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MathSubjectforHighSchool:Hereiswhereyourpresentationbegins9thGradeLinearequationsandinequalitiesYoucandescribethetopicofthesectionhereTableofcontentsOverviewAssignmentYoucandescribethetopicofthesectionhereFeaturesYoucandescribethetopicofthesectionhereThetopicYoucandescribethetopicofthesectionhere01020304IntroductionYoucangiveabriefdescriptionofthetopicyouwanttotalkabouthere.Forexample,ifyouwanttotalkaboutMercury,youcansaythatit’sthesmallestplanetintheentireSolarSystem—Someone
Famous“Thisisaquote,wordsfullofwisdomthatsomeoneimportantsaidandcanmakethereadergetinspired.”Awesomewords!Overview01YoucanenterasubtitlehereifyouneeditFeaturesofthetopicMercuryIt’stheclosestplanettotheSunandthesmallestintheSolarSystemVenusVenushasabeautifulnameandisthesecondplanetfromtheSunMarsDespitebeingred,Marsisactuallyacoldplace.It’sfullofironoxidedustApicturealwaysreinforcestheconceptImagesreveallargeamountsofdata,soremember:useanimageinsteadofalongtext.YouraudiencewillappreciatethatApictureisworthathousandwordsIstheinputvalueforwhichthestatementf(x)=g(x)istrue1.530kJupiteristhebiggestplanetofthemall40kVenusisthesecondplanetfromtheSun50kMarsisactuallyaverycoldplaceHerearesomeusefulexercisesExercisetopracticenextlevelmathsExercisetopracticenextlevelmathsExercisetopracticenextlevelmathsExercisetopracticenextlevelmathsExercisetopracticenextlevelmathsExercisetopracticenextlevelmathsCeresislocatedinthemainasteroidbeltProblemvssolutionIstheinputvaluethatproducesthesameoutputvalueforthetwofunctionsonthegraphX=-2Consideringtheequation3p-7+p=13,thisistheresultingequationafterthefirststepinthesolution4p-7=13DefinitionofconceptsVenusisthesecondplanetfromtheSunVenusJupiterIt’sthebiggestplanetintheSolarSystemMarsDespitebeingred,MarsisacoldplaceSaturnSaturnisagasgiantandhasseveralringsWhatisthistopicabout?JupiterisagasgiantandthebiggestplanetintheSolarSystem.It'sthefourth-brightestobjectinthenightsky.ItwasnamedaftertheRomangodoftheskiesandlightningSaturnIt’scomposedofhydrogenandheliumPracticalusesofthissubjectJupiterJupiteristhebiggestplanetofthemallNeptuneIt’sthefarthestplanetfromtheSunMultimediaclassesYoucanreplacetheimageonthescreenwithyourownwork.Justright-clickonitandselect“Replaceimage”InsertyourmultimediacontenthereVenusVenushasabeautifulnameandisthesecondplanetfromtheSunSomeimportanttipstoknowMercuryIt’stheclosestplanettotheSunandthesmallestintheSolarSystemMarsDespitebeingred,Marsisactuallyacoldplace.It’sfullofironoxidedustProcessMarsisactuallyaverycoldplaceMarsMercuryIt’stheclosestplanettotheSunVenusVenusisthesecondplanetfromtheSunOverviewdiagramIt’scomposedofhydrogenandheliumJupiterJupiteristhebiggestplanetofthemallIt’sthefarthestplanetfromtheSunMarsisactuallyaverycoldplaceIt’stheclosestplanettotheSunVenusisthesecondplanetfromtheSunEarthistheplacewhereweliveonEffectivenessofthismethodFollowthelinkinthegraphtomodifyitsdataandthenpastethenewonehere.
