## Overview

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*For courses in Intermediate Algebra.*

*This package includes MyLab Math.*

**Balancing skills and concepts**

*The Lial Developmental Algebra Series uses a teacherly writing style and a careful blend of skills development and conceptual questions to meet the unique needs of the developmental math student. The author team takes advantage of experiences in the classroom and an editing eye to offer one of the most well-rounded series available, written with the developmental learner in mind. In this revision, the team retains their hallmark writing style, and provides new features and resources to optimize student preparedness and conceptual understanding. The Lial program provides students with the perfect balance of skills and concepts for a student-friendly approach to math.*

**Personalize learning with MyLab Math**

*MyLab™ Math is the teaching and learning platform that empowers you to reach every student. By combining trusted author content with digital tools and a flexible platform, MyLab Math personalizes the learning experience and improves results for each student.*

**0135307686 / 9780135307687 Intermediate Algebra Plus MyLab Math with Pearson eText - Access Card Package**

**Package consists of:**

**0134895983 / 9780134895987 Intermediate Algebra****013489684X / 9780134896847 MyLab Math with Pearson eText - Standalone Access Card - for Intermediate Algebra**

## Table of contents

Study Skill 1: Using Your Math Text

Study Skill 2: Reading Your Math Text

Study Skill 3: Taking Lecture Notes

Study Skill 4: Completing Your Homework

Study Skill 5: Using Study Cards

Study Skill 6: Managing Your Time

Study Skill 7: Reviewing a Chapter

Study Skill 8: Taking Math Tests

Study Skill 9: Analyzing Your Test Results

Study Skill 10: Preparing for Your Math Final

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

R.1 Fractions, Decimals, and Percents

R.2 Basic Concepts from Algebra

R.3 Operations on Real Numbers

R.3 Exponents, Roots, and Order of Operations

R.4 Properties of Real Numbers

Chapter R Summary

Chapter R Test

**1. Linear Equations, Inequalities, and Applications**

1.1 Linear Equations in One Variable

1.2 Formulas and Percent

1.3 Applications of Linear Equations

1.4 Further Applications of Linear Equations

Summary Exercises: Applying Problem-Solving Techniques

1.5 Linear Inequalities in One Variable

1.6 Set Operations and Compound Inequalities

1.7 Absolute Value Equations and Inequalities

Summary Exercises: Solving Linear and Absolute Value Equations and Inequalities

Chapter 1 Summary

Chapter 1 Review Exercises

Chapter 1 Mixed Review Exercises

Chapter 1 Test

Chapters R and 1 Cumulative Review Exercises

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

2.1 Linear Equations in Two Variables

Study Skills: Managing Your Time

2.2 The Slope of a Line

2.3 Writing Equations of Lines

Summary Exercises: Finding Slopes and Equations of Lines

2.4 Linear Inequalities in Two Variables

2.5 Introduction to Relations and Functions

2.6 Function Notation and Linear Functions

Chapter 2 Summary

Chapter 2 Review Exercises

Chapter 2 Mixed Review Exercises

Chapter 2 Test

Chapters R–2 Cumulative Review Exercises

**3. Systems of Linear Equations**

3.1 Systems of Linear Equations in Two Variables

3.2 Systems of Linear Equations in Three Variables

3.3 Applications of Systems of Linear Equations

Chapter 3 Summary

Chapter 3 Review Exercises

Chapter 3 Mixed Review Exercises

Chapter 3 Test

Chapters R–3 Cumulative Review Exercises

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

4.1 Integer Exponents

4.2 Scientific Notation

4.3 Adding and Subtracting Polynomials

4.4 Polynomial Functions, Graphs, and Composition

4.5 Multiplying Polynomials

4.6 Dividing Polynomials

Chapter 4 Summary

Chapter 4 Review Exercises

Chapter 4 Mixed Review Exercises

Chapter 4 Test

Chapters R–4 Cumulative Review Exercises

**5. Factoring**

5.1 Greatest Common Factors and Factoring by Grouping

5.2 Factoring Trinomials

5.3 Special Factoring

5.4 A General Approach to Factoring

5.5 Solving Equations by the Zero-Factor Property

Chapter 5 Summary

Chapter 5 Review Exercises

Chapter 5 Mixed Review Exercises

Chapter 5 Test

Chapters R–5 Cumulative Review Exercises

**6. Rational Expressions and Functions**

6.1 Rational Expressions and Functions; Multiplying and Dividing

6.2 Adding and Subtracting Rational Expressions

6.3 Complex Fractions

6.4 Equations with Rational Expressions and Graphs

Summary Exercises: Simplifying Rational Expressions vs. Solving Rational Equations

6.5 Applications of Rational Expressions

6.6 Variation

Chapter 6 Summary

Chapter 6 Review Exercises

Chapter 6 Mixed Review Exercises

Chapter 6 Test

Chapters R–6 Cumulative Review Exercises

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

7.1 Radical Expressions and Graphs

7.2 Rational Exponents

7.3 Simplifying Radicals, the Distance Formula, and Circles

7.4 Adding and Subtracting Radical Expressions

7.5 Multiplying and Dividing Radical Expressions

Summary Exercises: Performing Operations with Radicals and Rational Exponents

7.6 Solving Equations with Radicals

7.7 Complex Numbers

Chapter 7 Summary

Chapter 7 Review Exercises

Chapter 7 Mixed Review Exercises

Chapter 7 Test

Chapters R–7 Cumulative Review Exercises

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

8.1 The Square Root Property and Completing the Square

8.2 The Quadratic Formula

8.3 Equations That Lead to Quadratic Methods

Summary Exercises: Applying Methods for Solving Quadratic Equations

8.4 Formulas and Further Applications

8.5 Graphs of Quadratic Functions

8.6 More about Parabolas and Their Applications

8.7 Polynomial and Rational Inequalities

Chapter 8 Summary

Chapter 8 Review Exercises

Chapter 8 Mixed Review Exercises

Chapter 8 Test

Chapters R–8 Cumulative Review Exercises

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

9.1 Inverse Functions

9.2 Exponential Functions

9.3 Logarithmic Functions

9.4 Properties of Logarithms

9.5 Common and Natural Logarithms

9.6 Exponential and Logarithmic Equations; Further Applications

Chapter 9 Summary

Chapter 9 Review Exercises

Chapter 9 Mixed Review Exercises

Chapter 9 Test

Chapters R–9 Cumulative Review Exercises

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

10.1 Additional Graphs of Functions

10.2 Circles Revisited and Ellipses

10.3 Hyperbolas and Functions Defined by Radicals

10.4 Nonlinear Systems of Equations

10.5 Second-Degree Inequalities and Systems of Inequalities

Chapter 10 Summary

Chapter 10 Review Exercises

Chapter 10 Mixed Review Exercises

Chapter 10 Test

Chapters R-10 Cumulative Review Exercises

**11. Further Topics in Algebra **

11.1 Sequences and Series

11.2 Arithmetic Sequences

11.3 Geometric Sequences

11.4 The Binomial Theorem

Chapter 11 Summary

Chapter 11 Review Exercises

Chapter 11 Mixed Review Exercises

Chapter 11 Test

Chapters R-11 Cumulative Review Exercises

Appendix A: Synthetic Division

Answers to Selected Exercises

Credits

Index

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