Mathematics for the Life Sciences
Exam Solutions
Course Introduction
Mathematics for the Life Sciences introduces students to mathematical concepts and quantitative techniques essential for understanding biological systems and processes. The course covers topics such as functions, differential equations, probability, statistics, and modeling, emphasizing their application in areas like population dynamics, genetics, epidemiology, and physiology. Through real-world examples and data analysis, students will develop problem-solving skills and gain insights into how mathematical modeling and analysis can be used to address complex questions in the life sciences.
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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Page 2
Chapter 1: Fundamental Concepts of Algebra
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119 Verified Questions
119 Flashcards
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Sample Questions
Q1) Find the special product. (3x - 9)(3x + 9)
A) 6x
B) 6x<sup>2</sup>
C) 9x<sup>2</sup> - 81
D) 9x<sup>2</sup> + 81
E) 9x<sup>2</sup> - 54x - 81
Answer: C
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) 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) 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) 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
Q2) 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>: (-5, -5), (4, 6)
L<sub>2 </sub>: (-9, 8), (-18, -3)
A) parallel
B) perpendicular
C) neither
Answer: A
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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 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
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 Verified Questions
94 Flashcards
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Sample Questions
Q1) The costs to a store two models of Global Positioning System (GPS) receivers are $80 and $100.The $80 model yields a profit of $25 and the $100 model yields a profit of $30.Market tests and available resources indicate the following constraints. The merchant estimates that the total monthly demand will not be exceed 200 units. The merchant does not want to invest more than $18,000 in GPS receiver inventory. What is the optimal inventory level for each model what is optimal profit?
A) A maximum profit of $4500 occurs when 180 of each model of GPS receiver is sold.
B) A maximum profit of $5000 occurs when 200 of each model of GPS receiver is sold.
C) A maximum profit of $5400 occurs when 180 of each model of GPS receiver is sold.
D) A maximum profit of $6000 occurs when 200 of each model of GPS receiver is sold.
E) A maximum profit of $5500 occurs when 100 of each model of GPS receiver is sold.
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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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9
Chapter 7: Sequences, Series, and Probability
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92 Flashcards
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Sample Questions
Q1) Find the indicated nth partial sum of the arithmetic sequence. 2.5, 3.8, 5.1, 6.4, ..., n =
100
A) 12,505
B) 6815
C) 6685
D) 6683.8
E) 6686.2
Q2) You are given the probability that an event will happen.Find the probability that the event will not happen. P(E) = 0.79
A) 0.79
B) 0.21
C) 0.105
D) 0
E) 1
Q3) Find the sum of the integers from 31 to 61.
A) 1891
B) 30
C) 2852
D) 1426
E) 3782
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