Student Solutions Manual for Beginning 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. Review of Real Numbers1.1 Study Skill Tips for Success in Mathematics1.2 Symbols and Sets of Numbers1.3 Fractions and Mixed Numbers1.4 Exponents, Order of Operations, Variable Expressions, and Equations1.5 Adding Real Numbers1.6 Subtracting Real NumbersIntegrated Review–Operations on Real Numbers1.7 Multiplying and Dividing Real Numbers1.8 Properties of Real Numbers2. Equations, Inequalities, and Problem Solving2.1 Simplifying Algebraic Expressions2.2 The Addition Property of Equality2.3 The Multiplication Property of Equality2.4 Solving Linear EquationsIntegrated Review–Solving Linear Equations2.5 An Introduction to Problem Solving2.6 Formulas and Problem Solving2.7 Percent and Mixture Problem Solving2.8 Further Problem Solving2.9 Solving Linear Inequalities3. Graphing3.1 Reading Graphs and the Rectangular Coordinate System3.2 Graphing Linear Equations3.3 Intercepts3.4 Slope and Rate of ChangeIntegrated Review–Summary on Slope and Graphing Linear Equations3.5 Equations of Lines3.6 Functions4. Solving Systems of Linear Equations and Inequalities4.1 Solving Systems of Linear Equations by Graphing4.2 Solving Systems of Linear Equations by Substitution4.3 Solving Systems of Linear Equations by AdditionIntegrated Review–Solving Systems of Equations4.4 Systems of Linear Equations and Problem Solving4.5 Graphing Linear Inequalities4.6 Systems of Linear Inequalities5. Exponents and Polynomials 5.1 Exponents5.2 Adding and Subtracting Polynomials5.3 Multiplying Polynomials5.4 Special ProductsIntegrated Review–Exponents and Operations on Polynomials5.5 Negative Exponents and Scientific Notation5.6 Dividing Polynomials6. Factoring Polynomials 6.1 The Greatest Common Factor and Factoring by Grouping6.2 Factoring Trinomials of the Form x 2 + bx + c6.3 Factoring Trinomials of the Form ax2 + bx + c and Perfect Square Trinomials6.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping6.5 Factoring BinomialsIntegrated Review–Choosing a Factoring Strategy6.6 Solving Quadratic Equations by Factoring6.7 Quadratic Equations and Problem Solving7. Rational Expressions 7.1 Simplifying Rational Expressions7.2 Multiplying and Dividing Rational Expressions7.3 Adding and Subtracting Rational Expressions with Common Denominators and LeastCommon Denominator7.4 Adding and Subtracting Rational Expressions with Unlike Denominators7.5 Solving Equations Containing Rational ExpressionsIntegrated Review–Summary on Rational Expressions7.6 Proportion and Problem Solving with Rational Equations7.7 Variation and Problem Solving7.8 Simplifying Complex Fractions8. Roots and Radicals 8.1 Introduction to Radicals8.2 Simplifying Radicals8.3 Adding and Subtracting Radicals8.4 Multiplying and Dividing RadicalsIntegrated Review–Simplifying Radicals8.5 Solving Equations Containing Radicals8.6 Radical Equations and Problem Solving8.7 Rational Exponents9. Quadratic Equations 9.1 Solving Quadratic Equations by the Square Root Property9.2 Solving Quadratic Equations by Completing the Square9.3 Solving Quadratic Equations by the Quadratic FormulaIntegrated Review–Summary on Solving Quadratic Equations9.4 Complex Solutions of Quadratic Equations9.5 Graphing Quadratic EquationsAppendicesA GeometryB Additional Exercises on Proportion and Proportion ApplicationsC Operations on DecimalsD Mean, Median, and ModeE TablesContents of Student ResourcesStudent ResourcesStudy Skills BuildersBigger Picture–Study Guide OutlinePractice Final Exam