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Whats the best way to approach this problem.

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Whats the best way to approach this problem. [#permalink] New post 04 Aug 2009, 14:29
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If one comes across a question like this is there a trick to apply here? The only way I can think of getting an answer is by solving each equation to get the answer and seeing if it's correct or incorrect. Any tips anyone has to share here?


Q. Mary is reviewing her algebra quiz. She has determined that one of her solutions is incorrect. Which one is it?

A. 2x + 5 (x-1) = 9 x = 2
B. p - 3(p-5) = 10 p = 2.5
C. 4 y + 3 y = 28 y = 4
D. 5 w + 6 w – 3w = 64 w = 8
E. t – 2t – 3t = 32 t = 8
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Re: Whats the best way to approach this problem. [#permalink] New post 04 Aug 2009, 14:55
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arora2m wrote:
If one comes across a question like this is there a trick to apply here? The only way I can think of getting an answer is by solving each equation to get the answer and seeing if it's correct or incorrect. Any tips anyone has to share here?


Q. Mary is reviewing her algebra quiz. She has determined that one of her solutions is incorrect. Which one is it?

A. 2x + 5 (x-1) = 9 x = 2
B. p - 3(p-5) = 10 p = 2.5
C. 4 y + 3 y = 28 y = 4
D. 5 w + 6 w – 3w = 64 w = 8
E. t – 2t – 3t = 32 t = 8


one quick way is that you need not solve the equation, rather substitute the value of the variable and check for the correctness, example, take A, 9x =2 , so x = 2/9;
if you substitute this value in the equation, 2*2/9+ 5( 2/9-1) = 4/9-35/9=-31/9
guess its correct :roll:
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Re: Whats the best way to approach this problem. [#permalink] New post 04 Aug 2009, 15:03
Work backwards by substituting thats the easy way.

Substitute t=8 in the equation (E) t – 2t – 3t = 32

8-16-24 <> 32

Hence (E) is the answer
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Re: Whats the best way to approach this problem. [#permalink] New post 04 Aug 2009, 16:27
sdrandom1 wrote:
Work backwards by substituting thats the easy way.

Substitute t=8 in the equation (E) t – 2t – 3t = 32

8-16-24 <> 32

Hence (E) is the answer

Hi

how did you substitute t=8 , the given info is 32t =8
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Re: Whats the best way to approach this problem. [#permalink] New post 04 Aug 2009, 17:06
alwynjoseph wrote:
sdrandom1 wrote:
Work backwards by substituting thats the easy way.

Substitute t=8 in the equation (E) t – 2t – 3t = 32

8-16-24 <> 32

Hence (E) is the answer

Hi

how did you substitute t=8 , the given info is 32t =8


i believe there is a comma between 32 and t...and plugging the numbers in is the fastest way to do these problems...i think
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Re: Whats the best way to approach this problem. [#permalink] New post 04 Aug 2009, 18:09
I think the actual question is something like this. Pay attention to the semi-colons

A. 2x + 5 (x-1) = 9 ; x = 2
B. p - 3(p-5) = 10 ; p = 2.5
C. 4 y + 3 y = 28 ;y = 4
D. 5 w + 6 w – 3w = 64 ;w = 8
E. t – 2t – 3t = 32 ;t = 8
Re: Whats the best way to approach this problem.   [#permalink] 04 Aug 2009, 18:09
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