Introductory Algebra

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.

• Chapter R. Prealgebra Review R.1 Factors and the Least Common MultipleR.2 FractionsR.3 Decimals and PercentsR.4 Reading Pictographs and Bar, Line, and Circle GraphsChapter 1. Real Numbers and Introduction to Algebra 1.1 Tips for Success in Mathematics1.2 Symbols and Sets of Numbers1.3 Exponents, Order of Operations, and Variable Expressions1.4 Adding Real Numbers1.5 Subtracting Real Numbers Integrated Review – Operations on Real Numbers1.6 Multiplying and Dividing Real Numbers1.7 Properties of Real Numbers1.8 Simplifying ExpressionsChapter 2. Equations, Inequalities, and Problem Solving 2.1 The Addition Property of Equality2.2 The Multiplication Property of Equality2.3 Further Solving Linear Equations Integrated Review – Solving Linear Equations2.4 An Introduction to Problem Solving2.5 Formulas and Problem Solving2.6 Percent and Mixture Problem Solving2.7 Solving Linear Inequalities and Problem SolvingChapter 3. Exponents and Polynomials 3.1 Exponents3.2 Negative Exponents and Scientific Notation3.3 Introduction to Polynomials3.4 Adding and Subtracting Polynomials3.5 Multiplying Polynomials3.6 Special Products Integrated Review – Exponents and Operations on Polynomials3.7 Dividing PolynomialsChapter 4. Factoring Polynomials 4.1 The Greatest Common Factor and Factoring by Grouping4.2 Factoring Trinomials of the Form x2 bx + c4.3 Factoring Trinomials of the Form ax2 + bx + c4.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping4.5 Factoring Perfect Square Trinomials and the Difference of Two Squares Integrated Review – Choosing a Factoring Strategy4.6 Solving Quadratic Equations by Factoring4.7 Quadratic Equations and Problem SolvingChapter 5. Rational Expressions 5.1 Simplifying Rational Expressions5.2 Multiplying and Dividing Rational Expressions5.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator5.4 Adding and Subtracting Rational Expressions with Different Denominators5.5 Solving Equations Containing Rational Expressions Integrated Review – Summary on Rational Expressions5.6 Proportions and Problem Solving with Rational Equations5.7 Simplifying Complex FractionsChapter 6. Graphing Equations and Inequalities 6.1 The Rectangular Coordinate System6.2 Graphing Linear Equations6.3 Intercepts6.4 Slope and Rate of Change6.5 Equations of Lines Integrated Review – Summary on Linear Equations6.6 Introduction to Functions6.7. Graphing Linear Inequalities in two VariablesChapter 7. Systems of Equations 7.1 Solving systems of Linear Equations by Graphing7.2 Solving Systems of Linear Equations by Substitution7.3 Solving Systems of Linear Equations by Addition Integrated Review – Systems of Linear Equations7.4 Systems of Linear Equations and Problem SolvingChapter 8. Roots and Radicals 8.1 Introduction to Radicals8.2 Simplifying Radicals8.3 Adding and Subtracting Radicals8.4 Multiplying and Dividing Radicals Integrated Review – Simplifying Radicals8.5 Solving Equations Containing Radicals8.6 Radical Equations and Problem Solving8.7 Direct and Inverse Variation Including Radical ApplicationsChapter 9. Quadratic Equations 9.1 Solving Quadratic Equations by the Square Root Property9.2 Solving Quadratic Equations by Completing the Square9.3 Solving Quadratic Equations by the Quadratic Formula Integrated Review – Summary of Solving Quadratic Equations9.4 Graphing Quadratic Equations in Two VariablesAppendices A. TablesB. Factoring Sums and Differences of CubesC. Mean, Median, Mode, Range, and Intro to StatisticsD. SetsE. Review of Angles, Lines, and Special TrianglesF. Interval Notation and Finding Domains and Ranges from Graphs