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If 3x – 4 = 11, what is the value of (3x – 4)^2
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02 Sep 2018, 21:15
02 Sep 2018, 21:15
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Question Stats:
95% (00:17) correct
4% (00:08) wrong based on 41 sessions
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If 3x – 4 = 11, what is the value of \((3x – 4)^2\)
A)22
B)36
C)116
D)121
E)256
A)22
B)36
C)116
D)121
E)256
Re: If 3x – 4 = 11, what is the value of (3x – 4)^2
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03 Sep 2018, 12:50
03 Sep 2018, 12:50
1
\(3x-4=11\), then \((3x-4)^2=11^2=121\)
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Re: If 3x – 4 = 11, what is the value of (3x – 4)^2
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04 Sep 2018, 10:45
04 Sep 2018, 10:45
1
amorphous wrote:
If 3x – 4 = 11, what is the value of \((3x – 4)^2\)
A)22
B)36
C)116
D)121
E)256
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
Answer: D
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
Answer: D
