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Cover type: Hardback

Edition: 4TH 05

Copyright: 2005

Publisher: Prentice Hall, Inc.

Published: 2005

International: No

Edition: 4TH 05

Copyright: 2005

Publisher: Prentice Hall, Inc.

Published: 2005

International: No

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For college-level courses in beginning or elementary algebra.

Elayn Martin-Gay's success as a developmental math author and teacher starts with a strong focus on mastering the basics through well-written explanations, innovative pedagogy and a meaningful, integrated program of learning resources. The revisions provide new pedagogy and resources to build student confidence, help students develop basic skills and understand concepts, and provide the highest level of instructor and adjunct support.

**Martin-Gay's series is well known and widely praised for an unparalleled ability to: **

- Explain key concepts clearly with an excellent, accessible writing style.
- Build problem-solving skills with thoroughly integrated problem solving techniques and explanations.
- Relate to students through real-life applications that are interesting, relevant, and practical.

**Martin-Gay believes that every student can: **

- Test better: The new Chapter Test Prep Video shows Martin-Gay working step-by-step video solutions to every problem in each Chapter Test to enhance mastery of key chapter content.
- Study better: New, integrated Study Skills Reminders reinforce the skills introduced in section 1.1, "Tips for Success in Mathematics" to promote an increased focus on the development of all-important study skills.
- Learn better: The enhanced exercise sets and new pedagogy, like the Concept Checks, mean that students have the tools they need to learn successfully.

Martin-Gay believes that every student can succeed, and with each successive edition enhances her pedagogy and learning resources to provide evermore relevant and useful tools to help students and instructors achieve success.

**1. Real Numbers **

1.1 Tips for Success in Mathematics

1.2 Symbols and Sets of Numbers

1.3 Introduction to Variable Expressions and Equations

1.4 Adding Real Numbers

1.5 Subtracting Real Numbers

1.6 Multiplying Real Numbers

1.7 Dividing Real Numbers

Integrated Review--Operations on Real Numbers

1.8 Properties of Real Numbers

1.9 Reading Graphs

**2. Equations, Inequalities, and Problem Solving **

2.1 Simplifying Expressions

2.2 The Addition Property of Equality

2.3 The Multiplication Property of Equality

2.4 Solving Linear Equations

Integrated Review--Solving Linear Equations

2.5 An Introduction to Problem Solving

2.6 Formulas and Problem Solving

2.7 Further Problem Solving

2.8 Solving Linear Inequalities

**3. Graphing **

3.1 The Rectangular Coordinate System

3.2 Graphing Linear Equations

3.3 Intercepts

3.4 Slope and Rate of Change

Integrated Review--Slope and Graphing Linear Equations

3.5 The Slope. Intercept Form

3.6 The Point. Slope Form

3.7 Introduction to Functions

**4. Systems of Equations **

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 Addition

Integrated Review--Solving Systems of Equations

4.4 Systems of Linear Equations and Problem Solving

4.5 Graphing Linear Inequalities in Two Variables

4.6 Systems of Linear Inequalities

**5. Exponents and Polynomials **

5.1 Exponents

5.2 Adding and Subtracting Polynomials

5.3 Multiplying Polynomials

5.4 Special Products

Integrated Review--Operations on Polynomials

5.6 Negative Exponents and Scientific Notation

5.7 Dividing Polynomials

**6. Factoring Polynomials **

6.1 The Greatest Common Factor

6.2 Factoring Trinomials of the Form x2 + bx + c

6.3 Factoring Trinomials of the Form ax2 + bx + c

6.4 Factoring Binomials

Integrated Review--Choosing a Factoring Strategy

6.5 Solving Quadratic Equations by Factoring

6.6 Quadratic Equations and Problem Solving

**7. Rational Expressions **

7.1 Simplifying Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

7.3 Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator

7.4 Adding and Subtracting Rational Expressions with Unlike Denominators

7.5 Solving Equations Containing Rational Expressions Integrated Review--Summary on Rational Expressions

7.6 Proportions and Problem Solving with Rational Equations

7.7 Direct and Inverse Variation and Problem Solving

7.8 Simplifying Complex Fractions

**8. Roots and Radicals **

8.1 Introduction to Radicals

8.2 Simplifying Radicals

8.3 Adding and Subtracting Radicals

8.4 Multiplying and Dividing Radicals Integrated Review--Simplifying Radicals

8.5 Solving Equations Containing Radicals

8.6 Radical Equations and Problem Solving

8.7 Rational Exponents

**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

Integrated Review--Summary of Methods for Solving Quadratic Equations and Problem Solving

9.4 Complex Solutions of Quadratic Equations

9.5 Graphing Quadratic Equations

Summary

For college-level courses in beginning or elementary algebra.

