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The main focus of ELEMENTARY ALGEBRA, 5e, is to address the fundamental needs of today's developmental math students. Offering a uniquely modern, balanced program, ELEMENTARY ALGEBRA, 5e, integrates conceptual understanding with traditional skill and practice reinforced through visual and interactive practice in Enhanced WebAssign, available exclusively from Cengage Learning. By helping students understand the language of algebra and the "why" behind problem solving through instructional approaches and worked examples, they are better equipped to succeed at the "how." Practice is essential in making these connections and it is emphasized in ELEMENTARY ALGEBRA, 5e, with additional practice problems both in the text and Enhanced WebAssign. Give your students confidence by showing them how Algebra is not just about the x…it's also about the WHY.
- New! "Are You Ready?" problems start each section to review crucial prerequisite skills that students need to have mastered in order to be successful with the new topics of that section. "Are You Ready?" questions also are available in Enhanced WebAssign providing you with the opportunity to assign short quizzes to test your students' knowledge before class.
- New! "Look Alikes" feature builds students' problem recognition skills. This feature requires students to distinguish between similar looking problem types and then select the correct strategy to solve the problem. Encountering such situations in the homework assignments will better prepare students for quizzes and tests. A broad selection of "Look Alikes" problems are available in Enhanced WebAssign for you to assign.
- Over 80% more "Try It Yourself" problems were added to the Fifth Edition based on instructors and reviewers requests for additional problem recognition practice. These problem types are thoroughly mixed, giving students an opportunity to practice decision making and strategy selection as they would when taking a test or quiz. Easily assign a variety of "Try It Yourself" problems through Enhanced WebAssign to offer your students strategy selection practice.
- Six-Step Problem Solving Strategy. To better delineate the thought process students use as they solve application problems, the new edition includes a new second step (Assign a variable to represent an unknown value in the problem) in what was formerly a five-step process. The six steps of the problem solving strategy are: Analyze the problem, Assign a variable, Form an equation, Solve the equation, State the conclusion, and Check the result.
- New to this edition, from the comprehensive Study Sets in each section all the Vocabulary problems, a wide selection of Try It Yourself and Guided Practice problems, and at least one Challenge Problem per section are available on Enhanced WebAssign.
- Additional Relevant, Motivating Applications in the Examples and Study Sets. The new edition includes many new applied examples and problems that involve relevant topics such as our environment and sustainability issues, energy savings, technology and social media, and recycling.
- Each chapter in the Fifth Edition has three Campus to Careers problems that explore the mathematical connections to careers that are presented at the beginning of each chapter.
- 70% of all end of section problems available in Enhanced WebAssign for ELEMENTARY ALGEBRA, 5E.
- Study Sets found in each section are designed for students to methodically build their knowledge of the section concepts, from basic recall to increasingly complex problem solving, through reading, writing, and thinking mathematically. Each Study Set includes the following exercises: Vocabulary, Concepts, Notation, Guided Practice, Try It Yourself, Applications, Writing, Review, and Challenge Problems. All the Vocabulary problems, a wide selection of Try It Yourself and Guided Practice problems, and at least one Challenge Problem per section are available on Enhanced WebAssign.
- Reading the Language of Algebra. Students often have difficulty reading the mathematical notation of algebra. To provide students assistance, notes, such as "Read as ..." statements, appear throughout the text to explain how to read newly introduced notation.
- The Language of Algebra boxes draw connections between mathematical terms and everyday references to reinforce the language of algebra thread that runs throughout the text.
- Cumulative Reviews follow the end-of-chapter material and test students' skills before moving on to the next chapter. Each problem is linked to the associated section for easy reference.
- Using Your Calculator is an optional feature designed for instructors who wish to use calculators as part of the instruction in this course. This feature introduces keystrokes and shows how scientific and graphing calculators can be used to solve problems.
- Valuable Teaching Tools. Teaching Tips have been placed at strategic places in the margins to offer instructional suggestions that can be employed during classroom presentations. In addition, each worked example has an accompanying Teaching Example that instructors can use as part of a classroom lecture.
- Worked examples with Strategy and Why explanation help students gain a deeper understanding of the algebraic concepts because they understand why a particular approach was taken. Detailed author notes throughout the worked example guide students along a step-by-step process. At the end of each worked example, a "Self Check" problem offers immediate practice and feedback on the students' understanding and "Now Try" links to similar problems in the Guided Practice section of the Study Sets.
Introducing the Language of Algebra. Fractions. The Real Numbers. Adding Real Numbers; Properties of Addition. Subtracting Real Numbers. Multiplying and Dividing Real Numbers; Multiplication and Division Properties. Exponents and Order of Operations. Algebraic Expressions. Simplifying Algebraic Expressions Using Properties of Real Numbers. Chapter Summary and Review. Chapter Test. Group Project.
2. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING.
Solving Equations Using Properties of Equality. More about Solving Equations. Applications of Percent. Formulas. Problem Solving. More about Problem Solving. Solving Inequalities. Chapter Summary and Review. Chapter Test. Group Project.
3. GRAPHING LINEAR EQUATIONS AND INEQUALITIES IN TWO VARIABLES; FUNCTIONS.
Graphing Using the Rectangular Coordinate System. Graphing Linear Equations. Intercepts. Slope and Rate of Change. Slope-Intercept Form. Point-Slope Form. Graphing Linear Inequalities. An Introduction to Functions. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
4. SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES.
Solving Systems of Equations by Graphing. Solving Systems of Equations by Substitution. Solving Systems of Equations by Elimination (Addition). Problem Solving Using Systems of Equations. Solving Systems of Linear Inequalities. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
5. EXPONENTS AND POLYNOMIALS.
Rules for Exponents. Zero and Negative Exponents. Scientific Notation. Polynomials. Adding and Subtracting Polynomials. Multiplying Polynomials. Special Products. Dividing Polynomials. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
6. FACTORING AND QUADRATIC EQUATIONS.
The Greatest Common Factor; Factoring by Grouping. Factoring Trinomials of the Form x2 + bx + c. Factoring Trinomials of the Form ax2 + bx + c . Factoring Perfect-Square Trinomials and the Difference of Two Squares. Factoring the Sum and Difference of Two Cubes. A Factoring Strategy. Solving Quadratic Equations by Factoring. Applications of Quadratic Equations. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
7. RATIONAL EXPRESSIONS AND EQUATIONS.
Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting with Like Denominators; Least Common Denominators. Adding and Subtracting with Unlike Denominators. Simplifying Complex Fractions. Solving Rational Equations. Problem Solving Using Rational Equations. Proportions and Similar Triangles. Variation. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
8. RADICAL EXPRESSIONS AND EQUATIONS.
An Introduction to Square Roots. Simplifying Square Roots. Adding and Subtracting Radical Expressions. Multiplying and Dividing Radical Expressions. Solving Radical Equations. Higher-Order Roots and Rational Exponents. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
9. QUADRATIC EQUATIONS.
Solving Quadratic Equations: The Square Root Property. Solving Quadratic Equations: Completing the Square. Solving Quadratic Equations: The Quadratic Formula. Complex Numbers (Available online at www.cengage.com/math/tussy). Graphing Quadratic Equations (Available online at www.cengage.com/math/tussy). Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
Appendix 1: Statistics.
Appendix 2: Roots and Powers.
Appendix 3: 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.
Complete Solutions Manual
The Complete Solutions Manual provides worked-out solutions to all of the problems in the text.
This online instructor database offers complete worked solutions to all exercises in the text, allowing you to create customized, secure solutions printouts (in PDF format) matched exactly to the problems you assign in class. For more information, visit www.cengage.com/solutionbuilder
PowerLecture with ExamView®
This CD-ROM (or DVD) provides the instructor with dynamic media tools for teaching. Create, deliver, and customize tests (both print and online) in minutes with ExamView® Computerized Testing Featuring Algorithmic Equations. Easily build solution sets for homework or exams using Solution Builder's online solutions manual. Microsoft® PowerPoint® lecture slides and figures from the book are also included on this CD-ROM (or DVD). Also includes print-ready test banks.
Student Solutions Manual
Contains fully worked-out solutions to all of the odd-numbered exercises in the text, giving students a way to check their answers and ensure that they took the correct steps to arrive at an answer.
Get a head start! The Student Workbook contains all of the Assessments, Activities, and Worksheets from the Instructor's Resource Binder for classroom discussions, in-class activities, and group work.
Complete Course Notebook
NEW! Get your students up to speed with study skills while they learn course-specific material. This notebook introduces students to the steps they need to take to ensure college success, and then guides them step-by-step through each section of their textbook. Each chapter contains a chapter readiness assessment, fill-in-the-blank course notes, activities, structured note taking guides, end-of-chapter test prep, and helpful study aids. The notebook also contains general tip sheets on note taking, studying, assessing their test scores, and much more. The three-hole punched and perforated format allows students to insert all relevant pages into a 3-ring binder and organize them along with their class notes, homework, review sheets, and tests.
Student Solutions Manual
Complete Course Notebook
CourseMate Instant Access
Cengage Learning's CourseMate brings course concepts to life with interactive learning, study, and exam preparation tools that support the printed textbook. Maximize your course success with the integrated eBook and chapter-specific learning tools that include flashcards, quizzes, videos, and more in your CourseMate. Key Features: Interactive eBook, Engagement Tracker, Learning Objectives, Tutorial Quizzes, Glossary and Flashcards, and Web Links and References.