Description
Book SynopsisAbout 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,
Table of Contents
Table of Contents
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Chapter R. Prealgebra Review
- R.1 Factors and the Least Common Multiple
- R.2 Fractions
- R.3 Decimals and Percents
- R.4 Reading Pictographs and Bar, Line, and Circle Graphs
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Chapter 1. Real Numbers and Introduction to Algebra
- 1.1 Tips for Success in Mathematics
- 1.2 Symbols and Sets of Numbers
- 1.3 Exponents, Order of Operations, and Variable Expressions
- 1.4 Adding Real Numbers
- 1.5 Subtracting Real Numbers
- Integrated Review – Operations on Real Numbers
- 1.6 Multiplying and Dividing Real Numbers
- 1.7 Properties of Real Numbers
- 1.8 Simplifying Expressions
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Chapter 2. Equations, Inequalities, and Problem Solving
- 2.1 The Addition Property of Equality
- 2.2 The Multiplication Property of Equality
- 2.3 Further Solving Linear Equations
- Integrated Review – Solving Linear Equations
- 2.4 An Introduction to Problem Solving
- 2.5 Formulas and Problem Solving
- 2.6 Percent and Mixture Problem Solving
- 2.7 Solving Linear Inequalities and Problem Solving
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Chapter 3. Exponents and Polynomials
- 3.1 Exponents
- 3.2 Negative Exponents and Scientific Notation
- 3.3 Introduction to Polynomials
- 3.4 Adding and Subtracting Polynomials
- 3.5 Multiplying Polynomials
- 3.6 Special Products
- Integrated Review – Exponents and Operations on Polynomials
- 3.7 Dividing Polynomials
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Chapter 4. Factoring Polynomials
- 4.1 The Greatest Common Factor and Factoring by Grouping
- 4.2 Factoring Trinomials of the Form x2 bx + c
- 4.3 Factoring Trinomials of the Form ax2 + bx + c
- 4.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping
- 4.5 Factoring Perfect Square Trinomials and the Difference of Two Squares
- Integrated Review – Choosing a Factoring Strategy
- 4.6 Solving Quadratic Equations by Factoring
- 4.7 Quadratic Equations and Problem Solving
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Chapter 5. Rational Expressions
- 5.1 Simplifying Rational Expressions
- 5.2 Multiplying and Dividing Rational Expressions
- 5.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator
- 5.4 Adding and Subtracting Rational Expressions with Different Denominators
- 5.5 Solving Equations Containing Rational Expressions
- Integrated Review – Summary on Rational Expressions
- 5.6 Proportions and Problem Solving with Rational Equations
- 5.7 Simplifying Complex Fractions
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Chapter 6. Graphing Equations and Inequalities
- 6.1 The Rectangular Coordinate System
- 6.2 Graphing Linear Equations
- 6.3 Intercepts
- 6.4 Slope and Rate of Change
- 6.5 Equations of Lines
- Integrated Review – Summary on Linear Equations
- 6.6 Introduction to Functions
- 6.7. Graphing Linear Inequalities in two Variables
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Chapter 7. Systems of Equations
- 7.1 Solving systems of Linear Equations by Graphing
- 7.2 Solving Systems of Linear Equations by Substitution
- 7.3 Solving Systems of Linear Equations by Addition
- Integrated Review – Systems of Linear Equations
- 7.4 Systems of Linear Equations and Problem Solving
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Chapter 8. Roots and Radicals
- 8.1 Introduction to Radicals
- 8.2 Simplifying Radicals
- 8.3 Adding and Subtracting Radicals
- 8.4 Multiplying and Dividing Radicals
- Integrated Review – Simplifying Radicals
- 8.5 Solving Equations Containing Radicals
- 8.6 Radical Equations and Problem Solving
- 8.7 Direct and Inverse Variation Including Radical Applications
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Chapter 9. Quadratic Equations
- 9.1 Solving Quadratic Equations by the Square Root Property
- 9.2 Solving Quadratic Equations by Completing the Square
- 9.3 Solving Quadratic Equations by the Quadratic Formula
- Integrated Review – Summary of Solving Quadratic Equations
- 9.4 Graphing Quadratic Equations in Two Variables
Appendices:
- Appendix A. Tables
- Appendix B. Factoring Sums and Differences of Cubes
- Appendix C. Mean, Median, Mode, Range, and Intro to Statistics
- Appendix D. Sets
- Appendix E. Review of Angles, Lines, and Special Triangles
- Appendix F. Interval Notation and Finding Domains and Ranges from Graphs
