College Algebra
Exam Solutions
Course Introduction
College Algebra is designed to provide students with a solid foundation in algebraic concepts essential for advanced mathematical studies. The course covers topics such as linear equations and inequalities, quadratic functions, polynomial and rational expressions, exponential and logarithmic functions, and systems of equations. Emphasis is placed on mathematical reasoning, problem-solving techniques, and the application of algebraic methods to real-world scenarios. By the end of the course, students will be well-prepared for further coursework in mathematics and related 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 Page 2
Chapter 1: Fundamental Concepts of Algebra
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119 Verified Questions
119 Flashcards
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Sample Questions
Q1) Factor the trinomial. u<sup>2</sup> - 8u + 12
A) u(u - 8) + 12
B) u(u + 4)
C) (u + 2)(u - 6)
D) (u - 2)(u - 6)
E) (u + 2)(u + 6)
Answer: D
Q2) Factor out the common factor. 30q - 5
A) 5(25q)
B) 5(6q)
C) 5(6q - 1)
D) 30(q - 1)
E) 30(q + 1)
Answer: C
Q3) Plot the two real numbers on the real number line.Then place the appropriate inequality symbol (< or >) between them. 2, -3
A) 2 < -3
B) 2 > -3
Answer: B
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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) The price of a home theater system has been discounted 18%.The sale price is $289.Find the original price of the system.
A) $341.02
B) $356.25
C) $363.86
D) $352.44
E) $348.63
Answer: D
Q2) Two planes leave simultaneously from the same airport, one flying due east and the other due south.The eastbound plane is flying 75 miles per hour slower than the southbound plane.After 3 hours the planes are 1863 miles apart.Find the speed of the southbound plane.
A) 475 miles per hour
B) 350 miles per hour
C) 375 miles per hour
D) 425 miles per hour
E) 400 miles per hour
Answer: A
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Page 4
Chapter 2: Functions and Graphs
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97 Verified Questions
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 midpoint of the line segment joining the points. (7, -7), (-7, -5)
A) (0, 6)
B) (-6, 0)
C) (-1, 7)
D) (7, -1)
E) (0, -6)
Answer: E
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Page 5
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 Verified Questions
92 Flashcards
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Sample Questions
Q1) 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%
Q2) An initial investment of $6000 grows at an annual interest rate of 3% compounded continuously.How long will it take to double the investment?
A) 23.10 years
B) 24.10 years
C) 24.00 years
D) 23.00 years
E) 1 year
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Chapter 5: Systems of Equations and Inequalities
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94 Verified Questions
94 Flashcards
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Sample Questions
Q1) A dietitian designs a special diet supplement using two different foods.Each ounce of food X contains 10 units of calcium, 15 units of iron, and 20 units of vitamin B.Each ounce of food Y contains 15 units of calcium, 10 units of iron, and 20 units of vitamin B.The minimum daily requirements for the diet are 380 units of calcium, 240 units of iron, and 390 units of vitamin B.Which combinations of foods X and Y below, if any, can be given to the patient to meet the minimum daily requirements? Combination I : 21 ounces of food X and 22 ounces of food Y
Combination II :
16 ounces of food X and 19 ounces of food Y
Combination III :
10 ounces of food X and 10 ounces of food Y
A) Only combinations II and III meet the minimum daily requirement.
B) Only combination II meets the minimum daily requirement.
C) None of the combinations meet the minimum daily requirement.
D) Only combinations I and II meet the minimum daily requirement.
E) Only combination III meets the minimum daily requirement.
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8
Chapter 6: Matrices and Determinants
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94 Verified Questions
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) Evaluate: <sub>9</sub>P<sub>6</sub>
A) 84
B) 504
C) 60,480
D) 54
E) undefined
Q2) A quality control inspector receives a shipment of 10 computer monitors.From the 10 monitors, the inspector randomly chooses 6 for inspection.If the probability of a monitor being defective is 0.08, what is the probability that at least one of the monitors chosen by the inspector is defective? Round to the nearest hundredth.
A) 0.39
B) 0.27
C) 0.45
D) 0.26
E) 0.35
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