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# If 3x – 4 = 11, what is the value of (3x – 4)^2

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If 3x – 4 = 11, what is the value of (3x – 4)^2 [#permalink]  02 Sep 2018, 21:15
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Question Stats:

100% (00:06) correct 0% (00:00) wrong based on 10 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: 19
GRE 1: Q170 V166
WE: Other (Education)
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Re: If 3x – 4 = 11, what is the value of (3x – 4)^2 [#permalink]  03 Sep 2018, 12:50
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$$3x-4=11$$, then $$(3x-4)^2=11^2=121$$
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Re: If 3x – 4 = 11, what is the value of (3x – 4)^2 [#permalink]  04 Sep 2018, 10:45
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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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Re: If 3x – 4 = 11, what is the value of (3x – 4)^2 [#permalink]  07 Sep 2018, 19:28
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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