Algebra for Life Sciences
Test Preparation
Course Introduction
Algebra for Life Sciences introduces students to fundamental algebraic concepts and techniques with an emphasis on applications relevant to biology, ecology, and health sciences. The course covers expressions, equations, functions (including linear, quadratic, and exponential models), systems of equations, and data analysis, all contextualized within scenarios commonly encountered in the life sciences. Through problem-solving and real-world modeling exercises, students develop quantitative reasoning skills necessary for advanced coursework and research in biologically oriented fields. No prior calculus background is required, making this course suitable for students seeking to strengthen their mathematical foundation for life sciences applications.
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) 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
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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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) A projectile is fired straight upward from ground level with an initial velocity of 120 feet per second.During what time period will its height exceed 220 feet? Round your answer to the nearest tenth of a second.
A) between 4.3 and 6.8 seconds
B) between 3.2 and 6.8 seconds
C) between 1.6 and 4.3 seconds
D) between 3.9 and 6.8 seconds
E) between 3.2 and 4.3 seconds
Answer: E
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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 (f + g)(x). f (x) = -2x<sup>2</sup> - x - 7
G(x) = -x<sup>2</sup> - 4x + 7
A) ( f + g)(x) = -x<sup>4</sup> + 3x<sup>2</sup> - 14
B) ( f + g)(x) = -3x<sup>4</sup> - 5x<sup>2</sup>
C) ( f + g)(x) = -x<sup>2</sup> + 3x - 14
D) ( f + g)(x) = -3x<sup>2</sup> - 5x
E) ( f + g)(x) = 3x<sup>2</sup> + 5x
Answer: D
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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) How long will it take $10,000 to quadruple if it is invested in a savings account that pays 5.5% annual interest compounded continuously? Round to the nearest year.
A) 25 years
B) 20 years
C) 19 years
D) 32 years
E) 30 years
Q2) 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
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Chapter 5: Systems of Equations and Inequalities
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94 Flashcards
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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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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) A heavy object (with negligible air resistance) is dropped from a plane.During the first second of fall, the object falls 16.6 meters; during the second second, it falls 49.8 meters; during the third second, it falls 83.0 meters; and during the fourth second, it falls 116.2 meters.If this pattern continues, how many meters will the object fall in 10 seconds?
A) 813.4 meters
B) 597.6 meters
C) 1062.4 meters
D) 1660.0 meters
E) 1344.6 meters
Q2) Determine the number of ways a computer can randomly generate an integer divisible by 4 from 1 through 15.
A) 7
B) 3
C) 11
D) 5
E) 9
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