## Table of Contents

**1. Whole Numbers **

1.1 Introduction to Whole Numbers

1.2 Adding and Subtracting Whole Numbers

1.3 Multiplying Whole Numbers

1.4 Dividing Whole Numbers

1.5 Exponents, Order of Operations, and Averages

1.6 More on Solving Word Problems

**2. Fractions **

2.1 Factors and Prime Numbers

2.2 Introduction to Fractions

2.3 Adding and Subtracting Fractions

2.4 Multiplying and Dividing Fractions

**3. Decimals **

3.1 Introduction to Decimals

3.2 Adding and Subtracting Decimals

3.3 Multiplying Decimals

3.4 Dividing Decimals

**4. Basic Algebra: Solving Simple Equations**

4.1 Introduction to Basic Algebra

4.2 Solving Addition and Subtraction Equations

4.3 Solving Multiplication and Division Equations

**5. Ratio and Proportion **

5.1 Introduction to Ratios

5.2 Solving Proportions

**6. Percents **

6.1 Introduction to Percents

6.2 Solving Percent Problems

6.3 More on Percents

**7. Signed Numbers **

7.1 Introduction to Signed Numbers

7.2 Adding Signed Numbers

7.3 Subtracting Signed Numbers

7.4 Multiplying Signed Numbers

7.5 Dividing Signed Numbers

**8. Basic Statistics **

8.1 Introduction to Basic Statistics

8.2 Tables and Graphs

**9. Measurement and Units **

9.1 U.S. Customary Units

9.2 Metric Units and Metric/U.S. Customary Unit Conversions

**10. Basic Geometry **

10.1 Introduction to Basic Geometry

10.2 Perimeter and Circumference

10.3 Area

10.4 Volume

10.5 Similar Triangles

10.6 Square Roots and the Pythagorean Theorem

**11. Introduction to Real Numbers and Algebraic Expressions **

11.1 Real Numbers

11.2 Using Properties to Add and Subtract Real Numbers

11.3 Using Properties to Multiply and Divide Real Numbers

11.4 Algebraic Expressions and Exponents

11.5 Evaluating Algebraic Expressions and Formulas

11.6 Simplifying Algebraic Expressions

**12. Solving Linear Equations and Inequalities **

12.1 Solving Linear Equations: The Addition Property

12.2 Solving Linear Equations: The Multiplication Property

12.3 Solving Linear Equations by Combining Properties

12.4 Solving Literal Equations and Formulas

12.5 Solving Linear Inequalities

**13. Graphing Linear Equations and Inequalities **

13.1 Introduction to Graphing

13.2 Slope

13.3 Linear Equations and Their Graphs

13.4 More on Linear Equations and Their Graphs

13.5 Linear Inequalities and Their Graphs

**14. Solving Systems of Linear Equations **

14.1 Introduction to Systems of Linear Equations: Solving by Graphing

14.2 Solving Systems of Linear Equations by Substitution

14.3 Solving Systems of Linear Equations by Elimination

**15. Exponents and Polynomials **

15.1 Laws of Exponents

15.2 More Laws of Exponents and Scientific Notation

15.3 Basic Concepts of Polynomials

15.4 Adding and Subtracting Polynomials

15.5 Multiplying Polynomials

15.6 Special Products

15.7 Dividing Polynomials

**16. Factoring Polynomials **

16.1 Common Factoring and Factoring by Grouping

16.2 Factoring Trinomials Whose Leading Coefficient Is 1

16.3 Factoring Trinomials Whose Leading Coefficient Is Not 1

16.4 Factoring Perfect Square Trinomials and the Difference of Squares

16.5 Solving Quadratic Equations by Factoring

**17. Rational Expressions and Equations **

17.1 Rational Expressions

17.2 Multiplying and Dividing Rational Expressions

17.3 Adding and Subtracting Rational Expressions

17.4 Complex Rational Expressions

17.5 Solving Rational Equations

**18. Radical Expressions and Equations **

18.1 Introduction to Radical Expressions

18.2 Adding and Subtracting Radical Expressions

18.3 Multiplying and Dividing Radical Expressions

18.4 Solving Radical Equations

**19. Quadratic Equations **

19.1 Solving Quadratic Equations by Using the Square Root Property

19.2 Solving Quadratic Equations by Completing the Square

19.3 Solving Quadratic Equations by Using the Quadratic Formula

19.4 Graphing Quadratic Equations in Two Variables

Appendixes

A. Table of Symbols

B. Review of Basic Mathematics

C. Introduction to Graphing Calculators

D. Factoring the Sum of Cubes and the Difference of Cubes

Online Bonus Material:

E. Solving Compound Inequalities

F. Solving Absolute Value Equations and Inequalities

G. Introduction to Functions

H. Solving Systems of Linear Inequalities

I. Variation

J. Radical Expressions and Rational Exponents

K. The Distance and Midpoint Formulas; the Circle