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Intended for developmental math courses in beginning algebra, this text retains the hallmark features that have made the Aufmann texts market leaders: an interactive approach in an objective-based framework: a clear writing style, and an emphasis on problem-solving strategies. The acclaimed Aufmann Interactive Method, allows students to try a skill as it is introduced with matched-pair examples, offering students immediate feedback, reinforcing the concept, identifying problem areas, and, overall, promoting student success.
- Prep Tests now appear at the start of each chapter. The Prep Tests will help students determine those skills in which they may already be proficient versus those skills which may need to be reviewed further before they can successfully complete the work in the upcoming chapter.
- The end of chapter Summary has been revised. The Key Words and Essential Rules and Procedures are now mapped to specific page numbers, objectives, and examples for review.
- Easily write, edit and update your syllabus with the Aufmann/Lockwood Syllabus Creator. This software program allows you to create your new syllabus in 6 easy steps: select the required course objectives, add your contact information, course information, student expectations, the grading policy, dates and location, and your course outline. And now you have your syllabus!
- Focus on Success appears at the beginning of each chapter and offers practical tips for improving study habits and performance on tests and exams.
- How It's Used boxes present scenarios from the real world that demonstrate the utility of selected concepts from the text.
- The Focus On feature alerts students to a specific type of problem they must master to succeed with the homework exercises or a test. These problems are accompanied by detailed explanations for each step of the solution.
- The definition/key concepts boxes are newly revised. They now contain examples to illustrate how each definition or key concept applies in practice.
- Try Exercise prompts are given at the end of each Example/Problem pairing and correspond with exercises in the section-ending Exercises. By following the prompts, students can immediately apply techniques presented in worked examples to homework exercises.
- Concept Check exercises appear at the beginning of each section-ending exercise set. They promote conceptual understanding. Completing these exercises will help students deepen their understanding of the concepts being addressed.
- In the News exercises are application exercises found throughout most sections of the text. They are based on newsworthy data and facts and are often drawn from current events.
- Projects or Group Activities appear at the end of each set of exercises. These may be assigned to students to complete individually, or they may be assigned as group activities.
- Getting Ready exercises provide students with guided practice on the underlying principles of various objectives.
- Think About It Exercises are conceptual in nature. They ask students to think about a concept, make generalizations, and apply them to more abstract problems. The focus is on mental mathematics, not calculation or computation, and help students synthesize concepts.
- Important Points are highlighted to capture students' attention. With these signposts, students are able to recognize what is most important and study more efficiently.
1. PRE-ALGEBRA REVIEW.
Introduction to Integers. Operations with Integers. Rational Numbers. Exponents and the Order of Operations Agreement. Concepts from Geometry.
2. VARIABLE EXPRESSIONS.
Evaluating Variable Expressions. Simplifying Variable Expressions. Translating Verbal Expressions into Variable Expressions.
3. SOLVING EQUATIONS AND INEQUALITIES.
Introduction to Equations. Applications of Equations of the Form _ax_ = _b_. General Equations. Inequalities.
4. SOLVING EQUATIONS AND INEQUALITIES: APPLICATIONS.
Translating Sentences into Equations. Geometry Problems. Markup and Discount Problems. Investment Problems. Mixture Problems. Uniform Motion Problems. Inequalities.
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.
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.
Addition and Subtraction of Polynomials. Multiplication of Monomials. Multiplication of Polynomials. Integer Exponents and Scientific Notation. Division of Polynomials.
Common Factors. Factoring Polynomials of the Form _x_^2 + _bx_ + _c_. Factoring Polynomials of the Form _ax_^2 + _bx_ + _c_. Special Factoring. Factoring Polynomials Completely. Solving Equations.
9. RATIONAL EXPRESSIONS.
Multiplication and Division of Rational Expressions. Expressing Fractions in Terms of the LCD. Addition and Subtraction of Rational Expressions. Complex Fractions. Equations Containing Fractions. Variation. Literal Equations. Application Problems.
10. RADICAL EXPRESSIONS.
Introduction to Radical Expressions. Addition and Subtraction of Radical Expressions. Multiplication and Division of Radical Expressions. Solving Equations Containing Radical Expressions.
11. QUADRATIC EQUATIONS.
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. Complex Numbers. Graphing Quadratic Equations in Two Variables. Application Problems.
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.