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by Margaret Lial, John Hornsby and Terry McGinnis

Cover type: PaperbackEdition: 8TH 06

Copyright: 2006

Publisher: Addison-Wesley Longman, Inc.

Published: 2006

International: No

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Lial/Hornsby/McGinnis's Introductory Algebra, 8e, gives students the necessary tools to succeed in developmental math courses and prepares them for future math courses and the rest of their lives. The Lial developmental team creates a pattern for success by emphasizing problem-solving skills, vocabulary comprehension, real-world applications, and strong exercise sets. In keeping with its proven track record, this revision includesan effective new design, many new exercises and applications, and increased Summary Exercises to enhance comprehension and challenge students' knowledge of the subject matter.

List of Applications

List of Focus on Real-Data Applications

Preface

Feature Walk-Through

An Introduction to Scientific Calculators

To the Student

Diagnostic Pretest

**Chapter R Prealgebra Review**

R.1 Fractions

R.2 Decimals and Percents

**Chapter 1 The Real Number System**

1.1 Exponents, Order of Operations, and Inequality

1.2 Variables, Expressions, and Equations

1.3 Real Numbers and the Number Line

1.4 Adding Real Numbers

1.5 Subtracting Real Numbers

1.6 Multiplying and Dividing Real Numbers

Summary Exercises on Operations with Real Numbers

1.7 Properties of Real Numbers

1.8 Simplifying Expressions

Summary Review Exercises Test

**Chapter 2 Equations, Inequalities, and Applications**

2.1 The Addition Property of Equality

2.2 The Multiplication Property of Equality

2.3 More on Solving Linear Equations

Summary Exercises on Solving Linear Equations

2.4 An Introduction to Applications of Linear Equations

2.5 Formulas and Applications from Geometry

2.6 Ratio, Proportion, and Percent

Summary Exercises on Solving Applied Problems

2.7 Solving Linear Inequalities

Summary Review Exercises Test Cumulative Review Exercises

**Chapter 3 Graphs of Linear Equations and Inequalities in Two Variables**

3.1 Reading Graphs; Linear Equations in Two Variables

3.2 Graphing Linear Equations in Two Variables

3.3 Slope of a Line

3.4 Equations of Lines

Summary Exercises on Graphing Linear Equations

3.5 Graphing Linear Inequalities in Two Variables

Summary Review Exercises Test Cumulative Review Exercises

**Chapter 4 Systems of Equations and Inequalities**

4.1 Solving Systems of Linear Equations by Graphing

4.2 Solving Systems of Linear Equations by Substitution

4.3 Solving Systems of Linear Equations by Elimination

Summary Exercises on Solving Systems of Linear Equations

4.4 Applications of Linear Systems

4.5 Solving Systems of Linear Inequalities

Summary Review Exercises Test Cumulative Review Exercises

**Chapter 5 Exponents and Polynomials**

5.1 Adding and Subtracting Polynomials

5.2 The Product Rule and Power Rules for Exponents

5.3 Multiplying Polynomials

5.4 Special Products

5.5 Integer Exponents and the Quotient Rule

Summary Exercises on the Rules for Exponents

5.6 Dividing a Polynomial by a Monomial

5.7 The Quotient of Two Polynomials

5.8 An Application of Exponents: Scientific Notation

Summary Review Exercises Test Cumulative Review Exercises

**Chapter 6 Factoring and Applications**

6.1 Factors; The Greatest Common Factor

6.2 Factoring Trinomials

6.3 Factoring Trinomials by Grouping

6.4 Factoring Trinomials Using FOIL

6.5 Special Factoring Techniques

Summary Exercises on Factoring

6.6 Solving Quadratic Equations by Factoring

6.7 Applications of Quadratic Equations

Summary Review Exercises Test Cumulative Review Exercises

**Chapter 7 Rational Expressions and Applications**

7.1 The Fundamental Property of Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

7.3 Least Common Denominators

7.4 Adding and Subtracting Rational Expressions

7.5 Complex Fractions

7.6 Solving Equations with Rational Expressions

Summary Exercises on Operations and Equations with Rational Expressions

7.7 Applications of Rational Expressions

7.8 Variation

Summary Review Exercises Test Cumulative Review Exercises

**Chapter 8 Roots and Radicals**

8.1 Evaluating Roots

8.2 Multiplying, Dividing, and Simplifying Radicals

8.3 Adding and Subtracting Radicals

8.4 Rationalizing the Denominator

8.5 More Simplifying and Operations with Radicals

Summary Exercises on Operations with Radicals

8.6 Solving Equations with Radicals

Summary Review Exercises Test Cumulative Review Exercises

**Chapter 9 Quadratic Equations**

9.1 Solving Quadratic Equations by the Square Root Property

9.2 Solving Quadratic Equations by Completing the Square

9.3 Solving Quadratic Equations by the Quadratic Formula

Summary Exercises on Solving Quadratic Equations

9.4 Graphing Quadratic Equations

9.5 Introduction to Functions

Summary Review Exercises Test Cumulative Review Exercises

Appendix A Strategies for Problem Solving

Appendix B Sets

Appendix C Mean, Median, and Mode

Appendix D Factoring Sums and Differences of Cubes

Answers to Selected Exercises

Index

Videotape Index

Summary

Lial/Hornsby/McGinnis's Introductory Algebra, 8e, gives students the necessary tools to succeed in developmental math courses and prepares them for future math courses and the rest of their lives. The Lial developmental team creates a pattern for success by emphasizing problem-solving skills, vocabulary comprehension, real-world applications, and strong exercise sets. In keeping with its proven track record, this revision includesan effective new design, many new exercises and applications, and increased Summary Exercises to enhance comprehension and challenge students' knowledge of the subject matter.

