Student Solutions Manual for 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.

• Table of Contents Real Numbers and Algebraic Expressions 1.1 Study Skill Tips for Success in Mathematics1.2 Algebraic Expressions and Sets of Numbers1.3 Operations on Real Numbers and Order of Operations Integrated Review—Algebraic Expressions and Operations on Whole Numbers1.4 Properties of Real Numbers and Algebraic ExpressionsEquations, 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 Solving Integrated Review—Linear Equations and Inequalities2.5 Compound Inequalities2.6 Absolute Value Equations2.7 Absolute Value InequalitiesGraphs and Functions 3.1 Graphing Equations3.2 Introduction to Functions3.3 Graphing Linear Functions3.4 The Slope of a Line3.5 Equations of Lines Integrated Review—Linear Equations in Two Variables3.6 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions3.7 Graphing Linear InequalitiesSystems of Equations 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 Solving Integrated Review—Systems of Linear Equations4.4 Solving Systems of Equations by Matrices4.5 Systems of Linear InequalitiesExponents, Polynomials, and Polynomial Functions 5.1 Exponents and Scientific Notation5.2 More Work with Exponents and Scientific Notation5.3 Polynomials and Polynomial Functions5.4 Multiplying Polynomials5.5 The Greatest Common Factor and Factoring by Grouping5.6 Factoring Trinomials5.7 Factoring by Special Products Integrated Review—Operations on Polynomials and Factoring Strategies5.8 Solving Equations by Factoring and Problem SolvingRational Expressions 6.1 Rational Functions and Multiplying and Dividing Rational Expressions6.2 Adding and Subtracting Rational Expressions6.3 Simplifying Complex Fractions6.4 Dividing Polynomials: Long Division and Synthetic Division6.5 Solving Equations Containing Rational Expressions Integrated Review—Expressions and Equations Containing Rational Expressions6.6 Rational Equations and Problem Solving6.7 Variation and Problem SolvingRational Exponents, Radicals, and Complex Numbers 7.1 Radicals and Radical Functions7.2 Rational Exponents7.3 Simplifying Radical Expressions7.4 Adding, Subtracting, and Multiplying Radical Expressions7.5 Rationalizing Denominators and Numerators of Radical Expressions Integrated Review—Radicals and Rational Exponents7.6 Radical Equations and Problem Solving7.7 Complex NumbersQuadratic Equations and Functions 8.1 Solving Quadratic Equations by Completing the Square8.2 Solving Quadratic Equations by the Quadratic Formula8.3 Solving Equations by Using Quadratic Methods Integrated Review—Summary on Solving Quadratic Equations8.4 Nonlinear Inequalities in One Variable8.5 Quadratic Functions and Their Graphs8.6 Further Graphing of Quadratic FunctionsExponential and Logarithmic Functions 9.1 The Algebra of Functions; Composite Functions9.2 Inverse Functions9.3 Exponential Functions9.4 Exponential Growth and Decay Functions9.5 Logarithmic Functions9.6 Properties of Logarithms Integrated Review—Functions and Properties of Logarithms9.7 Common Logarithms, Natural Logarithms, and Change of Base9.8 Exponential and Logarithmic Equations and Problem SolvingConic Sections 10.1 The Parabola and the Circle10.2 The Ellipse and the Hyperbola Integrated Review—Graphing Conic Sections10.3 Solving Nonlinear Systems of Equations10.4 Nonlinear Inequalities and Systems of InequalitiesSequences, Series, and the Binomial Theorem 11.1 Sequences11.2 Arithmetic and Geometric Sequences11.3 Series Integrated Review—Sequences and Series11.4 Partial Sums of Arithmetic and Geometric Sequences11.5 The Binomial TheoremAppendices GeometryStretching and Compressing Graphs of Absolute Value FunctionsSolving Systems of Equations Using DeterminantsAn Introduction to Using a Graphing UtilityStudent Resources Study Skills Builders Bigger Picture—Study Guide Outline Practice Final Exam