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TAGS: Active Member  Joined: 07 Jan 2018
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If 3x – 4 = 11, what is the value of (3x – 4)^2 [#permalink]
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Question Stats: 100% (00:16) correct 0% (00:00) wrong based on 26 sessions
If 3x – 4 = 11, what is the value of $$(3x – 4)^2$$

A)22
B)36
C)116
D)121
E)256
[Reveal] Spoiler: OA Intern Joined: 28 Aug 2018
Posts: 28
GRE 1: Q170 V166 WE: Other (Education)
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Kudos [?]: 30  , given: 0

Re: If 3x – 4 = 11, what is the value of (3x – 4)^2 [#permalink]
1
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$$3x-4=11$$, then $$(3x-4)^2=11^2=121$$
_________________

Yuan Liu, Creator of Gregory. Dartmouth Grad.

For More GRE Math Resources GRE Instructor Joined: 10 Apr 2015
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Re: If 3x – 4 = 11, what is the value of (3x – 4)^2 [#permalink]
1
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Expert's post
amorphous wrote:
If 3x – 4 = 11, what is the value of $$(3x – 4)^2$$

A)22
B)36
C)116
D)121
E)256

Approach #1 (fast)
Given: 3x – 4 = 11
Square each side to get: (3x – 4)² = 11²
Evaluate right side to get: (3x – 4)² = 121

Approach #2 (slow)
Given: 3x – 4 = 11
Add 4 to both sides: 3x = 15
Solve: x = 5

So, (3x – 4)² = [3(5) – 4]²
= (15 - 4)²
= (11)²
= 121
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Brent Hanneson – Creator of greenlighttestprep.com
If you enjoy my solutions, you'll like my GRE prep course. Manager  Joined: 06 Jun 2018
Posts: 94
Followers: 2

Kudos [?]: 80 , given: 0

Re: If 3x – 4 = 11, what is the value of (3x – 4)^2 [#permalink]
amorphous wrote:
If 3x – 4 = 11, what is the value of $$(3x – 4)^2$$

A)22
B)36
C)116
D)121
E)256

Given,

3x - 4 = 11

$$(3x - 4)^2 = 11^2$$

$$(3x - 4)^2 = 121$$ Re: If 3x – 4 = 11, what is the value of (3x – 4)^2   [#permalink] 07 Sep 2018, 19:28
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