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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 videos useful for review.
Her textbooks and acclaimed video program support Elayn's passion of helping everystudent to succeed.
1. The 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
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 Percent
6.1 Ratio and Proportion
6.2 Percents, Decimals, and Fractions
6.3 Solving Percent Problems with Equations
6.4 Solving Percent Problems with Proportions
Integrated Review–Ratio, Proportion, and Percent
6.5 Applications of Percent
6.6 Percent and Problem Solving: Sales Tax, Commission, and Discount
6.7 Percent and Problem Solving: Interest
7. Graphs and Triangle Applications
7.1 Reading Pictographs, Bar Graphs, Histograms, and Line Graphs
7.2 Reading and Drawing Circle Graphs
Integrated Review–Reading Graphs
7.3 Square Roots and the Pythagorean Theorem
7.4 Congruent and Similar Triangles
7.5 Counting and Introduction to Probability
8. Geometry and Measurement
8.1 Lines and Angles
8.2 Perimeter
8.3 Area, Volume, and Surface Area
Integrated Review–Geometry Concepts
8.4 Linear Measurement
8.5 Weight and Mass
8.6 Capacity
8.7 Temperature and Conversions Between the U.S. and Metric Systems
9. Equations, Inequalities, and Problem Solving
9.1 Symbols and Sets of Numbers
9.2 Properties of Real Numbers
9.3 Further Solving Linear Equations
Integrated Review–Real Numbers and Solving
Linear Equations
9.4 Further Problem Solving
9.5 Formulas and Problem Solving
9.6 Linear Inequalities and Problem Solving
10. Exponents and Polynomials
10.1 Exponents
10.2 Negative Exponents and Scientific Notation
10.3 Introduction to Polynomials
10.4 Adding and Subtracting Polynomials
10.5 Multiplying Polynomials
10.6 Special Products
Integrated Review–Exponents and Operations on Polynomials
10.7 Dividing Polynomials
11. Factoring Polynomials
11.1 The Greatest Common Factor
11.2 Factoring Trinomials of the Form x ^{2}+ bx + c
11.3 Factoring Trinomials of the Form ax ^{2} + bx + c
11.4 Factoring Trinomials of the Form ax ^{2} + bx + c by Grouping
11.5 Factoring Perfect Square Trinomials and the Difference of Two Squares
Integrated Review–Choosing a Factoring Strategy
11.6 Solving Quadratic Equations by Factoring
11.7 Quadratic Equations and Problem Solving
12. Rational Expressions
12.1 Simplifying Rational Expressions
12.2 Multiplying and Dividing Rational Expressions
12.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator
12.4 Adding and Subtracting Rational Expressions with Different Denominators
12.5 Solving Equations Containing Rational Expressions
Integrated Review–Summary on Rational Expressions
12.6 Rational Equations and Problem Solving
12.7 Simplifying Complex Fractions
13. Graphing Equations and Inequalities
13.1 The Rectangular Coordinate System
13.2 Graphing Linear Equations
13.3 Intercepts
13.4 Slope and Rate of Change
13.5 Equations of Lines
Integrated Review–Summary on Linear Equations
13.6 Introduction to Functions
13.7 Graphing Linear Inequalities in Two Variables
13.8 Direct and Inverse Variation
14. Systems of Equations
14.1 Solving Systems of Linear Equations by Graphing
14.2 Solving Systems of Linear Equations by Substitution
14.3 Solving Systems of Linear Equations by Addition
Integrated Review–Summary on Solving Systems of Equations
14.4 Systems of Linear Equations and Problem Solving
15. Roots and Radicals
15.1 Introduction to Radicals
15.2 Simplifying Radicals
15.3 Adding and Subtracting Radicals
15.4 Multiplying and Dividing Radicals
Integrated Review–Simplifying Radicals
15.5 Solving Equations Containing Radicals
15.6 Radical Equations and Problem Solving
16. Quadratic Equations
16.1 Solving Quadratic Equations by the Square Root Property
16.2 Solving Quadratic Equations by Completing the Square
16.3 Solving Quadratic Equations by the Quadratic Formula
Integrated Review–Summary of Solving Quadratic Equations
16.4 Graphing Quadratic Equations in Two Variables
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. Factoring Sums and Differences of Cubes
Appendix C. Mixture and Uniform Motion Problem Solving
Appendix D. Systems of Linear Inequalities
Appendix E. Geometric Formulas
Student Resources
Study Skills Builders
Bigger Picture—Study Guide Outline
Practice Final Exam
Answers to Selected Exercises