Mathematics for the Life Sciences Exam Answer Key - 840 Verified Questions

Mathematics for the Life Sciences

Exam Answer Key

Course Introduction

Mathematics for the Life Sciences introduces students to the fundamental mathematical concepts and quantitative techniques used to model, analyze, and interpret biological phenomena. The course covers essential topics such as functions, differential equations, linear algebra, and probability, emphasizing their application in life sciences fields like ecology, epidemiology, genetics, and physiology. Through real-world examples and problem-solving, students learn how mathematical approaches contribute to understanding complex biological systems, designing experiments, and making predictions in research and healthcare settings.

Recommended Textbook

Elementary and Intermediate Algebra 4th Edition by Mark Dugopolski Emeritus

Available Study Resources on Quizplus

32 Chapters

840 Verified Questions

840 Flashcards

Source URL: https://quizplus.com/study-set/3927

Page 2

Chapter 1: Section 1: Real Numbers and Their Properties

Available Study Resources on Quizplus for this Chatper

29 Verified Questions

29 Flashcards

Source URL: https://quizplus.com/quiz/78323

Sample Questions

Q1) Jim has a $112,700 home with a $58,444 mortgage. He has $7,995 in savings and an additional $5,021 in a mutual fund account. He owes $9,822 on his car and $2,143 on his credit card. What is Jim's net worth?

A) $45,265

B) $74,951

C) $55,307

D) $39,317

Answer: C

Q2) Write as a product without exponents: 8⁴

A) 8 + 8 + 8 + 8

B) 4·8

C) 8·8·8·8

D) None of these.

Answer: C

Q3) Combine like terms if possible: 8m - (-5m)

A) 8m - (-5m)

B) 13m

C) 3m

D) -3m

Answer: B

To view all questions and flashcards with answers, click on the resource link above. Page 3

Chapter 1: Section 2: Real Numbers and Their Properties

Available Study Resources on Quizplus for this Chatper

29 Verified Questions

29 Flashcards

Source URL: https://quizplus.com/quiz/78322

Sample Questions

Q1) Translate the given sentence into an equation: "The product of n + 14 and n + 7 is 1."

Answer: (n + 14)(n + 7) = 1

Q2) Convert to a percent and a fraction: 0.7

Answer: 70%, 11ea9079_e301_cd10_aec7_0df6f8cf357c_TB3543_11

Q3) A large industrial plant produces one ton of concrete every 0.75 minutes. At what rate is the facility producing concrete in tons per hour? Round to the nearest thousandth of a ton per hour.

Answer: 80.000 tons/hr

Q4) T.L. and Quina plan to add a 9-inch thick layer of gravel to their driveway. The driveway is 29 yards long and 3 yards wide. What volume of gravel in cubic yards is required? Assume that the driveway layer is in the shape of a rectangular slab. Answer: 11ea9079_e301_cd11_aec7_8d887fb183cb_TB3543_11 yd³

Q5) Perform the indicated operation: 4 - (-12)

Answer: 16

Q6) Evaluate: 23 + (-24)

Answer: -1

To view all questions and flashcards with answers, click on the resource link above. Page 4

Chapter 2: Section 1: Linear Equations and Inequalities in

One Variable

Available Study Resources on Quizplus for this Chatper

26 Verified Questions

26 Flashcards

Source URL: https://quizplus.com/quiz/78311

Sample Questions

Q1) Solve the given equation and identify it as a conditional equation, an inconsistent equation, or an identity. 64 - 4(s + 5) = 0

A) Ø, inconsistent

B) All real numbers, identity

C) {11}, conditional

Answer: C

Q2) Mark and Brenda wish to get $128,800 for their home. The real estate agent's commission is 8% of the selling price. What should the selling price be?

A) $141,200

B) $142,500

C) $128,800

D) $140,000

Answer: D

Q3) Solve the given equation and identify it as a conditional equation, an inconsistent equation, or an identity. s + 6s = 7s

A) Ø, inconsistent

B) All real numbers, identity

C) {0}, conditional

Answer: B

5

To view all questions and flashcards with answers, click on the resource link above.

Chapter 2: Section 2: Linear Equations and Inequalities in

One Variable

Available Study Resources on Quizplus for this Chatper

26 Verified Questions

26 Flashcards

Source URL: https://quizplus.com/quiz/78310

Sample Questions

Q1) Solve the given equation and identify it as a conditional equation, an inconsistent equation, or an identity.