Table of Contents

List of Applications

List of Focus on Real-Data Applications

Preface

Feature Walk-Through

An Introduction to Scientific Calculators

To the Student

Diagnostic Pretest

**Chapter R Prealgebra Review**

R.1 Fractions

R.2 Decimals and Percents

**Chapter 1 The Real Number System**

1.1 Exponents, Order of Operations, and Inequality

1.2 Variables, Expressions, and Equations

1.3 Real Numbers and the Number Line

1.4 Adding Real Numbers

1.5 Subtracting Real Numbers

1.6 Multiplying and Dividing Real Numbers

Summary Exercises on Operations with Real Numbers

1.7 Properties of Real Numbers

1.8 Simplifying Expressions

Summary Review Exercises Test

**Chapter 2 Equations, Inequalities, and Applications**

2.1 The Addition Property of Equality

2.2 The Multiplication Property of Equality

2.3 More on Solving Linear Equations

Summary Exercises on Solving Linear Equations

2.4 An Introduction to Applications of Linear Equations

2.5 Formulas and Applications from Geometry

2.6 Ratio, Proportion, and Percent

Summary Exercises on Solving Applied Problems

2.7 Solving Linear Inequalities

Summary Review Exercises Test Cumulative Review Exercises

**Chapter 3 Graphs of Linear Equations and Inequalities in Two Variables**

3.1 Reading Graphs; Linear Equations in Two Variables

3.2 Graphing Linear Equations in Two Variables

3.3 Slope of a Line

3.4 Equations of Lines

Summary Exercises on Graphing Linear Equations

3.5 Graphing Linear Inequalities in Two Variables

Summary Review Exercises Test Cumulative Review Exercises

**Chapter 4 Systems of Equations and Inequalities**

4.1 Solving Systems of Linear Equations by Graphing

4.2 Solving Systems of Linear Equations by Substitution

4.3 Solving Systems of Linear Equations by Elimination

Summary Exercises on Solving Systems of Linear Equations

4.4 Applications of Linear Systems

4.5 Solving Systems of Linear Inequalities

Summary Review Exercises Test Cumulative Review Exercises

**Chapter 5 Exponents and Polynomials**

5.1 Adding and Subtracting Polynomials

5.2 The Product Rule and Power Rules for Exponents

5.3 Multiplying Polynomials

5.4 Special Products

5.5 Integer Exponents and the Quotient Rule

Summary Exercises on the Rules for Exponents

5.6 Dividing a Polynomial by a Monomial

5.7 The Quotient of Two Polynomials

5.8 An Application of Exponents: Scientific Notation

Summary Review Exercises Test Cumulative Review Exercises

**Chapter 6 Factoring and Applications**

6.1 Factors; The Greatest Common Factor

6.2 Factoring Trinomials

6.3 Factoring Trinomials by Grouping

6.4 Factoring Trinomials Using FOIL

6.5 Special Factoring Techniques

Summary Exercises on Factoring

6.6 Solving Quadratic Equations by Factoring

6.7 Applications of Quadratic Equations

Summary Review Exercises Test Cumulative Review Exercises

**Chapter 7 Rational Expressions and Applications**

7.1 The Fundamental Property of Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

7.3 Least Common Denominators

7.4 Adding and Subtracting Rational Expressions

7.5 Complex Fractions

7.6 Solving Equations with Rational Expressions

Summary Exercises on Operations and Equations with Rational Expressions

7.7 Applications of Rational Expressions

7.8 Variation

Summary Review Exercises Test Cumulative Review Exercises

**Chapter 8 Roots and Radicals**

8.1 Evaluating Roots

8.2 Multiplying, Dividing, and Simplifying Radicals

8.3 Adding and Subtracting Radicals

8.4 Rationalizing the Denominator

8.5 More Simplifying and Operations with Radicals

Summary Exercises on Operations with Radicals

8.6 Solving Equations with Radicals

Summary Review Exercises Test Cumulative Review Exercises

**Chapter 9 Quadratic Equations**

9.1 Solving Quadratic Equations by the Square Root Property

9.2 Solving Quadratic Equations by Completing the Square

9.3 Solving Quadratic Equations by the Quadratic Formula

Summary Exercises on Solving Quadratic Equations

9.4 Graphing Quadratic Equations

9.5 Introduction to Functions

Summary Review Exercises Test Cumulative Review Exercises

Appendix A Strategies for Problem Solving

Appendix B Sets

Appendix C Mean, Median, and Mode

Appendix D Factoring Sums and Differences of Cubes

Answers to Selected Exercises

Index

Videotape Index

Publisher Info

Publisher: Addison-Wesley Longman, Inc.

