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1、美国高考ACT数学题(1) 关于ACT数学同学们应该定期进行模拟练习,全面的考题使学生了解所有的题型分布,大量的练习为学生不断提高解题技巧和速度提供了保障。下面我们来看一下美国高考ACT数学题。 1.3x3·2x2y·4x2yisequivalentto: A.9x7y2 B.9x12y2 C.24x7y2 D.24x12y E.24x12y2 解析:ThecorrectanswerisC.Tofindanequivalentexpression,youcanmultiplyth
2、econstants(3·2·4),combinethexterm(x3x2x2→x3+2+2→x7,becausewhenyouhaveacommonbaseyouusethebaseandaddtheexponents),andcombinetheyterms(y·y→y1y1→y1+1→y2).Theresultis24x7y2. 正确答案选C。常数相乘(3·2·4),合并x项(x3x2x2→x3+2+2→x7)和y项(y·y→y1y1→y1+1→y2),结果为24x7y2。 2.Mr
3、.Dietzisateacherwhosesalaryis$22,570forthisschoolyear,whichhas185days.InMr.Dietz'sschooldistrict,substituteteachersarepaid$80perday.IfMr.Dietz'stakesadayoffwithoutpayandasubstituteteacherispaidtoteachMr.Dietz'sclasses,howmuchlessdoestheschooldistrict
4、payinsalarybypayingasubstituteteacherinsteadofpayingMr.Dietz'sforthatday? F.$42 G.$80 H.$97 J.$105 K.$122 解析:ThecorrectanswerisF.TofindMr.Dietz'spayperday,youcandividehissalary,$22,570,bythenumberofdaysheworks,185.Hispayperdayis22570/185,or$122
5、.WhenMr.Dietztakesadayoffwithoutpayandtheschoolpaysasubsititute$80,theschooldistrictsavesthedifferenceintheseamounts,122-80,or$42. 正确答案选F。先算出Dietz先生每天的平均工资,用22570除以185(可用计算器),即122美元。再用122美元减去学校需要支付临时老师的费用80美元,即可算出学校结余的费用,为42美元。 3.Sofar,astudenthase
6、arnedthefollowingscoresonfour100-pointteststhisgradingperiod:65,73,81,and82.Whatscoremustthestudentearnonthefifthandlast100-pointtestofthegradingperiodtoearnanaveragetestgradeof80forthe5tests? A.75 B.76 C.78 D.99 E.Thestudentcannotearnanaverageo
7、f80. 解析:ThecorrectanswerisD.Tofindwhatthestudentneedstoscoreonthefifth100-pointtesttoaverageascoreof80,youneedtofindthepointtotalforthestudentsofarbyadding65,73,81and82.Thatsumis301.Averaging80pointson5testsmeansthestudentmustearn400points(80·5).The
8、acoreneededonthelasttestisthedifference,400~301,or99. 正确答案选D。该学生前四次共得301分;5次考试平均分为80,意味着5次考试总分需达到400分,那么该学生最后一次考试需要达到的分数为400与301的差,即99分。 4.Arectangularlotthatmeasures150ftby200ftiscompletelyfenced.Whatistheapproximatelength,infeet,ofthefence? F.30