Intermediate 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.

• 1. Real Numbers and Algebraic Expressions  1.1 Study Skill Tips for Success in Mathematics1.2 Algebraic Expressions and Sets of Numbers1.3 Equations, Inequalities, and Properties of Real Numbers1.4 Operations on Real Numbers1.5 Order of Operations and Algebraic Expressions1.6 Exponents and Scientific Notation1.7 More Work with Exponents and Scientific NotationGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter Test  2. Equations, Inequalities, and Problem Solving  2.1 Linear Equations in One Variable2.2 An Introduction to Problem Solving2.3 Formulas and Problem Solving2.4 Linear Inequalities and Problem Solving2.5 Sets and Compound Inequalities2.6 Absolute Value Equations2.7 Absolute Value InequalitiesGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter Test  3. Graphs and Functions  3.1 Graphing Linear Equations3.2 The Slope of a Line3.3 The Slope-Intercept Form3.4 More Equations of Lines3.5 Graphing Linear Inequalities3.6 Introduction to Functions3.7 Finding Domains and Ranges from Graphs and Graphing Piecewise-Defined Functions3.8 Shifting and Reflecting Graphs of FunctionsGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter Test     4. Systems of Equations and Inequalities  4.1 Solving Systems of Linear Equations in Two Variables4.2 Solving Systems of Linear Equations in Three Variables4.3 Systems of Linear Equations and Problem Solving4.4 Solving Systems of Equations Using Matrices4.5 Systems of Linear InequalitiesGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter Test  5. Polynomials and Polynomial Functions  5.1 Polynomial Functions and Adding and Subtracting Polynomials5.2 Multiplying Polynomials5.3 Dividing Polynomials and Synthetic Division5.4 The Greatest Common Factor and Factoring by Grouping5.5 Factoring Trinomials5.6 Factoring by Special  Products5.7 Solving Equations by Factoring and Solving ProblemsGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter Test  6. Rational Expressions  6.1 Rational Functions and Multiplying and Dividing Rational Expressions6.2 Adding and Subtracting Rational Expressions6.3 Simplifying Complex Fractions6.4 Solving Equations Containing Rational Expressions6.5 Rational Equations and Problem Solving6.6 Variation and Problem SolvingGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter Test  7. Rational Exponents, Radicals, and Complex Numbers  7.1 Radical Expressions and Radical Functions7.2 Rational Exponents7.3 Simplifying Radical Expressions7.4 Adding, Subtracting, and Multiplying Radical Expressions7.5 Rationalizing Numerators and Denominators of Radical Expressions7.6 Radical Equations and Problem Solving7.7 Complex NumbersGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter Test  8. Quadratic Equations and Functions  8.1 Solving Quadratic Equations by Completing the Square8.2 Solving Quadratic Equations by Using the Quadratic Formula8.3 Solving Equations by Using Quadratic Methods8.4 Nonlinear Inequalities in One Variable8.5 Quadratic Functions and Their Graphs8.6 Further Graphing of Quadratic FunctionsGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter Test  9. Exponential and Logarithmic Functions  9.1 The Algebra of Functions9.2 Inverse Functions9.3 Exponential Functions9.4 Exponential Growth and Decay Functions9.5 Logarithmic Functions9.6 Properties of Logarithms9.7 Common Logarithms, Natural Logarithms, and Change of Base9.8 Exponential and Logarithmic Equations and Problem SolvingGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter Test  10. Conic Sections  10.1 The Parabola and the Circle10.2 The Ellipse and the Hyperbola10.3 Solving Nonlinear Systems of Equations10.4 Nonlinear Inequalities and Systems of InequalitiesGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter Test  AppendicesAppendix A: FractionsAppendix B: Solving Systems of Equations Using DeterminantsAppendix C: An Introduction to Using a Graphing UtilityAppendix D: Stretching and Compressing Graphs of Absolute Value FunctionsAppendix E: Review of Angles, Lines, and Special Triangles