E-Book Overview
Developed to prepare students in the combined elementary and intermediate algebra course for a college-level curriculum, Elementary and Intermediate Algebra owes its success to the hallmark features for which the Larson team is known: learning by example, accessible writing style, emphasis on visualization, 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. The new Student Support Edition continues the Larson tradition of guided learning by incorporating a comprehensive range of student success materials throughout the text. Additionally, instructors and students alike can track progress with HM Assess, a new online diagnostic assessment and remediation tool from Houghton Mifflin.
E-Book Content
Student Support Edition
Elementary and Intermediate Algebra: A Combined Course F O U R T H
E D I T I O N
Ron Larson The Pennsylvania State University The Behrend College
Robert Hostetler The Pennsylvania State University The Behrend College With the assistance of
Patrick M. Kelly Mercyhurst College
Houghton Mifflin Company Boston New York
Publisher: Richard Stratton Sponsoring Editor: Cathy Cantin Development Manager: Maureen Ross Development Editor: Yen Tieu Editorial Associate: Jeannine Lawless Supervising Editor: Karen Carter Senior Project Editor: Patty Bergin Editorial Assistant: Jill Clark Art and Design Manager: Gary Crespo Executive Marketing Manager: Brenda Bravener-Greville Senior Marketing Manager: Katherine Greig Marketing Assistant: Naveen Hariprasad Director of Manufacturing: Priscilla Manchester Cover Design Manager: Anne S. Katzeff
Cover art © by Dale Chihuly
We have included examples and exercises that use real-life data as well as technology output from a variety of software. This would not have been possible without the help of many people and organizations. Our wholehearted thanks go to them for all their time and effort.
Trademark acknowledgment: TI is a registered trademark of Texas Instruments, Inc.
Copyright © 2008 by Houghton Mifflin Company. All rights reserved. This book was originally published in slightly different form as ELEMENTARY AND INTERMEDIATE ALGEBRA, FOURTH EDITION ©2005 by Houghton Mifflin Company. No part of this work may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying and recording, or by any information storage or retrieval system, without the prior written permission of Houghton Mifflin Company unless such copying is expressly permitted by federal copyright law. Address inquiries to College Permissions, Houghton Mifflin Company, 222 Berkeley Street, Boston, MA 02116-3764. Printed in the U.S.A. Library of Congress Catalog Card Number: 2006929488 Instructor’s Exam copy: ISBN 13: 978-0-618-75477-9 ISBN 10: 0-618-75477-6 For orders, use Student text ISBNs: ISBN 13: 978-0-618-75354-3 ISBN 10: 0-618-75354-0 123456789–DOW– 09 08 07 06
Contents Your Guide to Academic Success Your Guide to the Chapters
S1
S18
Your Guide to Your Book
S44
A Word from the Authors
S49
Motivating the Chapter
1
1 The Real Number System 1 1.1 1.2 1.3 1.4
Real Numbers: Order and Absolute Value 2 Adding and Subtracting Integers 12 Multiplying and Dividing Integers 20 Mid-Chapter Quiz 33 Operations with Rational Numbers 34 Motivating the Chapter
1.5
Exponents, Order of Operations, and Properties of Real Numbers 48
What Did You Learn? (Chapter Summary) 60 Review Exercises 61 Chapter Test 65
66
2 Fundamentals of Algebra 67 2.1 2.2 2.3
Writing and Evaluating Algebraic Expressions