/slidesgo-school/presentation-tips/how-to-modify-a-graph-in-our-templates?utm_source=slidesgo_template&utm_medium=referral-link&utm_campaign=how-to-modify-a-graph-in-our-templates&utm_term=slidesgo-school&utm_content=how-to-modify-a-graph-in-our-templatesMethodBIt’scomposedofhydrogenandheliumMethodAIt’sthefarthestplanetfromtheSunExercise1SolvingLinearEquations:VariableonOneSideLindasolvedtheequation2(x--1/8)-3/5x=55/4.Inwhichstepdidsheusetheadditionpropertyofequality?Step1Step2Step3Step4AnswerExercise1SolvingLinearEquations:VariableonOneSideStep3Lindasolvedtheequation2(x--1/8)-3/5x=55/4.Inwhichstepdidsheusetheadditionpropertyofequality?Step1Step2Step3Step4Exercise2SolvingLinearEquations:VariablesonBothSidesWhichnumbercaneachtermoftheequationbemultipliedbytoeliminatethefractionsthefractionsbeforesolving?-3/4m-1/2=2+1/4mAnswerExercise2SolvingLinearEquations:VariablesonBothSidesWhichnumbercaneachtermoftheequationbemultipliedbytoeliminatethefractionsthefractionsbeforesolving?-3/4m-1/2=2+1/4m4Exercise3SolvingLinearEquations:DistributivePropertyHowmanysolutionsexistforthegivenequation?3(x-2)=22-xAnswerExercise3SolvingLinearEquations:DistributivePropertyHowmanysolutionsexistforthegivenequation?3(x-2)=22-xOneExercise4SolvingMixtureProblemsHowmanypoundsofKenyancoffeebeansthatcost$5.00perpoundmustbemixedwith8poundsofEthiopiancoffeebeansthatcosts$8.00perpoundtomakeablendthatcosts$6.00perpound?Createandfillinatableforthefollowingproblem,andidentifyanequationtosolve:AnswerExercise4SolvingMixtureProblemsEquationtosolve:6(a+8)=5a+64Totalcost($)=Price($/lb)?Amountofcoffee(lbs)Kenyan5a=5.00?aEthiopian64=8.00?8Blend6(a+8)*=6.00?a+8Exercise5SolvingRateProblemsAcross-countryskierleavesherhomeatnoon.Sheskisforanhourwiththewindatherback,andthendecidestoturnaroundandtakethesameroutehome.Nowthatsheisheadedintothewind,herspeedis2milesperhourslowergoinghomethanitwasinthefirsthour.Shearriveshomeat2:30AnswerIfd=distance,r=rate,andt=time,whichsystemofequationsbelowisthebestrepresentationofherjourney?Exercise5SolvingRateProblemsOutgoingtrip:d=r+2Incomingtrip:d=1.5rThefullequationfortheoutgoingtripcanbewrittend=(r+2)(1),wherer+2isherspeed,and1isthenumberofhoursittookhertotravelthatdistance.Thefullequationfortheincomingtripcanbewrittend=(r)(1.5),whererisherspeedand1.5referstotheamountoftimeherjourneytookExercise6SolvingLiteralEquationsSolveA=bhforbThisistheformulafortheareaAofarectanglewithbasebandheighth.Weneedtosolvethisformulaforthebaseb.Ifwehavetosolve3=2bforb,we'dhavedividedbothsidesby2inordertoisolatethevariableb.We'dendupwiththevariablebbeingequaltoafractionalnumberAnswerExercise6SolvingLiteralEquationsWewon'tbeabletogetasimplenumericalvalueforouranswer,butwecanproceedusingthesamestepforthesamereason.So,followingthesamereasoningforsolvingthisliteralequationaswewouldhaveforthesimilarone-variablelinearequation,wedividethroughbythe"h":A=bhA=bhhA=bhhhExercise7SolvingAbsoluteValueEquationsSolvetheabsolutevalueequation
|x|=-5AnswerExercise7SolvingAbsoluteValueEquationsTheabsolutevalueofanynumberiseitherpositiveorzero.Butthisequationsuggeststhatthereisanumberthatitsabsolutevalueisnegative.Canyouthinkofanynumbersthatcanmaketheequationtrue?Well,thereisnoneSincethere’snovalueofxthatcansatisfytheequation,wesaythatithasnosolutionExercise8SolvingOne-VariableInequalitiesWhichnumberlinerepresentsthesolutionsetfortheinequality2x-6≥6(x-2)+8?AnswerExercise8SolvingOne-VariableInequalitiesLine3Whichnumberlinerepresentsthesolutionsetfortheinequality2x-6≥6(x-2)+8?Exercise9IntroductiontoCompoundInequalitiesAnswerInordertoqualifyforaroleinaplay,anactormustbetallerthan64inchesbutshorterthan68inches.Theinequality64<x<68,wherexrepresentsheight,canbeusedtorepresenttheheightrange.Whichisanotherwayofwritingtheinequality?Exercise9IntroductiontoCompoundInequalitiesInordertoqualifyforaroleinaplay,anactormustbetallerthan64inchesbutshorterthan68inches.Theinequality64<x<68,wherexrepresentsheight,canbeusedtorepresenttheheightrange.Whichisanotherwayofwritingtheinequality?x>64andx<68AssignmentsNowitisyourturntopracticesomedifferentexercisesforeachcategory!MeetourcentersMarsisactuallyaverycoldplaceMarsMercuryIt’stheclosestplanettotheSunVenusVenusisthesecondplanetfromtheSunOurmultimediatoolsYoucanreplacetheimageonthescreenwithyourownwork.Justright-clickonitandselect“Replaceimage”O(jiān)urteachersAdamSmithYoucantalkabitaboutthispersonhereSusanDoeYoucantalkabitaboutthispersonhereTomBonesYoucantalkabitaboutthispersonhereThanksDoyouhaveanyquestions?youremail@+91620421838Iconpack:MathlinearAlternativeresourcesMathematicsSubjectforMiddleSchoolAlgebra6thGradeWhoa!Thiscanbethepartofthepresentationwhereyoucanintroduceyourself,writeyouremail…03010204TableofcontentsFractionsYoucandescribethetopicofthesectionhereAbsolutevalueYoucandescribethetopicofthesectionhereIntegersYoucandescribethetopicofthesectionhereResultYoucandescribethetopicofthesectionhereFractions01Youcanenterasubtitlehereifyouneedit—SomeoneFamous“Thisisaquote,wordsfullofwisdomthatsomeoneimportantsaidandcanmakethereadergetinspired”IntroductiontofractionsHereyoucangiveabriefdescriptionofthetopicyouwanttotalkabout.Forexample,ifyouwanttotalkaboutMercury,youcansaythatit’sthesmallestplanetintheentireSolarSystem36=12LeastcommonmultipleMercuryVenusVenushasabeautifulnameandisthesecondplanetfromtheSun.It’shotandhasapoisonousatmosphereMercuryistheclosestplanettotheSunandthesmallestoneintheSolarSystem—it’sonlyabitlargerthantheMoon264?824?Leastcommondenominator23+14MercuryMercuryistheclosestplanettotheSunandthesmallestoneintheSolarSystem—it’sonlyabitlargerthantheMoon36689121216Divisibilitypatterns2345678910ExampleVenushasabeautifulnameandisthesecondplanetfromtheSun.It’shotandhasapoisonousatmospherehereAwesomewords!IntroductiontoprimeandcompositenumbersPrimeCompositeVenushasabeautifulnameandisthesecondplanetfromtheSun.It’sterriblyhotMercuryistheclosestplanettotheSunandthesmallestoneintheSolarSystem23574689FactorsandGCFMercuryVenusVenushasabeautifulnameandisthesecondplanetMercuryistheclosestplanettotheSunandthesmallestoneTheQuiz!Despitebeingred,Marsisactuallyacoldplace2028112244571014202891219121824273636484560......3246????????......??Simplifyingfractions812=2344MercurySaturnSaturniscomposedmostlyofhydrogenandheliumMercuryistheclosestplanettotheSunandthesmallestoneMarsDespitebeingred,MarsisactuallyacoldplaceVenusVenushasabeautifulnameandisthesecondplanetEquivalentfractions12244?MercuryistheclosestplanettotheSunandthesmallestoneintheSolarSystemFractionsanddecimals0.010.160.350.430.981100351001610011009810043100MercuryistheclosestplanettotheSunandthesmallestoneintheSolarSystemComparingandorderingfractions42484048Doyouknowwhathelpsyoumakeyourpointclear?Listslikethisone:They’resimpleYoucanorganizeyourideasclearlyYou’llneverforgettobuymilk!Andthemostimportantthing:theaudiencewon’tmissthepointofyourpresentationEstimating&roundingfractions011/23878MercuryistheclosestplanettotheSunandthesmallestoneVenushasabeautifulnameandisthesecondplanetfromtheSunSaturn,theringedplanetiscomposedofhydrogenandheliumMercuryVenusSaturnAddandsubtractfractionslikedenominators111110101010111101010410+310=??VenushasabeautifulnameandisthesecondplanetfromtheSunVenusSaturn,theringedplanet,iscomposedofhydrogenandheliumSaturnAddingfractionswithunlikedenominators7-MercurySaturnSaturniscomposedmostlyofhydrogenandheliumMercuryistheclosestplanettotheSunandthesmallestoneMarsDespitebeingred,MarsisactuallyacoldplaceVenusVenushasabeautifulnameandisthesecondplanet558ApictureisworthathousandwordsSubtractfractionswithunlikedenominators5626-=3656712-=5x26x2712-VenushasabeautifulnameandisthesecondplanetfromtheSunMultiplyingfractionsMercuryVenusVenushasabeautifulnameandisthesecondplanetMercuryistheclosestplanettotheSunandthesmallestone56x3456x8==??DividingfractionsMercuryVenusVenushasabeautifulnameandisthesecondplanetMercuryistheclosestplanettotheSunandthesmallestoneMarsDespitebeingred,Marsisactuallyacoldplace4523÷=4534x4532x=12101210=151Absolutevalue02YoucanenterasubtitlehereifyouneeditUnderstandingabsolutevalueHereyoucangiveabriefdescriptionofthetopicyouwanttotalkabout.Forexample,ifyouwanttotalkaboutMercury,youcansaythatit’sthesmallestplanetintheentireSolarSystem012345678-8-7-6-5-4-3-2-1X+3=6ComparingabsolutevaluesMercuryIt’stheclosestplanettotheSunVenusVenushasabeautifulnameMarsDespitebeingred,It’sacoldplaceJupiterJupiteristhebiggestplanetSaturnSaturnisagasgiantandhasringsNeptuneNeptuneisthefarthestplanet-3<2-3>-2-3<34>1-4<-24>4ApicturealwaysreinforcestheconceptImagesreveallargeamountsofdata,soremember:useanimageinsteadofalongtextThisisagraphFollowthelinkinthegraphtomodifyitsdataandthenpastethenewonehere.Formor
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