80 - 5(t + 4) = 0

Q2) Liam invested some money in the Abernathy Fund and $2,498 more than that amount in the Carlson Fund. For the year he was in these funds, the Abernathy fund paid 6% simple interest and the Carlson Fund paid 14% simple interest. If the income from the two funds totalled $2,250.12, then how much was invested in each fund?

Q3) The length of a rectangle must be 8 centimeters more than the width, and the perimeter must be at least 36 centimeters. What is the range of values for the width?

Q4) Solve the given equation and identify it as a conditional equation, an inconsistent equation, or an identity. u + 5u = 6u

Q5) Translate into an algebraic expression. 35 decreased by the quotient of x and 10

Q6) Solve.

0.2n + 2.4 = 0.6n

Q7) Find an algebraic expression for the underlined quantity. The distance, given that the rate is x miles per hour and the time is 8 hours.

To view all questions and flashcards with answers, click on the resource link above. Page 6

Chapter 3: Section 1: Linear Equations and Inequalities in

Two Variables

Available Study Resources on Quizplus for this Chatper

26 Verified Questions

26 Flashcards

Source URL: https://quizplus.com/quiz/78309

Sample Questions

Q1) The price of a 2-hour plumbing repair job is $130 and the price of a 5-hour job is $250. Write an equation for the cost C of a t-hour repair job and use the equation to find the cost of a repair job lasting 7 hours.

A) C = 40t + 50; $330

B) C = 40t; $280

C) C = 40t + 40; $320

D) C = 50t + 40; $390

Q2) Complete the ordered pair so that it satisfies the given equation. y = 7x - 13: (4, ___)

A) (4, 16)

B) (4, 28)

C) (4, 15)

D) (4, 41)

Q3) Does the point (2, 14) satisfy the inequality y \(\le\) 2x - 2?

A)True

B)False

To view all questions and flashcards with answers, click on the resource link above. Page 7

Chapter 3: Section 2: Linear Equations and Inequalities in

Two Variables

Available Study Resources on Quizplus for this Chatper

25 Verified Questions

25 Flashcards

Source URL: https://quizplus.com/quiz/78308

Sample Questions

Q1) A playground equipment manufacturer plans to spend $300,000 on a new facility plus $140 for each swing set made.The formula C = 140n + 300,000 gives the cost in dollars to manufacture n swing sets. What is the marginal cost of the nth swing set? [Hint - the marginal cost of the nth swing set is the difference in cost of producing n + 1 swing sets and n swing sets).

Q2) Write a formula that expresses the relationship described below. Use k as a constant of variation.

P varies directly with T

Q3) Graph the equation y = -3x + 1.

Q4) The price of a 2-hour plumbing repair job is $130 and the price of a 5-hour job is $250. Write an equation for the cost C of a t-hour repair job and use the equation to find the cost of a repair job lasting 9 hours.

Q5) The time to drive from Gotham City to Farmville varies inversely with the average speed. If the drive takes 5.0 hours at 49 mph, then how long will it take at 70 mph? Round to the nearest tenth of an hour.

Q6) Find the slope and the y-intercept of the line represented by 12x + 7y = 5.

Q7) Find the equation (in standard form) of the line through (2, 0) and (4, -1).

Q8) Graph the line through (-1, 3) with slope -2.

To view all questions and flashcards with answers, click on the resource link above. Page 8

Chapter 4: Section 1: Exponents and Polynomials

Available Study Resources on Quizplus for this Chatper

28 Verified Questions

28 Flashcards

Source URL: https://quizplus.com/quiz/78307

Sample Questions

Q1) Find the product. -5y⁷·2y²

A) -10y⁹

B) -10y¹⁴

C) -5y⁷.2y²

D) -3y⁹

Q2) Multiply. (-4r - 9)²

A) 16r² + 72r + 81

B) -4r² + 72r + 81

C) 16r² + 81

D) 16r² + 36r + 81

Q3) Find the quotient and the remainder. (x⁴ - 5x³ + 10) \(\div\) (x² + 2)

A) x² - 5x - 2, 10x - 6

B) x² - 2, -5x + 14

C) x² - 5x + 2, -10x + 14

D) x² - 5x - 2, 10x + 14

To view all questions and flashcards with answers, click on the resource link above.

Chapter 4: Section 2: Exponents and Polynomials

Available Study Resources on Quizplus for this Chatper

28 Verified Questions

28 Flashcards

Source URL: https://quizplus.com/quiz/78306

Sample Questions

Q1) Expand the binomial. (n - 2)³

Q2) Simplify. (xy³)³

Q3) Multiply. (6 + 5x)(6 - 5x)

Q4) State the degree of the polynomial and determine if it is a monomial, binomial, or trinomial.

x⁴

Q5) The edges of a triangular homesite have lengths of 3x + 4, x, and x - 1. Write an expression for the perimeter of the property.

