Beginning & Intermediate Algebra

About our authors John Tobey received his BA in mathematics from Wheaton College in Wheaton, Illinois in 1965, his MA in mathematics education from Harvard University in 1966, and his PhD in mathematics education from Boston University in 1980. He has taught in the mathematics department at the United States Military Academy at West Point and served as the Mathematics Department Chairman at North Shore Community College in Danvers, Massachusetts for 5 years. John has served as the president of the New England Mathematics Association of Two-Year Colleges. He has received the NISOD award for outstanding teaching from the University of Texas at Austin. John is the author of 7 mathematics books published by Pearson Education. John has spoken to many mathematics departments and at many professional meetings throughout the country on the topic of developmental mathematics education and distance learning in mathematics. He lives in Massachusetts. Jeffrey Slater has been a professor at North Shore Community College for 38 years and received the Teacher of the Year award in 2002. Jeff travels around the country speaking on student retention and is also a consultant to the Federal Government. He lives in Lexington, Massachusetts with his wife Shelley and his yellow lab Gracie. Jamie Blair has directed the Mathematics Learning Center at Orange Coast College for the past 17 years. She designed, developed and implemented the center, and as a result of this effort has provided technical expertise related to the particulars of the Math Center to numerous other 2-year colleges and at many conferences. In 2007, Jamie was appointed to the Team of Basic Skills Specialists by the California State Academic Senate. She is also currently participating on Title 3 committees on her campus. She specializes in teaching students who have never been successful in mathematics. She is an expert in the area of basic skills in relation to the learning needs of students. She lives in California. Jennifer Crawford received her BS in mathematics from the University of Minnesota - Duluth in 1995 and her MS in mathematics from the University of Minnesota - Twin Cities in 1998. She taught a wide range of courses at North Shore Community College in Danvers, Massachusetts for 5 years. She currently teaches at Normandale Community College in Bloomington, Minnesota, where her focus is working with developmental math students. She lives in Minneapolis, Minnesota with her husband, 2 young children, and black lab.

• Preface Diagnostic Pretest 0. Prealgebra Review Career Opportunities0.1 Simplifying Fractions0.2 Adding and Subtracting Fractions0.3 Multiplying and Dividing Fractions0.4 Using Decimals Use Math to Save Money0.5 Percents, Rounding, and Estimating0.6 Using the Mathematics Blueprint for Problem Solving Career Exploration ProblemsChapter 0 OrganizerChapter 0 Review ProblemsHow Am I Doing? Chapter 0 TestMath Coach1. Real Numbers and Variables Career Opportunities1.1 Adding Real Numbers1.2 Subtracting Real Numbers1.3 Multiplying and Dividing Real Numbers1.4 Exponents1.5 The Order of Operations Use Math to Save Money1.6 Using the Distributive Property to Simplify Algebraic Expressions1.7 Combining Like Terms1.8 Using Substitution to Evaluate Algebraic Expressions and Formulas1.9 Grouping Symbols Career Exploration ProblemsChapter 1 OrganizerChapter 1 Review ProblemsHow Am I Doing? Chapter 1 TestMath Coach2. Equations, Inequalities, and Applications Career Opportunities2.1 The Addition Principle of Equality2.2 The Multiplication Principle of Equality2.3 Using the Addition and Multiplication Principles Together2.4 Solving Equations with Fractions Use Math to Save Money2.5 Translating English Phrases into Algebraic Expressions2.6 Using Equations to Solve Word Problems2.7 Solving Word Problems: The Value of Money and Percents2.8 Solving Inequalities in One Variable Career Exploration ProblemsChapter 2 OrganizerChapter 2 Review ProblemsHow Am I Doing? Chapter 2 TestMath Coach3. Graphing and Functions Career Opportunities3.1 The Rectangular Coordinate System3.2 Graphing Linear Equations3.3 The Slope of a Line Use Math to Save Money3.4 Writing the Equation of a Line3.5 Graphing Linear Inequalities3.6 Functions Career Exploration ProblemsChapter 