# Algebra: A Combined Approach, 5th edition

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## Overview

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Elayn Martin-Gay's developmental math program is motivated by her firm belief that every student can succeed. Martin-Gay's focus on the student shapes her clear, accessible writing, inspires her constant pedagogical innovations, and contributes to the popularity and effectiveness of her video resources. This revision of Martin-Gay's series continues her focus on students and what they need to be successful.

0321978528 / 9780321978523 Algebra: A Combined Approach Plus NEW MyMathLab with Pearson eText -- Access Card Package

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032197753X / 9780321977533 Algebra: A Combined Approach

## Table of contents

**R. Prealgebra Review**

R.1 Factors and the Least Common Multiple

R.2 Fractions

R.3 Decimals and Percents

* **Group Activity*

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

**1. Real Numbers and Introduction to Algebra**

1.1 Study Skills Tips for Sucess in Mathematics

1.2 Symbols and Sets of Numbers

1.3 Expnents, Order of Operations, and Variable Expressions

1.4 Adding Real Numbers

1.5 Subtracting Real Numbers

1.6 Multiplying and Dividing Real Numbers

1.7 Properties of Real Numbers

1.8 Simplifying Expressions

* **Group Activity*

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

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

2.1 The Addition Property of Equality

2.2 The Multiplication Property of Equality

2.3 Further Solving Linear Equations

2.4 An Introduction to Problem Solving

2.5 Formulas and Problem Solving

2.6 Percent and Mixture Problem Solving

2.7 Linear Inequalities and Problem Solving

* Group Activity*

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

**3. Graphing Equations and Inequalities**

3.1 Reading Graphs and the Rectangular Coordinate System

3.2 Graphing Linear Equations

3.3 Intercepts

3.4 Slope and Rate of Change

3.5 Equations of Lines

3.6 Graphing Linear Inequalities in Two Variables

* **Group Activity*

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

**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 Addtion

4.4 Systems of Linear Equations and Problem Solving

* **Group Activity*

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

**5. Exponents and Polynomials**

5.1 Exponents

5.2 Negative Exponents and Scientific Notation

5.3 Introduction to Polynomials

5.5 Multiplying Polynomials

5.6 Special Products

5.7 Dividing Polynomials

* **Group Activity*

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

**6. Factoring Polynomials**

6.1 The Greatest Common Factor and Factoring by Grouping

6.2 Factoring Trinomials of the Form *x ^{2} + bx + c*

* *6.3 Factoring Trinomials of the Form *a x^{2} +*

*bx + c*

6.4 Factoring Trinomials of the Form *ax ^{2} + bx + c* by Grouping

6.5 Factoring by Special Products

6.6 Solving Quadratic Equations and Problem Solving

* **Group Activity*

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

**7. Rational Expressions**

7.1 Simplifying Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

7.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator

7.4 Adding and Subtracting Rational Expressions with Different Denominators

7.5 Solving Equations Containing Rational Expressions

7.6 Proportions and Problem Solving with Rational Equations

7.7 Simplifying Complex Fractions

* **Group Activity*

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

**8. Graphs and Functions**

8.1 Review of Equations of Lines and Writing Parallel and Perpendicular Lines

8.2 Introduction to Functions

8.3 Polynomial and Rational Functions

8.4 Interval Notation, Finding Domains and Ranges from Graphs, and Graphing Piecewise-Defined Functions

8.5 Shifting and Reflecting Graphs of Functions

* **Group Activity*

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

**9. Systems of Equations and Inequalities and Variation**

9.1 Solving Systems of Linear Equations in Three Variables and Problem Solving

9.2 Solving Systems of Equations Using Matrices

9.3 Systems of Linear Inequalities

9.4 Variation and Problem Solving

* Group Activity*

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

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

** **10.1 Radical Expressions and Radical Functions

10.2 Rational Exponents

10.3 Simplifying Radical Expressions

10.4 Adding, Subtracting, and Multiplying Radical Expressions

10.5 Rationalizing Numerators and Denominators of Radical Expressions

10.6 Radical Equations and Problem Solving

10.7 Complex Numbers

* **Group Activity*

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

**11. Quadratic Equations and Functions**

11.1 Solving Quadratic Equations by Completing the Square

11.2 Solving Quadratic Equations by Using the Quadratic Formula

11.3 Solving Equations by Using Quadratic Methods

11.4 Nonlinear Inequalities in One Variable

11.5 Quadratic Functions and Their Graphs

11.6 Further Graphing of Quadratic Functions

* **Group Activity*

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

**12. Exponential and Logarithmic Functions**

12.1 The Algebra of Functions

12.2 Inverse Functions

12.3 Exponential Functions

12.4 Exponential Functions

12.5 Logarithmic Functions

12.6 Properties of Logarithms

12.7 Common Logarithms, Natural Logarithms, and Change of Base

12.8 Exponential and Logarithmic Equations and Problem Solving

* **Group Activity*

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

**13. Conic Sections**

13.1 The Parabola and the Circle

13.2 The Ellipse and the Hyperbola

13.3 Solving Nonlinear Systems of Equations

13.4 Nonlinear Inequalities and Systems of Inequalities

* **Group Activity*

Vocabulary Check

Chapter Highlights

Chapter Review

Chapter Test

Cumulative Review

Appendices

Appendix A: Transition Review: Exponents, Polynomials, and Factoring Strategies

Appendix B: Transition Review: Solving Linear and Quadratic Equations

Appendix C: Sets and Compound Inequalities

Appendix D: Absolute Value Equations and Inequalities

Appendix E: Determinants and Cramer’s Rule

Appendix F: Review of Angles, Lines, and Special Triangles

Appendix G: Stretching and Compressing Graphs of Absolute Value Functions

Appendix H: An Introduction to Using a Graphing Utility

Published by Pearson (February 11th 2015) - Copyright © 2016