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Developmental Mathematics


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Table of Contents

Chapter 1: The Whole Numbers1.1 Tips for Success in Mathematics1.2 Place Value, Names for Numbers, and Reading Tables1.3 Adding Whole Numbers and Perimeter1.4 Subtracting Whole Numbers1.5 Rounding and Estimating1.6 Multiplying Whole Numbers and Area1.7 Dividing Whole NumbersIntegrated Review-Operations on Whole Numbers1.8 An Introduction to Problem Solving1.9 Exponents, Square Roots, and Order of operations Chapter 2: Multiplying and Dividing Fractions2.1 Introduction to Fractions and Mixed Numbers2.2 Factors and Prime Factorization2.3 Simplest Form of a FractionIntegrated Review-Summary on Fractions, Mixed Numbers, and Factors2.4 Multiplying Fractions and Mixed Numbers2.5 Dividing Fractions and Mixed Numbers Chapter 3: Adding and Subtracting Fractions3.1 Adding and Subtracting Like Fractions3.2 Least Common Multiple3.3 Adding and Subtracting Unlike FractionsIntegrated Review-Operations on Fractions and Mixed Numbers3.4 Adding and Subtracting Mixed Numbers3.5 Order, Exponents, and the Order of Operations3.6 Fractions and Problem Solving Chapter 4: Decimals4.1 Introduction to Decimals4.2 Order and Rounding4.3 Adding and Subtracting Decimals4.4 Multiplying Decimals and Circumference of a CircleIntegrated Review-Operations on Decimals4.5 Dividing Decimals and Order of Operations4.6 Fractions and Decimals Chapter 5 Percent5.1 Ratio and Proportion5.2 Introduction to Percent5.3 Percents and Fractions5.4 Solving Percent Problems Using Equations5.5 Solving Percent Problems Using ProportionsIntegrated Review-Ratio, Proportion, and Percent5.6 Applications of Percent5.7 Percent and Problem Solving: Sales Tax, Commission, and Discount5.8 Percent and Problem Solving: Interest Chapter 6 Geometry6.1 Lines and Angles6.2 Plane Figures and Solids6.3 Perimeter6.4 Area6.5 VolumeIntegrated Review-Geometry Concepts6.6 Square Roots and the Pythagorean Theorem6.7 Congruent and Similar Triangles Chapter 7 Statistics and Probability7.1 Reading Pictographs, Bar Graphs, Histograms, and Line Graphs7.2 Reading Circle GraphsIntegrated Review-Reading Graphs7.3 Mean, Median, and Mode7.4 Counting and Introduction to Probability Chapter 8 Real Numbers and Introduction to Algebra8.1 Symbols and Sets of Numbers8.2 Exponents, Order of Operations, and Variable Expressions8.3 Adding Real Numbers8.4 Subtracting Real NumbersIntegrated Review-Operations on Real Numbers8.5 Multiplying and Dividing Real Numbers8.6 Properties of Real Numbers8.7 Simplifying Expressions Chapter 9 Equations, Inequalities, and Problem Solving9.1 The Addition Property of Equality9.2 The Multiplication Property of Equality9.3 Further Solving Linear EquationsIntegrated Review-Solving Linear Equations9.4 An Introduction to Problem Solving9.5 Formulas and Problem Solving9.6 Percent and Mixture Problem Solving9.7 Linear Inequalities and Problem Solving Chapter 10 Graphing Equations and Inequalities10.1 The Rectangular Coordinate System10.2 Graphing Linear Equations10.3 Intercepts10.4 Slope and Rate of Change10.5 Equations of LinesIntegrated Review-Summary on Linear Equations10.6 Introduction to Functions10.76 Graphing Linear Inequalities in Two Variables10.8 Direct and Inverse Variation Chapter 11 Systems of Equations11.1 Solving Systems of Linear Equations by Graphing11.2 solving Systems of Linear Equations by Substitution11.3 Solving Systems of Linear Equations by AdditionIntegrated Review-Summary on Solving Systems of Equations11.4 Systems of Linear Equations and Problem SolvingChapter 12 Exponents and Polynomials12.1 Exponents12.2 Negative Exponents and Scientific Notation12.3 Introduction to Polynomials12.4 Adding and Subtracting Polynomials12.5 Multiplying Polynomials12.6 Special ProductsIntegrated Review- Exponents and Operations on Polynomials12.7 Dividing Polynomials Chapter 13 Factoring Polynomials13.1 The Greatest Common Factor 13.2 Factoring Trinomials of the Form x(2) + bx + c13.3 Factoring Trinomials of the Form ax(2) + bx + c 13.4 Factoring Trinomials of the Form ax(2) + bx + c by Grouping13.5 Factoring Perfect Square Trinomials and the Difference of Two SquaresIntegrated Review-Choosing a Factoring Strategy13.6 Solving Quadratic Equations by Factoring13.7 Quadratic Equations and Problem Solving Chapter 14 Rational Expressions14.1 Simplifying Rational Expressions14.2 Multiplying and Dividing Rational Expressions14.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator 14.4 Adding and Subtracting Rational Expressions with Different Denominators14.5 Solving Equations Containing Rational ExpressionsIntegrated Review-Summary on Rational Expression14.6 Rational Equations and Problem Solving14.7 Simplifying Complex Fractions Chapter 15 Roots and Radicals15.1 Introduction to Radicals15.2 Simplifying Radicals15.3 Adding and Subtracting Radicals15.4 Multiplying and Dividing RadicalsIntegrated Review-Simplifying Radicals15.5 Solving Equations Containing Radicals15.6 Radical Equation and Problem Solving Chapter 16 Quadratic Equations16.1 Solving Quadratic Equations by the Square Root Property16.2 Solving Quadratic Equations by Completing the Square16.3 Solving Quadratic Equations by the Quadratic FormulaIntegrated Review-Summary Solving Quadratic Equations16.4 Graphing Quadratic Equations in Two Variables16.5 Interval Notation, Finding Domains and Ranges from Graphs, and Graphing Piecewise -Defined Functions. AppendicesAppendix A Further Algebraic TopicsA.1 Factoring Sums and Differences of CubesA.2 Sets and Compound InequalitiesA.3 Absolute Value Equations and InequalitiesA.4 The Distance and Midpoint FormulasA.5 Writing Equations of Parallel and Perpendicular LinesA.6 Nonlinear Inequalities in One VariableA.7 Rational Exponents A.8 Systems of Linear Inequalities Appendix B TablesB.1 Percent, Decimal, and Fraction EquivalentsB.2 Table of Squares and Square RootsB.3 Compound Interest Student ResourcesStudy Skills BuildersBigger Picture-Study Guide OutlinePractice Final ExamAnswers to Selected Exercises

About the 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 12 published textbooks and numerous multimedia interactive products, all specializing in developmental mathematics courses. 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.

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