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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GRE QUANTITATIVE

GRE

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If, which of the following statements must be true?

GRE QUANTITATIVE

GRE

Thefactoryhadto______anumberofemployeesbecauseoftheeconomiccrisisinthecountry.

Therelationshipbetweenemployersandemployeeshasbeenstudied______.

Tourismhasbecomeaverybig【C1】______.ForSpain,ItalyandGreeceitisthelargest【C2】______offoreignexchange,andevenfo

Whofirstthoughtofusingbullockstoprovideenergy?Whichofthefollowingistrueaboutthedevicementionedinthepassage

IwastalkingwithaseniorPublicRelationsmanagertheotherdayaboutTheGameTrainersandheexpressedmuchdoubtaboutbot

AdamSmithwasthefirstpersontoseetheimportanceofthedivisionofthelabor.Hegaveusanexampleoftheprocessbywhic

Youfeelhappiestwhenyoucreateahealthybalancebetweengivingandreceiving.Ifyougiveandgivewithoutmakingtimetofi

Solvetheproblemandindicatethebestoftheanswerchoicesgiven.NUMBERS:Allnumbersusedarerealnumbers.FIGURES:

Inthefigureabove，threesquaresandatrianglehaveareasofA，B，C，andXasshown．IfA=144，B=81，andC=225，thenX=

Similartorisinginterestrates,consumerandproducerpriceshavebeenrising.

学前儿童绘画、写字的持续时间不宜超过5～10分钟。()

自动控制系统的控制作用就是不断克服()的过程。

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以下属于河流水文调查与水文测量内容的是()

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()是指企业现在和将来应从事什么样的事业活动，以及应成为什么性质的企业或组织类型。

精神分析理论认为，新生儿人格结构中唯一的成分是()

Thankstotheintroductionofnewdrugs,manyoftheearlyproblemsinorgantransplants,suchastissuerejection,have,toag

Theresearch,ledbyRobinDunbar,headoftheInstituteofCognitiveandEvolutionaryAnthropologyatOxfordUniversity,showed

Tourismhasbecomeaverybig【C1】.ForSpain,ItalyandGreeceitisthelargest【C2】offoreignexchange,andevenfo