## Description

Elayn Martin-Gay's developmental math textbooks and video resources are 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 algebra series continues her focus on students and what they need to be successful.

## 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 and Mixed Numbers

1.4 Exponents, Order of Operations, Variable Expressions and Equations

1.5 Adding Real Numbers

1.6 Subtracting Real Numbers

1.7 Multiplying and Dividing Real Numbers

1.8 Properties of Real Numbers

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

2.1 Simplifying Algebraic Expressions

2.2 The Addition Property of Equality

2.3 The Multiplication Property of Equality

2.4 Solving Linear Equations

2.5 An Introduction to Problem Solving

2.6 Formulas and Problem Solving

2.7 Percent and Mixture Problem Solving

2.8 Further Problem Solving

2.9 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

3.5 Equations of Lines

3.6 Functions

**4. Solving Systems of Linear 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 Addition

4.4 Systems of Linear Equations and Problem Solving

4.5 Graphing Linear Inequalities

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

5.5 Negative Exponents and Scientific Notation

5.6 Dividing Polynomials

**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 *ax*^{2} + *bx* + *c* and Perfect Square Trinomial

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

6.5 Factoring Binomials

6.6 Solving Quadratic Equations by Factoring

6.7 Quadratic Equations and Problems 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 Denominators

7.4 Adding and Subtracting Rational Expressions with Unlike Denominators

7.5 Solving Equations Containing Rational Expressions

7.6 Proportion and Problem Solving with Rational Equations

7.7 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

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

9.4 Complex Solutions of Quadratic Equations

9.5 Graphing Quadratic Equations

**Appendix A. Geometry**

**Appendix B. Additional Exercises on Proportion and Proportion Applications**

**Appendix C. Operations on Decimals**

**Appendix D. Mean, Median, and Mode**

**Appendix E. Tables**

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