Robert Gardner's Precalculus 1 Exercise Solutions

Online Precalculus 1 (Algebra) Solutions to Various Exercises Dr. Bob's Online University
(Not an actual university)
Robert 'Dr. Bob' Gardner

This website includes links to handwritten solutions to various exercises from Michael Sullivan's Precalculus 11th Edition, (Pearson, 2020):

Sullivan's Precalculus book 10th edition

Robert "Dr. Bob" Gardner can be reached by e-mail at: gardnerr@etsu.edu. His office is in Gilbreath Hall, Room 308F on the ETSU campus.

Links to videos on these section can be found on the Online Precalculus 1 (Algebra) Videos webpage.

Appendix A. Review.

SECTION	NOTES	SUPPLEMENTS	EXERCISES
A.1. Algebra Essentials	A.1 Notes	A.1 Supplement A.1 Supplement Print File	Exercises A.1.15, 19, 21 Exercise A.1.49 Exercises A.1.63 and 67 Exercise A.1.79 Exercise A.1.95
A.2. Geometry Essentials	A.2 Notes	A.2 Supplement A.2 Supplement Print File	Exercises A.2.23 and 25 Exercise A.2.45 Exercise A.2.47 Exercise A.2.53
A.3. Polynomials	A.3 Notes	A.3 Supplement A.3 Supplement Print File	Exercises A.3.29, 31 and 33 Exercise A.3.57 Exercise A.3.69 Exercise A.3.101 Exercise A.3.121 Exercise A.3.129
A.4. Synthetic Division	-	-	-
A.5. Rational Expressions	A.5 Notes	A.5 Supplement A.5 Supplement Print File	Exercise A.5.13 Exercise A.5.27 Exercise A.5.35 Exercise A.5.39
A.6. Solving Equations	A.6 Notes	A.6 Supplement A.6 Supplement Print File	Exercises A.6.29 and 31 Exercises A.6.45 and 63 Exercise A.6.85 Exercises A.6.97 and 105
A.7. Complex Numbers; Quadratic Equations in the Complex Number System	A.7 Notes	A.7 Supplement A.7 Supplement Print File	-
A.8. Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications	-	-	-
A.9. Interval Notation; Solving Inequalities	A.9 Notes	A.9 Supplement A.9 Supplement Print File	Exercises A.9.15 and 35 Exercises A.9.63 and 85 Exercises A.9.101 Exercises A.9.103 Exercises A.9.129
A.10. nth Roots; Rational Exponents	A.10 Notes	A.10 Supplement A.10 Supplement Print File	Exercises A.10.53 Exercises A.10.67 Exercises A.10.79 Exercises A.10.123

Chapter 1. Graphs.

SECTION	NOTES	SUPPLEMENTS	EXERCISES
1.1. The Distance and Midpoint Formulas	1.1 Notes	1.1 Supplement 1.1 Supplement Print File	Exercise 1.1.25 Exercise 1.1.49 Exercise 1.1.49 (modified) Exercise 1.1.73
1.2. Graphs of Equations in Two Variables; Intercepts; Symmetry	1.2 Notes	1.2 Supplement 1.2 Supplement Print File	Exercise 1.2.25 Exercise 1.2.49 Exercise 1.2.61 Exercise 1.2.85
1.3. Lines	1.3 Notes	1.3 Supplement 1.3 Supplement Print File	Exercise 1.3.25 Exercise 1.3.33 Exercise 1.3.49 Exercise 1.3.73 Exercise 1.3.105 Exercise 1.3.125 Exercise 1.3.129 Exercise 1.3.137
1.4. Circles	1.4 Notes	1.4 Supplement 1.4 Supplement Print File	Exercise 1.4.17 Exercise 1.4.29 Exercise 1.4.41 Exercise 1.4.53 Exercise 1.4.65

Chapter 2. Functions and Their Graphs.

SECTION	NOTES	SUPPLEMENTS	EXERCISES
2.1. Functions	2.1 Notes	2.1 Supplement 2.1 Supplement Print File	Exercise 2.1.37 Exercise 2.1.57 Exercise 2.1.65 Exercise 2.1.77 Exercise 2.1.83 Exercise 2.1.97 Exercise 2.1.117
2.2. The Graph of a Function	2.2 Notes	2.2 Supplement 2.2 Supplement Print File	Exercise 2.2.25 Exercise 2.2.39
2.3. Properties of Functions	2.3 Notes	2.3 Supplement 2.3 Supplement Print File	Exercise 2.3.29 Exercise 2.3.41 Exercise 2.3.53 Exercise 2.3.73 Exercise 2.3.81
2.4. Library of Functions; Piecewise-defined Functions	2.4 Notes	2.4 Supplement 2.4 Supplement Print File	Exercise 2.4.29 Exercise 2.4.40 Exercise 2.4.41 Exercise 2.4.61
2.5. Graphing Techniques: Transformations	2.5 Notes	2.5 Supplement 2.5 Supplement Print File	Exercises 2.5.21 and 25 Exercise 2.5.31 Exercise 2.5.49 Exercise 2.5.53 Exercise 2.5.79
2.6. Mathematical Models: Building Functions	2.6 Notes	2.6 Supplement 2.6 Supplement Print File	Exercise 2.6.5 Exercise 2.6.9(a,b) Exercise 2.6.17 Exercise 2.6.25

Chapter 3. Linear and Quadratic Functions.

