美国初中数学习题6.doc

美国初中数学习题6.doc

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1、Unit6–EquationsandInequalities(textbookChpt.6)SolveMulti-StepEquationswithVariablesonBothSides-pictoriallyandsymbolically(paperandpencil)Solvetheequations.Showallappropriatesteps.a)3x+9=6b)2+3x=-4c)2x–3x+5x+6=-18d)3(2x+5)+2(x+6)=51e)4(g+5)=5(g–3)f)6+4(3x+1)=2(4x–3)+32g)12–(x+4)=5–(-2x

2、–6)Modelquestionsa),b),andc)abovewithalgebratilesandmanipulatethetilestoisolateandsolveforthevariable.EliminateDenominatorsfromanEquationtoSimplifySolvingSolvetheequationsbelow.Starteachquestionbymultiplyingallpartsoftheequationbyacommondenominatorinordertoeliminatethedenominators.a)b

3、)c)VerifySolutionstoEquationsareCorrectorIncorrectForanyoftheequationsintheabovesectionsyoucansubstituteinyoursolutionandseeiftheLeftSideoftheequationequalstheRightSideoftheequation.SolveInequations;IdentifyandGraphtheSolutionsSolvetheinequationsandthengraphthesolutionsonanumberline.a

4、)4m–3>21b)15≤5+5wc)5x–2+3x<2x+6+10d)4y–8y≥5y–y+36VerifySolutionstoInequationsareCorrectorIncorrectForanyoftheinequationsintheabovesectionsyoucansubstituteinavaluefromthesolutionandseeiftheinequationstaystrue.UseEquationsforProblemSolvingSituationsFortheproblemsbelow,chooseavariableand

5、writeaninequalitythatrepresentsthesituation.Solvetheproblemandgraphitonanumberline.a)JohnwasworkingtomakemoneyforhissummertriptoMathWorld(muchlikeDisneyWorldonlymorefun!!)Heplannedtotakeatleast$490spendingcash.IfJohn’sjobpaid$9.80anhour,howmanyhourswouldheneedtoworkinordertohavethespe

6、ndingcashhehopedfor.b)Acharityeventwasheldandtheorganizationwashopingtomakeover$2000fromdonationsandpaymentfrompeopleattending.Ifthecompanyexpected$500indonations,howmanypeopleneedtoattendforthemtoreachtheirgoalifthecosttoattendis$3.25?AdditionalReview/Practicecanbefoundinthetextbooko

7、nthefollowingpages…StudyGuide–pg.307ExtraPractice-pg.286;pg.308-309

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