## 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

Mid-Chapter Review

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

Mid-Chapter Review

2.4 Applications with Percent

2.5 Problem Solving

2.6 Solving Inequalities

2.7 Solving Applications with Inequalities

**3. Introduction to Graphing and Functions**

3.1 Reading Graphs, Plotting Points, and Scaling Graphs

3.2 Graphing Equations

3.3 Linear Equations and Intercepts

3.4 Rates

3.5 Slope

Mid-Chapter Review

3.6 Slope-Intercept Form

3.7 Point-Slope Form; Introduction to Curve Fitting

3.8 Functions

**4. Systems of Equations in Two Variables**

4.1 Systems of Equations and Graphing

4.2 Systems of Equations and Substitution

4.3 Systems of Equations and Elimination

Mid-Chapter Review

4.4 More Applications Using Systems

4.5 Solving Equations by Graphing

**5. Polynomials**

5.1 Exponents and Their Properties

5.2 Negative Exponents and Scientific Notation

5.3 Polynomials and Polynomial Functions

5.4 Addition and Subtraction of Polynomials

5.5 Multiplication of Polynomials

5.6 Special Products

Mid-Chapter Review

5.7 Polynomials in Several Variables

5.8 Division of Polynomials

5.9 The Algebra of Functions

**6. Polynomial Factorizations and Equations**

6.1 Introduction to Polynomial Factorizations and Equations

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

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

Mid-Chapter Review

6.4 Perfect-Square Trinomials and Differences of Squares

6.5 Sums or Differences of Cubes

6.6 Factoring: A General Strategy

6.7 Applications of Polynomial Equations

**7. Rational Expressions, Equations, and Functions**

7.1 Rational Expressions and Functions

7.2 Multiplication and Division

7.3 Addition, Subtraction, and Least Common Denominators

7.4 Addition and Subtractions with Unlike Denominators

Mid-Chapter Review

7.5 Complex Rational Expressions

7.6 Rational Equations

7.7 Applications Using Rational Equations and Proportions

7.8 Formulas, Applications, and Variation

**8. Inequalities**

8.1 Graphical Solutions and Compound

8.2 Absolute Value Equations and Inequalities

Mid-Chapter Review

8.3 Inequalities in Two Variables

8.4 Polynomial Inequalities and Rational Inequalities

**9. More On Systems**

9.1 Systems of Equations in Three Variables

9.2 Solving Applications: Systems of Three Equations

9.3 Elimination Using Matrices

Mid-Chapter Review

9.4 Determinants and Cramer’s Rule

9.5 Business and Economic Applications

**10. Exponents and Radical Functions**

10.1 Radical Expressions, Functions, and Models

10.2 Rational Numbers as Exponents

10.3 Multiplying Radical Expressions

10.4 Dividing Radical Expressions

10.5 Expressions Containing Several Radical Terms

Mid-Chapter Review

10.6 Solving Radical Equations

10.7 The Distance Formula, the Midpoint Formula, and Other Applications

10.8 The Complex Numbers

**11. Quadratic Functions and Equations**

11.1 Quadratic Equations

11.2 The Quadratic Formula

11.3 Studying Solutions of Quadratic Equations

11.4 Applications Involving Quadratic Equations

11.5 Equations Reducible to Quadratic

Mid-Chapter Review

11.6 Quadratic Functions and Their Graphs

11.7 More About Graphing Quadratic Functions

11.8 Problem Solving and Quadratic Equations

**12. Exponential Functions and Logarithmic Functions**

12.1 Composite Functions and Inverse Functions

12.2 Exponential Functions

12.3 Logarithmic Functions

12.4 Properties of Logarithmic Functions

Mid-Chapter Review

12.5 Natural Logarithms and Changing Bases

12.6 Solving Exponential and Logarithmic Equations

12.7 Applications of Exponential and Logarithmic Functions