Mathematics for Life Sciences
Test Preparation
Course Introduction
Mathematics for Life Sciences introduces students to the fundamental mathematical concepts and techniques used to model, analyze, and interpret biological processes. Topics include basic functions, differential equations, probability, statistics, and their applications to areas such as population dynamics, genetics, epidemiology, and physiology. Emphasis is placed on developing quantitative reasoning skills and the ability to apply mathematical methods to real-world problems in the life sciences, preparing students to approach biological questions with analytical rigor and computational tools.
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
Source URL: https://quizplus.com/quiz/73587
Sample Questions
Q1) Completely factor the expression. 8z<sup>3</sup> - 46z<sup>2</sup> + 56z
A) 2z(z + 4)(4z + 7)
B) 2z(z - 4)(4z - 7)
C) (2z<sup>2</sup> - 8z)(4z - 7)
D) (2z<sup>2</sup> + 8z)(4z + 7)
E) (z - 8)(8z<sup>2</sup> - 14z)
Answer: B
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) Write the polynomial in standard form. 9 + 7x<sup>2</sup> + 8x
Answer: 7x<sup>2</sup> + 8x + 9
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3
Chapter 1: Equations and Inequalities
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94 Verified Questions
94 Flashcards
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Sample Questions
Q1) An overnight delivery service will not accept any package whose combined length and girth (perimeter of a cross section) exceeds 88 inches.Suppose that you are sending a rectangular package that has square cross sections.If the length of the package is 40 inches, what is the maximum width of the sides of its square cross sections?
A) 7.2 inches
B) 14.4 inches
C) 12.0 inches
D) 19.2 inches
E) 4.8 inches
Answer: C
Q2) Two friends fly from from one city to another (a distance apart of 2417 miles).It takes 2 hours and 25 minutes to fly the first 860 miles.At this rate, how long is the entire flight? Round to the nearest hundredth of an hour.
A) 8.15 hours
B) 6.79 hours
C) 6.34 hours
D) 5.89 hours
E) 7.24 hours
Answer: B
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Chapter 2: Functions and Graphs
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97 Verified Questions
97 Flashcards
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Sample Questions
Q1) Determine whether lines L<sub>1</sub> and L<sub>2</sub> passing through the pairs of points are parallel, perpendicular, or neither. L<sub>1 </sub>: (1, 2), (1, 4)
L<sub>2 </sub>: (-7, -8), (-9, -8)
A) parallel
B) perpendicular
C) neither
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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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) An investment is expected to pay 11% per year compounded continuously.If you want the value of the investment to be $900,000 after 25 years, how much should you invest initially? Round to the nearest dollar.
A) $14,384
B) $28,768
C) $57,535
D) $115,070
E) $368,953
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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7
Chapter 5: Systems of Equations and Inequalities
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94 Verified Questions
94 Flashcards
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Sample Questions
Q1) A total of $28,000 is invested in two corporate bonds that pay 11% and 4% simple interest.The total annual interest is $2170.How much is invested in the 4% bond?
A) $17,000
B) $15,000
C) $13,000
D) $18,000
E) $16,000
Q2) For the given supply and demand equations, find the consumer surplus. Round to the nearest dollar. Demand Supply
P = 170 - 0.00003x p = 140 + 0.00004x
A) $2,755,102
B) $3,030,612
C) $3,306,122
D) $4,132,653
E) $3,673,469
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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) 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 a certain state, each automobile license plate number consists of two letters followed by a five-digit number.To avoid confusion between "O" and "zero" and "I" and "one", the letters "O" and "I" are not used.How many distinct license plate numbers can be formed?
A) 13,824,000
B) 57,600,000
C) 331,776,000
D) 5,760,000
E) 138,240,000
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