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240 SAT Math Questions & Answers from 800 Scorer

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240 SAT Math Questions & Answers from 800 Scorer This document contains roughly 240 challenging SAT math questions that I've compiled over the past four years for the digital SAT. Reviewing these helped me reach the 1% in PSAT test takers(national merit finalist status) and earned me an 800 in the math section of the test. This document includes answers, explanations, and tips alongside each question. These questions are geared towards the second(more difficult) math module.

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240 SAT MATH QUESTIONS &
ANSWERS FROM 800 SCORER


1.FLinearFEquation



IfF3x+7=25,FwhatFisFtheFvalueFofFx?



A.F4

B.F5

C.F6

D.F8



F CorrectFAnswer:FC.F6



Solution:

3x+7=25



SubtractF7:



3x=18

,DivideFbyF3:



x=6

Rationale:



SolveFoneFstepFatFaFtimeFbyFisolatingFtheFvariable.



2.FSystemsFofFEquations



If:



x+y=10

x−y=4



WhatFisFtheFvalueFofFx?



A.F3

B.F5

C.F7

D.F10



FCorrectFAnswer:FC.F7



Solution:



AddFbothFequations:

,(x+y)+(x−y)=10+4

2x=14

x=7

Rationale:



AddingFequationsFeliminatesFy,FallowingFyouFtoFsolveFforFx.



3.FQuadraticFEquation



WhatFareFtheFsolutionsFof:



x

2

−9=0



A.Fx=3Fonly

B.Fx=−3Fonly

C.Fx=3ForFx=−3

D.Fx=9



F CorrectFAnswer:FC



Solution:

x

2

, =9



TakingFsquareFroots:



x=±3

Rationale:



AFsquaredFnumberFcanFhaveFbothFpositiveFandFnegativeFroots.



4.FPercentageFProblem



AFjacketFcostsF$80FandFisFdiscountedFbyF25%.FWhatFisFtheFsaleFprice?



A.F$20

B.F$55

C.F$60

D.F$75



CorrectFAnswer:FC.F$60
F




Solution:



Discount:



25%×80=0.25(80)=20

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