Elayn Martin-Gay's success as a developmental math author and teacher starts with a strong focus on mastering the basics through well-written explanations, innovative pedagogy and a meaningful, integrated program of learning resources. The revisions provide new pedagogy and resources to build student confidence, help students develop basic skills and understand concepts, and provide the highest level of instructor and adjunct support.

**Martin-Gay's series is well known and widely praised for an unparalleled ability to: **

- Explain key concepts clearly with an excellent, accessible writing style.
- Build problem-solving skills with thoroughly integrated problem solving techniques and explanations.
- Relate to students through real-life applications that are interesting, relevant, and practical.

**Martin-Gay believes that every student can: **

- Test better: The new Chapter Test Prep Video shows Martin-Gay working step-by-step video solutions to every problem in each Chapter Test to enhance mastery of key chapter content.
- Study better: New, integrated Study Skills Reminders reinforce the skills introduced in section 1.1, "Tips for Success in Mathematics" to promote an increased focus on the development of all-important study skills.
- Learn better: The enhanced exercise sets and new pedagogy, like the Concept Checks, mean that students have the tools they need to learn successfully.

Martin-Gay believes that every student can succeed, and with each successive edition enhances her pedagogy and learning resources to provide evermore relevant and useful tools to help students and instructors achieve success.

Table of Contents

**1. Real Numbers **

1.1 Tips for Success in Mathematics

1.2 Symbols and Sets of Numbers

1.3 Introduction to Variable Expressions and Equations

1.4 Adding Real Numbers

1.5 Subtracting Real Numbers

1.6 Multiplying Real Numbers

1.7 Dividing Real Numbers

Integrated Review--Operations on Real Numbers

1.8 Properties of Real Numbers

1.9 Reading Graphs

**2. Equations, Inequalities, and Problem Solving **

2.1 Simplifying Expressions

2.2 The Addition Property of Equality

2.3 The Multiplication Property of Equality

2.4 Solving Linear Equations

Integrated Review--Solving Linear Equations

2.5 An Introduction to Problem Solving

2.6 Formulas and Problem Solving

2.7 Further Problem Solving

2.8 Solving Linear Inequalities

**3. Graphing **

3.1 The Rectangular Coordinate System

3.2 Graphing Linear Equations

3.3 Intercepts

3.4 Slope and Rate of Change

Integrated Review--Slope and Graphing Linear Equations

3.5 The Slope. Intercept Form

3.6 The Point. Slope Form

3.7 Introduction to Functions

**4. Systems of Equations **

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 Addition

Integrated Review--Solving Systems of Equations

4.4 Systems of Linear Equations and Problem Solving

4.5 Graphing Linear Inequalities in Two Variables

4.6 Systems of Linear Inequalities

**5. Exponents and Polynomials **

5.1 Exponents

5.2 Adding and Subtracting Polynomials

5.3 Multiplying Polynomials

5.4 Special Products

Integrated Review--Operations on Polynomials

5.6 Negative Exponents and Scientific Notation

5.7 Dividing Polynomials

**6. Factoring Polynomials **

6.1 The Greatest Common Factor

6.2 Factoring Trinomials of the Form x2 + bx + c

6.3 Factoring Trinomials of the Form ax2 + bx + c

6.4 Factoring Binomials

Integrated Review--Choosing a Factoring Strategy

6.5 Solving Quadratic Equations by Factoring

6.6 Quadratic Equations and Problem Solving

**7. Rational Expressions **

7.1 Simplifying Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

7.3 Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator

7.4 Adding and Subtracting Rational Expressions with Unlike Denominators

7.5 Solving Equations Containing Rational Expressions Integrated Review--Summary on Rational Expressions

7.6 Proportions and Problem Solving with Rational Equations

7.7 Direct and Inverse Variation and Problem Solving

7.8 Simplifying Complex Fractions

**8. Roots and Radicals **

8.1 Introduction to Radicals

8.2 Simplifying Radicals

8.3 Adding and Subtracting Radicals

8.4 Multiplying and Dividing Radicals Integrated Review--Simplifying Radicals

8.5 Solving Equations Containing Radicals

8.6 Radical Equations and Problem Solving

8.7 Rational Exponents

**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

Integrated Review--Summary of Methods for Solving Quadratic Equations and Problem Solving

9.4 Complex Solutions of Quadratic Equations

9.5 Graphing Quadratic Equations

Publisher Info

Publisher: Prentice Hall, Inc.

