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Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
2x - y/x
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11 May 2017, 08:47
11 May 2017, 08:47
00:00
Question Stats:
68% (00:51) correct
31% (00:41) wrong based on 32 sessions
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x < 0 and y > 0
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
\(\frac{(2x - y)}{x}\) |
\(\frac{(2y - x)}{x}\) |
A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: 2x - y/x
[#permalink]
12 May 2017, 06:03
12 May 2017, 06:03
2
GreenlightTestPrep wrote:
x < 0 and y > 0
Quantity A |
Quantity B |
(2x - y)/x |
(2y - x)/x |
A fast approach is to apply rules for positive and negative numbers.
Quantity A: [2(negative) - positive]/negative
Quantity B: [2(positive) - negative]/negative
Quantity A: negative/negative
Quantity B: positive/negative
Quantity A: positive
Quantity B: negative
Answer:
Show: ::
A
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: 2x - y/x
[#permalink]
12 May 2017, 06:09
12 May 2017, 06:09
1
GreenlightTestPrep wrote:
x < 0 and y > 0
Quantity A |
Quantity B |
(2x - y)/x |
(2y - x)/x |
Another approach is use a property that says: (a - b)/x = a/x - b/x
Given:
Quantity A: (2x - y)/x
Quantity B: (2y - x)/x
Apply rule and rewrite:
Quantity A: 2x/x - y/x
Quantity B: 2y/x - x/x
Simplify:
Quantity A: 2 - y/x
Quantity B: 2y/x - 1
Add 1 to both quantities:
Quantity A: 3 - y/x
Quantity B: 2y/x
Add y/x to both quantities:
Quantity A: 3
Quantity B: 3y/x
Divide both quantities by 3 to get:
Quantity A: 1
Quantity B: y/x
Since x is NEGATIVE and y is POSITIVE, we know that y/x is NEGATIVE:
Quantity A: 1
Quantity B: NEGATIVE
Answer:
Show: ::
A
Cheers,
Brent
