## Overview

*For courses in **Intermediate Algebra.*

**The perfect combination to master concepts: student-friendly writing, well-crafted exercises, and superb support**

The **Lial Series** has helped thousands of students succeed in developmental mathematics by combining clear, concise writing and examples with carefully crafted exercises to support skill development and conceptual understanding. The reader-friendly style delivers help precisely when needed. This revision continues to support students with enhancements in the text and MyLab™ Math course to encourage conceptual understanding beyond skills and procedures. Student-oriented features throughout the text and MyLab Math, including the Relating Concepts exercises, Guided Solutions, Test Your Word Power, and the Lial Video Library, make the Lial series one of the most well-rounded and student-friendly available.

**Also available with MyLab**** Math.**

MyLab^{™} Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts.

**Note: **You are purchasing a standalone product; MyLab™ does not come packaged with this content. Students, if interested in purchasing this title with MyLab, ask your instructor for the correct package ISBN and Course ID. Instructors, contact your Pearson representative for more information.

If you would like to purchase both the physical text and MyLab, search for:

**0134768590 / 9780134768595 Intermediate Algebra Plus MyLab Math -- Title-Specific Access Card Package, 11/e**

**Package consists of: **

- 0134494075 / 9780134494074 Intermediate Algebra
- 013476465X / 9780134764658 MyLab Math with Pearson eText -- Standalone Access Card -- for Intermediate Algebra

## Table of contents

**R. Review of the Real Number System**

**R.1 **Basic Concepts

**R.2 **Operations on Real Numbers

**R.3 **Exponents, Roots, and Order of Operations

**R.4 **Properties of Real Numbers

**Study Skills **Using Your Math Text

**Study Skills **Reading Your Math Text

**1. Linear Equations and Applications**

**1.1 **Linear Equations in One Variable

**Study Skills **Completing Your Homework

**1.2 **Formulas and Percent

**Study Skills **Managing Your Time

**1.3 **Applications of Linear Equations

**Study Skills **Taking Lecture Notes

**1.4 **Further Applications of Linear Equations

*Summary Exercises **Applying Problem-Solving Techniques*

**Study Skills **Reviewing a Chapter

**2. Linear Inequalities and Absolute Value**

**2.1 **Linear Inequalities in One Variable

**Study Skills **Using Study Cards

**2.2 **Set Operations and Compound Inequalities

**Study Skills **Using Study Cards Revisited

**2.3 **Absolute Value Equations and Inequalities

*Summary Exercises **Solving Linear and Absolute Value Equations and Inequalities ***Study Skills **Taking Math Tests

**3. Graphs, Linear Equations and Functions**

**3.1 **The Rectangular Coordinate System

**Study Skills **Analyzing Your Test Results

**3.2 **Slope of a Line

**3.3 **Linear Equations in Two Variables

*Summary Exercises **Finding Slopes and Equations of Lines*

**3.4 **Linear Inequalities in Two Variables

**3.5 **Introduction to Relations and Functions

**3.6 **Function Notation and Linear Functions

**4. Systems of Linear Equations**

**4.1 **Systems of Linear Equations in Two Variables

**Study Skills **Preparing for Your Math Final Exam

**4.2 **Systems of Linear Equations in Three Variables

**4.3 **Applications of Systems of Linear Equations

**5. Exponents, Polynomials, and Polynomial Functions**

**5.1 **Integer Exponents

**5.2 **Scientific Notation

**5.3 **Adding and Subtracting Polynomials

**5.4 **Polynomial Functions and Graphs

**5.5 **Multiplying Polynomials

**5.6 **Dividing Polynomials

**6. Factoring**

**6.1 **Greatest Common Factors and Factoring by Grouping

**6.2 **Factoring Trinomials

**6.3 **Special Factoring

**6.4 **A General Approach to Factoring

**6.5 **Solving Equations Using the Zero-Factor Property

**7. Rational Expressions and Functions**

**7.1 **Rational Expressions and Functions; Multiplying and Dividing

**7.2 **Adding and Subtracting Rational Expressions

**7.3 **Complex Fractions

**7.4 **Equations with Rational Expressions and Graphs

*Summary Exercises **Simplifying Rational Expressions vs. Solving Rational Equations*

**7.5 **Applications of Rational Expressions

**7.6 **Variation

**8. Roots, Radicals, and Root Functions**

**8.1 **Radical Expressions and Graphs

**8.2 **Rational Exponents

**8.3 **Simplifying Radical Expressions

**8.4 **Adding and Subtracting Radical Expressions

**8.5 **Multiplying and Dividing Radical Expressions

*Summary Exercises **Performing Operations with Radicals and Rational Exponents*

**8.6 **Solving Equations with Radicals

**8.7 **Complex Numbers

**9. Quadratic Equations, Inequalities, and Functions**

**9.1 **The Square Root Property and Completing the Square

**9.2 **The Quadratic Formula

**9.3 **Equations Quadratic in Form

*Summary Exercises **Applying Methods for Solving Quadratic Equations*

**9.4 **Formulas and Further Applications

**9.5 **Graphs of Quadratic Functions

**9.6 **More about Parabolas and Their Applications

**9.7 **Polynomial and Rational Inequalities

**10. Inverse, Exponential, and Logarithmic Functions**

**10.1 **Composition of Functions

**10.2 **Inverse Functions

**10.3 **Exponential Functions

**10.4 **Logarithmic Functions

**10.5 **Properties of Logarithms

**10.6 **Common and Natural Logarithms

**10.7 **Exponential and Logarithmic Equations and Their Applications

**11. Nonlinear Functions, Conic Sections, and Nonlinear Systems**

**11.1 **Additional Graphs of Functions

**11.2 **Circles and Ellipses

**11.3 **Hyperbolas and Functions Defined by Radicals

**11.4 **Nonlinear Systems of Equations

**11.5 **Second-Degree Inequalities and Systems of Inequalities

**Appendix A. Review of Fractions**

**Appendix B. Synthetic Division**

**Appendix C. Solving Systems of Linear Equations by Matrix Methods**

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