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## Overview

Larson IS student success. ELEMENTARY ALGEBRA: ALGEBRA WITHIN REACH 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 Sixth 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.

- As opposed to all exercises appearing at the end of each section, relevant exercises now appear at the bottom of the same page as the corresponding examples, allowing students to practice each concept immediately after it is presented. Additional exercises still appear at the end of the section, allowing for further practice.
- End-of-section exercises include a Concept Summary at the top of the page, providing an additional example and highlighting a key idea of the section by showing the what, the how, and the why.
- A Concept Summary Check appears at the end of each Concept Summary providing exercises that ask students to critically think about the concept presented, further reinforcing the key ideas of the section.
- The examples and exercises have been updated for currency and to incorporate reviewer feedback.
- Study Skills in Action now appear in a two-page spread, along with the Mid-Chapter Quiz.
- A Chapter Summary appears at the end of each chapter and is now in an easily accessible grid format. The Summary highlights an objective, offers an explanation and/or example of the idea, and provides reference to specific Review Exercises for practice.
- Up-to-the-minute homework support through AlgebraWithinReach.com, an independent website, provides students with solutions to selected odd-numbered problems in the text in English and Spanish as well as tutorial videos.
- The Sixth Edition now includes ExamView for creating, delivering, and customizing tests (both print and online) in minutes.

- 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.
- Emphasis on learning objectives and outcomes--Every section begins with a list of learning objectives to show what will be covered in each section.
- 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--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 Manual; 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.
- Emphasis on study skills and self-responsibility--Each chapter presents a study skill essential to success in mathematics called Study Skills in Action, followed by a Smart Study Strategy that offers concrete ways that students can help themselves with the skill. These Study Skills were written by noted study skills expert, Kimberly Nolting.

Real Numbers. Adding and Subtracting Integers. Multiplying and Dividing Integers. Mid-Chapter Quiz. Study Skills in Action. Operations with Rational Numbers. Exponents and Properties of Real Numbers. Chapter Summary. Review Exercises. Chapter Test.

2. FUNDAMENTALS OF ALGEBRA.

Writing and Evaluating Algebraic Expressions. Simplifying Algebraic Expressions. Mid-Chapter Quiz. Study Skills in Action. Algebra and Problem Solving. Introduction to Equations. Chapter Summary. Review Exercises. Chapter Test.

3. LINEAR EQUATIONS AND PROBLEM SOLVING.

Solving Linear Equations. Equations That Reduce to Linear Form. Problem Solving with Percents. Mid-Chapter Quiz. Study Skills in Action. Ratios and Proportions. Geometric and Scientific Applications. Linear Inequalities. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 1-3.

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. Study Skills in Action. Equations of Lines. Graphs of Linear Inequalities. Chapter Summary. Review Exercises. Chapter Test.

5. EXPONENTS AND POLYNOMIALS.

Negative Exponents and Scientific Notation. Adding and Subtracting Polynomials. Mid-Chapter Quiz. Study Skills in Action. Multiplying Polynomials: Special Products. Dividing Polynomials. Chapter Summary. Review Exercises. Chapter Test.

6. FACTORING AND SOLVING EQUATIONS.

Factoring Polynomials with Common Factors. Factoring Trinomials. More About Factoring Trinomials. Mid-Chapter Quiz. Study Skills in Action. Factoring Polynomials with Special Forms. Solving Quadratic Equations by Factoring. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 4-6.

7. RATIONAL EXPRESSIONS AND EQUATIONS.

Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Mid-Chapter Quiz. Study Skills in Action. Complex Fractions. Rational Equations and Applications. Chapter Summary. Review Exercises. Chapter Test.

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. Study Skills in Action. Applications of Systems of Linear Equations. Systems of Linear Inequalities. Chapter Summary. Review Exercises. Chapter Test.

9. RADICAL EXPRESSIONS AND EQUATIONS.

Roots and Radicals. Simplifying Radicals. Mid-Chapter Quiz. Study Skills in Action. Operations with Radical Expressions. Radical Equations and Applications. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 7-9.

10. QUADRATIC EQUATIONS AND FUNCTIONS.

Solving by the Square Root Property. Solving by Completing the Square. Solving by the Quadratic Formula. Mid-Chapter Quiz. Study Skills in Action. Graphing Quadratic Equations. Applications of Quadratic Equations. Complex Numbers. Relations, Functions, and Graphs. Chapter Summary. Review Exercises. Chapter Test.

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.

### FOR INSTRUCTORS

#### Complete Solutions Manual

ISBN: 9781285160061

The Complete Solutions Manual provides worked-out solutions to all of the problems in the text.

#### Elementary Algebra: Algebra Within Reach, 6th: PowerLecture CD-ROM with ExamView Test Generator

ISBN: 9781285419824

This DVD provides you 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 included on this DVD.

#### Enhanced WebAssign

ISBN: 9781285160115

#### Student Solutions Manual

ISBN: 9781285419749

This guide includes detailed, step by step solutions to all odd-numbered exercises in the section exercise sets and in the review exercises. It also includes detailed step by step solutions to all Mid-Chapter Quiz, Chapter Test, and Cumulative Test questions.

#### Student Workbook

ISBN: 9781285419756

New! The Student Workbook, which contains all of the Assessments, Activities, and Worksheets from the Instructor's Resource Binder, is used for classroom discussions, in-class activities, and group work.

### FOR STUDENTS

#### Enhanced WebAssign

ISBN: 9781285160115

#### Student Solutions Manual

ISBN: 9781285419749

This guide includes detailed, step by step solutions to all odd-numbered exercises in the section exercise sets and in the review exercises. It also includes detailed step by step solutions to all Mid-Chapter Quiz, Chapter Test, and Cumulative Test questions.

#### Student Workbook

ISBN: 9781285419756

Get a head-start! The Student Workbook, which contains all of the Assessments, Activities, and Worksheets from the Instructor's Resource Binder. Use it for classroom discussions, in-class activities, and group work.