Student Solutions Manual for Beginning Algebra

Marge Lial (late) was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, was affiliated with American River College. An avid reader and traveler, her travel experiences often found their way into her books as applications, exercise sets, and feature sets. Her interest in archeology led to trips to various digs and ruin sites, producing some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.When John Hornsby enrolled as an undergraduate at Louisiana State University, he was uncertain whether he wanted to study mathematics education or journalism. His ultimate decision was to become a teacher, but after twenty-five years of teaching at the high school and university levels and fifteen years of writing mathematics textbooks, both of his goals have been realized. His love for both teaching and for mathematics is evident in his passion for working with students and fellow teachers as well. His specific professional interests are recreational mathematics, mathematics history, and incorporating graphing calculators into the curriculum. John's personal life is busy as he devotes time to his family (wife Gwen, and sons Chris, Jack, and Josh), and has been an avid baseball fan all of his life. John's other hobbies include numismatics (the study of coins) and record collecting. He loves the music of the 1960s and has an extensive collection of the recorded works of Frankie Valli and the Four Seasons.A native Midwesterner, Terry McGinnis received her Bachelor’s of Science in Elementary Education with a concentration in Mathematics from Iowa State University. She has taught elementary and middle school mathematics, and developed and implemented the curriculum used with her students. Terry has been involved in college mathematics publishing for over 20 years, working with a variety of authors on textbooks in both developmental mathematics and precalculus. After working behind the scenes on many of the Lial/Hornsby textbooks and supplements for over 10 years, Terry joined Margaret Lial and John Hornsby in 2002 as coauthor of their developmental mathematics series. When not working, Terry enjoys spinning at a local health club, walking, and reading fiction. She is the devoted mother of two sons, Andrew and Tyler.Callie Daniels has always had a passion for learning mathematics and brings that passion into the classroom with her students. She attended the University of the Ozarks where she earned a bachelor’s degree in Secondary Mathematics Education. She has two master’s degrees: one in Applied Mathematics and Statistics from the University of Missouri—Rolla, the second in Adult Education from the University of Missouri—St. Louis. Her professional interests include improving success in the community college mathematics sequence, using technology to enhance students’ understanding of mathematics, and creating materials that support classroom teaching and student understanding. She is able to pursue these interests as a contributor on the Lial Developmental Math series, and a co-author on the Precalculus series.

• Study Skill 1: Using Your Math TextStudy Skill 2: Reading Your Math TextStudy Skill 3: Taking Lecture NotesStudy Skill 4: Completing Your HomeworkStudy Skill 5: Using Study CardsStudy Skill 6: Managing Your TimeStudy Skill 7: Reviewing a ChapterStudy Skill 8: Taking Math TestsStudy Skill 9: Analyzing Your Test ResultsStudy Skill 10: Preparing for Your Math Final Prealgebra Review R.1 FractionsR.2 Decimals and PercentsThe Real Number System 1.1 Exponents, Order of Operations, and Inequality1.2 Variables, Expressions, and Equations1.3 Real Numbers and the Number Line1.4 Adding and Subtracting Real Numbers1.5 Multiplying and Dividing Real Numbers Summary Exercises: Performing Operations with Real Numbers1.6 Properties of Real Numbers1.7 Simplifying ExpressionsChapter 1 SummaryChapter 1 Review ExercisesChapter 1 Mixed Review ExercisesChapter 1 TestChapters R and 1 Cumulative Review