Algebra for Business
Textbook Exam Questions
Course Introduction
Algebra for Business introduces students to fundamental algebraic concepts and their applications in business and economics. The course covers topics such as linear equations, inequalities, functions, systems of equations, quadratic equations, and exponential models. Emphasis is placed on developing problem-solving skills to analyze and interpret real-world business scenarios, including profit analysis, cost-revenue modeling, breakeven points, and forecasting. By the end of the course, students will be able to apply algebraic reasoning to make informed business decisions and to communicate quantitative information effectively.
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
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Chapter 1: Fundamental Concepts of Algebra
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119 Flashcards
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Sample Questions
Q1) Factor the trinomial. 9m<sup>2</sup> + 9m + 2
A) (9m - 2)(m - 1)
B) (9m + 2)(m + 1)
C) (3m - 2)(3m + 1)
D) (3m - 2)(3m - 1)
E) (3m + 2)(3m + 1)
Answer: E
Q2) Factor the perfect square trinomial. 25s<sup>2</sup> + 20s + 4
A) (5s - 2)(5s + 2)
B) (25s - 2)(s + 2)
C) (-5s + 2)<sup>2</sup>
D) (5s + 2)<sup>2</sup>
E) (5s - 2)<sup>2</sup>
Answer: D
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 Flashcards
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Sample Questions
Q1) Suppose a lunch consisting of a large hamburger, large fries and large soft drink at a fast food chain contains 1380 calories.A lunch consisting of a small hamburger, small fries and a small soft drink at the same fast food chain contains 880 calories.Find the percent change in calories from the smaller to the larger lunch.Round to the nearest hundredth of a percent.
A) 56.82% increase
B) 63.77% decrease
C) 63.77% increase
D) 36.23% increase
E) 56.82% decrease
Answer: A
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) After opening the parachute, the descent of a parachutist follows a linear model.At 7:28 P.M., the height of the parachutist is 6150 feet.At 7:31 P.M., the height is 3450 feet.Use a linear equation that gives the height of the parachutist in terms of the time to find the time when the parachutist will reach the ground.
A) 7:33:30 P.M.
B) 7:34:50 P.M.
C) 7:32:00 P.M.
D) 7:37:30 P.M.
E) 7:31:00 P.M.
Answer: B
Q2) Find the slope and y-intercept of the equation of the line. -y - 8x = -2
A) slope: 8; y-intercept: -2
B) slope: -2; y-intercept: 8
C) slope: 8; y-intercept: -1
D) slope: 2; y-intercept: -8
E) slope: -8; y-intercept: 2
Answer: E
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Page 5
Chapter 3: Polynomial and Rational Functions
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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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Sample Questions
Q1) What is the half-life of a radioactive substance if 2.9 g decays to 1.80 g in 64 hours? Round to the nearest tenth of an hour.
A) 93.0 hours
B) 69.8 hours
C) 46.5 hours
D) 23.3 hours
E) 13.8 hours
Q2) Estimate the percentage of radioactive material that remains in a sample after 5 years if the half-life of the material is 299 days.Round to the nearest hundredth of a percent.
A) 0.37%
B) 15.92%
C) 1.45%
D) 8.19%
E) 0.85%
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Chapter 5: Systems of Equations and Inequalities
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Sample Questions
Q1) A humanitarian agency can use two models of vehicles for a refugee rescue mission.Each model A vehicle costs $1000 and each model B vehicle costs $1500.Mission strategies and objectives indicate the following constraints. A total of at least 20 vehicles must be used.
A model A vehicle can hold 45 boxes of supplies.A model B vehicle can hold 30 boxes of supplies.The agency must deliver at least 690 boxes of supplies to the refugee camp. A model A vehicle can hold 20 refugees.A model B vehicle can hold 32 refugees.The agency must rescue at least 520 refugees. What is the optimal number of vehicles of each model that should be used? What is the optimal cost?
A) A minimum cost of $27,000 occurs when 6 vehicles of each model are used.
B) A minimum cost of $27,000 occurs when 14 vehicles of each model are used.
C) A minimum cost of $34,500 occurs when 23 vehicles of each model are used.
D) A minimum cost of $26,000 occurs when 26 vehicles of each model are used.
E) A minimum cost of $25,000 occurs when 10 vehicles of each model are used.
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8
Chapter 6: Matrices and Determinants
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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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Chapter 7: Sequences, Series, and Probability
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Sample Questions
Q1) Determine whether the sequence is arithmetic.If so, find the common difference. 4, 16, 64, 256, 1024
A) 4
B) 4<sup>n</sup>
C) 4<sup>n</sup> - 4<sup>n</sup><sup>-</sup><sup>1</sup>
D) -4
E) not arithmetic
Q2) In how many ways can a 12-question true-false exam be answered? (Assume that no questions are omitted.)
A) 4096
B) 65,536
C) 524,288
D) 1024
E) 1,048,576
Q3) Evaluate: <sub>9</sub>P<sub>6</sub>
A) 84
B) 504
C) 60,480
D) 54
E) undefined
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