## Table of Contents

**1. Whole Numbers **

1.1 Tips for success in Mathematics

1.2 Place Value, Names for Numbers, and Reading Tables

1.3 Adding and Subtracting Whole Numbers, and Perimeter

1.4 Rounding and Estimating

1.5 Multiplying Whole Numbers and Area

1.6 Dividing Whole Numbers and Area

*Integrated Review – Operations on Whole Numbers*

1.7 Exponents and Order of Operations

1.8 Introduction to Variables, Algebraic Expressions, and Equations

**2. Integers and Introduction to Solving Equations**

2.1 Introduction to Integers

2.2 Adding Integers

2.3 Subtracting Integers

2.4 Multiplying and Dividing Integers

*Integrated Review – Integers*

2.5 Order of Operations

2.6 Solving Equations: The Addition and Multiplication Properties

**3. Solving Equations and Problem Solving**

3.1 Simplifying Algebraic Expressions

3.2 Solving Equations: Review of the Addition and Multiplication Properties

*Integrated Review - Expressions and* *Equations*

3.3 Solving Linear Equations in One Variable

3.4 Linear Equations in One Variable and Problem Solving

**4. Fractions and Mixed Numbers**

4.1 Introduction to Fractions and Mixed Numbers

4.2 Factors and Simplest Form

4.3 Multiplying and Dividing Fractions

4.4 Adding and Subtracting Like Fractions, Least Common Denominator and Equivalent Fractions

4.5 Adding and Subtracting Unlike Fractions

*Integrated Review - Summary on Fractions and Operations on Fractions*

4.6 Complex Fractions and Review of Order of Operations

4.7 Operations on Mixed Numbers

4.8 Solving Equations Containing Fractions

**5. Decimals**

5.1 Introduction to Decimals

5.2 Adding and Subtracting Decimals

5.3 Multiplying Decimals and Circumference of a Circle

5.4 Dividing Decimals

*Integrated Review - Operations on Decimals*

5.5 Fractions, Decimals, and Order of Operations

5.6 Solving Equations Containing Decimals

5.7 Decimal Applications: Mean, Median, and Mode

**6. Ratio, Proportion, and Triangle Applications**

6.1 Ratios and Rates

6.2 Proportions

*Integrated Review - Ratio, Rate, and Proportions*

6.3 Proportions and Problem Solving

6.4 Square Roots and the Pythagorean Theorem

6.5 Congruent and Similar Triangles

**7. Percent**

7.1 Percents, Decimals, and Fractions

7.2 Solving Percent Problems with Equations

7.3 Solving Percent Problems with Proportions

*Integrated Review - Percent and Percent Problems*

7.4 Application of Percent

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

7.6 Percent and Problem Solving: Interest

**8. Graphing and Introduction to Statistics**

8.1 Reading Pictographs, Bar Graphs, Histograms, and Line Graphs

8.2 Reading Circle Graphs

8.3 The Rectangular Coordinate System and Paired Data

*Integrated Review - Reading Graphs*

8.4 Graphing Linear Equations in Two Variables

8.5 Counting and Introduction to Probability

**9. Geometry and Measurement**

9.1 Lines and Angles

9.2 Perimeter

9.3 Area, Volume, and Surface Area

*Integrated Review - Geometry Concepts*

9.4 Linear Measurement

9.5 Weight and Mass

9.6 Capacity

9.7 Temperature and Conversions between the U.S. and Metric Systems

**10. Exponents and Polynomials**

101. Adding and Subtracting Polynomials

10.2 Multiplication Properties of Exponents

*Integrated Review - Operations on Polynomials*

10.3 Multiplying Polynomials

10.4 Introduction to Factoring Polynomials

**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

Appendix B. Quotient Rule and Negative Exponents

Appendix C. Scientific Notation

Appendix D. Geometric Formulas

Student Resources

Study Skills Builders

Bigger Picture—Study Guide Outline

Practice Final Exam

Answers to Selected Exercises

Solutions to Selected Exercises