Published: 2006

International: No

Published: 2006

International: No

List of Applications

List of Focus on Real-Data Applications

Preface

Feature Walk-Through

An Introduction to Scientific Calculators

To the Student

Diagnostic Pretest

**Chapter R Prealgebra Review**

R.1 Fractions

R.2 Decimals and Percents

**Chapter 1 The Real Number System**

1.1 Exponents, Order of Operations, and Inequality

1.2 Variables, Expressions, and Equations

1.3 Real Numbers and the Number Line

1.4 Adding Real Numbers

1.5 Subtracting Real Numbers

1.6 Multiplying and Dividing Real Numbers

Summary Exercises on Operations with Real Numbers

1.7 Properties of Real Numbers

1.8 Simplifying Expressions

Summary Review Exercises Test

**Chapter 2 Equations, Inequalities, and Applications**

2.1 The Addition Property of Equality

2.2 The Multiplication Property of Equality

2.3 More on Solving Linear Equations

Summary Exercises on Solving Linear Equations

2.4 An Introduction to Applications of Linear Equations

2.5 Formulas and Applications from Geometry

2.6 Ratio, Proportion, and Percent

Summary Exercises on Solving Applied Problems

2.7 Solving Linear Inequalities

Summary Review Exercises Test Cumulative Review Exercises

**Chapter 3 Graphs of Linear Equations and Inequalities in Two Variables**

3.1 Reading Graphs; Linear Equations in Two Variables

3.2 Graphing Linear Equations in Two Variables

3.3 Slope of a Line

3.4 Equations of Lines

Summary Exercises on Graphing Linear Equations

3.5 Graphing Linear Inequalities in Two Variables

Summary Review Exercises Test Cumulative Review Exercises

**Chapter 4 Systems of Equations and Inequalities**

4.1 Solving Systems of Linear Equations by Graphing

4.2 Solving Systems of Linear Equations by Substitution

4.3 Solving Systems of Linear Equations by Elimination

Summary Exercises on Solving Systems of Linear Equations

4.4 Applications of Linear Systems

4.5 Solving Systems of Linear Inequalities

Summary Review Exercises Test Cumulative Review Exercises

**Chapter 5 Exponents and Polynomials**

5.1 Adding and Subtracting Polynomials

5.2 The Product Rule and Power Rules for Exponents

5.3 Multiplying Polynomials

5.4 Special Products

5.5 Integer Exponents and the Quotient Rule

Summary Exercises on the Rules for Exponents

5.6 Dividing a Polynomial by a Monomial

5.7 The Quotient of Two Polynomials

5.8 An Application of Exponents: Scientific Notation

Summary Review Exercises Test Cumulative Review Exercises

**Chapter 6 Factoring and Applications**

6.1 Factors; The Greatest Common Factor

6.2 Factoring Trinomials

6.3 Factoring Trinomials by Grouping

6.4 Factoring Trinomials Using FOIL

6.5 Special Factoring Techniques

Summary Exercises on Factoring

6.6 Solving Quadratic Equations by Factoring

6.7 Applications of Quadratic Equations

Summary Review Exercises Test Cumulative Review Exercises

**Chapter 7 Rational Expressions and Applications**

7.1 The Fundamental Property of Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

7.3 Least Common Denominators

7.4 Adding and Subtracting Rational Expressions

7.5 Complex Fractions

7.6 Solving Equations with Rational Expressions

Summary Exercises on Operations and Equations with Rational Expressions

7.7 Applications of Rational Expressions

7.8 Variation

Summary Review Exercises Test Cumulative Review Exercises

**Chapter 8 Roots and Radicals**

8.1 Evaluating Roots

8.2 Multiplying, Dividing, and Simplifying Radicals

8.3 Adding and Subtracting Radicals

8.4 Rationalizing the Denominator

8.5 More Simplifying and Operations with Radicals

Summary Exercises on Operations with Radicals

8.6 Solving Equations with Radicals

Summary Review Exercises Test Cumulative Review Exercises

**Chapter 9 Quadratic Equations**

9.1 Solving Quadratic Equations by the Square Root Property

9.2 Solving Quadratic Equations by Completing the Square

9.3 Solving Quadratic Equations by the Quadratic Formula

Summary Exercises on Solving Quadratic Equations

9.4 Graphing Quadratic Equations

9.5 Introduction to Functions

Summary Review Exercises Test Cumulative Review Exercises

Appendix A Strategies for Problem Solving

Appendix B Sets

Appendix C Mean, Median, and Mode

Appendix D Factoring Sums and Differences of Cubes

Answers to Selected Exercises

Index

Videotape Index