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1、THETOP30THINGSYOUNEEDTOKNOWFORTOPSCORESINMATHLEVEL21.FRACTIONSMakesureyouknowhowtosimplifyfractionsbecauseanswersaregener-allypresentedinsimplestform.Beabletofindtheleastcommondenomina-toroftwoormorefractions.Knowhowtomultiplyanddividefractionsaswellasusemixednumbersandimproperfractions.Becomf
2、ortablesolvingfractionproblemsthatinvolvevariables.SeeChapter4,pp.41–45.2.PERCENTAGESBeabletoconvertbetweenpercents,decimals,andfractions.Beabletorec-ognizethemeaningofterminologyusedinpercentageproblemsinordertosolveforanunknown.SeeChapter4,pp.46–47.3.EXPONENTSFamiliarizeyourselfwiththeexpone
3、ntialnotationandknowhowtoapplytherulesofexponents,particularlytosimplifyanexpressioncontainingmul-tipleexponents.Avoidcommonmistakeswithexponents,suchasincorrectlyaddressingnegativeexponentsormultiplyingexponentswhentheyshouldbeadded.Beawareofrationalexponentsaswellasvariablesinexponents.SeeCh
4、apter4,pp.47–51.4.REALNUMBERSBeabletorelatethedifferenttypesofrealnumbers,andwhichgroupsaresubsetsofothergroups.Knowthepropertiesofrealnumbers,includingthepropertiesofadditionandmultiplication.Beabletoapplythedistributiveproperty.Reviewabsolutevaluetoknow:•whatitmeans•howitisrepresentedinsymbo
5、licform•howtosolveproblemsinvolvingabsolutevalueSeeChapter4,pp.52–55.5.RADICALSKnowhowtofindrootsofrealnumbers.Beawarethatsomeproblemshavetwosolutions.Knowhowto:•identifytheprincipalsquareroot•usetheproductandquotientpropertiesofradicals•determinethesimplestradicalform•rationalizeadenominatorc
6、ontainingaradicalforbothsquarerootsandcuberoots•useaconjugate,especiallywhenthedenominatorcontainsabinomialradicalexpressionSeeChapter4,pp.57–60.6.POLYNOMIALSKnowhowtoadd,subtract,multiply,andfactorpolynomials.Befamil-iarwiththeproductsofspecialpolynomials,suchas(a+b)2,(a–b)2,and(a+b)(a–b).Bea
7、bletorecognizeperfectsquaretrinomialsandthedif-ferenceofperfectsquares.SeeChapter4,pp.60–64.7.QUADRATICEQUATIONSKnowthemeaningofeachtermintheQuadraticFormula.Beableto:•choosetheanswerthatliststherootsofthequadraticequation•determinethen