Q6) Simplify. 5y⁴·(y⁴)⁵

Q7) Find the product. (5w² - 4)(5w² - 1)

Q8) Perform the computation. (3 \(\times\)10^-14)²

Q9) Find the product. -10t⁵·2t⁷

To view all questions and flashcards with answers, click on the resource link above. Page 10

Chapter 5: Section 1: Factoring

Available Study Resources on Quizplus for this Chatper

25 Verified Questions

25 Flashcards

Source URL: https://quizplus.com/quiz/78305

Sample Questions

Q1) Factor. vw - 9w - 2v + 18

A) (v - 9)(w - 2)

B) The expression is prime.

C) (v + 9)(w + 2)

D) (v - 2)(w - 9)

Q2) Factor the given polynomial completely. 6v²w - 48vw + 90w

A) w(6v - 30)(6v - 18)

B) 6w(v - 5)(v - 3)

C) The polynomial is prime.

D) 6w(v² - 8v + 15)

Q3) Factor the given polynomial completely. If the polynomial is prime, say so. x³+ xy + 2x² + 2y

A) The polynomial is prime.

B) (x + 2)(x² + y)

C) (x + 2)(x + y)

D) (x² + 2)(x + y)

To view all questions and flashcards with answers, click on the resource link above. Page 11

Chapter 5: Section 2: Factoring

Available Study Resources on Quizplus for this Chatper

25 Verified Questions

25 Flashcards

Source URL: https://quizplus.com/quiz/78304

Sample Questions

Q1) Factor completely.

b³p³ - 6b²p² + 9bp

Q2) Factor the given polynomial completely. x⁴+ y⁴

Q3) Factor the polynomial below completely, given that the binomial following it is a factor of the polynomial.

u³ + 2u² - 11u - 12, u - 3

Q4) Find the greatest common factor for the given numbers. 36, 80, 120

Q5) Find the greatest common factor of the given terms. 8qr, 28rs, 12qs

Q6) Factor the given polynomial completely. If the polynomial is prime, say so. n² - 2n

Q7) Factor.

9y² - 100

Q8) Factor.

8x³ - 27

Q9) Factor out the greatest common factor. (y - 6)4 + (y - 6)y

To view all questions and flashcards with answers, click on the resource link above. Page 12

Chapter 6: Section 1: Rational Expressions

Available Study Resources on Quizplus for this Chatper

25 Verified Questions

25 Flashcards

Source URL: https://quizplus.com/quiz/78303

Sample Questions

Q1) A large pump can fill a 73,000 gallon reservoir in 7 hours. Working together, the large pump and a smaller one can fill the reservoir in 6 hours. How long would it take the smaller pump to fill the reservoir by itself?

A) 41 hours

B) 42 hours

C) 44 hours

D) 43 hours

Q2) Brandi bought a total of 6 lb of flounder and shrimp and paid $16 for the flounder and $16 for the shrimp. If the price per pound of the shrimp is twice that of the flounder, how many pounds of each did she buy?

A) 3 lb shrimp and 3 lb flounder

B) 1 lb shrimp and 5 lb flounder

C) 2 lb shrimp and 4 lb flounder

D) 4 lb shrimp and 2 lb flounder

To view all questions and flashcards with answers, click on the resource link above.

13

Chapter 6: Section 2: Rational Expressions

Available Study Resources on Quizplus for this Chatper

25 Verified Questions

25 Flashcards

Source URL: https://quizplus.com/quiz/78302

Sample Questions

Q1) Find the least common multiple of the given terms. q² + 7q - 30, q² + 20q + 100

Q2) Chris prepares a 10-pound mixture of cashews and peanuts. He paid $18 for the cashews and $14 for the peanuts. If cashews cost three times more than peanuts, then how many pounds of cashews did he use?

Q3) A large pump can fill a 78,000 gallon reservoir in 8 hours. Working together, the large pump and a smaller one can fill the reservoir in 6 hours. How long would it take the smaller pump to fill the reservoir by itself?

Q4) Among 100 college students, 40 said they study 11 or more hours per week while the rest said they did not. What is the ratio of those students who study at least 11 hours per week to those that do not?

Q5) Jimbo biked 50 miles at x mph. He then increased his speed by 5 mph and biked another 40 miles. Write a rational expression for Jimbo's total travel time.

