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## Summary

**Elayn Martin-Gay** firmly believes that every student can succeed, and her developmental math textbooks and video resources are motivated by this belief. **Prealgebra, Sixth Edition** was written to help readers effectively make the transition from arithmetic to algebra.

**Martin-Gay**’s emphasis on **Study Skills** ensures that students make the most of their valuable study time in order to help them succeed in this course. **Student Resources**, located in the back of the text, gives students a variety of tools that are conveniently located in one place to help them achieve success in math.

The new edition offers new resources like the **Student Organizer** (available separately) and now includes **Student Resources** in the back of the book to help students on their quest for success.

## Author Biography

An award-winning instructor and best-selling author, **Elayn Martin-Gay** has taught mathematics at the University of New Orleans for more than 25 years. Her numerous teaching awards include the local University Alumni Association’s Award for *Excellence in Teaching*, and *Outstanding Developmental Educator* at University of New Orleans, presented by the Louisiana Association of Developmental Educators.

Prior to writing textbooks, Elayn developed an acclaimed series of lecture videos to support developmental mathematics students in their quest for success. These highly successful videos originally served as the foundation material for her texts. Today, the videos are specific to each book in the Martin-Gay series. Elayn also pioneered the **Chapter Test Prep Video** to help students as they prepare for a test–their most “teachable moment!”

Elayn’s experience has made her aware of how busy instructors are and what a difference quality support makes. For this reason, she created the **Instructor-to-Instructor** video series. These videos provide instructors with suggestions for presenting specific math topics and concepts in basic mathematics, prealgebra, beginning algebra, and intermediate algebra. Seasoned instructors can use them as a source for alternate approaches in the classroom. New or adjunct faculty may find the CDs useful for review.

Her textbooks and acclaimed video program support Elayn's passion of helping

**every**student to succeed.

## 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