Introductory Algebra

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 12 published textbooks and numerous multimedia interactive products, 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 a broad range of educational materials: textbooks, videos, tutorial software, and courseware. This offers an opportunity for multiple combinations for an integrated teaching and learning package, offering great consistency for the student.

• R. Prealgebra ReviewR.1 Factors and the Least Common MultipleR.2 FractionsR.3 Decimals1. Real Numbers and Introduction to Algebra1.1 Study Skill Tips for Success in Mathematics1.2 Symbols and Sets of Numbers1.3 Exponents, Order of Operations, and Varible Expressions1.4 Adding Real Numbers1.5 Subtracting Real Numbers1.6 Multiplying and Dividing Real Numberes1.7 Properties of Real Numbers1.8 Simplifying Expressions2. Equations, Inequalities, and Problem Solving2.1 The Addition Property of Equality2.2 The Multiplication Property of Equality2.3 Further Solving Linear Equations2.4 An Introduction to Problem Solving2.5 Formulas and Problem Solving2.6 Percent and Mixture Problem Solving2.7 Linear Inequalities and Problem Solving3. Exponents and Polynomials3.1 Exponents3.2 Negative Exponents and Scientific Notation3.3 Introduction to Polynomials3.4 Adding and Subtracting Polynomials3.5 Multiplying Polynomials3.6 Special Products3.7 Dividing Polynomials4. Factoring Polynomials4.1 The Greatest Common Factor and Factoring by Grouping4.2 Factoring Trinomials in the Form x^2 + bx + c4.3 Factoring Trinomials in the Form ax^2 + bx + c4.4 Factoring Trinomials of the Form ax^2 + bx + c by Grouping4.5 Factoring Perfect Square Trinomials and the Difference of Two Squares4.6 Solving Quadratic Equations by Factoring4.7 Quadratic Equations and Problem Solving5. Rational Expressions5.1 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 Expressions5.6 Proportions and Problem Solving with Rational Equations5.7 Simplifying Complex Fractions6. Graphing Equations and Inequalities6.1 Reading Graphs and the Rectangular Coordinate System6.2 Graphing Linear Equations6.3 Intercepts6.4 Slope and Rate of Change6.5 Equation of Line6.6 Introduction to Functions6.7 Graphing Linear Inequalities in Two Variables6.8 Direct and Inverse Variation7. Systems of Equations7.1 Solving Systems of Linear Equations by Graphing7.2 Solving Systems of Linear Equations by Substitution7.3 Solving Systems of Linear Equations by Addition7.4 Systems of Linear Equations and Problem Solving8. Roots and Radicals8.1 Introduction to Radicals8. 2 Simplifying Radicals8.3 Adding and Subtracting Radicals8.4 Multiplying and Dividing Radicals8.5 Solving Equations Containing Radicals8.6 Radical Equations and Problem Solving9. Quadratic Equations9.1 Solving Quadratic Equations by the Square Root Property9.2 Solving Quadratic Equations by Completing the Square9.3 Solving Quadratic Equations by the Quadratic Formula  AppendicesAppendix A: Factoring Sums and Differences of CubesAppendix B: Mean, Median, and ModeAppendix C: SetsAppendix D: Review of Angles, Lines, and Special TrianglesAppendix E: Tables