Cliff Notes - StudySolver Algebra I

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CliffsStudySolver™
Algebra I
By Mary Jane Sterling
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CliffsStudySolver™
Algebra I
By Mary Jane Sterling
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Published by:
Wiley Publishing, Inc.
909 Third Avenue
New York, NY 10022
www.wiley.com
Copyright © 2003 Wiley Publishing, Inc. New York, New York
Published by Wiley Publishing, Inc., New York, NY
Published simultaneously in Canada
Library of Congress Control Number available from the Library of Congress
ISBN: 0-7645-3763-6
Printed in the United States of America
10 9 8 7 6 5 4 3 2 1
1B/RS/QW/QT/IN
No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or
by any means, electronic, mechanical, photocopying, recording, scanning, or otherwise, except as permit-
ted under Sections 107 or 108 of the 1976 United States Copyright Act, without either the prior written
permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the
Copyright Clearance Center, 222 Rosewood Drive, Danvers, MA 01923, 978-750-8400, fax 978-646-8700.
Requests to the Publisher for permission should be addressed to the Legal Department, Wiley Publishing,
Inc., 10475 Crosspoint Blvd., Indianapolis, IN 46256, 317-572-3447, fax 317-572-4447, or e-mail
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Publisher’s Acknowledgments
Editorial
Project Editor: Kelly D. Dobbs
Acquisitions Editor: Greg Tubach
Technical Editor: Anthony Bedenikovic
Editorial Assistant: April Yoder
Composition
Indexer: Tom Dinse
Proofreader: Vicki Broyles
Wiley Publishing Inc. Composition Services
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Table of Contents
Introduction xi
Types of Numbers xi
Notation xii
Pretest 1
Pretest Questions 1
Key to Pretest Questions 22
Chapter 1: The Basics 31
Order of Operations 31
Basic Order of Operations 31
Grouping Symbols 32
Basic Math Operations 35
Addition and Subtraction 35
Multiplication and Division 35
Powers (Exponents) 36
Roots 36
Absolute Value 37
Combining “Like” Terms 38
Properties of Algebraic Expressions 41
Commutative Property of Addition and Multiplication 41
Associative Property of Addition and Multiplication 41
Distributive Property of Multiplication over Addition (or Subtraction) 41
Identities 42
Inverses 42
Multiplication Property of Zero 42
Integer Powers (Exponents) 44
Laws for Using Exponents 44
Square Roots and Cube Roots 48
Approximating Square Roots 50
Simplifying Square Roots 52
Rationalizing Fractions 54
Exponents for Roots 56
Divisibility Rules 58
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Prime Numbers 61
Prime Factorization 63
Chapter Problems and Solutions 67
Problems 67
Answers and Solutions 68
Supplemental Chapter Problems 70
Problems 70
Answers 71
Chapter 2: Numbers 73
Signed Numbers 73
Number Lines 73
Addition of Signed Numbers 75
Subtraction of Signed Numbers 78
Multiplication and Division of Signed Numbers 80
Exponents That Are Signed Numbers 82
Fractions 86
Lowest Terms and Equivalent Fractions 86
Multiplying and Dividing Fractions 89
Mixed Numbers and Complex Fractions 91
Decimals 94
Percents 97
Scientific Notation 99
Chapter Problems and Solutions 102
Problems 102
Answers and Solutions 103
Supplemental Chapter Problems 104
Problems 104
Answers 106
Chapter 3: Linear Equations and Algebraic Fractions 107
Solving Linear Equations 107
Solving Linear Equations with More Than One Operation 111
Solving Linear Formulas 116
Ratios and Proportions 120
Operations with Algebraic Fractions 125
Multiplying and Dividing Algebraic Fractions 125
Adding and Subtracting Algebraic Fractions 128
Equations with Fractions 131
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Chapter Problems and Solutions 135
Problems 135
Answers and Solutions 136
Supplemental Chapter Problems 141
Problems 141
Answers 142
Chapter 4: Polynomials and Factoring 145
Multiplying Monomials 145
Multiplying Polynomials 148
The “FOIL” Method 148
Other Products 149
Special Products 151
Dividing Polynomials 156
Divisors with One Term 156
Long Division 157
Synthetic Division 160
Factoring 162
Greatest Common Factor 163
Factoring Binomials 165
Factoring Trinomials 168
Factoring Other Polynomials 172
Chapter Problems and Solutions 177
Problems 177
Answers and Solutions 178
Supplemental Chapter Problems 180
Problems 180
Answers 181
Chapter 5: Inequalities, Absolute Value Inequalities, and Radicals 182
Inequalities 183
Rules for Operating on Inequalities 183
Solving Inequalities by Graphing on a Number Line 189
Absolute Value Equations 192
Absolute Value Inequalities 199
Simplifying Square Roots 203
Simplifying Other Roots 206
Radical Equations 208
Table of Contents vii
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Chapter Problems and Solutions 214
Problems 214
Answers and Solutions 215
Supplemental Chapter Problems 218
Problems 218
Answers 219
Chapter 6: Introducing Quadratic Equations—Testing Solutions 221
Solving Quadratic Equations by Factoring 224
Solving Quadratic Equations with the Quadratic Formula 228
Solving Quadratic Equations by Completing the Square 231
Solving Quadratic-Like Equations 237
Quadratic and Other Inequalities 241
Radical Equations with Quadratics 245
Chapter Problems and Solutions 249
Problems 249
Answers and Solutions 250
Supplemental Chapter Problems 255
Problems 255
Answers 256
Chapter 7: Graphing and Systems of Equations 259
Coordinate System 259
Graphing Points and Quadrants 260
Graphing Lines 263
Graphing Other Curves 273
Finding the Equation of a Line 283
Graphing Inequalities 286
Systems of Equations—Linear and Quadratic 290
Solving Systems of Equations by Graphing 290
Solving Systems of Equations Using Addition 295
Chapter Problems and Solutions 298
Problems 298
Answers and Solutions 300
Supplemental Chapter Problems 306
Problems 306
Answers 307
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摘要：

CliffsStudySolver™AlgebraIByMaryJaneSterling01537636FM.qxd5/27/038:12AMPagei01537636FM.qxd5/27/038:12AMPageivCliffsStudySolver™AlgebraIByMaryJaneSterling01537636FM.qxd5/27/038:12AMPageiPublishedby:WileyPublishing,Inc.909ThirdAvenueNewYork,NY10022www.wiley.comCopyright©2003WileyPublishing,Inc.NewYork...

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