibel level D (or loudness of sound) according to

. Express

using radical notation when

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 166. The intensity of sound I (as a multiple of the average minimum threshold of hearing intensity) is related to the decibel level D (or loudness of sound) according to

. The background noise level of a relatively quiet room has a

decibel reading of 32. Find the intensity I of this noise level. Round your answer to three decimal places. a. 112,589.991 b. 2.054 c. 1,584.893 d. 2.954 e. 41.35 ANSWER: POINTS:

c 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 167. The intensity of sound I (as a multiple of the average minimum threshold of hearing intensity) is related to the decibel level D (or loudness of sound) according to

the intensity of this threshold and

. A decibel reading of 140 is at the threshold of pain. If

is the intensity when

, express the ratio

as a power of 10.

168. Use the fact that the quantity of a radioactive substance after t years is given by

where

a. b.

e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM

is the

original amount of radioactive material and k is its half-life (the number of years it takes for half the radioactive substance to decay). The half-life of strontium-90 is 25 years. Find the amount of strontium-90 remaining after 8 years if your answer to one decimal place. a. 10.7 kg b. 74.5 kg c. 6.6 kg d. 116.1 kg e. 0.4 kg ANSWER:

. Round

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM

169. Use the fact that the quantity of a radioactive substance after t years is given by

, where

is the

original amount of radioactive material and k is its half-life (the number of years it takes for half the radioactive substance to decay). The half-life of carbon-14 is 5,600 years. Find the amount of carbon-14 remaining after 11,500 years if your answer to four decimal places if required.

. Round

a. 24.26 g b. 47.6505 g c. 0.0002 g d. 8.1902 g e. 17 g ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 170. Suppose it has been determined that the sales at Ewing Gallery decline after the end of an advertising campaign, with daily sales given by , where S is in dollars and x is the number of days after the campaign ends. What are the daily sales 4 days after the end of the campaign? a. $1,592 b. $100 c. $800 d. $400 e. $200 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 171. What is the degree of the polynomial below? Copyright Cengage Learning. Powered by Cognero.

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a. 5 b. 11 c. 6 d. 1 e. 30 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 172. What is the coefficient of the highest-degree term in the polynomial below?

a. 9 b. –5 c. 7 d. 5 e. –9 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 173. What is the constant term in the polynomial below?

a. 8 b. –7 c. 7 d. 6 e. –6 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/25/2020 7:03 AM 11/25/2020 7:03 AM

174. Determine whether the following expression is a polynomial of one variable.

a. yes b. no ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 175. What is the degree of the polynomial below?

a. 4 b. 5 c. 9 d. 2 e. 11 ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 176. What is the coefficient of the highest-degree term in the polynomial below?

a. 8 b. 9 c. –7 d. 6 e. 2 ANSWER: POINTS: QUESTION TYPE: HAS VARIABLES:

b 1 Multi-Mode (Multiple choice) True

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STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 177. What is the constant term in the polynomial below?

a. 0 b. 6 c. 9 d. –5 e. 2 ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 178. Determine whether the following expression is a polynomial of one variable.

a. yes b. no ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 179. A polynomial is an expression of form For the polynomial a. 0 b. 6 c. 2 d. 5 e. 4 ANSWER: POINTS: QUESTION TYPE:

what is

, where

is a positive integer.

b 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 180. A polynomial is an expression of form For the polynomial

what is

, where

is a positive integer.

, where

is a positive integer.

, where

is a positive integer.

a. 0 b. 8 c. –12 d. –9 e. 3 ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 181. A polynomial is an expression of form For the polynomial

what is

a. 0 b. 2 c. –15 d. –9 e. 4 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 182. A polynomial is an expression of form For the polynomial

what is

a. 0 b. 13 c. –8 d. –12 e. 3 Copyright Cengage Learning. Powered by Cognero.

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and

a. –16 b. 0 c. –8 d. –2 e. –4 ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 184. Evaluate the algebraic expression at the indicated value of the variable. at a. 20 b. c. 5 d. –20 e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM

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185. Evaluate

when

. Round your answer to four decimal places.

a. 91.6118 b. 10,963.4872 c. 1,526.8625 d. 657.8092 e. 182,724.7861 ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 186. Simplify by combining like terms.

a. b. c. d. e. Copyright Cengage Learning. Powered by Cognero.