Q6) Cora can paddle her canoe 8 miles in the same time that Susan's motorboat covers 28 miles. If Susan's boat travels 10 mph faster than Cora's canoe, then how fast is Susan's boat?

To view all questions and flashcards with answers, click on the resource link above. Page 14

Chapter 7: Section 1: Systems of Linear Equations

Available Study Resources on Quizplus for this Chatper

17 Verified Questions

17 Flashcards

Source URL: https://quizplus.com/quiz/78301

Sample Questions

Q1) When rolling a pair of dice, the probability of getting a particular total is not very high. For example, the probability of failing to roll a total of 7 is 5 times the probability of successfully rolling a total of 7. The total probability (probability of failing to roll a 7 + probability of successfully rolling a 7) is 1. What is the probability of rolling a 7?

A) 1 in 6

B) 1 in 18

C) 1 in 9

D) None of these.

Q2) Solve the system of equations. 0.5x + 2y = 1.25

-0)875x + 1.5y = 2.8125

A) {(-1, 1.5)}

B) {(0, 1)}

C) {(0, 3)}

D) {(-1.5, 1)}

To view all questions and flashcards with answers, click on the resource link above.

15

Chapter 7: Section 2: Systems of Linear Equations

Available Study Resources on Quizplus for this Chatper

15 Verified Questions

15 Flashcards

Source URL: https://quizplus.com/quiz/78300

Sample Questions

Q1) Solve the system of linear equations by the substitution method.

-5x = -2y + 9

5x + 5y = -30

Q2) Cashews sell for $5 per pound and peanuts sell for $2 per pound. How many pounds of each would you use to make 15 pounds of a mixture that sells for $3.20 per pound?

Q3) Fred, Tiger, and Nancy play a round of golf together. Their combined score is 226. Fred's score was 5 more than Tiger's, and Nancy's score was 9 more than Fred's. What was each person's score?

Q4) Solve the system of linear equations by the substitution method. Then, state whether the system is independent, dependent, or inconsistent.

4x - 3y = 4

12x - 9y = 12

Q5) Solve the system of equations.

-x + 5y - 3z = 31

-4x - 5y + 4z = 6

3x - 15y + 9z = -91

To view all questions and flashcards with answers, click on the resource link above.

16

Chapter 8: Section 1: More on Inequalities

Available Study Resources on Quizplus for this Chatper

23 Verified Questions

23 Flashcards

Source URL: https://quizplus.com/quiz/78299

Sample Questions

Q1) Carla wants to purchase insurance for her landscaping business. She determines that she needs at least $137,500 of property coverage and at least $159,500 of liability coverage. In order to gain this amount of coverage, she can purchase any combination of insurance plans A and B from two different insurance companies. For each dollar she spends on Plan A, she gets $250 of property coverage and $300 of liability coverage. Plan B provides $260 of property coverage and $290 of liability coverage for each dollar of premium paid. How much should she spend on each plan to minimize her insurance cost?

A) $290 for Plan A and $250 for Plan B

B) $550 for Plan A and $0 for Plan B

C) $250 for Plan A and $290 for Plan B

D) $320 for Plan A and $300 for Plan B

Q2) Solve the inequality and write the solution set in interval notation. 3 < |x| - 2

A) (-\(\infty\), -5) \(\cup\) (5, \(\infty\))

B) (-\(\infty\), -5) \(\cap\) (5, \(\infty\))

C) (-5, 5)

D) (5, \(\infty\))

To view all questions and flashcards with answers, click on the resource link above. Page 17

Chapter 8: Section 2: More on Inequalities

Available Study Resources on Quizplus for this Chatper

22 Verified Questions

22 Flashcards

Source URL: https://quizplus.com/quiz/78298

Sample Questions

Q1) Determine whether the absolute value inequality is equivalent to the inequality following it:

|-2 - x| < 14, -2 - x < 14 and -(-2 - x) < 14

A)True

B)False

Q2) Graph the solution set for the following system of inequalities and identify each vertex of the region.

x \(\ge\) 0, y \(\ge\) 0

2x + y \(\ge\) 4

2x + 3y \(\ge\) 7

Q3) Trisha needs to adjust her cholesterol level to a target value of 170. She recalls that her cholesterol level differed from her target value by 6 units, but does not recall whether she is above or below the target value. Use an absolute value equation to find the possible values for Trisha's cholesterol level.

Q4) Kara works at a bakery and can prepare a birthday cake in 4 hours. It takes her 5 hours to prepare a wedding cake. Kara works a 40-hour week and she must bake more wedding cakes than birthday cakes. Draw a graph that illustrates the number of each type of cake Kara can bake per week.

