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Cover type: Hardback

Edition: 3RD 05

Copyright: 2005

Publisher: Prentice Hall, Inc.

Published: 2005

International: No

Edition: 3RD 05

Copyright: 2005

Publisher: Prentice Hall, Inc.

Published: 2005

International: No

List price: $149.50

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For college-level courses of combined introductory and intermediate 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. Review of Real Numbers **

1.1 Tips for Success in Mathematics

1.2 Symbols and Sets of Numbers

1.3 Fractions

1.4 Introduction to Variable Expressions and Equations

1.5 Adding Real Numbers

1.6 Subtracting Real Numbers

1.7 Multiplying and Dividing Real Numbers

Integrated Review--Operations on Real Numbers

1.8 Properties of Real Numbers

**2. Equations and Problem Solving **

2.1 Simplifying Expressions

2.2 The Addition and Multiplication Properties of Equality

2.3 Solving Linear Equations

Integrated Review--Solving Linear Equations

2.4 An Introduction to Problem Solving

2.5 Formulas and Problem Solving

2.6 Further Problem Solving

2.7 Solving Linear Inequalities

**3. Graphing **

3.1 Reading Graphs and the Rectangular Coordinate System

3.2 Graphing Linear Equations

3.3 Intercepts

3.4 Slope and Rate of Change

Integrated Review--Summary on Slope and Graphing Linear Equations

3.5 The Slope-Intercept Form

3.6 The Point Slope Form

3.7 Functions

**4. Systems of Linear 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

4.4 Solving Systems of Linear Equations in Three Variables

Integrated Review--Systems of Equations

4.5 Systems of Linear Equations and Problem Solving

**5. Exponents and Polynomials **

5.1 Exponents

5.2 Polynomial Functions and Adding and Subtracting Polynomials

5.3 Multiplying Polynomials

5.4 Special Products

Integrated Review--Exponents and Operations on Polynomials

5.5 Negative Exponents and Scientific Notation

5.6 Dividing Polynomials

5.7 Synthetic Division and the Remainder Theorem

**6. Factoring Polynomials **

6.1 The Greatest Common Factor and Factoring by Grouping

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 Rational Functions and 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 Proportion and Problem Solving with Rational Equations

7.7 Simplifying Complex Fractions

**8. Functions and Graphs **

8.1 Graphing and Writing Linear Functions

8.2 Graphing Nonlinear Functions

Integrated Review--Summary on Functions

8.3 The Algebra of Functions; Composite Functions

8.4 Variation and Problem Solving

**9. Inequalities and Absolute Value **

9.1 Compound Inequalities

9.2 Absolute Value Equations

9.3 Absolute Value Inequalities

Integrated Review--Solving Equations and Inequalities

9.4 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities

**10. Radicals, Rational Exponents, and Complex Numbers **

10.1 Radicals and Radical Functions

10.2 Rational Exponents

10.3 Simplifying Radical Expressions

10.4 Adding and Subtracting and Multiplying Radical Expressions

10.5 Rationalizing Denominators and Numerators of Radical Expressions

Integrated Review-- Radicals and Rational Exponents

10.6 Radical Equations and Problem Solving

10.7 Complex Numbers

**11. Quadratic Equations and Functions **

11.1 Solving Quadratic Equations by Completing the Square

11.2 Solving Quadratic Equations by the Quadratic Formula

11.3 Solving Equations by Using Quadratic Methods

Integrated Review--Summary on Solving Quadratic Equations

11.4 Nonlinear Inequalities in One Variable

11.5 Quadratic Functions and Their Graphs

11.6 Further Graphing of Quadratic Functions

**12. Exponential and Logarithmic Functions **

12.1 Inverse Functions

12.2 Exponential Functions

12.3 Logarithmic Functions

12.4 Properties of Logarithms

Integrated Review--Functions and Properties of Logarithms

12.5 Common Logarithms, Natural Logarithms, and Change of Base

12.6 Exponential and Logarithmic Equations and Applications

**13. Conic Sections **

13.1 The Parabola and the Circle

13.2 The Ellipse and the Hyperbola

Integrated Review--Graphing Conic Sections

13.3 Solving Nonlinear Systems of Equations

13.4 Nonlinear Inequalities and Systems of Inequalities

**14. Sequences, Series, and the Binomial Theorem **

14.1 Sequences

14.2 Arithmetic and Geometric Sequences

14.3 Series

Integrated Review--Sequences and Series

14.4 Partial Sums of Arithmetic and Geometric Sequences

14.5 The Binomial Theorem

Appendix A - Review of Algebra Topics

1. Equations and Inequalities

2. Problem Solving

3. Graphing

4. Polynomials and Factoring

5. Rational Expressions

Appendix B - Solving Systems of Equations by Matrices

Appendix C - Solving Systems of Equations by Determinants

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Summary

For college-level courses of combined introductory and intermediate 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. Review of Real Numbers **

