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Elementary and Intermediate Algebra: Algebra Within Reach, 6th Edition

Ron Larson

  • Copyright 2014
  • {{checkPublicationMessage('Published', '2013-01-01T00:00:00+0000')}}
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Elementary and Intermediate Algebra: Algebra Within Reach 6th Edition by Ron Larson
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Overview

Larson IS student success. ELEMENTARY AND INTERMEDIATE 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.

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Meet the Authors

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Ron Larson

Dr. Ron Larson is a professor of mathematics at the Pennsylvania State University, where he has taught since 1970. He is considered the pioneer of using multimedia to enhance the learning of mathematics, having authored more than 30 software titles since 1990. Dr. Larson has also authored numerous acclaimed textbooks, including the best-selling calculus series coauthored with Dr. Bruce Edwards and published by Cengage. Dr. Larson received the 2017 William Holmes McGuffey Longevity Award for PRECALCULUS and for CALCULUS. He also received the 2018 Text and Academic Authors Association TEXTY Award for CALCULUS: EARLY TRANSCENDENTAL FUNCTIONS. In addition, Dr. Larson received 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.

What's New

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  • 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.

Features

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  • 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.
  • 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.

Table of Contents

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1. THE REAL NUMBER SYSTEM.
Real Numbers: Order and Absolute Value. Adding and Subtracting Integers. Multiplying and Dividing Integers. Mid-Chapter Quiz. Study Skills in Action. Operations with Rational Numbers. Exponents, Order of Operations, 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. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING.
Solving Linear Equations. Equations That Reduce to Linear Form. Problem Solving with Percents. Ratios and Proportions. Mid-Chapter Quiz. Study Skills in Action. Geometric and Scientific Applications. Linear Inequalities. Absolute Value Equations and Inequalities. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 1-3.
4. GRAPHS AND FUNCTIONS.
Ordered Pairs and Graphs. Graphs of Equations in Two Variables. Relations, Functions, and Graphs. Mid-Chapter Quiz. Study Skills in Action. Slope and Graphs of Linear Equations. Equations of Lines. Graphs of Linear Inequalities. Chapter Summary. Review Exercises. Chapter Test.
5. EXPONENTS AND POLYNOMIALS.
Integer Exponents and Scientific Notation. Adding and Subtracting Polynomials. Mid-Chapter Quiz. Study Skills in Action. Multiplying Polynomials: Special Products. Dividing Polynomials and Synthetic Division. 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 Polynomial Equations by Factoring. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 4-6.
7. RATIONAL EXPRESSIONS, EQUATIONS, AND FUNCTIONS.
Rational Expressions and Functions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions. Mid-Chapter Quiz. Study Skills in Action. Complex Fractions. Solving Rational Equations. Applications and Variation. Chapter Summary. Review Exercises. Chapter Test.
8. SYSTEMS OF EQUATIONS AND INEQUALITIES.
Solving Systems of Equations by Graphing and Substitution. Solving Systems of Equations by Elimination. Linear Systems in Three Variables. Mid-Chapter Quiz. Study Skills in Action. Matrices and Linear Systems. Determinants and Linear Systems. Systems of Linear Inequalities. Chapter Summary. Review Exercises. Chapter Test.
9. RADICALS AND COMPLEX NUMBERS.
Radicals and Rational Exponents. Simplifying Radical Expressions. Adding and Subtracting Radical Expressions. Mid-Chapter Quiz. Study Skills in Action. Multiplying and Dividing Radical Expressions. Radical Equations and Applications. Complex Numbers. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 7-9.
10. QUADRATIC EQUATIONS, FUNCTIONS, AND INEQUALITIES.
Solving Quadratic Equations: Factoring and Special Forms. Completing the Square. The Quadratic Formula. Mid-Chapter Quiz. Study Skills in Action. Graphs of Quadratic Functions. Applications of Quadratic Equations. Quadratic and Rational Inequalities. Chapter Summary. Review Exercises. Chapter Test.
11. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions. Composite and Inverse Functions. Logarithmic Functions. Mid-Chapter Quiz. Study Skills in Action. Properties of Logarithms. Solving Exponential and Logarithmic Equations. Applications. Chapter Summary. Review Exercises. Chapter Test.
12. CONICS.
Circles and Parabolas. Ellipses. Mid-Chapter Quiz. Study Skills in Action. Hyperbolas. Solving Nonlinear Systems of Equations. Chapter Summary. Review Exercises. Chapter Test. Cumulative Test: Chapters 10-12.
13. SEQUENCES, SERIES, AND THE BINOMIAL THEOREM.
Sequences and Series. Arithmetic Sequences. Mid-Chapter Quiz. Study Skills in Action. Geometric Sequences and Series. The Binomial Theorem. Chapter Summary. Review Exercises. Chapter Test.

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Each WebAssign online product offers the full textbook combined with a flexible and fully customizable online instructional assignments and tools.

Cengage provides a seamless user experience for Learning Management Systems (LMS) integration. Please contact your Cengage Learning Consultant for ordering information and visit our Learning Management System Integration web page on WebAssign for general information.

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  • ISBN-10: 1337767514
  • ISBN-13: 9781337767514
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  • ISBN-10: 0495384798
  • ISBN-13: 9780495384793
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  • ISBN-10: 0357686519
  • ISBN-13: 9780357686515
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  • ISBN-10: 128507467X
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Supplements

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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

WebAssign - Start Smart Guide for Students

ISBN: 9780495384793
This guide helps students navigate Enhanced WebAssign. It includes instructions on how to use the Assignment page and its Summary, tips on using MathPad for providing easy input of math notation and symbols, an overview of the Graphing Utility's drawing tools for completing graphing assignments, and information on how to access grades and scores summary.

FOR STUDENTS

WebAssign - Start Smart Guide for Students

ISBN: 9780495384793
This guide helps students navigate Enhanced WebAssign. It includes instructions on how to use the Assignment page and its Summary, tips on using MathPad for providing easy input of math notation and symbols, an overview of the Graphing Utility's drawing tools for completing graphing assignments, and information on how to access grades and scores summary.

WebAssign Instant Access for Larson's Elementary and Intermediate Algebra: Algebra Within Reach, Single-Term

ISBN: 9781337767514
WebAssign for Elementary and Intermediate Algebra: Algebra Within Reach is a flexible and fully customizable online instructional solution that puts powerful tools in the hands of instructors, enabling you to deploy assignments, instantly assess individual student and class performance and help your students master the course concepts. Enrich the teaching and learning experience with the superior content within the powerful digital platform of WebAssign. Tailor your course with a wide range of assignment settings, the ability to add your own questions and content, analytics at the individual and course level and student/teacher communication tools.