# College Algebra, 11th edition

Published by Pearson (April 27th 2019) - Copyright © 2020

11th edition

## Overview

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*For courses in College Algebra.*

*This package includes MyLab Math.*

**Prepare. Practice. Review.**

Michael Sullivan’s time-tested approach focuses students on the fundamental skills they need for the course: *preparing *for class, *practicing* with homework, and *reviewing* the concepts. The **11th Edition **continues to evolve to meet the needs of today’s students.

This series prepares and supports students with access to help, where and when they require it. The hallmark Sullivan cycle of **continuous preparation and retention **— along with the high-quality exercises that Sullivan texts are known for — gives students the reinforcement they need.

**Personalize learning with MyLab Math **

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**0135240816 / 9780135240816 College Algebra Plus MyLab with eText - Access Card Package, 11/e**

**Package consists of:**

**0135163048 / 9780135163047 College Algebra****0135189845 / 9780135189849 MyLab Math with Pearson eText - Standalone Access Card for College Algebra**

## Table of contents

**R. Review**

R.1 Real Numbers

R.2 Algebra Essentials

R.3 Geometry Essentials

R.4 Polynomials

R.5 Factoring Polynomials

R.6 Synthetic Division

R.7 Rational Expressions

R.8nth Roots; Rational Exponents

**1. Equations and Inequalities**

1.1 Linear EquationsChapter 1 Review, Test, and Projects

1.2 Quadratic Equations

1.3 Complex Numbers; Quadratic Equations in the Complex Number System

1.4 Radical Equations; Equations Quadratic in Form; Factorable Equations

1.5 Solving Inequalities

1.6 Equations and Inequalities Involving Absolute Value

1.7 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications

**2. Graphs**

2.1 The Distance and Midpoint FormulasChapter 2 Review, Test, and Projects

2.2 Graphs of Equations in Two Variables; Intercepts; Symmetry

2.3 Lines

2.4 Circles

2.5 Variation

**3. Functions and Their Graphs**

3.1 FunctionsChapter 3 Review, Test, and Projects

3.2 The Graph of a Function

3.3 Properties of Functions

3.4 Library of Functions; Piecewise-defined Functions

3.5 Graphing Techniques: Transformations

3.6 Mathematical Models: Building Functions

4.1 Properties of Linear Functions and Linear ModelsChapter 4 Review, Test, and Projects

4.2 Building Linear Models from Data

4.3 Quadratic Functions and Their Properties

4.4 Build Quadratic Models from Verbal Descriptions and from Data

4.5 Inequalities Involving Quadratic Functions

**5. Polynomial and Rational Functions**

5.1 Polynomial FunctionsChapter 5 Review, Test, and Projects

5.2 Graphing Polynomials Functions; Models

5.3 Properties of Rational Functions

5.4 The Graph of a Rational Function

5.5 Polynomial and Rational Inequalities

5.6 The Real Zeros of a Polynomial Function

**6. Exponential and Logarithmic Functions**

6.1 Composite FunctionsChapter 6 Review, Test, and Projects

6.2 One-to-One Functions; Inverse Functions

6.3 Exponential Functions

6.4 Logarithmic Functions

6.5 Properties of Logarithms

6.6 Logarithmic and Exponential Equations

6.7 Financial Models

6.8 Exponential Growth and Decay Models; Newton’s Law; Logistic Growth and Decay Models

6.9 Building Exponential, Logarithmic, and Logistic Models from Data

**7. Analytic Geometry**

7.1 ConicsChapter 7 Review, Test, and Projects

7.2 The Parabola

7.3 The Ellipse

7.4 The Hyperbola

**8. Systems of Equations and Inequalities**

8.1 Systems of Linear Equations: Substitution and EliminationChapter 8 Review, Test, and Projects

8.2 Systems of Linear Equations: Matrices

8.3 Systems of Linear Equations: Determinants

8.4 Matrix Algebra

8.5 Partial Fraction Decomposition

8.6 Systems of Nonlinear Equations

8.7 Systems of Inequalities

8.8 Linear Programming

**9. Sequences; Induction; the Binomial Theorem**

9.1 SequencesChapter 9 Review, Test, and Projects

9.2 Arithmetic Sequences

9.3 Geometric Sequences; Geometric Series

9.4 Mathematical Induction

9.5 The Binomial Theorem

**10. Counting and Probability**

10.1 CountingChapter 10 Review, Test, and Projects

10.2 Permutations and Combinations

10.3 Probability

**Appendix: Graphing Utilities**

A.1 The Viewing Rectangle

A.2 Using a Graphing Utility to Graph Equations

A.3 Using a Graphing Utility to Locate Intercepts and Check for Symmetry

A.4 Using a Graphing Utility to Solve Equations

A.5 Square Screens

A.6 Using a Graphing Utility to Graph Inequalities

A.7 Using a Graphing Utility to Solve Systems of Linear Equations

Credits

Index

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