Table Of Content

ELEMENTARY HaroldR.Jacobs . THISBOOK ISTHEPROPERTY OF: STATE PRHVINPF Enterinformation COUNTY inspaces PARISH totheleftas qrwnni nisTRir.T instructed OTHER , CONDITION Year ISSUEDTO Used ISSUED RETURNED PUPILStowhomthistextbookisissuedmustnotwriteonanypage ormarkanypartofitinanyway,consumabletextbooksexcepted. 1 Teachersshouldseethatthepupil'snameisclearlywrittenininkinthespacesabovein everybookissued. 2.Thefollowingtermsshouldbeusedinrecordingtheconditionofthebook:New;Good; Fair;Poor;Bad. Digitized by the Internet Archive in 2011 http://www.archive.org/details/elementaryalgebrOOjaco ELEMENTARY ALGEBRA An'theformoola algebra -invefnetleladnbaymae ELEMENTARY ALGEBRA HaroldR.Jacobs DB W.H.FREEMANANDCOMPANY NewYork ThecoverillustrationisaperiodicdrawingbyMaurits Escher.ReproducedwiththepermissionoftheEscherFoun- dation,HaagsGemeentemuseum, TheHague. LibraryofCongressCataloginginPublicationData Jacobs,HaroldR Elementaryalgebra. Includesindex. 1. Algebra. I. Title. QA152.2J33 512.9'042 78-10744 ISBN0-7167-1047-1 Copyright©1979byW.H.FreemanandCompany Nopartofthisbookmaybereproducedbyanymechanical, photographic,orelectronicprocess,orintheformof aphonographicrecording,normayitbestoredinaretrieval system,transmitted,orotherwisecopiedforpublicor privateuse,withoutthewrittenpermissionofthepublisher. PrintedintheUnitedStatesofAmerica 9987654321 Contents ALettertotheStudent x Introduction:ANumberTrick 1 FUNDAMENTAL OPERATIONS 5 1. Addition 6 2. Subtraction 12 3. Multiplication 17 4. Division 23 5. Raisingtoa Power 28 6. ZeroandOne 33 7. SeveralOperations 39 8. Parentheses 46 9. TheDistributiveRule 53 Summaryand Review 59 2 FUNCTIONS AND GRAPHS 65 &Lk^fr<3Z$> 1. An IntroductiontoFunctions 66 2. TheCoordinateGraph 73 3. Moreon Functions 78 4. DirectVariation 84 5. LinearFunctions 90 6. InverseVariation 96 Summaryand Review 103 THE INTEGERS 109 1. TheIntegers 110 2. MoreontheCoordinateGraph 115 3. Addition 121 4. Subtraction 125 5. Multiplication 130 6. Division 135 7. SeveralOperations 139 Summaryand Review 144 4 - ^Tt^^V THE RATIONAL NUMBERS 149 1. The Rational Numbers 150 2. AbsoluteValueandAddition 155 3. Moreon Operationswith Rational Numbers 161 4. Approximations 165 5. MoreonGraphingFunctions 170 Summaryand Review 176 &&&#» «*•*' 3o 5 EQUATIONS IN ONE VARIABLE 181 Equations 182 InverseOperations 186 EquivalentEquations 193 EquivalentExpressions 200 Moreon Solving Equations 206 LengthandArea 213 Distance,Rate,andTime 220 Rate Problems 225 Summaryand Review 231 K/w-«U'I* EQUATIONS IN TWO VARIABLES 239 1. Equations inTwoVariables 240 2. Formulas 245 3. Graphing LinearEquations 4. Intercepts 258 5. Slope 265 6. TShuemmSalropye-aInndterRceevpitewForm277;