Q5) Solve: 12 - |-13 - x| = 2

To view all questions and flashcards with answers, click on the resource link above. Page 18

Chapter 9: Section 1: Radicals and Rational Exponents

Available Study Resources on Quizplus for this Chatper

25 Verified Questions

25 Flashcards

Source URL: https://quizplus.com/quiz/78297

Sample Questions

Q1) Find the difference. (1 + 4i) - (-7 + 7i)

A) -6 - 3i

B) 8 + 11i

C) -6 + 11i

D) 8 - 3i

To view all questions and flashcards with answers, click on the resource link above.

19

Chapter 9: Section 2: Radicals and Rational Exponents

Available Study Resources on Quizplus for this Chatper

25 Verified Questions

25 Flashcards

Source URL: https://quizplus.com/quiz/78296

Sample Questions

Q1) The diagonal of a square measures 8 inches. What is the length of the sides?

Q2) Evaluate. (27)^-4/3

Q3) Find the difference. (-5 - 10i) - (-7 - 3i)

Q4) Simplify.

49^2/3 \(\div\) 49^1/6

Q5) Find all real solutions. -10(x - 3)³ = 0

Q6) Find all real solutions. (u - 2)^-1/3 = 1

Q7) Find all real solutions. (s + 3)² - 5 = 0

To view all questions and flashcards with answers, click on the resource link above.

Chapter 10: Section 1: Quadratic Equations and Inequalities

Available Study Resources on Quizplus for this Chatper

25 Verified Questions

25 Flashcards

Source URL: https://quizplus.com/quiz/78321

Sample Questions

Q1) Use the discriminant to determine whether the given quadratic polynomial can be factored, then factor it if it is not prime. 10x² + 10x + 6

A) The expression is prime.

B) (x + 10)(x + 6)

C) (10x + 6)(x + 10)

D) (10x + 10)(x + 6)

Q2) Solve the given inequality and express the solution in interval notation. x² + 9x \(\ge\) 0

A) (-\(\infty\), 0] \(\cup\) [9, \(\infty\))

B) [0, \(\infty\))

C) [-9, 0]

D) (-\(\infty\), -9] \(\cup\) [0, \(\infty\))

Q3) The monthly profit P in dollars that Carla makes on the sale of x automobiles is determined by the formula P = x² + 3x - 54. For what values of x is her profit positive?

A) 6, 7, ...

B) 1, 2, ..., 7

C) 7, 8, ...

D) 1, 2, ..., 6

To view all questions and flashcards with answers, click on the resource link above.

Page 21

Chapter 10: Section 2: Quadratic Equations and Inequalities

Available Study Resources on Quizplus for this Chatper

25 Verified Questions

25 Flashcards

Source URL: https://quizplus.com/quiz/78320

Sample Questions

Q1) Complete the ordered pair so that it satisfies the given equation. y = x² + 4x + 2, (4, )

Q2) Solve using the quadratic formula: 3x² + 5x - 1 = 0

Q3) Find all real and imaginary solutions to the equation. t⁴ - 6561 = 0

Q4) Find all real solutions of the given equation. (x² + 1)² - 11(x² + 1) = -10

Q5) Find b² - 4ac and the number of real solutions for the given equation. x² - 2x + 1 = 0

Q6) Solve by completing the square. 2x² - 5x + 1 = 0

Q7) A battery manufacturing plant spends C dollars per hour to produce "D"-size batteries. An efficiency consultant has determined that C is related to the number of batteries produced per hour, x, according to the equation C(x) = 0.02x² - 3x + 217.5. What number of batteries per hour minimizes the cost?

Q8) Find the imaginary solutions: x² - 6x + 90 = 0

Q9) Graph the parabola. y = -x² + 4

Q10) Write a quadratic equation that has the solutions 8 and 1.

To view all questions and flashcards with answers, click on the resource link above. Page 22

Chapter 11: Section 1: Functions

Available Study Resources on Quizplus for this Chatper

26 Verified Questions

26 Flashcards

Source URL: https://quizplus.com/quiz/78319

Sample Questions

Q1) For the given polynomial, find the x-intercepts and determine the behavior of the graph of the polynomial at each x-intercept. Match your result to the correct answer below. f(x) = x² + 7x + 12

A) Crosses at (-4, 0) and (3, 0)

B) Crosses at (4, 0) and (-3, 0)

C) Crosses at (4, 0) and (3, 0)

D) Crosses at (-4, 0) and (-3, 0)

Q2) Determine whether f(x) = 5x and g(x) = 0.2x are inverses of each other.

