Professional

# Elementary Algebra, 5th Edition

### Overview

Larson IS student success. ELEMENTARY ALGEBRA owes its success to the hallmark features for which the Larson team is known: learning by example, a straightforward and accessible writing style, emphasis on visualization through the use of graphs to reinforce algebraic and numeric solutions and to interpret data, and comprehensive exercise sets. These pedagogical features are carefully coordinated to ensure that students are better able to make connections between mathematical concepts and understand the content. With a bright, appealing design, the new Fifth Edition builds on the Larson tradition of guided learning by incorporating a comprehensive range of student success materials to help develop students' proficiency and conceptual understanding of algebra. The text also continues coverage and integration of geometry in examples and exercises.

### Features and Benefits

• Emphasis on learning objectives and outcomes--Every section begins with a list of learning objectives called What You Should Learn. Each objective is restated in the margin at the point where it is covered. Why Should You Learn It provides a motivational explanation for learning the given objectives.
• Detailed, titled examples to develop concepts--Each example has been carefully chosen to illustrate a particular mathematical concept or problem-solving technique. The examples cover a wide variety of problems and are titled for easy reference. Many include detailed, step-by-step solutions with side comments that explain the key steps of the solution process.
• Real-world applications--Identified by an icon, a wide variety of real-life applications are integrated throughout the text in examples and exercises, demonstrating the relevance of algebra in the real world. Many of the applications use current, real data.
• Straightforward problem-solving approach--The text provides many opportunities for students to sharpen problem-solving skills. In both the examples and the exercises, students are asked to apply verbal, numerical, analytical, and graphical approaches to problem solving. The authors' five-step strategy for solving applied problems begins with constructing a verbal model and ends with checking the answer.
• Plentiful exercises and tests--Graded exercise sets are grouped into three categories, offering a diversity of computational, conceptual, and applied problems to accommodate many learning styles. Detailed solutions to odd-numbered exercises are in the Student Solutions Guide; answers to odd-numbered exercises are in the back of the text.
• Chapter-ending Review Exercises contain skill-building and application exercises, grouped by learning objectives. Mid-chapter quizzes, chapter tests, and cumulative tests provide additional opportunities to practice skills.
• In-text learning aids--Definitions and rules are highlighted, Study Tips offer suggestions for studying algebra and point out common errors, and Technology Tips point out where the use of a graphing calculator is helpful in visualizing concepts and solving the problem.

1. THE REAL NUMBER SYSTEM.
Real Numbers: Order and Absolute Value. Adding and Subtracting Integers. Multiplying and Dividing Integers. Mid-Chapter Quiz. Operations with Rational Numbers. Exponents, Order of Operations, and Properties of Real Numbers.
2. FUNDAMENTALS OF ALGEBRA.
Writing and Evaluating Algebraic Expressions. Simplifying Algebraic Expressions. Mid-Chapter Quiz. Algebra and Problem Solving. Introduction to Equations.
3. LINEAR EQUATIONS AND PROBLEM SOLVING.
Solving Linear Equations. Equations that Reduce to Linear Form. Problem Solving with Percents. Mid-Chapter Quiz. Ratios and Proportions. Geometric and Scientific Applications. Linear Inequalities.
4. EQUATIONS AND INEQUALITIES IN TWO VARIABLES.
Ordered Pairs and Graphs. Graphs of Equations in Two Variables. Slope and Graphs of Linear Equations. Mid-Chapter Quiz. Equations of Lines. Graphs of Linear Inequalities.
5. EXPONENTS AND POLYNOMIALS.
Negative Exponents and Scientific Notation. Adding and Subtracting Polynomials. Mid-Chapter Quiz. Multiplying Polynomials: Special Products. Dividing Polynomials.
6. FACTORING AND SOLVING EQUATIONS.
Factoring Polynomials with Common Factors. Factoring Trinomials. More About Factoring Trinomials. Mid-Chapter Quiz. Factoring Polynomials with Special Forms. Solving Quadratic Equations by Factoring.
7. RATIONAL EXPRESSIONS AND EQUATIONS.
Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Mid-Chapter Quiz. Complex Fractions. Rational Equations and Applications.
8. SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES.
Solving Systems of Equations by Graphing. Solving Systems of Equations by Substitution. Solving Systems of Equations by Elimination. Mid-Chapter Quiz. Applications of Systems of Linear Equations. Systems of Linear Inequalities.
Solution by the Square Root Property. Solution by Completing the Square. Solution by the Quadratic Formula. Mid-Chapter Quiz. Graphing Quadratic Equations. Applications of Quadratic Equations. Complex Numbers. Relations, Functions, and Graphs.
APPENDICES.
Appendix A: Introduction to Graphing Calculators. Appendix B: Further Concepts in Geometry (Web). Appendix C: Further Concepts in Statistics (Web).
ANSWERS TO ODD-NUMBERED EXERCISES, QUIZZES, AND TESTS.
INDEX OF APPLICATIONS.
INDEX.

