Elementary and Intermediate Algebra

Stefan began teaching math and science in New York City middle schools. He also taught math at the University of Oregon, Southeast Missouri State University, and York County Technical College. Currently, Stefan is a member of the mathematics faculty at Clackamas Community College where he has found a niche, delighting in the CCC faculty, staff, and students. Stefan’s own education includes the University of Michigan (BGS, 1988), Brooklyn College (CUNY), and the University of Oregon (MS, 1996). Stefan is currently serving on the AMATYC Executive Board as the organization’s Northwest Vice President. He has also been involved with ORMATYC, NEMATYC, NCTM, and the State of Oregon Math Chairs group, as well as other local organizations. He has applied his knowledge of math to various fi elds, using statistics, technology, and web design. More personally, Stefan and his wife, Peggy, try to spend time enjoying the wonders of Oregon and the Pacifi c Northwest. Their activities include scuba diving, self-defense training, and hiking. Barry has enjoyed teaching mathematics to a wide variety of students over the years. He began in the fi eld of adult basic education and moved into the teaching of high school mathematics in 1977. He taught high school math for 11 years, at which point he served as a K-12 mathematics specialist for his county. This work allowed him the opportunity to help promote the emerging NCTM standards in his region. In 1990, Barry began the next portion of his career, having been hired to teach at Clackamas Community College. He maintains a strong interest in the appropriate use of technology and visual models in the learning of mathematics. Throughout the past 32 years, Barry has played an active role in professional organizations. As a member of OCTM, he contributed several articles and activities to the group’s journal. He has presented at AMATYC, OCTM, NCTM, ORMATYC, and ICTCM conferences. Barry also served 4 years as an offi cer of ORMATYC and participated on an AMATYC committee to provide feedback to revisions of NCTM’s standards. Don began teaching in a preschool while he was an undergraduate. He subsequently taught children with disabilities, adults with disabilities, high school mathematics, and college mathematics. Although each position offered different challenges, it was always breaking a challenging lesson into teachable components that he most enjoyed.It was at Clackamas Community College that he found his professional niche. The community college allowed him to focus on teaching within a department that constantly challenged faculty and students to expect more. Under the guidance of Jim Streeter, Don learned to present his approach to teaching in the form of a textbook. Don has also been an active member of many professional organizations. He has been president of ORMATYC, AMATYC committee chair, and ACM curriculum committee member. He has presented at AMATYC, ORMATYC, AACC, MAA, ICTCM, and a variety of other conferences.Above all, he encourages you to be involved, whether as a teacher or as a learner. Whether discussing curricula at a professional meeting or homework in a cafeteria, it is the process of communicating an idea that helps one to clarify it.

• PrefaceApplications IndexChapter 0. Prealgebra Review0.1 A Review of Fractions0.2 Real Numbers0.3 Adding and Subtracting0.4 Multiplying and Dividing0.5 Exponents and Order of OperationsChapter 0: SummaryChapter 0: Summary ExercisesChapter 0: Chapter TestChapter 1. From Arithmetic to Algebra1.1 Transition to AlgebraActivity 1: Exchanging Money1.2 Evaluating Algebraic Expressions1.3 Simplifying Algebraic Expressions1.4 Solving Equations with the Addition Property1.5 Solving Equations with the Multiplication Property1.6 Combining the Rules to Solve Equations1.7 Linear InequalitiesChapter 1: SummaryChapter 1: Summary ExercisesChapter 1: Chapter TestChapter 2. Functions and Graphs2.1 Formulas and Problem SolvingActivity 2: Graphing with a Calculator2.2 Sets and Set Notation2.3 Two Variable Equations2.4 The Cartesian Coordinate System2.5 Relations and Functions2.6 Tables and GraphsChapter 2: SummaryChapter 2: Summary ExercisesChapter 2: Chapter TestChapters 0-2: Cumulative ReviewChapter 3. Graphing Linear Functions3.1 Graphing Linear FunctionsActivity 3: Linear Regression: A Graphing Calculator Activity3.2 The Slope of a Line3.3 Linear Equations3.4 Rate of Change and Linear Regression3.5 Linear Inequalities in Two VariablesChapter 3: SummaryChapter 3: Summary ExercisesChapter 3: Chapter TestChapters 0-3: Cumulative Review 4. Systems of Linear Equations4.1 Graphing Systems of Linear EquationsActivity 4: Agricultural Technology4.2 Solving Equations in One Variable Graphically4.3 Systems of Equations in Two Variables4.4 Systems of Equations in Three Variables4.5 Systems of Linear InequalitiesChapter 4: SummaryChapter 4: Summary ExercisesChapter 4: Chapter TestChapters 0-4: Cumulative ReviewChapter 5. Exponents and Polynomials5.1 Positive Integer ExponentsActivity 5: Wealth and Compound Interest5.2 Integer Exponents and Scientific Notation5.3 Introduction to Polynomials5.4 Adding and Subtracting Polynomials5.5 Multiplying Polynomials and Special Products5.6 Dividing PolynomialsChapter 5: SummaryChapter 5: Summary ExercisesChapter 5: Chapter TestChapters 0-5: Cumulative ReviewChapter 6. Factoring Polynomials6.1 An Introduction to FactoringActivity 6: ISBN’s and the Check Digit6.2 Factoring Special Polynomials6.3 Factoring: Trial and Error6.4 Factoring: The ac Method6.5 Factoring Strategies6.6 Factoring and Problem SolvingChapter 6: SummaryChapter 6: Summary ExercisesChapter 6: Chapter TestChapters 0-6: Cumulative ReviewChapter 7. Radicals and Exponents7.1 Roots and RadicalsActivity 7: The Swing of a Pendulum7.2 Simplifying Radical Expressions7.3 Operations on Radicals7.4 Solving Radical Equations7.5 Rational Exponents7.6 Complex NumbersChapter 7: SummaryChapter 7: Summary ExercisesChapter 7: Chapter TestChapters 0-7: Cumulative ReviewChapter 8. Quadratic Equations8.1 Solving Quadratic EquationsActivity 8: The Gravity Model8.2 The Quadratic Formula8.3 An Introduction to Parabolas8.4 Quadratic Equations and Problem SolvingChapter 8: SummaryChapter 8: Summary ExercisesChapter 8: Chapter TestChapters 0-8: Cumulative Review Chapter 9. Rational Expressions9.1 Simplifying Rational ExpressionsActivity 9: Communicating Mathematical Ideas9.2 Multiplying and Dividing Rational Expressions9.3 Adding and Subtracting Rational Expressions9.4 Complex Rational Expressions9.5 Graphing Rational Functions9.6 Rational Equations and Problem SolvingChapter 9: SummaryChapter 9: Summary ExercisesChapter 9: Chapter TestChapters 0-9: Cumulative ReviewChapter 10. Exponential and Logarithmic Functions10.1 Algebra of FunctionsActivity 10: Half-Life and Decay10.2 Composition of Functions10.3 Inverse Functions10.4 Exponential Functions10.5 Logarithmic Functions10.6 Properties of Logarithms10.7 Logarithmic and Exponential EquationsChapter 10: SummaryChapter 10: Summary ExercisesChapter 10: Chapter TestChapters 0-10: Cumulative ReviewAppendicesA.1 Solving Inequalities in One Variable GraphicallyA.2 Solving Absolute-Value EquationsA.3 Solving Absolute-Value Equations GraphicallyA.4 Solving Absolute-Value InequalitiesA.5 Solving Absolute-Value Inequalities GraphicallyAnswers to Reading Your Text, Summary Exercises, Chapter Tests, and Cumulative ReviewsIndex