## Table of Contents

**1. Whole Numbers**

1.1 Reading and Writing Whole Numbers

1.2 Adding Whole Numbers

1.3 Subtracting Whole Numbers

1.4 Multiplying Whole Numbers

1.5 Dividing Whole Numbers

1.6 Long Division

1.7 Rounding Whole Numbers

1.8 Exponents, Roots, and Order of Operations

1.9 Reading Pictographs, Bar Graphs, and Line Graphs

1.10 Solving Application Problems

**2. Multiplying and Dividing Fractions**

2.1 Basics of Fractions

2.2 Mixed Numbers

2.3 Factors

2.4 Writing a Fraction in Lowest Terms

2.5 Multiplying Fractions

2.6 Applications of Multiplication

2.7 Dividing Fractions

2.8 Multiplying and Dividing Mixed Numbers

**3. Adding and Subtracting Fractions**

3.1 Adding and Subtracting Like Fractions

3.2 Least Common Multiples

3.3 Adding and Subtracting Unlike Fractions

3.4 Adding and Subtracting Mixed Numbers

3.5 Order Relations and the Order of Operations

**4. Decimals**

4.1 Reading and Writing Decimal Numbers

4.2 Rounding Decimal Numbers

4.3 Adding and Subtracting Decimal Numbers

4.4 Multiplying Decimal Numbers

4.5 Dividing Decimal Numbers

4.6 Fractions and Decimals

**5. Ratio and Proportion**

5.1 Ratios

5.2 Rates

5.3 Proportions

5.4 Solving Proportions

5.5 Solving Application Problems with Proportions

**6. Percent**

6.1 Basics of Percent

6.2 Percents and Fractions

6.3 Using the Percent Proportion and Identifying the Components in a Percent Problem

6.4 Using Proportions to Solve Percent Problems

6.5 Using the Percent Equation

6.6 Solving Application Problems with Percent

6.7 Simple Interest

6.8 Compound Interest

**7. Geometry**

7.1 Lines and Angles

7.2 Rectangles and Squares

7.3 Parallelograms and Trapezoids

7.4 Triangles

7.5 Circles

7.6 Volume and Surface Area

7.7 Pythagorean Theorem

7.7 Congruent and Similar Triangles

**8. Statistics**

8.1 Circle Graphs

8.2 Bar Graphs and Line Graphs

8.3 Frequency Distributions and Histograms

8.4 Mean, Median, and Mode

**9. The Real Number System**

9.1 Exponents, Order of Operations, and Inequality

9.2 Variables, Expressions, and Equations

9.3 Real Numbers and the Number Line

9.4 Adding Real Numbers

9.5 Subtracting Real Numbers

9.6 Multiplying and Dividing Real Numbers

9.7 Properties of Real Numbers

9.8 Simplifying Expressions

**10. Equations, Inequalities, and Applications**

10.1 The Addition Property of Equality

10.2 The Multiplication Property of Equality

10.3 More on Solving Linear Equations

10.4 An Introduction to Applications of Linear Equations

10.5 Formulas and Additional Applications from Geometry

10.6 Solving Linear Inequalities

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

11.1 Linear Equations in Two Variables; The Rectangular Coordinate System

11.2 Graphing Linear Equations in Two Variables

11.3 The Slope of a Line

11.4 Writing and Graphing Equations of Lines

11.5 Graphing Linear Inequalities in Two Variables

**12. Exponents and Polynomials**

12.1 Adding and Subtracting Polynomials

12.2 The Product Rule and Power Rules for Exponents

12.3 Multiplying Polynomials

12.4 Special Products

12.5 Integer Exponents and the Quotient Rule

12.6 Dividing a Polynomial by a Monomial

12.7 Dividing a Polynomial by a Polynomial

12.8 An Application of Exponents: Scientific Notation

**13. Factoring and Applications**

13.1 Factors; The Greatest Common Factor

13.2 Factoring Trinomials

13.3 Factoring Trinomials by Grouping

13.4 Factoring Trinomials by Using the FOIL Method

13.5 Special Factoring Techniques

13.6 A General Approach to Factoring

13.7 Solving Quadratic Equations by Factoring

13.8 Applications of Quadratic Equations

**14. Rational Expressions and Applications**

14.1 The Fundamental Property of Rational Expressions

14.2 Multiplying and Dividing Rational Expressions

14.3 Least Common Denominators

14.4 Adding and Subtracting Rational Expressions

14.5 Complex Fractions

14.6 Solving Equations with Rational Expressions

14.7 Applications of Rational Expressions

14.8 Variation

**15. Systems of Linear Equations and Inequalities**

15.1 Solving Systems of Linear Equations by Graphing

15.2 Solving Systems of Linear Equations by Substitution

15.3 Solving Systems of Linear Equations by Elimination

15.4 Applications of Linear Systems

15.5 Solving Systems of Linear Inequalities

**16. Roots and Radicals**

16.1 Evaluating Roots

16.2 Multiplying, Dividing, and Simplifying Radicals

16.3 Adding and Subtracting Radicals

16.4 Rationalizing the Denominator

16.5 More Simplifying and Operations with Radicals

16.6 Solving Equations with Radicals

**17. Quadratic Equations**

17.1 Solving Quadratic Equations by the Square Root Property

17.2 Solving Quadratic Equations by Completing the Square

17.3 Solving Quadratic Equations by the Quadratic Formula

17.4 Graphing Quadratic Equations

17.5 Introduction to Functions

**Appendix A: Measurement**

A.1 Problem Solving with U.S. Measurement Units

A.2 The Metric System-Length

A.3 The Metric System-Capacity and Weight (Mass)

A.4 Metric-U.S. Measurement Conversions and Temperature

**Appendix B: Inductive and Deductive Reasoning**

**Other Appendices:**

- Set Operations and Compound Inequalities

- Absolute Value Equations and Inequalities

- Writing Equations of Parallel and Perpendicular Lines

- Rational Exponents

Answers to Selected Exercises

Solutions to Selected Exercises

Index