Published: 2005

International: No

Published: 2005

International: No

For college-level courses in beginning or elementary algebra.

Elayn Martin-Gay's success as a developmental math author and teacher starts with a strong focus on mastering the basics through well-written explanations, innovative pedagogy and a meaningful, integrated program of learning resources. The revisions provide new pedagogy and resources to build student confidence, help students develop basic skills and understand concepts, and provide the highest level of instructor and adjunct support.

**Martin-Gay's series is well known and widely praised for an unparalleled ability to: **

- Explain key concepts clearly with an excellent, accessible writing style.
- Build problem-solving skills with thoroughly integrated problem solving techniques and explanations.
- Relate to students through real-life applications that are interesting, relevant, and practical.

**Martin-Gay believes that every student can: **

- Test better: The new Chapter Test Prep Video shows Martin-Gay working step-by-step video solutions to every problem in each Chapter Test to enhance mastery of key chapter content.
- Study better: New, integrated Study Skills Reminders reinforce the skills introduced in section 1.1, "Tips for Success in Mathematics" to promote an increased focus on the development of all-important study skills.
- Learn better: The enhanced exercise sets and new pedagogy, like the Concept Checks, mean that students have the tools they need to learn successfully.

Martin-Gay believes that every student can succeed, and with each successive edition enhances her pedagogy and learning resources to provide evermore relevant and useful tools to help students and instructors achieve success.

**1. Real Numbers **

1.1 Tips for Success in Mathematics

1.2 Symbols and Sets of Numbers

1.3 Introduction to Variable Expressions and Equations

1.4 Adding Real Numbers

1.5 Subtracting Real Numbers

1.6 Multiplying Real Numbers

1.7 Dividing Real Numbers

Integrated Review--Operations on Real Numbers

1.8 Properties of Real Numbers

1.9 Reading Graphs

**2. Equations, Inequalities, and Problem Solving **

2.1 Simplifying Expressions

2.2 The Addition Property of Equality

2.3 The Multiplication Property of Equality

2.4 Solving Linear Equations

Integrated Review--Solving Linear Equations

2.5 An Introduction to Problem Solving

2.6 Formulas and Problem Solving

2.7 Further Problem Solving

2.8 Solving Linear Inequalities

**3. Graphing **

3.1 The Rectangular Coordinate System

3.2 Graphing Linear Equations

3.3 Intercepts

3.4 Slope and Rate of Change

Integrated Review--Slope and Graphing Linear Equations

3.5 The Slope. Intercept Form

3.6 The Point. Slope Form

3.7 Introduction to Functions

**4. Systems of Equations **

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 Addition

Integrated Review--Solving Systems of Equations

4.4 Systems of Linear Equations and Problem Solving

4.5 Graphing Linear Inequalities in Two Variables

4.6 Systems of Linear Inequalities

**5. Exponents and Polynomials **

5.1 Exponents

5.2 Adding and Subtracting Polynomials

5.3 Multiplying Polynomials

5.4 Special Products

Integrated Review--Operations on Polynomials

5.6 Negative Exponents and Scientific Notation

5.7 Dividing Polynomials

**6. Factoring Polynomials **

6.1 The Greatest Common Factor

6.2 Factoring Trinomials of the Form x2 + bx + c

6.3 Factoring Trinomials of the Form ax2 + bx + c

6.4 Factoring Binomials

Integrated Review--Choosing a Factoring Strategy

6.5 Solving Quadratic Equations by Factoring

6.6 Quadratic Equations and Problem Solving

**7. Rational Expressions **

7.1 Simplifying Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

7.3 Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator

7.4 Adding and Subtracting Rational Expressions with Unlike Denominators

7.5 Solving Equations Containing Rational Expressions Integrated Review--Summary on Rational Expressions

7.6 Proportions and Problem Solving with Rational Equations

7.7 Direct and Inverse Variation and Problem Solving

7.8 Simplifying Complex Fractions

**8. Roots and Radicals **

8.1 Introduction to Radicals

8.2 Simplifying Radicals

8.3 Adding and Subtracting Radicals

8.4 Multiplying and Dividing Radicals Integrated Review--Simplifying Radicals

8.5 Solving Equations Containing Radicals

8.6 Radical Equations and Problem Solving

8.7 Rational Exponents

**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

Integrated Review--Summary of Methods for Solving Quadratic Equations and Problem Solving

9.4 Complex Solutions of Quadratic Equations

9.5 Graphing Quadratic Equations