SECTION	NOTES	SUPPLEMENTS	EXERCISES
3.1. Properties of Linear Functions and Linear Models	3.1 Notes	3.1 Supplement 3.1 Supplement Print File	Exercise 3.1.17 Exercise 3.1.29 Exercise 3.1.41 Exercise 3.1.53
3.2. Building Linear Models from Data	-	-	-
3.3. Quadratic Functions and Their Properties	3.3 Notes	3.3 Supplement 3.3 Supplement Print File	Exercise 3.3.25 Exercise 3.3.37 Exercise 3.3.43 Exercise 3.3.71 Exercise 3.3.85
3.4. Build Quadratic Models from Verbal Descriptions and from Data	3.4 Notes	3.4 Supplement 3.4 Supplement Print File	Exercise 3.4.5 Exercise 3.4.9 Exercise 3.4.13
3.5. Inequalities Involving Quadratic Functions	3.5 Notes	3.5 Supplement 3.5 Supplement Print File	Exercise 3.5.17 Exercise 3.5.29 Exercise 3.5.33

Chapter 4. Polynomial and Rational Functions.

SECTION	NOTES	SUPPLEMENTS	EXERCISES
4.1. Polynomial Functions and Models	4.1 Notes	4.1 Supplement 4.1 Supplement Print File	Exercise 4.1.37 Exercise 4.1.49 Exercise 4.1.61 Exercise 4.1.81 Exercise 4.1.85
4.2. Properties of Rational Functions	4.2 Notes	4.2 Supplement 4.2 Supplement Print File	Exercise 4.2.17 Exercise 4.2.21 Exercise 4.2.37 Exercise 4.2.49
4.3. The Graph of a Rational Function	4.3 Notes	4.3 Supplement 4.3 Supplement Print File	Exercise 4.3.29 Exercise 4.3.41 Exercise 4.3.49 Exercise 4.3.61
4.4. Polynomial and Rational Inequalities	4.4 Notes	4.4 Supplement 4.4 Supplement Print File	Exercise 4.4.13 Exercise 4.4.17 Exercise 4.4.37 Exercise 4.4.53
4.5. Polynomial and Rational Inequalities*	4.5 Notes	4.5 Supplement 4.5 Supplement Print File Supplement "Cubic Formula Problems" Print File	Exercise 4.5.21 Exercise 4.5.49 Exercise 4.5.57 Exercise 4.5.61
4.6. Complex Zeros; Fundamental Theorem of Algebra	4.6 Notes	4.6 Supplement 4.6 Supplement Print File	Exercise 4.6.17 Exercise 4.6.25 Exercise 4.6.49 Exercise 4.6.81

*The notes for this material have different section numbers in the 11th Edition of Sullivan (on which the exercises are based) than in the 10th edition (on which the class notes are based).

Chapter 5. Exponential and Logarithmic Functions.

SECTION	NOTES	SUPPLEMENTS	EXERCISES
5.1. Composite Functions	5.1 Notes	5.1 Supplement 5.1 Supplement Print File	Exercise 5.1.33 Exercise 5.1.45 Exercise 5.1.47 Exercise 5.1.61
5.2. One-to-One; Inverse Functions	5.2 Notes	5.2 Supplement 5.2 Supplement Print File	Exercise 5.2.29 Exercise 5.2.37 Exercise 5.2.49 Exercise 5.2.65 Exercise 5.2.89
5.3. Exponential Functions	5.3 Notes	5.3 Supplement 5.3 Supplement Print File	Exercise 5.3.53 Exercise 5.3.61 Exercises 5.3.73, 77, and 81 Exercise 5.3.93 Exercise 5.3.99 Exercise 5.3.113 Exercise 5.3.133
5.4. Logarithmic Functions	5.4 Notes	5.4 Supplement 5.4 Supplement Print File	Exercises 5.4.13, 21, and 29 Exercise 5.4.49 Exercise 5.4.73 Exercise 5.4.85 Exercises 5.4.97, 101, and 105 Exercise 5.4.125
5.5. Properties of Logarithms	5.5 Notes	5.5 Supplement 5.5 Supplement Print File	Exercises 5.5.13, 17, and 25 Exercise 5.5.53 Exercise 5.5.61 Exercise 5.5.93 Exercise 5.5.101 Exercise 5.5.109
5.6. Logarithmic and Exponential Equations	5.6 Notes	5.6 Supplement 5.6 Supplement Print File	Exercise 5.6.25 Exercise 5.6.37 Exercise 5.6.53 Exercise 5.6.65 Exercise 5.6.97 Exercise 5.6.104
5.7. Financial Models	-	-	-
5.8. Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models	5.8 Notes	5.8 Supplement 5.8 Supplement Print File	Exercise 5.8.5 Exercise 5.8.9 Exercise 5.8.10 Exercise 5.8.13 Exercise 5.8.25(b,c)
5.9. Building Exponential, Logarithmic, and Logistic Models from Data	-	-	-

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Last updated: March 23, 2024.