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# If 8a – 2 = 22, then 4a – 1 =

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Kudos [?]: 1028 [0], given: 4631

If 8a – 2 = 22, then 4a – 1 = [#permalink]  22 May 2017, 01:51
Expert's post
00:00

Question Stats:

93% (00:24) correct 6% (00:10) wrong based on 16 sessions

If 8a – 2 = 22, then 4a – 1 =

A) 2

B) $$\frac{11}{4}$$

C) 11

D) 12

E) 44
[Reveal] Spoiler: OA

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GRE Instructor
Joined: 10 Apr 2015
Posts: 1232
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Kudos [?]: 1110 [0], given: 7

Re: If 8a – 2 = 22, then 4a – 1 = [#permalink]  22 May 2017, 08:32
Expert's post
Carcass wrote:

If 8a – 2 = 22, then 4a – 1 =

A) 2

B) $$\frac{11}{4}$$

C) 11

D) 12

E) 44

The fast approach is to recognize that we have (4a + 1) "hiding" in the expression 8a - 2

Given: 8a – 2 = 22
Divide both sides by 2 to get: 4a - 1 = 11
[Reveal] Spoiler:
C

Alternatively, we could have also solved the given equation first.
Given: 8a – 2 = 22
Add 2 to both sides: 8a = 24
Solve, a = 3

So, 4a - 1 = (4)(3) - 1
= 12 - 1
= 11
[Reveal] Spoiler:
still C

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com

Re: If 8a – 2 = 22, then 4a – 1 =   [#permalink] 22 May 2017, 08:32
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