## Table of Contents

**Pretest: Whole Numbers Computation **

**1. Introduction to Algebra: Integers**

**Study Skills **Your Brain *Can *Learn Mathematics

**1.1 **Place Value

**Study Skills **Using Your Text

**1.2 **Introduction to Integers

**Study Skills **Homework: How, Why, and When

**1.3 **Adding Integers

**1.4 **Subtracting Integers

**1.5 **Problem Solving: Rounding and Estimating

**1.6 **Multiplying Integers

**1.7 **Dividing Integers

*Summary Exercises **Operations with Integers *

**Study Skills **Taking Lecture Notes

**1.8 **Exponents and Order of Operations

**Study Skills **Reviewing a Chapter

**Study Skills **Managing Your Time

**2. Understanding Variables and Solving Equations**

**2.1 **Introduction to Variables

**Study Skills **Using Study Cards

**2.2 **Simplifying Expressions

**Study Skills **Using Study Cards Revisited

*Summary Exercises **Variables and Expressions*

**2.3 **Solving Equations Using Addition

**2.4 **Solving Equations Using Division

**2.5 **Solving Equations with Several Steps

**Study Skills **Tips for Taking Math Tests

**3. Solving Application Problems **

**3.1 **Problem Solving: Perimeter

**3.2 **Problem Solving: Area

*Summary Exercises **Perimeter and Area *

**3.3 **Solving Application Problems with One Unknown Quantity

**3.4 **Solving Application Problems with Two Unknown Quantities

**Study Skills **Tips for Improving Test Scores

**4. Rational Numbers: Positive and Negative Fractions**

**4.1 **Introduction to Signed Fractions

**4.2 **Writing Fractions in Lowest Terms

**4.3 **Multiplying and Dividing Signed Fractions

**4.4 **Adding and Subtracting Signed Fractions

**Study Skills **Making a Mind Map

**4.5 **Problem Solving: Mixed Numbers and Estimating

*Summary Exercises **Computation with Fractions *

**4.6 **Exponents, Order of Operations, and Complex Fractions

**4.7 **Problem Solving: Equations Containing Fractions

**4.8 **Geometry Applications: Area and Volume

**Study Skills **Analyzing Your Test Results

**5. Rational Numbers: Positive and Negative Decimals**

**5.1 **Reading and Writing Decimal Numbers

**5.2 **Rounding Decimal Numbers

**5.3 **Adding and Subtracting Signed Decimal Numbers

**5.4 **Multiplying Signed Decimal Numbers

**5.5 **Dividing Signed Decimal Numbers

*Summary Exercises **Computation with Decimal Numbers *

**5.6 **Fractions and Decimals

**5.7 **Problem Solving with Statistics: Mean, Median, and Mode

**5.8 **Geometry Applications: Pythagorean Theorem and Square Roots

**5.9 **Problem Solving: Equations Containing Decimals

**5.10 **Geometry Applications: Circles, Cylinders, and Surface Area

**6. Ratio, Proportion, and Line/ Angle/Triangle Relationships **

**6.1 **Ratios

**6.2 **Rates

**6.3 **Proportions

*Summary Exercises **Ratios, Rates, and Proportions *

**6.4 **Problem Solving with Proportions

**6.5 **Geometry: Lines and Angles

**6.6 **Geometry Applications: Congruent and Similar Triangles

**7. Percent **

**7.1 **The Basics of Percent

**7.2 **The Percent Proportion

**7.3 **The Percent Equation

*Summary Exercises **Percent Computation *

**7.4 **Problem Solving with Percent

**7.5 **Consumer Applications: Sales Tax, Tips, Discounts, and Simple Interest

**Study Skills **Preparing for Your Final Exam

**8. Measurement **

**8.1 **Problem Solving with U.S. Measurement Units

**8.2 **The Metric System–Length

8.3 The Metric System–Capacity and Weight (Mass)

*Summary Exercises **U.S. and Metric Measurement Units *

**8.4 **Problem Solving with Metric Measurement

**8.5 **Metric—U.S. Measurement Conversions and Temperature

**9. Graphs and Graphing **

**9.1 **Problem Solving with Tables and Pictographs

**9.2 **Reading and Constructing Circle Graphs

**9.3 **Bar Graphs and Line Graphs

**9.4 **The Rectangular Coordinate System

**9.5 **Introduction to Graphing Linear Equations

**10. Exponents and Polynomials **

**10.1 **The Product Rule and Power Rules for Exponents

**10.2 **Integer Exponents and the Quotient Rule

*Summary Exercises **Using Exponent Rules *

**10.3 **An Application of Exponents: Scientific Notation

**10.4 **Adding and Subtracting Polynomials

**10.5 **Multiplying Polynomials: An Introduction

**R. Whole Numbers Review **

**R.1 **Adding Whole Numbers

**R.2 **Subtracting Whole Numbers

**R.3 **Multiplying Whole Numbers ** **

**R.4 **Dividing Whole Numbers

**R.5 **Long Division

**8.3 **The Metric System–Capacity and Weight (Mass)

*Summary Exercises **U.S. and Metric Measurement Units *

**8.4 **Problem Solving with Metric Measurement

**8.5 **Metric—U.S. Measurement Conversions and Temperature

**Appendix: Inductive and Deductive Reasoning **