Prealgebra

About our 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 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 13 published textbooks and a new Interactive Assignment MyLab® Math course, all specializing in developmental mathematics courses. She has also published series in Algebra 1, Algebra 2, and Geometry. She has participated as an author across the broadest range of educational materials: textbooks, videos, tutorial software, and courseware. This provides an opportunity of various combinations for an integrated teaching and learning package offering great consistency for the student.

Table of Contents



The Whole Numbers

1.1 Study Skill 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

Integrated Review–Operations on Whole Numbers


1.7 Exponents and Order of Operations
1.8 Introduction to Variables, Algebraic Expressions, and Equations


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


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


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


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


Ratio, Proportion, and Triangle Applications

6.1 Ratios and Rates
6.2 Proportions

Integrated Review–Ratio, Rate, and Proportion


6.3 Proportions and Problem Solving
6.4 Square Roots and the Pythagorean Theorem
6.5 Congruent and Similar Triangles


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 Applications of Percent
7.5 Percent and Problem Solving: Sales Tax, Commission, and Discount
7.6 Percent and Problem Solving: Interest


Graphing and Introduction to Statistics and Probability

8.1 Pictographs, Bar Graphs, Histograms, Line Graphs, and Introduction to Statistics
8.2 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


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


Exponents and Polynomials

10.1 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



Appendix A: Tables

A.1 Tables of Geometric Figures
A.2 Table of Percents, Decimals, and Fraction Equivalents
A.3 Table on Finding Common Percents of a Number
A.4 Table of 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