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a. 0 b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 190. Simplify by combining like terms. Copyright Cengage Learning. Powered by Cognero.

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a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 192. Perform the indicated operations and simplify.

a. b.

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d. e.

a. b. c. d. e. ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 195. Perform the indicated operations and simplify.

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 196. Perform the indicated operations and simplify.

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a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 198. Perform the indicated operations and simplify.

a. b. c.

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d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 200. Perform the indicated operations and simplify.

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 201. Perform the indicated operations and simplify.

a. b. c. d. e.

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204. Perform the indicated operations and simplify.

a. b. c. Copyright Cengage Learning. Powered by Cognero.

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a. b.

c. d.

a. b.

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e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 209. Perform the indicated operations and simplify.

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

b 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 211. Perform the indicated operations and simplify.

a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

d 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 213. Perform the indicated operations with expressions involving fractional exponents and then simplify.

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215. Perform the indicated operations with expressions involving fractional exponents and then simplify.

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 216. Perform the indicated operations with expressions involving fractional exponents and then simplify.

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 217. Perform the indicated operations with expressions involving fractional exponents and then simplify.

a. b. c. Copyright Cengage Learning. Powered by Cognero.

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a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 219. Suppose a company’s revenue (in dollars) from the sale of units of its product is given by . Suppose further that the total costs (in dollars) of producing those units is given by . If profit is revenue minus cost, find the expression for the profit from the production and sale of units. a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM Copyright Cengage Learning. Powered by Cognero.

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DATE MODIFIED:

11/25/2020 7:03 AM

220. Cell Pro makes cell phones and has total weekly costs of $1,500 for rent, utilities, and equipment, in addition to labor and material costs of $18.50 for each phone it makes. If

represents the number of phones produced and sold, choose the expression for Cell Pro’s weekly costs. a. b. c. d.

e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 221. Cell Pro makes cell phones and has total weekly costs of $1,000 for rent, utilities, and equipment, in addition to labor and material costs of $17.25 for each phone it makes. Assume that Cell Pro sells the phones to dealers for $45.50 each. Choose the expression for the weekly total revenue for the phones, where is the number of phones made and sold each week. a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 222. Cell Pro makes cell phones and has total weekly costs of $1500 for rent, utilities, and equipment, in addition to labor and material costs of $17.75 for each phone it makes. Cell Pro’s weekly profit is the total revenue minus the total cost. Choose the expression for Cell Pro’s weekly profit if each phone sells for $37.50, where is the number of phones made and sold each week. a. b. Copyright Cengage Learning. Powered by Cognero.

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c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 223. Suppose that you have $7,000 to invest, and you invest x dollars at 10% and the remainder at 8%. Choose the expression that represents the amount invested at 8%. a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 224. Suppose that you have $6,000 to invest, and you invest x dollars at 10% and the remainder at 8%. Choose the expression that represents the invested earned on the money invested at 8%. a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 225. Suppose that a nurse needs 15 cc (cubic centimeters) of a 15.5% solution (that is, a solution that is 15.5% ingredient) of a certain medication, which must be obtained by mixing cc of a 20% solution and cc of a 5% solution. Choose the Copyright Cengage Learning. Powered by Cognero.

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expression for

in terms of .

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 226. Suppose that a nurse needs 35 cc (cubic centimeters) of a 15.5% solution (that is, a solution that is 15.5% ingredient) of a certain medication, which must be obtained by mixing cc of a 20% solution and cc of a 5% solution. Choose the expression for the amount of ingredient in the 5% solution. a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 227. Suppose that a nurse needs 15 cc (cubic centimeters) of a 15.5% solution (that is, a solution that is 15.5% ingredient) of a certain medication, which must be obtained by mixing cc of a 20% solution and cc of a 5% solution. Express the total amount of the ingredient in the mixture in terms of . a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

d 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 228. Factor by finding the common monomial factor.

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a. b. c. d. e. ANSWER:

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POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 233. Factor by grouping.

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 235. Factor the expression as a product of binomials. Copyright Cengage Learning. Powered by Cognero.

