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Cover type: Hardback

Edition: 5TH 06

Copyright: 2006

Publisher: McGraw-Hill Publishing Company

Published: 2006

International: No

Edition: 5TH 06

Copyright: 2006

Publisher: McGraw-Hill Publishing Company

Published: 2006

International: No

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Elementary Algebra, 5th Edition, is designed to provide students with the algebra background needed for further college-level mathematics courses. The unifying theme of the text is the development of the skills necessary for solving equations and inqualities, followed by the application of those skills to solving applied problems.

**Chapter 1 Real Numbers and Their Properties**

1.1 The Real Numbers

1.2 Fractions

1.3 Addition and Subtraction of Real Numbers

1.4 Multiplication and Division of Real Numbers

1.5 Exponential Expressions and the Order of Operations

1.6 Algebraic Expressions

1.7 Properties of the Real Numbers

1.8 Using the Properties to Simplify Expressions

**Chapter 2 Linear Equations and Inequalities in One Variable**

2.1 The Addition and Multiplication Properties of Equality

2.2 Solving General Linear Equations

2.3 More Equations

2.4 Formulas

2.5 Translating Verbal Expressions into Algebraic Expressions

2.6 Number, Geometric, and Uniform Motion Applications

2.7 Discount, Investment, and Mixture Applications

2.8 Inequalities

2.9 Solving Inequalities and Applications

**Chapter 3 Linear Equations in Two Variables and Their Graphs**

3.1 Graphing Lines in the Coordinate Plane

3.2 Slope

3.3 Equations of Lines in Slope-Intercept Form

3.4 The Point-Slope Form

3.5 Variation

**Chapter 4 Systems of Linear Equations and Inequalities**

4.1 The Graphing Method

4.2 The Substitution Method

4.3 The Addition Method

4.4 Graphing Linear Inequalities in Two Variables

4.5 Graphing Systems of Linear Inequalities

**Chapter 5 Polynomials and Exponents**

5.1 Addition and Subtraction of Polynomials

5.2 Multiplication of Polynomials

5.3 Multiplication of Binomials

5.4 Special Products

5.5 Division of Polynomials

5.6 Nonnegative Integral Exponents

5.7 Negative Exponents and Scientific Notation

**Chapter 6 Factoring**

6.1 Factoring Out Common Factors

6.2 Factoring the Special Products and Factoring by Grouping

6.3 Factoring ax^2 + bx + c with a = 1

6.4 Factoring ax^2 + bx + c with a not = to 1

6.5 Factoring a Difference or Sum of Two Cubes

6.6 Solving Quadratic Equations by Factoring

**Chapter 7 Rational Expressions**

7.1 Reducing Rational Expressions

7.2 Multiplication and Division

7.3 Finding the Least Common Denominator

7.4 Addition and Subtraction

7.5 Complex Fractions

7.6 Solving Equations with Rational Expressions

7.7 Applications of Ratios and Proportions

7.8 Applications of Rational Expressions

**Chapter 8 Powers and Roots**

8.1 Roots, Radicals, and Rules

8.2 Simplifying Square Roots

8.3 Operations with Radicals

8.4 Solving Equations with Radicals and Exponents

8.5 Fractional Exponents

**Chapter 9 Quadratic Equations, Parabolas, and Functions**

9.1 The Square Root Property and Factoring

9.2 Completing the Square

9.3 The Quadratic Formula

9.4 Applications of Quadratic Equations

9.5 Complex Numbers

9.6 Graphing Parabolas

9.7 Introduction to Functions

9.8 Combining Functions

Appendix A Geometry Review Exercises

Appendix B Sets

Appendix C Final Exam Review

About the Authors

Summary

Elementary Algebra, 5th Edition, is designed to provide students with the algebra background needed for further college-level mathematics courses. The unifying theme of the text is the development of the skills necessary for solving equations and inqualities, followed by the application of those skills to solving applied problems.