1.1 Tips for Success in Mathematics

1.2 Symbols and Sets of Numbers

1.3 Fractions

1.4 Introduction to Variable Expressions and Equations

1.5 Adding Real Numbers

1.6 Subtracting Real Numbers

1.7 Multiplying and Dividing Real Numbers

Integrated Review--Operations on Real Numbers

1.8 Properties of Real Numbers

**2. Equations and Problem Solving **

2.1 Simplifying Expressions

2.2 The Addition and Multiplication Properties of Equality

2.3 Solving Linear Equations

Integrated Review--Solving Linear Equations

2.4 An Introduction to Problem Solving

2.5 Formulas and Problem Solving

2.6 Further Problem Solving

2.7 Solving Linear Inequalities

**3. Graphing **

3.1 Reading Graphs and the Rectangular Coordinate System

3.2 Graphing Linear Equations

3.3 Intercepts

3.4 Slope and Rate of Change

Integrated Review--Summary on Slope and Graphing Linear Equations

3.5 The Slope-Intercept Form

3.6 The Point Slope Form

3.7 Functions

**4. Systems of Linear 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

4.4 Solving Systems of Linear Equations in Three Variables

Integrated Review--Systems of Equations

4.5 Systems of Linear Equations and Problem Solving

**5. Exponents and Polynomials **

5.1 Exponents

5.2 Polynomial Functions and Adding and Subtracting Polynomials

5.3 Multiplying Polynomials

5.4 Special Products

Integrated Review--Exponents and Operations on Polynomials

5.5 Negative Exponents and Scientific Notation

5.6 Dividing Polynomials

5.7 Synthetic Division and the Remainder Theorem

**6. Factoring Polynomials **

6.1 The Greatest Common Factor and Factoring by Grouping

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 Rational Functions and 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 Proportion and Problem Solving with Rational Equations

7.7 Simplifying Complex Fractions

**8. Functions and Graphs **

8.1 Graphing and Writing Linear Functions

8.2 Graphing Nonlinear Functions

Integrated Review--Summary on Functions

8.3 The Algebra of Functions; Composite Functions

8.4 Variation and Problem Solving

**9. Inequalities and Absolute Value **

9.1 Compound Inequalities

9.2 Absolute Value Equations

9.3 Absolute Value Inequalities

Integrated Review--Solving Equations and Inequalities

9.4 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities

**10. Radicals, Rational Exponents, and Complex Numbers **

10.1 Radicals and Radical Functions

10.2 Rational Exponents

10.3 Simplifying Radical Expressions

10.4 Adding and Subtracting and Multiplying Radical Expressions

10.5 Rationalizing Denominators and Numerators of Radical Expressions

Integrated Review-- Radicals and Rational Exponents

10.6 Radical Equations and Problem Solving

10.7 Complex Numbers

**11. Quadratic Equations and Functions **

11.1 Solving Quadratic Equations by Completing the Square

11.2 Solving Quadratic Equations by the Quadratic Formula

11.3 Solving Equations by Using Quadratic Methods

Integrated Review--Summary on Solving Quadratic Equations

11.4 Nonlinear Inequalities in One Variable

11.5 Quadratic Functions and Their Graphs

11.6 Further Graphing of Quadratic Functions

**12. Exponential and Logarithmic Functions **

12.1 Inverse Functions

12.2 Exponential Functions

12.3 Logarithmic Functions

12.4 Properties of Logarithms

Integrated Review--Functions and Properties of Logarithms

12.5 Common Logarithms, Natural Logarithms, and Change of Base

12.6 Exponential and Logarithmic Equations and Applications

**13. Conic Sections **

13.1 The Parabola and the Circle

13.2 The Ellipse and the Hyperbola

Integrated Review--Graphing Conic Sections

13.3 Solving Nonlinear Systems of Equations

13.4 Nonlinear Inequalities and Systems of Inequalities

**14. Sequences, Series, and the Binomial Theorem **

14.1 Sequences

14.2 Arithmetic and Geometric Sequences

14.3 Series

Integrated Review--Sequences and Series

14.4 Partial Sums of Arithmetic and Geometric Sequences

14.5 The Binomial Theorem

Appendix A - Review of Algebra Topics

1. Equations and Inequalities

2. Problem Solving

3. Graphing

4. Polynomials and Factoring

5. Rational Expressions

Appendix B - Solving Systems of Equations by Matrices

Appendix C - Solving Systems of Equations by Determinants

Publisher Info

Publisher: Prentice Hall, Inc.

