ACADEMIC STUDY MATERIAL
Solutions Manual Algebra and
Trigonometry Enhanced with Graphing
Utilities 9th Edition By Michael
Sullivan
SOLUTIONS MANUAL
Academic Study Resource
,ACADEMIC STUDY MATERIAL ACADEMIC STUDY MATERIAL
ACADEMIC STUDY MATERIAL Algebra and Trigonometry
,ACADEMIC STUDY MATERIAL ACADEMIC STUDY MATERIAL
Table of Contents
0. Review
1. Graphs, Equations, and Inequalities
2. Graphs
3. Functions and Their Graphs
4. Linear and Quadratic Functions
5. Polynomial and Rational Functions
6. Exponential and Logarithmic Functions
7. Trigonometric Functions
8. Analytic Trigonometry
9. Applications of Trigonometric Functions
10. Polar Coordinates; Vectors
11. Analytic Geometry
12. Systems of Equations and Inequalities
13. Sequences; Induction; the Binomial Theorem
14. Counting and Probability
ACADEMIC STUDY MATERIAL Algebra and Trigonometry
, ACADEMIC STUDY MATERIAL ACADEMIC STUDY MATERIAL
Table of Contents
Chapter R Review
R.1 Real Numbers .......................................................................................................................... 1
R.2 Algebra Essentials ................................................................................................................... 5
R.3 Geometry Essentials .............................................................................................................. 11
R.4 Polynomials ........................................................................................................................... 16
R.5 Factoring Polynomials ........................................................................................................... 23
R.6 Synthetic Division ................................................................................................................. 28
R.7 Rational Expressions ............................................................................................................. 30
R.8 nth Roots; Rational Exponents .............................................................................................. 40
Chapter 1 Graphs, Equations, and Inequalities
1.1 Graphing Utilities; Introduction to Graphing Equations ....................................................... 50
1.2 Solving Equations Using a Graphing Utility; Linear and Rational Equations....................... 57
1.3 Quadratic Equations .............................................................................................................. 71
1.4 Complex Numbers; Quadratic Equations in the Complex Number System .......................... 89
1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations;
Factorable Equations ............................................................................................................. 95
1.6 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate
Job Applications .................................................................................................................. 115
1.7 Solving Inequalities ............................................................................................................. 123
Chapter Review ............................................................................................................................ 134
Chapter Test ................................................................................................................................. 144
Chapter Project ............................................................................................................................. 149
Chapter 2 Graphs
2.1 The Distance and Midpoint Formulas ................................................................................. 150
2.2 Intercepts; Symmetry; Graphing Key Equations ................................................................. 162
2.3 Lines .................................................................................................................................... 178
2.4 Circles .................................................................................................................................. 195
2.5 Variation .............................................................................................................................. 208
Chapter Review ............................................................................................................................ 214
Chapter Test ................................................................................................................................. 220
Cumulative Review ...................................................................................................................... 221
Chapter Project ............................................................................................................................. 224
Chapter 3 Functions and Their Graphs
3.1 Functions ............................................................................................................................. 225
3.2 The Graph of a Function ...................................................................................................... 243
3.3 Properties of Functions ........................................................................................................ 252
3.4 Library of Functions; Piecewise-defined Functions ............................................................ 269
3.5 Graphing Techniques: Transformations .............................................................................. 282
3.6 Mathematical Models: Building Functions.......................................................................... 300
Chapter Review ............................................................................................................................ 307
Chapter Test ................................................................................................................................. 314
Cumulative Review ...................................................................................................................... 318
Chapter Projects ........................................................................................................................... 321
Copyright © 2026
ACADEMIC STUDY MATERIAL Algebra and Trigonometry
Solutions Manual Algebra and
Trigonometry Enhanced with Graphing
Utilities 9th Edition By Michael
Sullivan
SOLUTIONS MANUAL
Academic Study Resource
,ACADEMIC STUDY MATERIAL ACADEMIC STUDY MATERIAL
ACADEMIC STUDY MATERIAL Algebra and Trigonometry
,ACADEMIC STUDY MATERIAL ACADEMIC STUDY MATERIAL
Table of Contents
0. Review
1. Graphs, Equations, and Inequalities
2. Graphs
3. Functions and Their Graphs
4. Linear and Quadratic Functions
5. Polynomial and Rational Functions
6. Exponential and Logarithmic Functions
7. Trigonometric Functions
8. Analytic Trigonometry
9. Applications of Trigonometric Functions
10. Polar Coordinates; Vectors
11. Analytic Geometry
12. Systems of Equations and Inequalities
13. Sequences; Induction; the Binomial Theorem
14. Counting and Probability
ACADEMIC STUDY MATERIAL Algebra and Trigonometry
, ACADEMIC STUDY MATERIAL ACADEMIC STUDY MATERIAL
Table of Contents
Chapter R Review
R.1 Real Numbers .......................................................................................................................... 1
R.2 Algebra Essentials ................................................................................................................... 5
R.3 Geometry Essentials .............................................................................................................. 11
R.4 Polynomials ........................................................................................................................... 16
R.5 Factoring Polynomials ........................................................................................................... 23
R.6 Synthetic Division ................................................................................................................. 28
R.7 Rational Expressions ............................................................................................................. 30
R.8 nth Roots; Rational Exponents .............................................................................................. 40
Chapter 1 Graphs, Equations, and Inequalities
1.1 Graphing Utilities; Introduction to Graphing Equations ....................................................... 50
1.2 Solving Equations Using a Graphing Utility; Linear and Rational Equations....................... 57
1.3 Quadratic Equations .............................................................................................................. 71
1.4 Complex Numbers; Quadratic Equations in the Complex Number System .......................... 89
1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations;
Factorable Equations ............................................................................................................. 95
1.6 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate
Job Applications .................................................................................................................. 115
1.7 Solving Inequalities ............................................................................................................. 123
Chapter Review ............................................................................................................................ 134
Chapter Test ................................................................................................................................. 144
Chapter Project ............................................................................................................................. 149
Chapter 2 Graphs
2.1 The Distance and Midpoint Formulas ................................................................................. 150
2.2 Intercepts; Symmetry; Graphing Key Equations ................................................................. 162
2.3 Lines .................................................................................................................................... 178
2.4 Circles .................................................................................................................................. 195
2.5 Variation .............................................................................................................................. 208
Chapter Review ............................................................................................................................ 214
Chapter Test ................................................................................................................................. 220
Cumulative Review ...................................................................................................................... 221
Chapter Project ............................................................................................................................. 224
Chapter 3 Functions and Their Graphs
3.1 Functions ............................................................................................................................. 225
3.2 The Graph of a Function ...................................................................................................... 243
3.3 Properties of Functions ........................................................................................................ 252
3.4 Library of Functions; Piecewise-defined Functions ............................................................ 269
3.5 Graphing Techniques: Transformations .............................................................................. 282
3.6 Mathematical Models: Building Functions.......................................................................... 300
Chapter Review ............................................................................................................................ 307
Chapter Test ................................................................................................................................. 314
Cumulative Review ...................................................................................................................... 318
Chapter Projects ........................................................................................................................... 321
Copyright © 2026
ACADEMIC STUDY MATERIAL Algebra and Trigonometry