A)True B)False

Q3) Determine whether the relation |6x| = |-7y| is a function.

A)True B)False

To view all questions and flashcards with answers, click on the resource link above.

Chapter 11: Section 2: Functions

Available Study Resources on Quizplus for this Chatper

25 Verified Questions

25 Flashcards

Source URL: https://quizplus.com/quiz/78318

Sample Questions

Q1) Let f(x) = -2x - 4 and g(x) = x² + 10x. Find (f ·g)(4).

Q2) Determine whether f(x) = 2x and g(x) = 0.5x are inverses of each other.

A)True

B)False

Q3) Determine whether the given function is invertible. If it is invertible, then find its inverse.

{(-5,4),(-1,1),(-13,5)}

Q4) How are the graphs of f(x) = (x + 4)² and g(x) = -(x + 4)² related?

Q5) Give the correct domain and range of the relation . {(-5, 4), (5, 4)}

Q6) Determine whether the relation |2x| = |-8y| is a function.

A)True

B)False

Q7) For the given polynomial, find the x-intercepts and determine the behavior of the graph of the polynomial at each x-intercept. f(x) = x² + 2x - 3

Q8) How are the graphs of f(x) = x² and g(x) = x² + 7 related?

To view all questions and flashcards with answers, click on the resource link above. Page 24

Chapter 12: Section 1: Exponential and Logarithmic Functions

Available Study Resources on Quizplus for this Chatper

25 Verified Questions

25 Flashcards

Source URL: https://quizplus.com/quiz/78317

Sample Questions

Q1) Solve -8^-6-^x = -64.

A) {-8}

B) {0}

C) {-6}

D) {-7}

Q2) Write ln(r²) + ln(r⁴) + ln(r) as a single logarithm. Assume r represents numbers for which the logarithms are defined.

A) ln(r⁵)

B) ln(r⁷)

C) The logarithms cannot be combined.

D) ln(r⁸)

Q3) Write 2⁵ = 32 as a logarithmic equation.

A) log₂5 = 32

B) log₂32 = 2

C) log₅32 = 2

D) log₂32 = 5

To view all questions and flashcards with answers, click on the resource link above. Page 25

Chapter 12: Section 2: Exponential and Logarithmic Functions

Available Study Resources on Quizplus for this Chatper

25 Verified Questions

25 Flashcards

Source URL: https://quizplus.com/quiz/78316

Sample Questions

Q1) If $10,000 is deposited in an account paying 7% compounded quarterly, then what amount will be in the account after 8 years?

Q2) Solve -7^-5-^x = -49.

Q3) Solve log₂(x² - 2) = 2 + log₂(x² + 8).

Q4) Rewrite log(75) in terms of log(3) and log(5).

Q5) Write ln(s⁵) + ln(s⁶) + ln(s) as a single logarithm. Assume s represents numbers for which the logarithms are defined.

Q6) Write log₇(36) - log₇(6) as a single logarithm.

Q7) Simplify ln(e⁹).

Q8) Solve e^x^{+ 2} = 5.

Q9) Solve log(x) = -4.

Q10) Evaluate log_1/5(6). Round to four decimal places.

Q11) Solve log₁₂(x - 35) + log₁₂(x + 35) = 2.

Q13) Write log(64) in terms of log(4). Page 26

Q12) Write 3⁶ = 729 as a logarithmic equation.

Q14) Write log₆216 = 3 as an exponential equation.

To view all questions and flashcards with answers, click on the resource link above.

Page 27

Chapter 13: Section 1: Nonlinear Systems and the Conic Sections

Available Study Resources on Quizplus for this Chatper

25 Verified Questions

25 Flashcards

Source URL: https://quizplus.com/quiz/78315

Sample Questions

Q1) Solve the given system of equations. x² + y² = 625

Y = x² - 25

A) {(0, -25)}

B) {(-7, 24), (7, 24)}

C) {(0,-25), (-7, 26), (7, 26)}

D) {(0, -25), (-7, 24), (7, 24)}

Q2) Rewrite the given equation in the standard form for the equation of a circle and identify its center and radius. x² - 2x + y² + 2y - 98 = 0

A) (x + 1)² + (y - 1)² = 10; (-1, 1); 10

B) (x - 1)² + (y + 1)² = 10; (1, -1); 10

C) (x - 1)² + (y + 1)² = 100; (1, -1); 10

D) (x + 1)² + (y - 1)² = 100; (-1, 1); 10

Q3) Write the standard equation for the circle with the given radius and center. Center (-10, -2), radius 5

