Professional

# College Algebra, 9th Edition

### Overview

This market-leading text continues to provide students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a one-term course that prepares students for further study in mathematics, the new ninth edition retains the features that have always made COLLEGE ALGEBRA a complete solution for both students and instructors: interesting applications, pedagogically effective design, and innovative technology combined with an abundance of carefully developed examples and exercises.

### Features and Benefits

• "Side-by-Side Examples" help students see not only that a problem can be solved in more than one way but also how different methods--algebraically, graphically, and numerically--yield the same result. The side-by-side format also addresses many different learning styles.
• "Algebra Helps" direct students to sections of the textbook where they can review algebra skills needed to master the current topic.
• Technology features offer suggestions for effectively using tools such as calculators, graphing calculators, and spreadsheet programs to deepen student understanding of concepts, ease lengthy calculations, and provide alternate solution methods for verifying answers obtained by hand.
• "Historical Notes" provide helpful information regarding basic mathematical foundations.
• "Algebra of Calculus" examples and exercises throughout the text emphasize various algebraic techniques used in calculus.
• Vocabulary exercises at the beginning of the exercise set for each section help students review previously learned vocabulary terms necessary to solve the section exercises.
• Student projects in various sections and online feature in-depth applied exercises with large, real-life data sets, where students create or analyze models.
• Chapter summaries include explanations and examples of the objectives taught in the chapter.
• Larson's COLLEGE ALGEBRA is ideal for a one-semester course.

P. PREREQUISITES.
Review of Real Numbers and Their Properties. Exponents and Radicals. Polynomials and Special Products. Factoring Polynomials. Rational Expressions. The Rectangular Coordinate System and Graphs. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
1. EQUATIONS, INEQUALITIES, AND MATHEMATICAL MODELING.
Graphs of Equations. Linear Equations in One Variable. Modeling with Linear Equations. Quadratic Equations and Applications. Complex Numbers. Other Types of Equations. Linear Inequalities in One Variable. Other Types of Inequalities. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
2. FUNCTIONS AND THEIR GRAPHS.
Linear Equations in Two Variables. Functions. Analyzing Graphs of Functions. A Library of Parent Functions. Transformations of Functions. Combinations of Functions: Composite Functions. Inverse Functions. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters P-2. Proofs in Mathematics. P.S. Problem Solving.
3. POLYNOMIAL FUNCTIONS.
Quadratic Functions and Models. Polynomial Functions of Higher Degree. Polynomial and Synthetic Division. Zeros of Polynomial Functions. Mathematical Modeling and Variation. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
4. RATIONAL FUNCTIONS AND CONICS.
Rational Functions and Asymptotes. Graphs of Rational Functions. Conics. Translations of Conics. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions and Their Graphs. Logarithmic Functions and Their Graphs. Properties of Logarithms. Exponential and Logarithmic Equations. Exponential and Logarithmic Models. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters 3-5. Proofs in Mathematics. P.S. Problem Solving.
6. SYSTEMS OF EQUATIONS AND INEQUALITIES.
Linear and Nonlinear Systems of Equations. Two-Variable Linear Systems. Multivariable Linear Systems. Partial Fractions. Systems of Inequalities. Linear Programming. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
7. MATRICES AND DETERMINANTS.
Matrices and Systems of Equations. Operations with Matrices. The Inverse of a Square Matrix. The Determinant of a Square Matrix. Applications of Matrices and Determinants. Chapter Summary. Review Exercises. Chapter Test. Proofs in Mathematics. P.S. Problem Solving.
8. SEQUENCES, SERIES, AND PROBABILITY.
Sequences and Series. Arithmetic Sequences and Partial Sums. Geometric Sequences and Series. Mathematical Induction. The Binomial Theorem. Counting Principles. Probability. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test for Chapters 6-8. Proofs in Mathematics. P.S. Problem Solving.
APPENDIX A: ERRORS AND THE ALGEBRA OF CALCULUS.
APPENDIX B: CONCEPTS IN STATISTICS (WEB).
Representing Data. Measures of Central Tendency and Dispersion. Least Squares Regression.

### What's New

• Fresh chapter openers highlight real-life problems that connect to the examples and exercises presented in the following chapter.
• Innovative "Summarize" features help students organize the lesson's key concepts into a concise summary, providing a valuable study tool at the end of each section.
• Unprecedented "How Do You See It?" exercises in every section present real-life problems that students solve by visual inspection using the concepts in the lesson.
• Original "Checkpoint" problems encourage immediate practice and check students' understanding of the concepts in the paired example.
• New Series Companion Website features chapter projects, data tables, assessments, study tools, video solutions, and more to support students outside the text.
• Enhanced "Exercise Sets" deliver more rigor, relevancy, and coverage than ever before and feature multi-step, real-life exercises to reinforce problem-solving skills and mastery of concepts.
• Expanded "Section Objectives" offer students the opportunity to preview what will be presented in the upcoming section.
• Enriched remarks reinforce or expand on concepts helping students learn how to study mathematics, avoid common errors, address special cases, or show alternative or additional steps to a solution of an example.
• Up-to-the-minute homework support through CalcChat.com, an independent website, provides students with free solutions to all odd-numbered problems in the text.

