Prealgebra

Elayn Martin-Gay, University of New Orleans 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.    In addition to this 5th Edition of Prealgebra, Elayn also authors Prealgebra and Introductory Algebra 2e  and the recently published ©2007 Worktext Series:  Basic College Mathematics 3e, Introductory Algebra 3e, Intermediate Algebra 3e, and Algebra A Combined Approach 3e and two new first editions worktexts, Basic College Mathematics with Early Integers, and Developmental Mathematics. Elayn Martin-Gay also authors a best-selling ©2005 Hardback Series:  Beginning Algebra 4e, Intermediate Algebra 4e, Intermediate Algebra: A Graphing Approach 3e, and Beginning and Intermediate Algebra 3e.   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 originated the Chapter Test Prep Video CD 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.

Chapter 1 Whole Numbers and Introduction to Algebra

1.1 Tips for success in Mathematics

1.2 Place Value and Names for Numbers

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

 

Chapter 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

 

Chapter 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

 

Chapter 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

Denominators 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

 

Chapter 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 Equations Containing Decimals

5.7 Decimal Applications: Mean, Median, and Mode

 

Chapter 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

 

Chapter 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

 

Chapter 8 Graphing and Introduction to Statistics

8.1 Reading Pictographs, Bar Graphs, 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

 

Chapter 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 US and Metric Systems

 

Chapter 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 The Bigger Picture

Appendix C The Quotient Rule and Negative Exponents

Appendix D  Scientific Notation