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Algebra for Business and Social Science Practice Questions - 787 Verified Questions

Page 1


Algebra for Business and Social Science

Practice Questions

Course Introduction

Algebra for Business and Social Science is a foundational course designed to introduce students to algebraic concepts and techniques that are particularly relevant to real-world applications in business, economics, and the social sciences. The curriculum covers topics such as linear equations and inequalities, matrices, functions and graphs, systems of equations, quadratic equations, and exponential and logarithmic functions. Emphasis is placed on problem-solving and analytical thinking, with practical examples demonstrating how algebra is used for modeling, decision-making, and interpreting data in various professional contexts. The course equips students with the mathematical skills essential for advanced study and career success in business and social science fields.

Recommended Textbook

College Algebra with Applications for Business and Life Sciences 2nd Edition by Ron Larson

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8 Chapters

787 Verified Questions

787 Flashcards

Source URL: https://quizplus.com/study-set/3697

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Chapter 1: Fundamental Concepts of Algebra

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119 Verified Questions

119 Flashcards

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Sample Questions

Q1) Identify the degree and leading coefficient of the polynomial. 5 - 6x<sup>2</sup> + 4x

A) degree: 3 leading coefficient: 4

B) degree: 2 leading coefficient: 6

C) degree: 3 leading coefficient: 6

D) degree: 2 leading coefficient: -6

E) degree: 2 leading coefficient: 5

Answer: D

Q2) Write the number in decimal notation. One milligram equals approximately 3.5 \(\times\) 10<sup>-</sup><sup>5</sup> ounces.

A) 0.000035

B) 0.0035

C) 0.00035

D) -0.000035

E) 3.5

Answer: A

Q3) Write the polynomial in standard form. 9 + 7x<sup>2</sup> + 8x

Answer: 7x<sup>2</sup> + 8x + 9

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Page 3

Chapter 1: Equations and Inequalities

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94 Verified Questions

94 Flashcards

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Sample Questions

Q1) How much water must be added to 8 liters of a 51% saline solution to dilute it to a 36% saline solution? Round answer to nearest tenth of a liter.

A) 3.1 liters

B) 3.3 liters

C) 3.5 liters

D) 3.7 liters

E) 3.9 liters

Answer: B

Q2) One number is 1 more than another number.The sum of their squares is 41.Find the numbers.

A) 4, 5 or -5, -4

B) 3, 4 or -4, -3

C) 9, 10 or -10, -9

D) 2, 3 or -3, -2

E) 7, 8 or -8, -7

Answer: A

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Chapter 2: Functions and Graphs

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97 Flashcards

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Sample Questions

Q1) Which set of ordered pairs represents a function from P to Q? P = {5, 10, 15, 20} Q = {-1, 1, 3}

A) {(5, -1), (10, 1), (10, 3), (15, 1), (20, -1)}

B) {(15, -1), (15, 1), (15, 3)}

C) {(15, 1), (10, -1), (5, 1), (10, 3), (15, -1)}

D) {(10, 1), (15, 3), (20, 1)}

E) {(5, 3), (15, 1), (5, -1), (15, 3)}

Answer: D

Q2) Find the distance between the points.Round to the nearest hundredth, if necessary. (9, 2), (5, 5)

A) 15.65

B) 14.32

C) 5

D) 8.06

E) 7

Answer: C

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Chapter 3: Polynomial and Rational Functions

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105 Verified Questions

105 Flashcards

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Sample Questions

Q1) A farmer wants to enlarge an existing rectangular pig pen such that the total area of the new pen is twice as large as the original pen.The current pen's dimensions are 25' × 27'.The farmer wants to add 13 feet more to the long side than to the the short side.Find the dimensions of the new pen.

A) 5 feet × 18 feet

B) 30 feet × 45 feet

C) 30 feet × 32 feet

D) 30 feet × 43 feet

E) 30 feet × 40 feet

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Chapter 4: Exponential and Logarithmic Functions

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92 Flashcards

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Sample Questions

Q1) Find the balance if $27,000 is invested at an annual rate of 6.5% for 4 years, compounded continuously.

A) $115,253.17

B) $34,020.00

C) $28,798.24

D) $20,818.39

E) $35,017.11

Q2) The half-life of <sup>134</sup>Ba is 28.7 hours.How much of a 18.2 g sample of <sup>134</sup>Ba will be left after 24.00 hours? Round to the nearest hundredth of a gram.

A) 20.39 g

B) 7.65 g

C) 10.19 g

D) 32.49 g

E) 14.15 g

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Chapter 5: Systems of Equations and Inequalities

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94 Flashcards

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Sample Questions

Q1) One acetic acid solution is 60% water and another is 40% water.How many liters of each solution should be mixed to produce 20 liters of a solution that is 49% water?

A) 5 liters of the 60% solution and 15 liters of the 40% solution

B) 9 liters of the 60% solution and 11 liters of the 40% solution

C) 15 liters of the 60% solution and 5 liters of the 40% solution

D) 6 liters of the 60% solution and 14 liters of the 40% solution

E) 14 liters of the 60% solution and 6 liters of the 40% solution

Q2) A total of $50,000 is invested in two funds paying 6.5% and 7.5% simple interest.The total yearly interest is $3600.How much is invested at the 6.5% rate?

A) $28,000

B) $12,000

C) $26,000

D) $15,000

E) $20,000

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8

Chapter 6: Matrices and Determinants

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94 Flashcards

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Sample Questions

Q1) A city zoo borrowed $2,000,000 at simple annual interest to construct a breeding facility.Some of the money was borrowed at 9%, some at 11%, and some at 14%.Use a system of equations to determine how much was borrowed at 9% if the total annual interest was $216,000 and the amount borrowed at 9% was twice the amount borrowed at 14%.Solve the system using matrices.

A) $400,000 was borrowed at 9%

B) $800,000 was borrowed at 9%

C) $300,000 was borrowed at 9%

D) $1,600,000 was borrowed at 9%

E) $1,700,000 was borrowed at 9%

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9

Chapter 7: Sequences, Series, and Probability

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92 Verified Questions

92 Flashcards

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Sample Questions

Q1) A combination lock will open when the right choice of three numbers (from 1 to 36) is selected.How many different lock combinations are possible?

A) 139,968

B) 1296

C) 36

D) 108

E) 46,656

Q2) Find the sum of the integers from 31 to 61.

A) 1891

B) 30

C) 2852

D) 1426

E) 3782

Q3) Evaluate: <sub>9</sub>P<sub>6</sub>

A) 84

B) 504

C) 60,480

D) 54

E) undefined

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