A) (x - 10)² + (y - 2)² = 25

B) (x - 10)² + (y - 2)² = 5

C) (x + 10)² + (y + 2)² = 5

D) (x + 10)² + (y + 2)² = 25

To view all questions and flashcards with answers, click on the resource link above. Page 28

Chapter 13: Section 2: Nonlinear Systems and the Conic Sections

Available Study Resources on Quizplus for this Chatper

24 Verified Questions

24 Flashcards

Source URL: https://quizplus.com/quiz/78314

Sample Questions

Q1) Find two complex numbers that have a sum of -14 and a product of 58.

Q2) Write the standard equation for the circle with the given radius and center. Center (8, -5), radius 12

Q3) Rewrite the given equation in the standard form for the equation of a circle and identify its center and radius.

x² - 18x + y² + 6y - 10 = 0

Q4) Write the given equation in the form y = a(x - h)² + k and identify the vertex, focus, and directrix.

y = 6x² + 36x + 55

Q5) Determine whether the graph of the equation is a circle, parabola, ellipse, or hyperbola.

(x + 9)² + 3y² = 1

Q6) Graph both equations of the system on the same coordinate axes. Use elimination to find all points of intersection. y = 1 - x² x² + 4y² = 4

Page 29

Q7) Determine whether the graph of the equation is a circle, parabola, ellipse, or hyperbola.

(x + 5)² + y² = 1

To view all questions and flashcards with answers, click on the resource link above.

Chapter 14: Section 1: Sequences and Series Available

Online at Wwwmhhecom/dugopolski

Available Study Resources on Quizplus for this Chatper

21 Verified Questions

21 Flashcards

Source URL: https://quizplus.com/quiz/78313

Sample Questions

Q1) Use the binomial theorem to expand the given binomial. (t + 2)⁴

A) t⁴ + 8t³ + 12t² + 8t + 2

B) t⁴ + 8t³ + 24t² + 32t + 16

C) 2t⁴ + 16t³ + 48t² + 16t + 2

D) t⁴ + 2t³ + 4t² + 8t + 16

Q2) Write a formula for the general term of the given sequence and match your result to the correct answer below. -2, -1, 0, 1, 2, ...

A) a_n = (-1)ⁿ(n - 3)

B) a_n = n - 3

C) a_n = -n - 3

D) a_n = n + 3

Q3) List the first four terms of the given sequence and match your result to the correct answer below. c_n = (-1)ⁿ(-2n + 3)²

A) 1, -1, 9, -25

B) 1, -1, 1, -9

C) 1, -9, 25, -49

D) -1, 1, -9, 25

To view all questions and flashcards with answers, click on the resource link above.

Page 30

Chapter 14: Section 2: Sequences and Series Available

Online at Wwwmhhecom/dugopolski

Available Study Resources on Quizplus for this Chatper

21 Verified Questions

21 Flashcards

Source URL: https://quizplus.com/quiz/78312

Sample Questions

Q1) List all terms of the finite sequence a_n = 3n + 2 for 1 n 5.

Q2) Write the first four terms of the geometric sequence whose nth term is given. a_n = (-3)ⁿ^-1

Q3) Suppose a deposit of $2000 is made at the beginning of each year for 45 years into an account that pays 11% compounded annually. What is the amount of this annuity at the end of the 45^th year?

Q4) List all terms of the given finite sequence and match your result to the correct answer below.

c_n = (-2)^n-³ for 3 \(\le\) n \(\le\) 7

Q5) Write a formula for the nth term of the given arithmetic sequence. 1, 7, 13, 19, 25, . . .

Q6) List the first four terms of the given sequence and match your result to the correct answer below.

c_n = (-1)ⁿ(-4n + 3)²

Q7) Write the first five terms of the arithmetic sequence whose nth term is given. a_n = -1 + (n + 1)(2)

Page 31

Q8) Write a formula for the general term of the given sequence and match your result to the correct answer below. -4, -3, -2, -1, 0, ...

To view all questions and flashcards with answers, click on the resource link above. Page 32

Chapter 15: Mathematical Problem Set

Available Study Resources on Quizplus for this Chatper

27 Verified Questions

27 Flashcards

Source URL: https://quizplus.com/quiz/78292

Sample Questions

Q1) The temperature T of a gas sample varies jointly as the pressure P and the volume V. If the temperature is 274 kelvin when the volume is 4.6 liters and the pressure is 1.3 atmospheres, then what is its temperature if the gas is compressed to 1.7 liters at 4 atmospheres? Round your answer to the nearest tenth of a kelvin. [The unit "kelvin" is simply a temperature unit related to the Celsius degree. The exact relationship between the two plays no part in the solution of this problem.]

