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.

• Prealgebra Review R.1 Factors and the Least Common MultipleR.2 FractionsR.3 Decimals and PercentsGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter TestReal 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 Numbers Integrated Review - Operations on Real Numbers1.6 Multiplying and Dividing Real Numbers1.7 Properties of Real Numbers1.8 Simplifying ExpressionsGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter TestEquations, 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 Linear Inequalities and Problem SolvingGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter TestCumulative ReviewGraphing Equations and Inequalities 3.1 Reading Graphs and the Rectangular Coordinate System3.2 Graphing Linear Equations3.3 Intercepts3.4 Slope and Rate of Change Integrated Review - Summary on Solving Linear Equations3.5 Equations of Lines3.6 Graphing Linear Inequalities in Two VariablesGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter TestCumulative ReviewSystems of Equations 4.1 Solving Systems of Linear Equations by Graphing4.2 Solving Systems of Linear Equations by Substitution Integrated Review - Summary on Solving Systems of Equations4.3 Solving Systems of Linear Equations by Addtion4.4 Systems of Linear Equations and Problem SolvingGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter TestCumulative ReviewExponents and Polynomials 5.1 Exponents5.2 Negative Exponents and Scientific Notation5.3 Introduction to Polynomials5.5 Multiplying Polynomials5.6 Special Products Integrated Review - Exponents and Operations on Polynomials5.7 Dividing PolynomialsGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter TestCumulative ReviewFactoring 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 Products Integrated Review - Choosing a Factoring Strategy6.6 Solving Quadratic Equations and Problem SolvingGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter TestCumulative ReviewRational 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 Expressions Integrated Review - Summary on Rational Expressions7.6 Proportions and Problem Solving with Rational Equations7.7 Simplifying Complex FractionsGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter TestCumulative ReviewGraphs and Functions 8.1 Review of Equations of Lines and Writing Parallel and Perpendicular Lines8.2 Introduction to Functions8.3 Polynomial and Rational Functions Integrated Review - Linear Equations in Two Variables and 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 ReviewSystems 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 Matrices Integrated Review - Systems of Linear Equations9.3 Systems of Linear Inequalities9.4 Variation and Problem SolvingGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter TestCumulative ReviewRational 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 Expressions Integrated Review - Radicals and Rational Exponents10.6 Radical Equations and Problem Solving10.7 Complex NumbersGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter TestCumulative ReviewQuadratic 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 Methods Integrated Review - Summary on Solving Quadratic Equations11.4 Nonlinear Inequalities in One Variable11.5 Quadratic Functions and Their Graphs11.6 Further Graphing of Quadratic FunctionsGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter TestCumulative ReviewExponential and Logarithmic Functions 12.1 The Algebra of Functions12.2 Inverse Functions12.3 Exponential Functions12.4 Exponential Functions12.5 Logarithmic Functions12.6 Properties of Logarithms Integrated Review - Functions and 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 ReviewConic Sections 13.1 The Parabola and the Circle13.2 The Ellipse and the Hyperbola Integrated Review - Graphing Conic Sections13.3 Solving Nonlinear Systems of Equations13.4 Nonlinear Inequalities and Systems of InequalitiesGroup ActivityVocabulary CheckChapter HighlightsChapter ReviewChapter TestCumulative ReviewAppendices A. Transition Review: Exponents, Polynomials, and Factoring StrategiesB. Transition Review: Solving Linear and Quadratic EquationsC. Sets and Compound InequalitiesD. Absolute Value Equations and InequalitiesE. Determinants and Cramer’s RuleF. Review of Angles, Lines, and Special TrianglesG. Stretching and Compressing Graphs of Absolute Value FunctionsH. An Introduction to Using a Graphing Utility