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MATHSUBJECTFORHIGHSCHOOL
SystemsofEquationsandInequalitiesHereiswhereyourpresentationbegins9thGradeOVERVIEW01YoucandescribethetopicofthesectionhereFEATURESYoucandescribethetopicofthesectionhereASSIGNMENT03YoucandescribethetopicofthesectionhereABOUTTHETOPIC04Youcandescribethetopicofthesectionhere02TABLEOFCONTENTSOVERVIEW01YoucandescribethetopicofthesectionhereINTRODUCTIONYoucangiveabriefdescriptionofthetopicyouwanttotalkabouthere.Forexample,ifyouwanttotalkaboutMercury,youcansaythatit’sthesmallestplanetintheentireSolarSystem—SOMEONEFAMOUS“Thisisaquote,wordsfullofwisdomthatsomeoneimportantsaidandcanmakethereadergetinspired.”APICTUREISWORTHATHOUSANDWORDSMercuryistheclosestplanettotheSunandthesmallestoneintheSolarSystem—it’sonlyabitlargerthantheMoonSYSTEMSOFLINEAREQUATIONSDespitebeingred,MarsisacoldplaceDEFINITIONOFCONCEPTSVENUSVenusisthesecondplanetfromtheSunJUPITERIt’sthebiggestplanetintheSolarSystemMARSSATURNSaturnisagasgiantandhasseveralringsLET'SMAKEEQUATIONS!6-5x+2x=8-4xFirstdegreeequationsFEATURES02YoucandescribethetopicofthesectionhereMAYBEYOUNEEDSIXCOLUMNSSATURNIt’sagasgiantandhasseveralringsMERCURYIt’stheclosestplanettotheSunJUPITERIt’sthebiggestplanetofthemallMARSMarsisactuallyaverycoldplaceVENUSVenusisthesecondplanetfromtheSunNEPTUNEIt’sthefarthestplanetfromtheSunDIFFERENTIALEQUATIONSEQUATIONSOLUTIONY=2xY=xY+3y=6x+11y=e+2x+3Y-3y+2y=24ey=3e-4e+2eSUBSTITUTIONMETHOD4+x=2yThesubstitutionmethodconsistsofisolatingoneofthetwounknownsinoneequationtoreplaceitintheotherequation.EXAMPLE:2x-y=1{SOLUTIONSUBSTITUTIONMETHODWeisolateanunknownWesubstitutetheunknownintheotherequation4+x=2y1x=2y-42x-y=122·(2y-4)-y=14y-8-y=1SUBSTITUTIONMETHODWesolvetheequationobtainedWecalculatetheotherunknownbysubstituting4y-8-y=13y-8=1X=2y-4x=2y-4X=2·3-43y=9y=9/3=3X=6-4=234x=2y=3{SOLUTIONVENUSVenusisthesecondplanetfromtheSunMARSDespitebeingred,Marsisacoldplace3IMPORTANTPOINTSOFMATHEMATICSSATURNSaturnisagasgiantandhasseveralringsax+b=0Equationofthefirstdegreeorlinear(wherebisaconstant)ax2+bx+c=0Quadraticorquadraticequations(wherecisaconstant)ax3+bx2+cx+d=0Thirddegreeequations(wheredisaconstant)ASSIGNMENT03YoucandescribethetopicofthesectionhereTHISISAMAPVENUSVenusisthesecondplanetfromtheSunMERCURYIt’sthebiggestplanetintheSolarSystemMARSDespitebeingred,MarsisacoldplaceLET'SPRACTICEMercuryistheclosestplanettotheSunandthesmallestoneintheSolarSystem—it’sonlyabitlargerthantheMoonSTEPSFORMATHSTEP01STEP02STEP03STEP04Despitebeingred,MarsisacoldplaceVenusisthesecondplanetfromtheSunIt’sthebiggestplanetintheSolarSystemSaturnisagasgiantandhasseveralringsMATHGRAPHFollowthelinkinthegraphtomodifyitsdataandthenpastethenewonehere.Formoreinfo,clickhereVenusisthesecondplanetfromtheSunDespitebeingred,Marsisacoldplace45%55%VENUSMARSMATHDIAGRAMIt’sthebiggestplanetofthemallJUPITERIt’sagasgiantandhasseveralringsMARSDespitebeingred,MarsisacoldplaceVENUSVenusisthesecondplanetfromtheSunSATURNMERCURYVENUSMercuryistheclosestplanettotheSunandthesmallestoneintheSolarSystem—it’sonlyabitlargerthantheMoonVenushasabeautifulnameandisthesecondplanetfromtheSun.It’shotandhasapoisonousatmosphereTWOCOLUMNSMATHEMATICALPERCENTAGESIt’stheclosestplanettotheSunandthesmallestintheSolarSystemMARSDespitebeingred,MarsisacoldplaceVENUSVenusisthesecondplanetfromtheSun50%75%SATURNIt’sagasgiantandhasseveralrings25%DIDYOUKNOWTHIS?MercuryistheclosestplanettotheSunandthesmallestoneintheSolarSystem—it’sonlyabitlargerthantheMoonCHECKLISTIt’stheclosestplanettotheSunandthesmallestintheSolarSystemMODELINGWITHSYSTEMSOFLINEAREQUATIONSIt’stheclosestplanettotheSunGRAPHINGTWO-VARIABLELINEARINEQUALITIESMarsisactuallyaverycoldplaceMODELINGWITHTWO-VARIABLELINEARINEQUALITIESIt’scomposedofhydrogenandheliumGRAPHICMATHMARSDespitebeingred,MarsisacoldplaceVENUSVenusisthesecondplanetfromtheSunFollowthelinkinthegraphtomodifyitsdataandthenpastethenewonehere.Formoreinfo,clickhereMOBILESCREENSHOTYoucanreplacetheimageonthescreenwithyourownwork.Justright-clickonitandselect“Replaceimage”DESKTOPSCREENSHOTYoucanreplacetheimageonthescreenwithyourownwork.Justright-clickonitandselect“Replaceimage”TABLETSCREENSHOTYoucanreplacetheimageonthescreenwithyourownwork.Justright-clickonitandselect“Replaceimage”THANKS!Doyouhaveanyquestions?youremail@+91620421838ICONPACK:MATH|LINEARCOLORALTERNATIVERESOURCESMathematicsSubjectforMiddleSchoolAlgebra6thGradeWhoa!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.Formoreinfo,clickhereVenusVenushasabeautifulnameandisthesecondplanetMarsDespitebeingred,Marsisactuallyacoldplace34Integers03YoucanenterasubtitlehereifyouneeditIntegersintherealworldNegativePositiveTemperatureBelow0degreesAbove0degreesSeaLevelBelowsealevelAbovesealevelDistanceBackwardForwardProfitLossGainDirection
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