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The main focus of INTERMEDIATE ALGEBRA, 5e, is to address the fundamental needs of today's developmental math students. Offering a uniquely modern, balanced program, INTERMEDIATE 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 INTERMEDIATE 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.
- 70% of all end of section problems available in Enhanced WebAssign for INTERMEDIATE ALGEBRA, 5E.
- 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.
- 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.
- 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.
The Language of Algebra. The Real Numbers. Operations with Real Numbers. Simplifying Algebraic Expressions Using Properties of Real Numbers. Solving Linear Equations Using Properties of Equality. Solving Formulas; Geometry. Using Equations to Solve Problems. More about Problem Solving. Chapter Summary and Review. Chapter Test. Group Project.
2. GRAPHS, EQUATIONS OF LINES, AND FUNCTIONS.
Graphs. Graphing Linear Equations in Two Variables. Rate of Change and the Slope of a Line. Writing Equations of Lines. An Introduction to Functions. Graphs of Functions. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
3. SYSTEMS OF EQUATIONS.
Solving Systems of Equations by Graphing. Solving Systems of Equations Algebraically. Solving Systems of Equation in Three Variables. Solving Systems of Equations Using Matrices. Solving Systems of Equations Using Determinants. Problem Solving Using Systems of Two Equations. Problem Solving Using Systems of Three Equations. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
Solving Linear Inequalities in One Variable. Solving Compound Inequalities. Solving Absolute Value Equations and Inequalities. Linear Inequalities in Two Variables. Systems of Linear Inequalities. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
5. EXPONENTS, POLYNOMIALS, AND POLYNOMIAL FUNCTIONS.
Exponents. Scientific Notation. Polynomials and Polynomial Functions. Multiplying Polynomials. The Greatest Common Factor and Factoring by Grouping. Factoring Trinomials. The Difference of Two Squares; the Sum and Difference of Two Cubes. Summary of Factoring Techniques. Solving Equations by Factoring. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
6. RATIONAL EXPRESSIONS AND EQUATIONS.
Rational Functions and Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Simplifying Complex Fractions. Dividing Polynomials. Synthetic Division. Solving Rational Equations. Problem Solving Using Rational Equations. Proportion and Variation. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review
7. RADICAL EXPRESSIONS AND EQUATIONS.
Radical Expressions and Radical Functions. Rational Exponents. Simplifying and Combining Radical Expressions. Multiplying and Dividing Radical Expressions. Solving Radical Equations. Geometric Applications of Radicals. Complex Numbers. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
8. QUADRATIC EQUATIONS, FUNCTIONS, AND INEQUALITIES.
The Square Root Property and Completing the Square. The Quadratic Formula. The Discriminant and Equations That Can Be Written in Quadratic Form. Quadratic Functions and Their Graphs. Quadratic and Other Nonlinear Inequalities. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Algebra and Composition of Functions. Inverse Functions. Exponential Functions. Logarithmic Functions. Base-e Exponential and Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
10. CONIC SECTIONS; MORE GRAPHING.
The Circle and the Parabola. The Ellipse. The Hyperbola. Solving Nonlinear Systems of Equations. Chapter Summary and Review. Chapter Test. Group Project.
11. MISCELLANEOUS TOPICS.
The Binomial Theorem. Arithmetic Sequences and Series. Geometric Sequences and Series. Chapter Summary and Review. Chapter Test. Group Project. Cumulative Review.
Appendix 1: Roots and Powers.
Appendix 2: Answers to Selected 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.
PowerLecture with ExamView®
This CD-ROM 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, figures from the book, and Test Bank, in electronic format, are also included on this CD-ROM.
This online solutions manual allows instructors to create customizable solutions that they can print out to distribute or post as needed. This is a convenient and expedient way to deliver solutions to specific homework sets. Visit www.cengage.com/solutionbuilder.
Complete Solutions Manual
The Complete Solutions Manual provides worked-out solutions to all of the problems in the text.
Annotated Instructor's Edition
This special version of the complete student text contains all answers printed next to all respective exercises. Graphs, tables, and other answers appear in a special answer section in the back of the text.
Student Workbook Binder
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.
Developmental Mathematics CourseMate with eBook Instant Access Code
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.