Algebra-1-exercises

Chapter2ExercisesSolveeachequation.Checkyouranswer.1.2823x5.0252x54910x2.9-2x+x=-132x+0.3-x=3.342=4x-6x+63.x(4-1)+9=275(1-2x)+8x=158142x5(x+10)=452.3x-3.2+4.1=-638)2(2)1(4dd4.Lindaorganizedherbooksonto4shelves.Thetopshelfholds5books,thesecondshelfholds7,andthe2bottomshelvesholdthesamenumberofbooks.Lindahasatotalof24books.Howmanybooksdoeseachbottomshelfhold?5.AliceandCasey’stotalrestaurantbill,includingtip,was$34.Alice’sportionofthebillwastwiceasmuchasCasey’s,andtheyeachleftatipof$2.Howmuchdideachpersonpay?6.Marissaisbuyingashirtforeachofherbrothersandeachofher2sisters.Eachshirtcost$7.50,andshespendsatotalof$30.HowmanybrothersdoesMarissahave?7.Writeanequationtorepresenteachrelationship.Thensolve.a.Threeincreasedbyanumber,allmultipliedby6,equals36.b.Threetimesthesumofanumberand4,minusthenumber,isequalto18.c.One-halfofanumberaddedtotwicethedifferenceofthenumberand5equals0.Chapter2ExercisesSolveeachequation.Checkyouranswer.1.2x-1=x+118x+4=10+2x28-0.3y=0.7y-122.-2(x+3)=4x-3)1(52)4(531qq5-(x+3)=-1+2(x-3)3.6(x+7)-20=6x3x-10=2(4x-5)2(x+4)-5=2x+33.Ahouse-paintingcompanycharges$376plus$12perhour.Anotherpaintingcompanycharges$280plus$15perhour.a.Howlongisajobforwhichbothcompanieswillchargethesameamount?b.Whatwillthatcostbe?Chapter3ExercisesSolveeachinequalityandgraphthesolutions.Checkyouranswer.1.37+x20x-5614812x2.102x64x321x12x-144p34162343x3.Writeaninequalityforeachstatement.Solvetheinequalityandgraphthesolution.Checkyouranswer.a.Anumberxdecreasedby13isatmost15.b.Anumbernincreasedby6islessthanorequalto4c.Theproductofanumberand7isnotlessthan21.d.Thequotientofhand-6isatleast5.e.Theproductof54andbisatmost-16.f.Tenisnomorethanthequotientoftand4.4.Themaximumloadforacertainelevatoris2000pounds.Thetotalweightofthepassengersontheelevatoris1400pounds.Adeliverymanwhoweights243poundsenterstheelevatorwithacrateofweightx.write,solve,andgraphaninequalitytoshowthevaluesofxthatwillnotexceedtheweightlimitoftheelevator.5.TheropeRozbroughtwithhercampinggearis54incheslong.Rozneedstocutshorterpiecesofropethatareeach18incheslong.WhatarethepossiblenumberofpiecesRozcancut?6.Theareaofarectangleisatmost21squareinches.Thewidthoftherectangleis3.5inches.Whatarethepossiblemeasurementsforthelengthoftherectangle?Chapter3Exercises1.Solveeachinequalityandgraphthesolutions.434x10.2x-0.77323x4-3x+62284x-3(x+2)-1833-3x2.Writeaninequalityforeachstatement.Solvetheinequality.a.One-halfofanumber,increasedby9,islessthan33.b.Theproductof4andthesumofanumberand12isatmost16.c.Thesumofhalfanumberandtwo-thirdsofthenumberislessthan14.3.Asalesrepresentativeisgivenachoiceoftwopaycheckplans.Onechoiceincludesamonthlybasepayof$300plus1o%ofhissales.Thesecondchoiceisamonthlysalaryof$1200.Forwhatamountofsaleswouldtherepresentativemakemoremoneywiththefirstplan?4.Onecellphonecompanyoffersaplanthatcosts$29.99andincludesunlimitednightandweekendminutes.Anothercompanyoffersaplanthatcosts$19.99andcharges$0.35perminutesduringnightsandweekends.Forwhatnumbersofnightandweekendminutesdoesthesecondcompany’splancostmorethanthefirstcompany’splan?5.Theareaofthetriangleshownislessthan55squareinches.a.Writeaninequalitythatcanbeusedtofindx.b.Solvetheinequalityyouwroteinparta.c.Whatisthemaximumhightofthetrangle?(2x+3)in5in