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Based on the best-selling series by the Aufmann team, this hardcover text for the combined introductory and intermediate algebra course adheres to the formula that has made the Aufmann developmental texts so reliable for both students and instructors. The text's clear writing style, emphasis on problem-solving strategies, and proven Aufmann Interactive Method--in an objective-based framework--offer guided learning for both lecture and self-paced courses. The completely integrated learning system is organized by objectives. Each chapter begins with a list of learning objectives, which are woven throughout the text, in Exercises, Chapter Tests, and Cumulative Reviews, as well as through the print and multimedia ancillaries. The result is a seamless, easy-to-follow learning system.
- Enhanced WebAssign! Easy to Use. Easy to Assign. Easy to Manage. EWA is a user friendly way to assign, collect, grade, and record homework. Exercises come directly from the text and can be parameterized to ensure that every students has a parallel, but slightly different homework assignment. This complete learning system for students includes text-specific exercises, as well as tutorials, videos, and links to online tutoring, and eBook sections of the text.
- New Flash videos! Every end of chapter test question now is accompanied by a flash video available via the student website. These videos feature real instructors including co-author, Joanne Lockwood, as they demonstrate step-by-step solutions that follow the problem solving methods used in the text.
- All lessons, exercise sets, tests and supplements are organized around a carefully constructed hierarchy of objectives. This organization serves as a framework for a complete learning system, allowing students to remediate their learning independently at any point in the process.
- Think About It Exercises are conceptual in nature and appear near the end of an objective's exercise set. They ask the students to think about the objective's concepts, make generalizations, and apply them to more abstract problems. The focus is on mental mathematics, not calculation or computation, and help students synthesize concepts.
- AIM for Success, a special Preface for Students, guides students in successful use of the text and walks them through the Aufmann Interactive Method (AIM). Suggestions for teaching AIM for Success as a lesson on the first day of class are available in the Instructor's Resource Manual.
- Prep Tests at the beginning of each chapter preview the prerequisite skills that will be needed. The answers to these questions can be found in the Answer Appendix along with a reference to the objective from which the review question was taken.
- The Aufmann Interactive Method (AIM), which enhances the presentation of every objective, features one or more sets of matched-pair examples that encourage students to interact with the text. The first example in each set is completely worked out; the matched Problem prompts students to practice concepts as they are presented in the text. Each Problem includes a reference to an Appendix in the back of the text where there is a completely worked-out solution. This immediate feedback reinforces the concept, helps to identify problem areas, and prevents frustration.
- Interactive Exercises appear at the beginning of an objective's exercise set (when appropriate), and provide students with guided practice on some of the objective's underlying principles.
1. REAL NUMBERS.
Introduction to Integers. Operations with Integers. Rational Numbers. Exponents and the Order of Operations Agreement. Focus on Problem Solving: Inductive Reasoning. Projects and Group Activities: Calculators; Using Patterns in Mathematics; www.fedstats.gov; Moving Averages.
2. VARIABLE EXPRESSIONS.
Evaluating Variable Expressions. Simplifying Variable Expressions. Translating Verbal Expressions into Variable Expressions. Focus on Problem Solving: From Concrete to Abstract. Projects and Group Activities: Investigation into Operations with Even and Odd Integers; Applications of Patterns in Mathematics.
3. SOLVING EQUATIONS AND INEQUALITIES.
Introduction to Equations. General Equations. Inequalities. Focus on Problem Solving: Analyzing Data. Projects and Group Activities: Health and Nutrition; The Consumer Price Index.
4. SOLVING EQUATIONS AND INEQUALITIES: APPLICATIONS.
Translating Sentences into Equations. Integer, Coin, and Stamp Problems. Geometry Problems. Markup and Discount Problems. Investment Problems. Mixture Problems. Uniform Motion Problems. Inequalities. Focus on Problem Solving: Trial-and-Error Approach to Problem Solving; Diagramming Problems. Projects and Group Activities: Nielsen Ratings; Changes in Percent Concentration.
5. LINEAR EQUATIONS AND INEQUALITIES.
The Rectangular Coordinate System. Graphs of Straight Lines. Slopes of Straight Lines. Equations of Straight Lines. Functions. Graphing Linear Inequalities. Focus on Problem Solving: Counterexamples. Projects and Group Activities: Graphing Linear Equations with a Graphing Utility; Population Projections.
6. SYSTEMS OF LINEAR EQUATIONS.
Solving Systems of Linear Equations by Graphing. Solving Systems of Linear Equations by the Substitution Method. Solving Systems of Linear Equations by the Addition Method. Application Problems in Two Variables. Focus on Problem Solving: Using a Table and Searching for a Pattern. Projects and Group Activities: Find a Pattern; Break-even Analysis; Solving a System of Equations with a Graphing Calculator.
Addition and Subtraction of Polynomials. Multiplication of Monomials. Multiplication of Polynomials. Integer Exponents and Scientific Notation. Division of Polynomials. Focus on Problem Solving: Dimensional Analysis. Projects and Group Activities: Pascal''s Triangle; Population and Land Allocation; Properties of Polynomials.
Common Factors. Factoring Polynomials of the Form x2 + bx + c. Factoring Polynomials of the Form ax2 + bx + c. Special Factoring. Solving Equations. Focus on Problem Solving: Making a Table; The Trial-and-Error Method. Projects and Group Activities: Prime and Composite Numbers; Search the World Wide Web; Problems Involving Falling Objects.
9. RATIONAL EXPRESSIONS.
Multiplication and Division of Rational Expressions. Expressing Fractions in Terms of the Least Common Multiple of Their Denominators. Addition and Subtraction of Rational Expressions. Complex Fractions. Equations Containing Fractions. Literal Equations. Application Problems. Focus on Problem Solving: Negations and If...then...Sentences; Calculators. Projects and Group Activities: Intensity of Illumination; Scale Model of the Solar System.
10. RADICAL EXPRESSIONS.
Introduction to Radical Expressions. Addition and Subtraction of Radical Expressions. Multiplication and Division of Radical Expressions. Solving Equations Containing Radical Expressions. Focus on Problem Solving: Deductive Reasoning. Projects and Group Activities: Mean and Standard Deviation; Distance to the Horizon; Expressway On-Ramp Curves.
11. QUADRATIC EQUATIONS.
Section 11.1 Solving Quadratic Equations by Factoring or by Taking Square Roots. Solving Quadratic Equations by Completing the Square. Solving Quadratic Equations by Using the Quadratic Formula. Graphing Quadratic Equations in Two Variables. Application Problems. Focus on Problem Solving: Applying Algebraic Manipulation and Graphing Techniques to Business. Projects and Group Activities: Graphical Solutions of Quadratic Equations; Geometric Construction of Completing the Square.
Appendix: Table of Properties; Calculator Guide for the TI-83 and TI-83 Plus.
Solutions to Chapter Problems.
Answers to Selected Exercises.
Cengage provides a range of supplements that are updated in coordination with the main title selection. For more information about these supplements, contact your Learning Consultant.
Chapter Test Videos Instant Access Code, Multimedia Ed.
Chapter Test Videos will help you prepare for your next test. Every end-of-chapter test question from the textbook has an accompanying video, featuring actual instructors. Step-by-Step solutions follow the problem-solving methods used in the text. Rewind, play and pause buttons allow you to review at your own pace. The solutions include interactive questions with immediate feedback on your answer.