## Table of Contents

Preface

To the Student

**1. Functions, Graphs, and Models; Linear Functions**

Algebra Toolbox

1-1 Functions and Models

1-2 Graphs of Functions

1-3 Linear Functions

1-4 Equations of Lines

Summary

Key Concepts and Formulas

Chapter 1 Skills Check

Chapter 1 Review

Group Activities/Extended Applications

**2. Linear Models, Equations, and Inequalities**

Algebra Toolbox

2-1 Algebraic and Graphical Solution of Linear Equations

2-2 Fitting Lines to Data Points: Modeling Linear Functions

2-3 Systems of Linear Equations in Two Variables

2-4 Solutions of Linear Inequalities

Summary

Key Concepts and Formulas

Chapter 2 Skills Check

Chapter 2 Review

Group Activities/Extended Applications

**3. Quadratic, Piecewise-Defined, and Power Functions**

Algebra Toolbox

3-1 Quadratic Functions; Parabolas

3-2 Solving Quadratic Equations

3-3 Piecewise-Defined Functions and Power Functions

3-4 Quadratic and Power Models

Summary

Key Concepts and Formulas

Chapter 3 Skills Check

Chapter 3 Review

Group Activities/Extended Applications

**4. Additional Topics with Functions**

Algebra Toolbox

4-1 Transformations of Graphs and Symmetry

4-2 Combining Functions; Composite Functions

4-3 One-to-One and Inverse Functions

4-4 Additional Equations and Inequalities

Summary

Key Concepts and Formulas

Chapter 4 Skills Check

Chapter 4 Review

Group Activities/Extended Applications

**5. Exponential and Logarithmic Functions**

Algebra Toolbox

5-1 Exponential Functions

5-2 Logarithmic Functions; Properties of Logarithms

5-3 Exponential and Logarithmic Equations

5-4 Exponential and Logarithmic Models

5-5 Exponential Functions and Investing

5-6 Annuities; Loan Repayment

5-7 Logistic and Gompertz Functions

Summary

Key Concepts and Formulas

Chapter 5 Skills Check

Chapter 5 Review

Group Activities/Extended Applications

**6. Higher-Degree Polynomial and Rational Functions**

Algebra Toolbox

6-1 Higher-Degree Polynomial Functions

6-2 Modeling with Cubic and Quartic Functions

6-3 Solution of Polynomial Equations

6-4 Polynomial Equations Continued; Fundamental Theorem of Algebra

6-5 Rational Functions and Rational Equations

6-6 Polynomial and Rational Inequalities

Summary

Key Concepts and Formulas

Chapter 6 Skills Check

Chapter 6 Review

Group Activities/Extended Applications

**7. Systems of Equations and Matrices**

Algebra Toolbox

7-1 Systems of Linear Equations in Three Variables

7-2 Matrix Solution of Systems of Linear Equations

7-3 Matrix Operations

7-4 Inverse Matrices; Matrix Equations

7-5 Determinants and Cramer’s Rule

7-6 Systems of Nonlinear Equations

Summary

Key Concepts and Formulas

Chapter 7 Skills Check

Chapter 7 Review

Group Activities/Extended Applications

**8. Special Topics in Algebra**

8-1 Systems of Inequalities

8-2 Linear Programming: Graphical Methods

8-3 Sequences and Discrete Functions

8-4 Series

8-5 Preparing for Calculus

8-6 The Binomial Theorem

8-7 Conic Sections: Circles and Parabolas

8-8 Conic Sections: Ellipses and Hyperbolas

Summary

Key Concepts and Formulas

Chapter 8 Skills Check

Chapter 8 Review

Group Activity/ Extended Applications

Appendices

A. Basic Graphing Calculator Guide

B. Basic Guide to Excel 2010 and Excel 2013

Photo Credits

Answers to Selected Exercises

Index