Prealgebra

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 Martin-Gay developed an acclaimed series of lecture videos to support developmental mathematics students. These highly successful videos originally served as the foundation materials for her texts. Today, the videos are specific to each book in her series. She has also created Chapter Test Prep Videos to help students during their most “teachable moment”—as they prepare for a test—along with Instructor-to-Instructor videos that provide teaching tips, hints, and suggestions for every developmental mathematics course, including basic mathematics, prealgebra, beginning algebra, and intermediate algebra.   Elayn is the author of 12 published textbooks and numerous multimedia interactive products, all specializing in developmental mathematics courses. She has participated as an author across a broad range of educational materials: textbooks, videos, tutorial software, and courseware. This offers an opportunity for multiple combinations for an integrated teaching and learning package, offering great consistency for the student.

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