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# If 4(r – s) = –2, then what is r, in terms of s ?

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If 4(r – s) = –2, then what is r, in terms of s ? [#permalink]  03 Jun 2017, 02:50
Expert's post
00:00

Question Stats:

92% (00:40) correct 7% (00:00) wrong based on 40 sessions

If $$4(r – s) = –2$$, then what is r, in terms of s ?

A) $$-\frac{8}{2}$$

B) $$s - \frac{1}{2}$$

C) $$s - \frac{3}{2}$$

D) $$s + 2$$

E) $$2s$$
[Reveal] Spoiler: OA

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GRE Instructor
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Re: If 4(r – s) = –2, then what is r, in terms of s ? [#permalink]  06 Jun 2017, 15:35
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Expert's post
Carcass wrote:

If 4(r – s) = –2, then what is r, in terms of s ?

A) $$\frac{-8}{2}$$

B) $$s - \frac{1}{2}$$

C) $$s - \frac{3}{2}$$

D) $$s + 2$$

E) $$2s$$

Given: 4(r – s) = –2 [solve for r]
Expand: 4r - 4s = -2
Add 4s to both sides: 4r = -2 + 4s
Rewrite right side: 4r = 4s - 2
Divide both sides by 4 to get: r = (4s - 2)/4
Check answer choices....not there. Looks like they want us to simplify.

We can use a nice rule that says (a - b)/c = a/c - b/c

So, (4s - 2)/4 = 4s/4 - 2/4
= s - 1/2

[Reveal] Spoiler:
B

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

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Re: If 4(r – s) = –2, then what is r, in terms of s ? [#permalink]  04 Sep 2019, 22:29
1
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4r - 4s = -2
r = (4s-2)/4
r= = s - (2/4)
r= = s - (1/2)
Re: If 4(r – s) = –2, then what is r, in terms of s ?   [#permalink] 04 Sep 2019, 22:29
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