If, which of the following statements must be true?

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问题 If

, which of the following statements must be true?

选项 A、m = n
B、5m= 4n
C、5m= -4n
D、25m=16n
E、25m = -16n

答案E

解析 You can simplify each side of the equation

as follows.

So the equation

can be rewritten as

.
Cross multiplying in the rewritten equation gives 20(m + n)= 9(5m + 4n), which simplifies to 20m + 20n = 45m + 36n, or -16n = 25m. Thus the correct answer is Choice E.
This explanation uses the following strategy.
Strategy 5: Simplify an Arithmetic or Algebraic Representation

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If, which of the following statements must be true?

GRE QUANTITATIVE

GRE

WhenIwasyoung,Ispentmysummervacationsonmygrandparents’farm.ThesummerthatIgraduatedfromcollege,I【C1】______my

Oneofthebestpiecesofmedicalnewstoemergeoverthelastseveralyearsisthatchocolatemay【C1】______youlivelonger,pro

Collegeisanewandchallengingexperience,andnewandchallengingexperiencetendtoproducestress.Consequently,stressis

IwastalkingwithaseniorPublicRelationsmanagertheotherdayaboutTheGameTrainersandheexpressedmuchdoubtaboutbot

Insuranceisthesharingofrisks.Nearlyeveryoneisexposedtoriskofsomesort.Thehouse-owner,forexample,knowsthathi

Theresultsofthesurveyareinterestingandthey______morequestionsthantheycananswer.

SpeakerA:I’dlikeabeer.SpeakerB:Certainlysir,______

Thequalityofthiskindofcomputeris______tothatofimportedcomputers.

—Youcouldn’thavechosenanygiftbetterforme.—______.

_________workhasbeendonetoimprovepeople’slivingstandard.

羚羊角的正确用法是

患儿2岁，发热、呕吐、烦躁1天。查体：T40℃，嗜睡，前囟隆起，颈强直，心肺(一)，克氏征(+)，布氏征(+)，血象WBC28．0×109／L，目前患儿需做哪项检查能快速诊断

ThestoryofwhyIlearnttoswimisinteresting.Threeyearsbefore,myfatherandIwenttotheswimmingpoolforswim.While

最常见的行政协调方法是（）。

Theauthor’sattitudetowardsthephenomenamentionedatthebeginningofthetextisoneofWhichofthefollowingisclosest

Whatdoesthemanwanttoknow?

Linguistshavefoundthatsignlanguagesandspokenlanguagessharemanyfeatures.Likespokenlanguages,whichuseunitsofsou

Ayearago,monetaryunionlookedasifitwasheadingforcertaindeath,withtheEuropeanbankingsysteminapparentmeltdown

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