Q2) Factor completely. If the polynomial is prime, say so. 9q² + 8q + 2

Q3) Factor the given polynomial completely. If the polynomial is prime, say so. y³- 6y² - 9y + 54

Q4) Find the product. (3a + 7)(a + 9)

Q5) Solve the given equation. y² + 6y + 8 = 0

Q6) A triangle has sides of length x inches, x + 1 inches, and x + 2 inches and its perimeter is given by x + (x + 1) + (x + 2) = 42 inches. Find the measures of the sides by solving the perimeter equation.

Q7) Simplify: u - 0.03(u - 300)

Q8) Does the point (5, -12) satisfy the inequality y \(\ge\) 15x + 12?

To view all questions and flashcards with answers, click on the resource link above. Page 33

Chapter 16: Algebraic Equations and Problem Solving

Available Study Resources on Quizplus for this Chatper

27 Verified Questions

27 Flashcards

Source URL: https://quizplus.com/quiz/78293

Sample Questions

Q1) Determine whether 13 is a solution of -3x - 15 = -24.

A)True

B)False

Q2) Perform the indicated operation. (p² - p - 1) - (p² + 4p + 5)

A) -5p + 4

B) 2p² - 5p - 6

C) -5p + 6

D) -5p - 6

Q3) Solve and write your answer in interval notation. p - 3 < 3p - 13

A) (- , 3)

B) (6, )

C) (5, )

D) (3, )

Q4) Solve the given equation and identify it as a conditional equation, an inconsistent equation, or an identity. 8x - x = 7x

A) All real numbers, identity

B) {1}, conditional

C) Ø, inconsistent

To view all questions and flashcards with answers, click on the resource link above. Page 34

Chapter 17: Algebra and Math Problems

Available Study Resources on Quizplus for this Chatper

50 Verified Questions

50 Flashcards

Source URL: https://quizplus.com/quiz/78294

Sample Questions

Q1) Conrad builds picnic tables and porch swings which he sells at flea markets. A picnic table requires six 2\(\times\)4's and nine 1\(\times\)6's. A swing uses three 2\(\times\)4's and six 1\(\times\)6's. Conrad currently has 120 2\(\times\)4's and 198 1\(\times\)6's in his inventory. If tables sell for $60 and swings sell for $25, how many of each items should Conrad make in order to maximize his revenue?

Q2) Write a formula for the nth term of the given geometric sequence. 1, 6, 36, 216, 1296, . . .

Q3) The pH of a solution is defined by pH = -log₁₀[H⁺] where [H⁺] is the hydrogen ion concentration in moles per liter. To the nearest hundredth, what is the pH of a cup of coffee in which [H⁺] = 2.1\(\times\)10^-8 mol/L?

Q4) Find all real solutions of the given equation. (x² + 2x)² - 5(x² + 2x) - 24 = 0

Q5) Find four consecutive integers whose sum is 138.

Q6) Which, if any, of the ordered pairs (1, 2), (-1, 4), (-1, -1), and (5, -3) satisfy the system of inequalities?

x - y > 0

4x² + y² 4

Q7) Write ln(x⁵) - ln(x²) as a single logarithm.

Page 35

To view all questions and flashcards with answers, click on the resource link above.

Chapter 18: Algebraic Equation Practice

Available Study Resources on Quizplus for this Chatper

50 Verified Questions

50 Flashcards

Source URL: https://quizplus.com/quiz/78295

Sample Questions

Q1) If $700 is deposited in an account paying 9% compounded continuously, then what amount will be in the account after 5 years?

A) $1,097.82

B) $960.06

C) $2,157.15

D) $1,262.74

Q2) Justin is shopping for new tires for his 4-wheel-drive truck. In addition to the price of the tires, there is a 7% sales tax plus a state-mandated $40 fee for disposing of his old tires. If Justin has determined that he will spend less than $301.08 total, then what is the price range he can spend on the tire set?

A) $244 or more

B) Less than $244

C) Less than $248

D) At least $247

Q3) List all terms of the finite sequence a_n = n + 4 for 1 n 5.

A) 5, 9, 13, 17, 21

B) 4, 5, 6, 7, 8

C) 5, 6, 7, 8, 9

D) 4, 8, 12, 16, 20

To view all questions and flashcards with answers, click on the resource link above.

Page 36