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a. b. c. d. e. ANSWER: POINTS: QUESTION TYPE:

a 1 Multi-Mode (Multiple choice)

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HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 238. Factor the expression as a product of binomials.

a. Copyright Cengage Learning. Powered by Cognero.

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b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 241. Factor the expression as a product of binomials.

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/25/2020 7:03 AM 11/25/2020 7:03 AM

243. Factor the expression completely.

a. Copyright Cengage Learning. Powered by Cognero.

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b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 246. Factor the expression completely.

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/25/2020 7:03 AM 11/25/2020 7:03 AM

248. Factor the expression completely.

a. b. c. Copyright Cengage Learning. Powered by Cognero.

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253. Factor the expression completely.

a. b. c.

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a. b.

c. d. e.

ANSWER: POINTS:

a 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 260. Use the following factorization formulas involving cubes to factor the polynomial below. Factorizations with Cubes Perfect cube

Perfect cube

Difference of two cubes

Sum of two cubes

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 261. Use the following factorization formulas involving cubes to factor the polynomial below. Factorizations with Cubes Perfect cube

Perfect cube

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Difference of two cubes

Sum of two cubes

a. b. c. d. e. ANSWER: b POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 262. Use the following factorization formulas involving cubes to factor the polynomial below. Factorizations with Cubes Perfect cube

Perfect cube

Difference of two cubes

Sum of two cubes

a. b. c. d.

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Perfect cube

Difference of two cubes

Sum of two cubes

a. b. c. d. e. ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 264. The future value of a simple-interest investment of N dollars at an annual interest rate for t years is given by the expression . Factor this expression. a. b. Copyright Cengage Learning. Powered by Cognero.

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c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 265. When medicine is administered, the reaction (measured in change of blood pressure or temperature) can be modeled by (that is, described by)

, where

is a positive constant and

is the amount of medicine absorbed into

the blood. Factor the expression for the reaction. a. b.

c. d. e.

ANSWER: d POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 266. Suppose that squares of size x are cut from four corners of an 6-by-6-inch piece of cardboard and an open-top box is formed. The volume of the box is given by

. Factor this expression.

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for a commodity is the product of its market price

and the number of units demanded

. Suppose that for a certain commodity, the consumer expenditure is given by find an expression for the number of units demanded .

. Factor this in order to

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at a distance x from the artery wall is given by

. Factor and simplify this expression. a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 270. Simplify the fraction.

a. b.

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b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 273. Simplify the fraction.

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276. Perform the indicated operations and simplify.

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a. b.

c. d.

ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 279. Express the following expression as a single fraction with no common factors in the numerator and denominator.

a. b.

d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/25/2020 7:03 AM 11/25/2020 7:03 AM

280. Perform the indicated operations and simplify.

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282. Perform the indicated operations and simplify.

a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 283. Perform the indicated operations and simplify.

a. b. c. d. e. ANSWER: a POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/25/2020 7:03 AM 11/25/2020 7:03 AM

284. Perform the indicated operations and simplify.

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/25/2020 7:03 AM 11/25/2020 7:03 AM

286. Perform the indicated operations and simplify.

ANSWER: POINTS:

d 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 288. Perform the indicated operations and simplify.

b. c. d. e.

ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 289. Perform the indicated operations and simplify.

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ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 290. Perform the indicated operations and simplify.

Page 129

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a. b. c. d. e. ANSWER: e POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 295. Simplify the complex fraction. Copyright Cengage Learning. Powered by Cognero.

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a. b. c. d.

b. c. d. e.

ANSWER: POINTS:

d 1

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QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic DATE CREATED: 11/25/2020 7:03 AM DATE MODIFIED: 11/25/2020 7:03 AM 297. Rewrite the following so that only the positive exponents remain, and then simplify.

a. b. c. d. e. ANSWER: c POINTS: 1 QUESTION TYPE: Multi-Mode (Multiple choice) HAS VARIABLES: True STUDENT ENTRY MODE: Basic Copyright Cengage Learning. Powered by Cognero.

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DATE CREATED: DATE MODIFIED:

11/25/2020 7:03 AM 11/25/2020 7:03 AM

299. Rewrite the following so that only the positive exponents remain, and then simplify.

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