Prealgebra, 4th Edition

Each chapter ends with a Summary, Review Exercises, and a Chapter Test. With the exception of Chapters R and 1, each chapter also ends with a set of cumulative review exercises.

 

Study Skills: Your Brain Can Learn Mathematics

 

1. Introduction to Algebra: Integers

1.1 Place Value

            Study Skills: Using Your Textbook

1.2 Introduction to Signed Numbers

            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 on Operations with Integers

1.8 Exponents and Order of Operations

            Study Skills: Taking Lecture Notes

            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

            Summary Exercises on Variables and Expressions

            Study Skills: Using Study Cards Revisited

2.3 Solving Equations Using Addition

2.4 Solving Equations Using Division

2.5 Solving Equations with Several Steps

            Study Skills: Preparing for Tests

 

3. Solving Application Problems

3.1 Problem Solving: Perimeter

3.2 Problem Solving: Area

            Summary Exercises on 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 Taking Math Tests

 

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 on 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 on Decimals

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 on 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

7.4 Problem Solving with Percent

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

            Summary Exercises on Percent

            Study Skills: Preparing for Your Final Exam

 

8. Measurement

8.1 Problem Solving with U.S. Customary Measurement

8.2 The Metric System-Length

8.3 The Metric System-Capacity and Weight (Mass)

            Summary Exercises on U.S. Customary and Metric Units

8.4 Problem Solving with Metric Measurements

8.5 Metric-U.S. Customary Conversions and Temperature

 

9. Graphs

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 on Exponents

10.3 An Application of Exponents: Scientific Notation

10.4 Adding and Subtracting Polynomials

10.5 Multiplying Polynomials: An Introduction

 

Whole Numbers Computation: Pretest

 

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

 

Appendix: Inductive and Deductive Reasoning

 

Answers to Selected Exercises

Solutions to Selected Exercises

Index