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 Review  R.1 Factors and the Least Common MultipleR.2 FractionsR.3 Decimals and PercentsGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter Test  1. Real Numbers and Introduction to Algebra  1.1 Study Skills Tips for Sucess in Mathematics1.2 Symbols and Sets of Numbers1.3 Expnents, Order of Operations, and Variable Expressions1.4 Adding Real Numbers1.5 Subtracting Real Numbers1.6 Multiplying and Dividing Real Numbers1.7 Properties of Real Numbers1.8 Simplifying ExpressionsGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter Test  2. Equations, Inequalities, and Problem Solving  2.1 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 SolvingGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter TestCumulative Review     3. Graphing Equations and Inequalities  3.1 Reading Graphs and the Rectangular Coordinate System3.2 Graphing Linear Equations3.3 Intercepts3.4 Slope and Rate of Change3.5 Equations of Lines3.6 Graphing Linear Inequalities in Two VariablesGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter TestCumulative Review  4. Systems of Equations  4.1 Solving Systems of Linear Equations by Graphing4.2 Solving Systems of Linear Equations by Substitution4.3 Solving Systems of Linear Equations by Addtion4.4 Systems of Linear Equations and Problem SolvingGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter TestCumulative Review  5. Exponents and Polynomials  5.1 Exponents5.2 Negative Exponents and Scientific Notation5.3 Introduction to Polynomials5.5 Multiplying Polynomials5.6 Special Products5.7 Dividing PolynomialsGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter TestCumulative Review  6. Factoring Polynomials  6.1 The Greatest Common Factor and Factoring by Grouping6.2 Factoring Trinomials of the Form x2 + bx + c6.3 Factoring Trinomials of the Form ax2 + bx + c6.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping6.5 Factoring by Special Products6.6 Solving Quadratic Equations and Problem SolvingGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter TestCumulative Review  7. Rational Expressions  7.1 Simplifying Rational Expressions7.2 Multiplying and Dividing Rational Expressions7.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator7.4 Adding and Subtracting Rational Expressions with Different Denominators7.5 Solving Equations Containing Rational Expressions7.6 Proportions and Problem Solving with Rational Equations7.7 Simplifying Complex FractionsGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter TestCumulative Review  8. Graphs and Functions  8.1 Review of Equations of Lines and Writing Parallel and Perpendicular Lines8.2 Introduction to Functions8.3 Polynomial and Rational Functions8.4 Interval Notation, Finding Domains and Ranges from Graphs, and Graphing Piecewise-Defined Functions8.5 Shifting and Reflecting Graphs of FunctionsGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter TestCumulative Review  9. Systems of Equations and Inequalities and Variation  9.1 Solving Systems of Linear Equations in Three Variables and Problem Solving9.2 Solving Systems of Equations Using Matrices9.3 Systems of Linear Inequalities9.4 Variation and Problem SolvingGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter TestCumulative Review  10. Rational Exponents, Radicals, and Complex Numbers  10.1 Radical Expressions and Radical Functions10.2 Rational Exponents10.3 Simplifying Radical Expressions10.4 Adding, Subtracting, and Multiplying Radical Expressions10.5 Rationalizing Numerators and Denominators of Radical Expressions10.6 Radical Equations and Problem Solving10.7 Complex NumbersGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter TestCumulative Review  11. Quadratic Equations and Functions  11.1 Solving Quadratic Equations by Completing the Square11.2 Solving Quadratic Equations by Using the Quadratic Formula11.3 Solving Equations by Using Quadratic Methods11.4 Nonlinear Inequalities in One Variable11.5 Quadratic Functions and Their Graphs11.6 Further Graphing of Quadratic FunctionsGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter TestCumulative Review          12. Exponential and Logarithmic Functions  12.1 The Algebra of Functions12.2 Inverse Functions12.3 Exponential Functions12.4 Exponential Functions12.5 Logarithmic Functions12.6 Properties of Logarithms12.7 Common Logarithms, Natural Logarithms, and Change of Base12.8 Exponential and Logarithmic Equations and Problem SolvingGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter TestCumulative Review  13. Conic Sections  13.1 The Parabola and the Circle13.2 The Ellipse and the Hyperbola13.3 Solving Nonlinear Systems of Equations13.4 Nonlinear Inequalities and Systems of InequalitiesGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter TestCumulative Review  AppendicesAppendix A: Transition Review: Exponents, Polynomials, and Factoring StrategiesAppendix B: Transition Review: Solving Linear and Quadratic EquationsAppendix C: Sets and Compound InequalitiesAppendix D: Absolute Value Equations and InequalitiesAppendix E: Determinants and Cramer’s RuleAppendix F: Review of Angles, Lines, and Special TrianglesAppendix G: Stretching and Compressing Graphs of Absolute Value FunctionsAppendix H: An Introduction to Using a Graphing Utility