## Table of Contents

**1. Whole Numbers **

1.1 Study Tips for This Course

1.2 Introduction to Whole Numbers

1.3 Adding and Subtracting Whole Numbers; Perimeter

1.4 Multiplying Whole Numbers; Area

1.5 Dividing Whole Numbers

1.6 Exponents and Order of Operations

**2. Fractions and Mixed Numbers**

2.1 Introduction to Fractions and Mixed Numbers

2.2 Factors and Simplest Form

2.3 Multiplying and Dividing Fractions

2.4 Adding and Subtracting Fractions

2.5 Complex Fractions and Review of Order of Operations

2.6 Operations on Mixed Numbers

**3. Decimals**

3.1 Introduction to Decimals

3.2 Adding and Subtracting Decimals

3.3 Multiplying Decimals

3.4 Dividing Decimals

3.5 Fractions, Decimals, and Order of Operations

**4. Negative Numbers**

4.1 Introduction to Integers

4.2 Adding Integers

4.3 Subtracting Integers

4.4 Multiplying and Dividing Integers

4.5 Order of Operations

4.6 Negative Fractions and Decimals

**5. Ratio and Proportions**

5.1 Ratios, Rates, and Unit Prices

5.2 Proportions

5.3 Proportions and Problem Solving

5.4 Congruent and Similar Triangles

**6. Percent**

6.1 Percents, Decimals, and Fractions

6.2 Solving Percent Problems with Equations

6.3 Solving Percent Problems with Proportions

6.4 Applications of Percent

6.5 Percent and Problem Solving: Sales Tax, Commission, and Discount

6.6 Percent and Problem Solving: Interest

**7. Geometry**

7.1 Lines and Angles

7.2 Square Roots and the Pythagorean Theorem

7.3 Perimeter, Circumference, and Area

7.4 Volume and Surface Area

**8. Measurement**

8.1 Linear Measurement

8.2 Weight and Mass

8.3 Capacity

8.4 Time and Temperature

**9. Introduction to Statistics**

9.1 Mean, Median, and Mode

9.2 Pictographs, Circle Graphs, and Line Graphs

9.3 Histograms

9.4 Counting

9.5 Probability

**10. Real Numbers and Algebraic Expressions**

10.1 The Real Number System

10.2 Adding and Subtracting Real Numbers

10.3 Multiplying and Dividing Real Numbers

10.4 Exponents and Order of Operations

10.5 Variables and Properties of Real Numbers

10.6 Simplifying Algebraic Expressions

**11. Linear Equations and Inequalities in One Variable**

11.1 The Addition and Multiplication Properties of Equality

11.2 Solving Linear Equations in One Variable

11.3 Introduction to Problem Solving

11.4 Formulas

11.5 Geometry, Motion, and Mixture Problem Solving

11.6 Linear Inequalities in One Variable

**12. Graphs of Linear Equations and Inequalities in Two Variables**

12.1 The Rectangular Coordinate System

12.2 Graphing Linear Equations in Two Variables

12.3 Slope

12.4 Equations of Lines

12.5 Linear Inequalities in Two Variables

**13. Systems of Linear Equations**

13.1 Solving Systems of Linear Equations by Graphing

13.2 Solving Systems of Linear Equations by Substitution

13.3 Solving Systems of Linear Equations by Elimination

13.4 Applications of Linear Systems

**14. Exponents and Polynomials**

14.1 Exponents

14.2 Introduction to Polynomials

14.3 Adding and Subtracting Polynomials

14.4 Multiplying Polynomials

14.5 Special Products

14.6 Negative Exponents and Scientific Notation

14.7 Dividing Polynomials

14.8 Polynomials in Several Variables

**15. Factoring Polynomials**

15.1 Greatest Common Factor and Factoring by Grouping

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

15.3 Factoring Trinomials of the Form *ax*^{2} + *bx* + *c* Using Trial-and-Error

15.4 Factoring Trinomials of the Form *x*^{2} + *bx* + *c* Using the *ac* Method

15.5 Factoring Special Forms

15.6 A General Factoring Strategy

15.7 Solving Polynomial Equations by Factoring

15.8 Applications of Quadratic Equations

**16. Rational Expressions and Equations**

16.1 Simplifying Rational Expressions

16.2 Multiplying and Dividing Rational Expressions

16.3 Least Common Denominators

16.4 Adding and Subtracting Rational Expressions

16.5 Complex Rational Expressions

16.6 Solving Rational Equations

16.7 Applications of Rational Equations

16.8 Variation

**17. Radicals and Rational Exponents**

17.1 Finding Roots

17.2 Simplifying Radicals

17.3 Adding and Subtracting Radical Expressions

17.4 Multiplying and Dividing Radicals; Rationalizing Denominators

17.5 Solving Radical Equations

17.6 Rational Exponents

17.7 Complex Numbers

**18. Quadratic Equations**

18.1 Solving Quadratic Equations Using the Square Root Property

18.2 Solving Quadratic Equations by Completing the Square

18.3 Solving Quadratic Equations Using the Quadratic Formula

18.4 Graphs of Quadratic Equations

**19. Introduction to Functions**

19.1 Relations and Functions

19.2 Function Notation and the Algebra of Functions

19.3 Graphs of Functions and Their Applications

**20. More with Systems of Linear Equations and Inequalities**

20.1 Systems of Linear Equations in Three Variables

20.2 Solving Systems of Linear Equations Using Matrices

20.3 Determinants and Cramer’s Rule

20.4 Systems of Linear Inequalities

**Appendices**

Appendix A. Tables

1. Geometric Figures

2. Percents, Decimals, and Fraction Equivalents

3. Finding Common Percents of a Number

4. Squares and Square Roots

5. Measurement Conversions and Temperature Formulas

Appendix B. Geometric Formulas

Appendix C Synthetic Division

1. Divide a Polynomial by a Binomial Using Synthetic Division