3 OrganizerChapter 3 Review ProblemsHow Am I Doing? Chapter 3 TestMath CoachCumulative Test for Chapters 0-34. Systems of Linear Equations and Inequalities Career Opportunities4.1 Systems of Linear Equations in Two Variables4.2 Systems of Linear Equations in Three Variables Use Math to Save Money4.3 Applications of Systems of Linear Equations4.4 Systems of Linear Inequalities Career Exploration ProblemsChapter 4 OrganizerChapter 4 Review ProblemsHow Am I Doing? Chapter 4 TestMath Coach5. Exponents and Polynomials Career Opportunities5.1 The Rules of Exponents5.2 Negative Exponents and Scientific Notation5.3 Fundamental Polynomial Operations Use Math to Save Money5.4 Multiplying Polynomials5.5 Multiplication: Special Cases5.6 Dividing Polynomials Career Exploration ProblemsChapter 5 OrganizerChapter 5 Review ProblemsHow Am I Doing? Chapter 5 TestMath Coach6. Factoring Career Opportunities6.1 Removing a Common Factor6.2 Factoring by Grouping6.3 Factoring Trinomials of the Form x2 + bx + c6.4 Factoring Trinomials of the Form ax2 + bx + c Use Math to Save Money6.5 Special Cases of Factoring6.6 A Brief Review of Factoring6.7 Solving Quadratic Equations by Factoring Career Exploration ProblemsChapter 6 OrganizerChapter 6 Review ProblemsHow Am I Doing? Chapter 6 TestMath CoachCumulative Test for Chapters 0-67. Rational Expressions and Equations Career Opportunities7.1 Simplifying Rational Expressions7.2 Multiplying and Dividing Rational Expressions7.3 Adding and Subtracting Rational Expressions Use Math to Save Money7.4 Simplifying Complex Rational Expressions7.5 Solving Equations Involving Rational Expressions7.6 Ratio, Proportion, and Other Applied Problems Career Exploration ProblemsChapter 7 OrganizerChapter 7 Review ProblemsHow Am I Doing? Chapter 7 TestMath CoachT. A Transition from Beginning to Intermediate Algebra T.1 Integer Exponents, Square Roots, Order of Operations, and Scientific NotationT.2 Polynomial OperationsT.3 Factoring PolynomialsT.4 Special Cases of FactoringT.5 The Point-Slope Form of a Line8. Rational Exponents and Radicals Career Opportunities8.1 Rational Exponents8.2 Radical Expressions and Functions8.3 Simplifying, Adding, and Subtracting Radicals8.4 Multiplying and Dividing Radicals Use Math to Save Money8.5 Radical Equations8.6 Complex Numbers8.7 Variation Career Exploration ProblemsChapter 8 OrganizerChapter 8 Review ProblemsHow Am I Doing? Chapter 8 TestMath Coach9. Quadratic Equations and Inequalities Career Opportunities9.1 Quadratic Equations9.2 The Quadratic Formula and Solutions to Quadratic Equations9.3 Equations That Can Be Transformed into Quadratic Form Use Math to Save Money9.4 Formulas and Applications9.5 Quadratic Functions9.6 Compound and Quadratic Inequalities9.7 Absolute Value Equations and Inequalities Career Exploration ProblemsChapter 9 OrganizerChapter 9 Review ProblemsHow Am I Doing? Chapter 9 TestMath CoachCumulative Test for Chapters 0-910. The Conic Sections Career Opportunities10.1 The Distance Formula and the Circle10.2 The Parabola10.3 The Ellipse Use Math to Save Money10.4 The Hyperbola10.5 Nonlinear Systems of Equations Career Exploration ProblemsChapter 10 OrganizerChapter 10 Review ProblemsHow Am I Doing? Chapter 10 TestMath Coach11. Additional Properties of Functions Career Opportunities11.1 Function Notation11.2 General Graphing Procedures for Functions Use Math to Save Money11.3 Algebraic Operations on Functions11.4 Inverse of a Function Career Exploration ProblemsChapter 11 OrganizerChapter 11 Review ProblemsHow Am I Doing? Chapter 11 TestMath Coach12. Logarithmic and Exponential Functions Career Opportunities12.1 The Exponential Function12.2 The Logarithmic Function12.3 Properties of Logarithms Use Math to Save Money12.4 Common Logarithms, Natural Logarithms, and Change of Base of Logarithms12.5 Exponential and Logarithmic Equations Career Exploration ProblemsChapter 12 OrganizerChapter 12 Review ProblemsHow Am I Doing? Chapter 12 TestMath CoachPractice Final ExaminationAppendices A: Practice with Operations of Whole NumbersB: Determinants and Cramer's RuleC: Solving Systems of Linear Equations Using MatricesD: SetsSolutions to Student Practice Problems Answers to Selected Exercises Beginning and Intermediate Algebra Glossary Photo Credits Subject Index Index of Applications