Table of Contents

**Chapter 1 Real Numbers and Their Properties**

1.1 The Real Numbers

1.2 Fractions

1.3 Addition and Subtraction of Real Numbers

1.4 Multiplication and Division of Real Numbers

1.5 Exponential Expressions and the Order of Operations

1.6 Algebraic Expressions

1.7 Properties of the Real Numbers

1.8 Using the Properties to Simplify Expressions

**Chapter 2 Linear Equations and Inequalities in One Variable**

2.1 The Addition and Multiplication Properties of Equality

2.2 Solving General Linear Equations

2.3 More Equations

2.4 Formulas

2.5 Translating Verbal Expressions into Algebraic Expressions

2.6 Number, Geometric, and Uniform Motion Applications

2.7 Discount, Investment, and Mixture Applications

2.8 Inequalities

2.9 Solving Inequalities and Applications

**Chapter 3 Linear Equations in Two Variables and Their Graphs**

3.1 Graphing Lines in the Coordinate Plane

3.2 Slope

3.3 Equations of Lines in Slope-Intercept Form

3.4 The Point-Slope Form

3.5 Variation

**Chapter 4 Systems of Linear Equations and Inequalities**

4.1 The Graphing Method

4.2 The Substitution Method

4.3 The Addition Method

4.4 Graphing Linear Inequalities in Two Variables

4.5 Graphing Systems of Linear Inequalities

**Chapter 5 Polynomials and Exponents**

5.1 Addition and Subtraction of Polynomials

5.2 Multiplication of Polynomials

5.3 Multiplication of Binomials

5.4 Special Products

5.5 Division of Polynomials

5.6 Nonnegative Integral Exponents

5.7 Negative Exponents and Scientific Notation

**Chapter 6 Factoring**

6.1 Factoring Out Common Factors

6.2 Factoring the Special Products and Factoring by Grouping

6.3 Factoring ax^2 + bx + c with a = 1

6.4 Factoring ax^2 + bx + c with a not = to 1

6.5 Factoring a Difference or Sum of Two Cubes

6.6 Solving Quadratic Equations by Factoring

**Chapter 7 Rational Expressions**

7.1 Reducing Rational Expressions

7.2 Multiplication and Division

7.3 Finding the Least Common Denominator

7.4 Addition and Subtraction

7.5 Complex Fractions

7.6 Solving Equations with Rational Expressions

7.7 Applications of Ratios and Proportions

7.8 Applications of Rational Expressions

**Chapter 8 Powers and Roots**

8.1 Roots, Radicals, and Rules

8.2 Simplifying Square Roots

8.3 Operations with Radicals

8.4 Solving Equations with Radicals and Exponents

8.5 Fractional Exponents

**Chapter 9 Quadratic Equations, Parabolas, and Functions**

9.1 The Square Root Property and Factoring

9.2 Completing the Square

9.3 The Quadratic Formula

9.4 Applications of Quadratic Equations

9.5 Complex Numbers

9.6 Graphing Parabolas

9.7 Introduction to Functions

9.8 Combining Functions

Appendix A Geometry Review Exercises

Appendix B Sets

Appendix C Final Exam Review

About the Authors

Publisher Info

Publisher: McGraw-Hill Publishing Company

Published: 2006

International: No

Published: 2006

International: No

**Chapter 1 Real Numbers and Their Properties**

1.1 The Real Numbers

1.2 Fractions

1.3 Addition and Subtraction of Real Numbers

1.4 Multiplication and Division of Real Numbers

1.5 Exponential Expressions and the Order of Operations

1.6 Algebraic Expressions

1.7 Properties of the Real Numbers

1.8 Using the Properties to Simplify Expressions

**Chapter 2 Linear Equations and Inequalities in One Variable**

2.1 The Addition and Multiplication Properties of Equality

2.2 Solving General Linear Equations

2.3 More Equations

2.4 Formulas

2.5 Translating Verbal Expressions into Algebraic Expressions

2.6 Number, Geometric, and Uniform Motion Applications

2.7 Discount, Investment, and Mixture Applications

2.8 Inequalities

2.9 Solving Inequalities and Applications

**Chapter 3 Linear Equations in Two Variables and Their Graphs**

3.1 Graphing Lines in the Coordinate Plane

3.2 Slope

3.3 Equations of Lines in Slope-Intercept Form

3.4 The Point-Slope Form

3.5 Variation

**Chapter 4 Systems of Linear Equations and Inequalities**

4.1 The Graphing Method

4.2 The Substitution Method

4.3 The Addition Method

4.4 Graphing Linear Inequalities in Two Variables

4.5 Graphing Systems of Linear Inequalities

**Chapter 5 Polynomials and Exponents**

5.1 Addition and Subtraction of Polynomials

5.2 Multiplication of Polynomials

5.3 Multiplication of Binomials

5.4 Special Products

5.5 Division of Polynomials

5.6 Nonnegative Integral Exponents

5.7 Negative Exponents and Scientific Notation

**Chapter 6 Factoring**

6.1 Factoring Out Common Factors

6.2 Factoring the Special Products and Factoring by Grouping

6.3 Factoring ax^2 + bx + c with a = 1

6.4 Factoring ax^2 + bx + c with a not = to 1

6.5 Factoring a Difference or Sum of Two Cubes

6.6 Solving Quadratic Equations by Factoring

**Chapter 7 Rational Expressions**

7.1 Reducing Rational Expressions

7.2 Multiplication and Division

7.3 Finding the Least Common Denominator

7.4 Addition and Subtraction

7.5 Complex Fractions

7.6 Solving Equations with Rational Expressions

7.7 Applications of Ratios and Proportions

7.8 Applications of Rational Expressions

**Chapter 8 Powers and Roots**

8.1 Roots, Radicals, and Rules

8.2 Simplifying Square Roots

8.3 Operations with Radicals

8.4 Solving Equations with Radicals and Exponents

8.5 Fractional Exponents

**Chapter 9 Quadratic Equations, Parabolas, and Functions**

9.1 The Square Root Property and Factoring

9.2 Completing the Square

9.3 The Quadratic Formula

9.4 Applications of Quadratic Equations

9.5 Complex Numbers

9.6 Graphing Parabolas

9.7 Introduction to Functions

9.8 Combining Functions

Appendix A Geometry Review Exercises

Appendix B Sets

Appendix C Final Exam Review

About the Authors