## Description

Beecher, Penna, and Bittinger’s **College Algebra **is known for enabling students to “see the math” through its focus on visualization and early introduction to functions. With the **Fourth Edition**, the authors continue to innovate by incorporating more ongoing review to help students develop their understanding and study effectively. Mid-chapter Review exercise sets have been added to give students practice in synthesizing the concepts, and new Study Summaries provide built-in tools to help them prepare for tests. The MyMathLab course (access kit required) has been expanded so that the online content is even more integrated with the text’s approach, with the addition of Vocabulary, Synthesis, and Mid-chapter Review exercises from the text as well as example-based videos created by the authors.

## Table of Contents

**R. Basic Concepts of Algebra**

R.1 The Real-Number System

R.2 Integer Exponents, Scientific Notation, and Order of Operations

R.3 Addition, Subtraction, and Multiplication of Polynomials

R.4 Factoring

R.5 The Basics of Equation Solving

R.6 Rational Expressions

R.7 Radical Notation and Rational Exponents

Study Guide

Review Exercises

Chapter Test

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

1.1 Introduction to Graphing

1.2 Functions and Graphs

1.3 Linear Functions, Slope, and Applications

Visualizing the Graph

Mid-Chapter Mixed Review

1.4 Equations of Lines and Modeling

1.5 Linear Equations, Functions, Zeros, and Applications

1.6 Solving Linear Inequalities

Study Guide

Review Exercises

Chapter Test

**2. More on Functions**

2.1 Increasing, Decreasing, and Piecewise Functions; Applications

2.2 The Algebra of Functions

2.3 The Composition of Functions

2.4 Symmetry and Transformations

Visualizing the Graph

2.5 Variation and Applications

Study Guide

Review Exercises

Chapter Test

**3. Quadratic Functions and Equations; Inequalities**

3.1 The Complex Numbers

3.2 Quadratic Equations, Functions, Zeros, and Models

3.3 Analyzing Graphs of Quadratic Functions

Visualizing the Graph

Mid-Chapter Mixed Review

3.4 Solving Rational Equations and Radical Equations

3.5 Solving Linear Inequalities

Study Guide

Review Exercises

Chapter Test

**4. Polynomial and Rational Functions**

4.1 Polynomial Functions and Modeling

4.2 Graphing Polynomial Functions

Visualizing the Graph

4.3 Polynomial Division; The Remainder and Factor Theorems

Mid-Chapter Mixed Review

4.4 Theorems about Zeros of Polynomial Functions

4.5 Rational Functions

Visualizing the Graph

4.6 Polynomial and Rational Inequalities

Study Guide

Review Exercises

Chapter Test

**5. Exponential and Logarithmic Functions**

5.1 Inverse Functions

5.2 Exponential Functions and Graphs

5.3 Logarithmic Functions and Graphs

5.4 Properties of Logarithmic Functions

5.5 Solving Exponential Equations and Logarithmic Equations

5.6 Applications and Models: Growth and Decay; Compound Interest

Study Guide

Review Exercises

Chapter Test

**6. Systems of Equations and Matrices**

6.1 Systems of Equations in Two Variables

Visualizing the Graph

6.2 Systems of Equations in Three Variables

6.3 Matrices and Systems of Equations

6.4 Matrix Operations

Mid-Chapter Mixed Review

6.5 Inverses of Matrices

6.6 Determinants and Cramer’s Rule

6.7 Systems of Inequalities and Linear Programming

6.8 Partial Fractions

Study Guide

Review Exercises

Chapter Test

**7. Conic Sections**

7.1 The Parabola

7.2 The Circle and the Ellipse

Mid-Chapter Mixed Review

7.3 The Hyperbola

7.4 Nonlinear Systems of Equations and Inequalities

Visualizing the Graph

Study Guide

Review Exercises

Chapter Test

**8. Sequences, Series, and Combinatorics**

8.1 Sequences and Series

8.2 Arithmetic Sequences and Series

8.3 Geometric Sequences and Series

Visualizing the Graph

8.4 Mathematical Induction

Mid-Chapter Mixed Review

8.5 Combinatorics: Permutations

8.6 Combinatorics: Combinations

8.7 The Binomial Theorem

8.8 Probability

Study Guide

Review Exercises

Chapter Test

Photo Credits

Answers

Index

Index of Applications

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