### What's New

• Emphasis on study skills and self-responsibility--Each chapter opener presents a study skill essential to success in mathematics, followed by a Smart Study Strategy that offers concrete ways that students can help themselves with the skill. These chapter openers were written by noted study skills expert, Kimberly Nolting. Quotes from real students who have successfully used the strategy appear in It Worked for Me! Later in the chapter, a Smart Study Strategy note points out an appropriate time to use the strategy.
• Concept Checks--Each exercise set is preceded by four non-computational exercises that check students' understanding of the main concepts of the section. These exercises could be completed in class to make sure that students are ready to start the exercise set.
• Checkpoints--Each example is followed by a checkpoint exercise. After working through an example, students can try the checkpoint exercise in the exercise set to check their understanding of the concepts presented in the example.
• Interactive chapter summaries--The What Did You Learn? section at the end of each chapter has been reorganized and expanded to promote interactivity and better help students prepare for exams. The Plan for Test Success provides a place for students to actively plan their studying for a test; it also includes a checklist of things to review. Students can check off chapter Key Terms and Key Concepts as they are reviewed. A space to record assignments for each section of the chapter is also provided.
• Cumulative review exercises--Each exercise set (except those in Chapter 1) is followed by exercises that cover concepts from previous sections. This serves as a review for students and also helps them connect old concepts with new concepts.

### Bundle: Text + Enhanced WebAssign Homework Printed Access Card for One Term Math and Science

ISBN-10: 1111019614  | ISBN-13: 9781111019617

List Price = \$301.95

### Bundle: Text + Enhanced WebAssign Homework and eBook Access Card for One Term Math and Science

ISBN-10:  1111019622  | ISBN-13:  9781111019624

List Price = \$326.95  | CengageBrain Price = \$326.95

### Bundle: Text + Student Workbook

ISBN-10:  1111488940  | ISBN-13:  9781111488949

List Price = \$326.95  | CengageBrain Price = \$326.95

### Bundle: Text + Student Solutions Manual

ISBN-10:  053877939X  | ISBN-13:  9780538779395

List Price = \$405.95  | CengageBrain Price = \$405.95

### Bundle: Elementary Algebra, 5th + Math Study Skills Workbook, 4th

ISBN-10:  1111871671 | ISBN-13:  9781111871673

List Price = \$391.95  | CengageBrain Price = \$391.95

## 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

#### Student Solutions Manual  (ISBN-10: 0547140118 | ISBN-13: 9780547140117)

Prepare for exams and succeed in your mathematics course with this comprehensive solutions manual! Featuring worked out-solutions to the problems in ELEMENTARY ALGEBRA, 5th Edition, this manual shows you how to approach and solve problems using the same step-by-step explanations found in your textbook examples.