Published: 2005

International: No

Published: 2005

International: No

For college-level courses of combined introductory and intermediate 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. Review of Real Numbers **

1.1 Tips for Success in Mathematics

1.2 Symbols and Sets of Numbers

1.3 Fractions

1.4 Introduction to Variable Expressions and Equations

1.5 Adding Real Numbers

1.6 Subtracting Real Numbers

1.7 Multiplying and Dividing Real Numbers

Integrated Review--Operations on Real Numbers

1.8 Properties of Real Numbers

**2. Equations and Problem Solving **

2.1 Simplifying Expressions

2.2 The Addition and Multiplication Properties of Equality

2.3 Solving Linear Equations

Integrated Review--Solving Linear Equations

2.4 An Introduction to Problem Solving

2.5 Formulas and Problem Solving

2.6 Further Problem Solving

2.7 Solving Linear Inequalities

**3. Graphing **

3.1 Reading Graphs and the Rectangular Coordinate System

3.2 Graphing Linear Equations

3.3 Intercepts

3.4 Slope and Rate of Change

Integrated Review--Summary on Slope and Graphing Linear Equations

3.5 The Slope-Intercept Form

3.6 The Point Slope Form

3.7 Functions

**4. Systems of Linear 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

4.4 Solving Systems of Linear Equations in Three Variables

Integrated Review--Systems of Equations

4.5 Systems of Linear Equations and Problem Solving

**5. Exponents and Polynomials **

5.1 Exponents

5.2 Polynomial Functions and Adding and Subtracting Polynomials

5.3 Multiplying Polynomials

5.4 Special Products

Integrated Review--Exponents and Operations on Polynomials

5.5 Negative Exponents and Scientific Notation

5.6 Dividing Polynomials

5.7 Synthetic Division and the Remainder Theorem

**6. Factoring Polynomials **

6.1 The Greatest Common Factor and Factoring by Grouping

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 Rational Functions and 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 Proportion and Problem Solving with Rational Equations

7.7 Simplifying Complex Fractions

**8. Functions and Graphs **

8.1 Graphing and Writing Linear Functions

8.2 Graphing Nonlinear Functions

Integrated Review--Summary on Functions

8.3 The Algebra of Functions; Composite Functions

8.4 Variation and Problem Solving

**9. Inequalities and Absolute Value **

9.1 Compound Inequalities

9.2 Absolute Value Equations

9.3 Absolute Value Inequalities

Integrated Review--Solving Equations and Inequalities

9.4 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities

**10. Radicals, Rational Exponents, and Complex Numbers **

10.1 Radicals and Radical Functions

10.2 Rational Exponents

10.3 Simplifying Radical Expressions

10.4 Adding and Subtracting and Multiplying Radical Expressions

10.5 Rationalizing Denominators and Numerators of Radical Expressions

Integrated Review-- Radicals and Rational Exponents

10.6 Radical Equations and Problem Solving

10.7 Complex Numbers

**11. Quadratic Equations and Functions **

11.1 Solving Quadratic Equations by Completing the Square

11.2 Solving Quadratic Equations by the Quadratic Formula

11.3 Solving Equations by Using Quadratic Methods

Integrated Review--Summary on Solving Quadratic Equations

11.4 Nonlinear Inequalities in One Variable

11.5 Quadratic Functions and Their Graphs

11.6 Further Graphing of Quadratic Functions

**12. Exponential and Logarithmic Functions **

12.1 Inverse Functions

12.2 Exponential Functions

12.3 Logarithmic Functions

12.4 Properties of Logarithms

Integrated Review--Functions and Properties of Logarithms

12.5 Common Logarithms, Natural Logarithms, and Change of Base

12.6 Exponential and Logarithmic Equations and Applications

**13. Conic Sections **

13.1 The Parabola and the Circle

13.2 The Ellipse and the Hyperbola

Integrated Review--Graphing Conic Sections

13.3 Solving Nonlinear Systems of Equations

13.4 Nonlinear Inequalities and Systems of Inequalities

**14. Sequences, Series, and the Binomial Theorem **

14.1 Sequences

14.2 Arithmetic and Geometric Sequences

14.3 Series

Integrated Review--Sequences and Series

14.4 Partial Sums of Arithmetic and Geometric Sequences

14.5 The Binomial Theorem

Appendix A - Review of Algebra Topics

1. Equations and Inequalities

2. Problem Solving

3. Graphing

4. Polynomials and Factoring

5. Rational Expressions

Appendix B - Solving Systems of Equations by Matrices

Appendix C - Solving Systems of Equations by Determinants