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Which is greater (r + 3)( s + 2) or rs + 12
[#permalink]
07 Apr 2019, 09:47
07 Apr 2019, 09:47
Expert Reply
00:00
Question Stats:
94% (00:43) correct
5% (01:25) wrong based on 91 sessions
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Quantity A |
Quantity B |
(r+3)(s+2) |
rs+12 |
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.
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Which is greater (r + 3)( s + 2) or rs + 12
[#permalink]
08 Apr 2019, 08:46
08 Apr 2019, 08:46
1
Carcass wrote:
Quantity A |
Quantity B |
(r+3)(s+2) |
rs+12 |
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.
We can solve this question using matching operations
Given:
Quantity A: (r + 3)(s + 2)
Quantity B: rs + 12
Use FOIL to expand Quantity A:
Quantity A: rs + 2r + 3s + 6
Quantity B: rs + 12
Subtract rs and subtract 6 from both quantities to get:
Quantity A: 2r + 3s
Quantity B: 6
From here, we can see that, if r = 0 and s = 0, then Quantity B is greater than Quantity A
Conversely, if r = 100 and s = 100, then Quantity A is greater than Quantity B
Answer: D
RELATED VIDEO
Re: Which is greater (r + 3)( s + 2) or rs + 12
[#permalink]
17 Jul 2019, 05:33
17 Jul 2019, 05:33
2
Shouldn't it be: Quantity A: rs + 2r + 3s + 6
not 12?
not 12?