List Price = \$84.95  | CengageBrain Price = \$84.95  | College Bookstore Wholesale Price = \$64.00

#### Enhanced WebAssign  (ISBN-10: 054714010X | ISBN-13: 9780547140100)

List Price = \$82.00  | College Bookstore Wholesale Price = \$61.50

#### Web Site  (ISBN-10: 054714007X | ISBN-13: 9780547140070)

List Price = \$.00  | College Bookstore Wholesale Price = \$.00

#### Enhanced WebAssign Instant Access for Developmental Math, Single-Term Courses  (ISBN-10: 1285857739 | ISBN-13: 9781285857732)

List Price = \$82.00  | CengageBrain Price = \$82.00  | College Bookstore Wholesale Price = \$82.00

#### Bundle: Text + Enhanced WebAssign Homework and eBook Access Card for One Term Math and Science  (ISBN-10: 1111019622 | ISBN-13: 9781111019624)

Larson IS student success. ELEMENTARY ALGEBRA owes its success to the hallmark features for which the Larson team is known: learning by example, a straightforward and accessible writing style, emphasis on visualization through the use of graphs to reinforce algebraic and numeric solutions and to interpret data, and comprehensive exercise sets. These pedagogical features are carefully coordinated to ensure that students are better able to make connections between mathematical concepts and understand the content. With a bright, appealing design, the new Fifth Edition builds on the Larson tradition of guided learning by incorporating a comprehensive range of student success materials to help develop students' proficiency and conceptual understanding of algebra. The text also continues coverage and integration of geometry in examples and exercises.

List Price = \$326.95  | CengageBrain Price = \$326.95  | College Bookstore Wholesale Price = \$246.00

### Student Supplements

#### Student Solutions Manual  (ISBN-10: 0547140118 | ISBN-13: 9780547140117)

Prepare for exams and succeed in your mathematics course with this comprehensive solutions manual! Featuring worked out-solutions to the problems in ELEMENTARY ALGEBRA, 5th Edition, this manual shows you how to approach and solve problems using the same step-by-step explanations found in your textbook examples.

List Price = \$84.95  | CengageBrain Price = \$84.95  | College Bookstore Wholesale Price = \$64.00

#### Enhanced WebAssign  (ISBN-10: 054714010X | ISBN-13: 9780547140100)

List Price = \$82.00  | College Bookstore Wholesale Price = \$61.50

#### Web Site  (ISBN-10: 054714007X | ISBN-13: 9780547140070)

List Price = \$.00  | College Bookstore Wholesale Price = \$.00

#### Enhanced WebAssign Instant Access for Developmental Math, Single-Term Courses  (ISBN-10: 1285857739 | ISBN-13: 9781285857732)

List Price = \$82.00  | CengageBrain Price = \$82.00  | College Bookstore Wholesale Price = \$82.00

#### Bundle: Text + Enhanced WebAssign Homework and eBook Access Card for One Term Math and Science  (ISBN-10: 1111019622 | ISBN-13: 9781111019624)

Larson IS student success. ELEMENTARY ALGEBRA owes its success to the hallmark features for which the Larson team is known: learning by example, a straightforward and accessible writing style, emphasis on visualization through the use of graphs to reinforce algebraic and numeric solutions and to interpret data, and comprehensive exercise sets. These pedagogical features are carefully coordinated to ensure that students are better able to make connections between mathematical concepts and understand the content. With a bright, appealing design, the new Fifth Edition builds on the Larson tradition of guided learning by incorporating a comprehensive range of student success materials to help develop students' proficiency and conceptual understanding of algebra. The text also continues coverage and integration of geometry in examples and exercises.

List Price = \$326.95  | CengageBrain Price = \$326.95  | College Bookstore Wholesale Price = \$246.00

## Meet the Author

### Ron Larson

Dr. Ron Larson is a professor of mathematics at The Pennsylvania State University, where he has taught since 1970. He received his Ph.D. in mathematics from the University of Colorado and is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson conducts numerous seminars and in-service workshops for math educators around the country about using computer technology as an instructional tool and motivational aid. He is the recipient of the 2014 William Holmes McGuffey Longevity Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS, the 2014 Text and Academic Authors Association TEXTY Award for PRECALCULUS, the 2012 William Holmes McGuffey Longevity Award for CALCULUS: AN APPLIED APPROACH, and the 1996 Text and Academic Authors Association TEXTY Award for INTERACTIVE CALCULUS (a complete text on CD-ROM that was the first mainstream college textbook to be offered on the Internet). Dr. Larson authors numerous textbooks including the best-selling Calculus series published by Cengage Learning.