• ### Hybrid Paperback Edition

ISBN-10: 1133950531 | ISBN-13: 9781133950530

List Price = \$153.95  | CengageBrain Price = \$153.95

### Bundle: Text + Enhanced WebAssign Printed Access Card for Pre-Calculus & College Algebra, Single-Term Courses

ISBN-10: 1285473248  | ISBN-13: 9781285473246

List Price = \$320.95

### ePack: Text + Enhanced WebAssign with eBook LOE Instant Access Code for One-Term Math and Science

ISBN-10:  1285715772  | ISBN-13:  9781285715773

List Price = \$320.95  | CengageBrain Price = \$320.95

### Bundle: Text + Student Solutions Manual

ISBN-10:  1305420950  | ISBN-13:  9781305420953

List Price = \$430.95  | CengageBrain Price = \$430.95

### Bundle: Text + CourseMate Printed Access Card

ISBN-10:  1305599578  | ISBN-13:  9781305599574

List Price = \$327.95  | CengageBrain Price = \$327.95

### Digital Bundle: College Algebra, 9th Edition VitalSource ebook + Enhanced WebAssign (1-year access) + CourseMate (1-year access)

ISBN-10:  1305340582 | ISBN-13:  9781305340589

List Price = \$124.95

## Efficacy and Outcomes

### Reviews

"I like [the Side-by-Side Examples] a lot. I often do this during my lectures so it is nice to see it in a textbook. Some students NEED to see the visual/graphical solution to truly understand the problem and its answer."

— Professor Denise Reid

"The geometry and physics applications provide good training for students planning to continue in the upper level math courses; whereas, the day-to-day applications (business, weather, home life, etc.) make the math useful to those students who will not continue beyond College Algebra. There are different levels of rigor as well, which allows an instructor to tailor assignments based on which majors are enrolled in individual sections."

— Professor Shannon Cornell

## Supplements

All supplements have been updated in coordination with the main title. Select the main title's "About" tab, then select "What's New" for updates specific to title's edition.

### Instructor Supplements

#### Test Bank  (ISBN-10: 1133961223 | ISBN-13: 9781133961222)

Includes test forms for every chapter of the text.

#### Complete Solutions Manual  (ISBN-10: 1133961347 | ISBN-13: 9781133961345)

This manual contains solutions to all exercises from the text, including Chapter Review Exercises, and Chapter Tests.

#### PowerLecture with ExamView®  (ISBN-10: 1133961363 | ISBN-13: 9781133961369)

The DVD-ROM provides the instructor with dynamic media tools for teaching College Algebra. PowerPoint® lecture slides and art slides of the figures from the text, together with electronic files for the Test Bank and a link to the Solution Builder, are available. The algorithmic ExamView® allows you to create, deliver, and customize tests (both print and online) in minutes with this easy-to-use assessment system. Enhance how your students interact with you, your lecture, and each other.

#### Text-Specific DVDs  (ISBN-10: 1133962874 | ISBN-13: 9781133962878)

Keyed to the text by section, these DVDs and provide comprehensive coverage of the course—along with additional explanations of concepts, sample problems, and applications—to help students review essential topics.

List Price = \$101.95  | CengageBrain Price = \$101.95  | College Bookstore Wholesale Price = \$75.75

#### Student Solutions Manual  (ISBN-10: 1133962947 | ISBN-13: 9781133962946)

This guide offers step-by-step solutions for all odd-numbered text exercises, Chapter and Cumulative Tests, and Practice Tests with solutions.

List Price = \$116.95  | CengageBrain Price = \$116.95  | College Bookstore Wholesale Price = \$87.75

#### CourseMate, 1 term (6 months) Instant Access  (ISBN-10: 1133951368 | ISBN-13: 9781133951360)

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.

List Price = \$219.00  | CengageBrain Price = \$219.00  | College Bookstore Wholesale Price = \$219.00

#### Enhanced WebAssign Instant Access for Pre-Calculus & College Algebra, Single-Term Courses  (ISBN-10: 128585831X | ISBN-13: 9781285858319)

List Price = \$94.00  | CengageBrain Price = \$94.00  | College Bookstore Wholesale Price = \$94.00

### Student Supplements

#### Text-Specific DVDs  (ISBN-10: 1133962874 | ISBN-13: 9781133962878)

Keyed to the text by section, these DVDs and provide comprehensive coverage of the course—along with additional explanations of concepts, sample problems, and applications—to help students review essential topics.

List Price = \$101.95  | CengageBrain Price = \$101.95  | College Bookstore Wholesale Price = \$75.75

#### Student Solutions Manual  (ISBN-10: 1133962947 | ISBN-13: 9781133962946)

This guide offers step-by-step solutions for all odd-numbered text exercises, Chapter and Cumulative Tests, and Practice Tests with solutions.

List Price = \$116.95  | CengageBrain Price = \$116.95  | College Bookstore Wholesale Price = \$87.75

#### CourseMate, 1 term (6 months) Instant Access  (ISBN-10: 1133951368 | ISBN-13: 9781133951360)

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.

List Price = \$219.00  | CengageBrain Price = \$219.00  | College Bookstore Wholesale Price = \$219.00

#### Enhanced WebAssign Instant Access for Pre-Calculus & College Algebra, Single-Term Courses  (ISBN-10: 128585831X | ISBN-13: 9781285858319)

List Price = \$94.00  | CengageBrain Price = \$94.00  | College Bookstore Wholesale Price = \$94.00

#### Flash Cards, 1 term (6 months) Instant Access  (ISBN-10: 1285798554 | ISBN-13: 9781285798554)

Flashcards designed to work with your text can help you to review and learn essential terms and key concepts. Interactive flashcards include terms and definitions for each chapter. This is instant access product; at the completion of your purchase, simply go to "My Home" and gain immediate access to your product. Note: If you have purchased CourseMate for your title, flash cards are already included.

List Price = \$4.00  | College Bookstore Wholesale Price = \$4.00

#### Quizzing, 1 term (6 months) Instant Access  (ISBN-10: 1285794753 | ISBN-13: 9781285794754)

List Price = \$5.00  | College Bookstore Wholesale Price = \$5.00