Prealgebra & 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.

• The Whole Numbers 1.1 Study Skill Tips for Success in Mathematics1.2 Place Value, Names for Numbers, and Reading Tables1.3 Adding and Subtracting Whole Numbers, and Perimeter1.4 Rounding and Estimating1.5 Multiplying Whole Numbers and Area1.6 Dividing Whole Numbers Integrated Review–Operations on Whole Numbers1.7 Exponents and Order of Operations1.8 Introduction to Variables, Algebraic Expressions, and EquationsIntegers and Introduction to Solving Equations 2.1 Introduction to Integers2.2 Adding Integers2.3 Subtracting Integers2.4 Multiplying and Dividing Integers Integrated Review–Integers2.5 Order of Operations2.6 Solving Equations: The Addition and Multiplication PropertiesSolving Equations and Problem Solving 3.1 Simplifying Algebraic Expressions3.2 Solving Equations: Review of the Addition and Multiplication Properties Integrated Review–Expressions and Equations3.3 Solving Linear Equations in One Variable3.4 Linear Equations in One Variable and Problem SolvingFractions and Mixed Numbers 4.1 Introduction to Fractions and Mixed Numbers4.2 Factors and Simplest Form4.3 Multiplying and Dividing Fractions4.4 Adding and Subtracting Like Fractions, Least Common Denominator, and Equivalent Fractions4.5 Adding and Subtracting Unlike Fractions Integrated Review–Summary on Fractions and Operations on Fractions4.6 Complex Fractions and Review of Order of Operations4.7 Operations on Mixed Numbers4.8 Solving Equations Containing FractionsDecimals 5.1 Introduction to Decimals5.2 Adding and Subtracting Decimals5.3 Multiplying Decimals and Circumference of a Circle5.4 Dividing Decimals Integrated Review–Operations on Decimals5.5 Fractions, Decimals, and Order of Operations5.6 Solving Equations Containing Decimals5.7 Decimal Applications: Mean, Median, and ModeRatio, Proportion, and Percent 6.1 Ratio and Proportion6.2 Percents, Decimals, and Fractions6.3 Solving Percent Problems with Equations6.4 Solving Percent Problems with Proportions Integrated Review–Ratio, Proportion, and Percent6.5 Applications of Percent6.6 Percent and Problem Solving: Sales Tax, Commission, and Discount6.7 Percent and Problem Solving: InterestGraphs, Triangle Applications, and Introduction to Statistics and Probability 7.1 Pictographs, Bar Graphs, Histograms, Line Graphs, and Introduction to Statistics7.2 Circle Graphs Integrated Review–Reading Graphs7.3 Square Roots and the Pythagorean Theorem7.4 Congruent and Similar Triangles7.5 Counting and Introduction to ProbabilityGeometry and Measurement 8.1 Lines and Angles8.2 Perimeter8.3 Area, Volume, and Surface Area Integrated Review–Geometry Concepts8.4 Linear Measurement8.5 Weight and Mass8.6 Capacity8.7 Temperature and Conversions Between the U.S. and Metric SystemsEquations, Inequalities, and Problem Solving 9.1 Symbols and Sets of Numbers9.2 Properties of Real Numbers9.3 Further Solving Linear Equations Integrated Review–Real Numbers and Solving Linear Equations9.4 Further Problem Solving9.5 Formulas and Problem Solving9.6 Linear Inequalities and Problem SolvingExponents and Polynomials 10.1 Exponents10.2 Negative Exponents and Scientific Notation10.3 Introduction to Polynomials10.4 Adding and Subtracting Polynomials10.5 Multiplying Polynomials10.6 Special Products Integrated Review–Exponents and Operations on Polynomials10.7 Dividing PolynomialsFactoring Polynomials 11.1 The Greatest Common Factor and Factoring by Grouping11.2 Factoring Trinomials of the Form x2+ bx + c11.3 Factoring Trinomials of the Form ax2+ bx + c11.4 Factoring Trinomials of the Form ax2+ bx + c by Grouping11.5 Factoring Perfect Square Trinomials and the Difference of Two Squares Integrated Review–Choosing a Factoring Strategy11.6 Solving Quadratic Equations by Factoring11.7 Quadratic Equations and Problem SolvingRational Expressions 12.1 Simplifying Rational Expressions12.2 Multiplying and Dividing Rational Expressions12.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator12.4 Adding and Subtracting Rational Expressions with Different Denominators12.5 Solving Equations Containing Rational Expressions Integrated Review–Summary on Rational Expressions12.6 Rational Equations and Problem Solving12.7 Simplifying Complex FractionsGraphing Equations and Inequalities 13.1 The Rectangular Coordinate System13.2 Graphing Linear Equations13.3 Intercepts13.4 Slope and Rate of Change13.5 Equations of Lines Integrated Review–Summary on Linear Equations13.6 Introduction to Functions13.7 Graphing Linear Inequalities in Two Variables13.8 Direct and Inverse VariationSystems of Equations 14.1 Solving Systems of Linear Equations by Graphing14.2 Solving Systems of Linear Equations by Substitution14.3 Solving Systems of Linear Equations by Addition Integrated Review–Summary on Solving Systems of Equations14.4 Systems of Linear Equations and Problem SolvingRoots and Radicals 15.1 Introduction to Radicals15.2 Simplifying Radicals15.3 Adding and Subtracting Radicals15.4 Multiplying and Dividing Radicals Integrated Review–Simplifying Radicals15.5 Solving Equations Containing Radicals15.6 Radical Equations and Problem SolvingQuadratic Equations 16.1 Solving Quadratic Equations by the Square Root Property16.2 Solving Quadratic Equations by Completing the Square16.3 Solving Quadratic Equations by the Quadratic Formula Integrated Review–Summary on Solving Quadratic Equations16.4 Graphing Quadratic Equations in Two VariablesAPPENDICES A. Tables A.1 Table of Geometric FiguresA.2 Table of Percents, Decimals, and Fraction EquivalentsA.3 Table on Finding Common Percents of a NumberA.4 Table of Squares and Square RootsB. Factoring Sums and Differences of CubesC. Mixture and Uniform Motion Problem SolvingD. Systems of Linear InequalitiesE. Geometric Formulas Student Resources Study Skills BuildersBigger Picture–Study Guide OutlinePractice Final Exam