ExercisesLinear Equations and Inequalities in One Variable 2.1 The Addition Property of Equality2.2 The Multiplication Property of Equality2.3 Solving Linear Equations Using Both Properties of Equality2.4 Clearing Fractions and Decimals When Solving Linear Equations Summary Exercises: Applying Methods for Solving Linear Equations2.5 Applications of Linear Equations2.6 Formulas and Additional Applications from Geometry2.7 Ratio, Proportion, and Percent2.8 Further Applications of Linear Equations2.9 Solving Linear InequalitiesChapter 2 SummaryChapter 2 Review ExercisesChapter 2 Mixed Review ExercisesChapter 2 TestChapters R—2 Cumulative Review ExercisesLinear Equations and Inequalities in Two Variables; Functions 3.1 Linear Equations and Rectangular Coordinates3.2 Graphing Linear Equations in Two Variables3.3 The Slope of a Line3.4 Slope-Intercept Form of a Linear Equation3.5 Point-Slope Form of a Linear Equation and Modeling Summary Exercises: Applying Graphing and Equation-Writing Techniques for Lines3.6 Graphing Linear Inequalities in Two Variables3.7 Introduction to FunctionsChapter 3 SummaryChapter 3 Review ExercisesChapter 3 Mixed Review ExercisesChapter 3 TestChapters R—3 Cumulative Review ExercisesSystems of Linear Equations and Inequalities 4.1 Solving Systems of Linear Equations by Graphing4.2 Solving Systems of Linear Equations by Substitution4.3 Solving Systems of Linear Equations by Elimination Summary Exercises: Applying Techniques for Solving Systems of Linear Equations4.4 Applications of Linear Systems4.5 Solving Systems of Linear InequalitiesChapter 4 SummaryChapter 4 Review ExercisesChapter 4 Mixed Review ExercisesChapter 4 TestChapters R—4 Cumulative Review ExercisesExponents and Polynomials 5.1 The Product Rule and Power Rules for Exponents5.2 Integer Exponents and the Quotient Rule5.3 Scientific Notation5.4 Adding, Subtracting, and Graphing Polynomials5.5 Multiplying Polynomials5.6 Special Products5.7 Dividing PolynomialsChapter 5 SummaryChapter 5 Review ExercisesChapter 5 Mixed Review ExercisesChapter 5 TestChapters R—5 Cumulative Review ExercisesFactoring and Applications 6.1 The Greatest Common Factors; Factoring by Grouping6.2 Factoring Trinomials6.3 More on Factoring Trinomials6.4 Special Factoring Techniques Summary Exercises: Recognizing and Applying Factoring Strategies6.5 Solving Quadratic Equations Using the Zero-Factor Property6.6 Applications of Quadratic EquationsChapter 6 SummaryChapter 6 Review ExercisesChapter 6 Mixed Review ExercisesChapter 6 TestChapters R—6 Cumulative Review ExercisesRational Expressions and Applications 7.1 The Fundamental Property of Rational Expressions7.2 Multiplying and Dividing Rational Expressions7.3 Least Common Denominators7.4 Adding and Subtracting Rational Expressions7.5 Complex Fractions7.6 Solving Equations with Rational Expressions Summary Exercises: Simplifying Rational Expressions vs. Solving Rational Equations7.7 Applications of Rational Expressions7.8 VariationChapter 7 SummaryChapter 7 Review ExercisesChapter 7 Mixed Review ExercisesChapter 7 TestChapters R—7 Cumulative Review ExercisesRoots and Radicals 8.1 Evaluating Roots8.2 Multiplying, Dividing, and Simplifying Radicals8.3 Adding and Subtracting Radicals8.4 Rationalizing the Denominator8.5 More Simplifying and Operations with Radicals Summary Exercises: Applying Operations with Radicals8.6 Solving Equations with RadicalsChapter 8 SummaryChapter 8 Review ExercisesChapter 8 Mixed Review ExercisesChapter 8 TestChapters R—8 Cumulative Review ExercisesQuadratic 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 Formula Summary Exercises: Applying Methods for Solving Quadratic Equations9.4 Graphing Quadratic EquationsChapter 9 SummaryChapter 9 Review ExercisesChapter 9 Mixed Review ExercisesChapter 9 TestChapters R—9 Cumulative Review ExercisesAnswers to Selected ExercisesIndex Additional topics available in MyLabTM Math: Using Rational Numbers as Exponents; Complex Numbers; Sets; Introduction to Calculators