## Description

**Bittinger Concepts and Applications Program**delivers proven pedagogy, guiding students from skills-based math to the concepts-oriented math required for college courses.

## Table of Contents

**1. Introduction to Algebraic Expressions**

1.1 Introduction to Algebra

1.2 The Commutative, Associative, and Distributive Laws

1.3 Fraction Notation

1.4 Positive and Negative Real Numbers

1.5 Addition of Real Numbers

1.6 Subtraction of Real Numbers

1.7 Multiplication and Division of Real Numbers

1.8 Exponential Notation and Order of Operations

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

2.1 Solving Equations

2.2 Using the Principles Together

2.3 Formulas

2.4 Applications with Percent

2.5 Problem Solving

2.6 Solving Inequalities

2.7 Solving Applications with Inequalities

**3. Introduction to Graphing**

3.1 Reading Graphs, Plotting Points, and Scaling Graphs

3.2 Graphing Linear Equations

3.3 Graphing and Intercepts

3.4 Rates

3.5 Slope

3.6 Slope-Intercept Form

3.7 Point-Slope Form

**4. Polynomials**

4.1 Exponents and Their Properties

4.2 Polynomials

4.3 Addition and Subtraction of Polynomials

4.4 Multiplication of Polynomials

4.5 Special Products

4.6 Polynomials in Several Variables

4.7 Division of Polynomials

4.8 Negative Exponents and Scientific Notation

**5. Polynomials and Factoring**

5.1 Introduction to Factoring

5.2 Factoring Trinomials of the Type *x*^{2} + *bx* + *c*

5.3 Factoring Trinomials of the Type *ax*^{2} + *bx* + *c*

5.4 Factoring Perfect-Square Trinomials and Difference of Squares

5.5 Factoring: A General Strategy

5.6 Solving Quadratic Equations by Factoring

5.7 Solving Applications

**6. Rational Expressions and Equations**

6.1 Rational Expressions

6.2 Multiplication and Division

6.3 Addition, Subtraction, and Least Common Denominators

6.4 Addition and Subtraction with Unlike Denominators

6.5 Complex Rational Expressions

6.6 Rational Equations

6.7 Applications Using Rational Equations and Proportions

**7. Systems and More Graphing**

7.1 Systems of Equations and Graphing

7.2 Systems of Equations and Substitution

7.3 Systems of Equations and Elimination

7.4 More Applications Using Systems

7.5 Linear Inequalities in Two Variables

7.6 Systems of Linear Inequalities

7.7 Direct Variation and Inverse Variation

**8. Radical Expressions and Equations**

8.1 Introduction to Square Roots and Radical Expressions

8.2 Multiplying and Simplifying Radical Expressions

8.3 Quotients Involving Square Roots

8.4 Radical Expressions with Several Terms

8.5 Radical Equations

8.6 Applications Using Right Triangles

8.7 Higher Roots and Rational Exponents

**9. Quadratic Equations**

9.1 Solving Quadratic Equations: The Principle of Square Roots

9.2 Solving Quadratic Equations: Completing the Square

9.3 The Quadratic Formula and Applications

9.4 Formulas

9.5 Complex Numbers as Solutions of Quadratic Equations

9.6 Graphs of Quadratic Functions

9.7 FunctionsAppendix A. Factoring Sums or Differences of Cubes

Appendix B. Mean, Median, and Mode

Appendix C. Sets
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Marvin L. Bittinger, David J. Ellenbogen, Barbara L. Johnson

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