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# What is the value of (3x - 2)(4x + 1) - (3x - 2)4x + 1 when x = 4?

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Math Expert
Joined: 02 Sep 2009
Posts: 59725
What is the value of (3x - 2)(4x + 1) - (3x - 2)4x + 1 when x = 4?  [#permalink]

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18 Mar 2019, 23:59
00:00

Difficulty:

35% (medium)

Question Stats:

70% (01:16) correct 30% (00:40) wrong based on 44 sessions

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What is the value of (3x - 2)(4x + 1) - (3x - 2)4x + 1 when x = 4?

(A) 0
(B) 1
(C) 10
(D) 11
(E) 12

_________________
Manager
Joined: 05 Oct 2017
Posts: 102
Location: India
Schools: ISB '21, IIMA , IIMB
GPA: 4
WE: Analyst (Energy and Utilities)
Re: What is the value of (3x - 2)(4x + 1) - (3x - 2)4x + 1 when x = 4?  [#permalink]

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19 Mar 2019, 00:12
Bunuel wrote:
What is the value of (3x - 2)(4x + 1) - (3x - 2)4x + 1 when x = 4?

(A) 0
(B) 1
(C) 10
(D) 11
(E) 12

(3x - 2)(4x + 1) - (3x - 2)4x + 1 = (3x - 2) + 1 = 3x - 1

For x = 4 3x -1 = 11. (D)
Intern
Joined: 03 Nov 2018
Posts: 6
Re: What is the value of (3x - 2)(4x + 1) - (3x - 2)4x + 1 when x = 4?  [#permalink]

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21 Mar 2019, 07:28
shuvodip04 wrote:
Bunuel wrote:
What is the value of (3x - 2)(4x + 1) - (3x - 2)4x + 1 when x = 4?

(A) 0
(B) 1
(C) 10
(D) 11
(E) 12

(3x - 2)(4x + 1) - (3x - 2)4x + 1 = (3x - 2) + 1 = 3x - 1

For x = 4 3x -1 = 11. (D)

Senior Manager
Joined: 25 Feb 2019
Posts: 335
Re: What is the value of (3x - 2)(4x + 1) - (3x - 2)4x + 1 when x = 4?  [#permalink]

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21 Mar 2019, 08:32
1
shobhitraj wrote:
shuvodip04 wrote:
Bunuel wrote:
What is the value of (3x - 2)(4x + 1) - (3x - 2)4x + 1 when x = 4?

(A) 0
(B) 1
(C) 10
(D) 11
(E) 12

(3x - 2)(4x + 1) - (3x - 2)4x + 1 = (3x - 2) + 1 = 3x - 1

For x = 4 3x -1 = 11. (D)

IMO D .

put x= 4 in given expression we

get

170-160+1 = 11

Posted from my mobile device
Manager
Joined: 05 Oct 2017
Posts: 102
Location: India
Schools: ISB '21, IIMA , IIMB
GPA: 4
WE: Analyst (Energy and Utilities)
Re: What is the value of (3x - 2)(4x + 1) - (3x - 2)4x + 1 when x = 4?  [#permalink]

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21 Mar 2019, 09:49
shobhitraj wrote:
shuvodip04 wrote:
Bunuel wrote:
What is the value of (3x - 2)(4x + 1) - (3x - 2)4x + 1 when x = 4?

(A) 0
(B) 1
(C) 10
(D) 11
(E) 12

shobhitraj

(3x - 2)(4x + 1) - (3x - 2)4x + 1

=(3x -2)4x + (3x-2) -(3x-2)4x + 1

=3x -2 +1
=3x -1

So the entire expression reduces to 3x -1 after simplification
Putting x = 4 in the expression 3x -1 we get
3x-1 = 3*4 -1=12-1=11.

(D)
Intern
Joined: 29 Oct 2012
Posts: 21
Re: What is the value of (3x - 2)(4x + 1) - (3x - 2)4x + 1 when x = 4?  [#permalink]

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21 Mar 2019, 12:24
(3x - 2)(4x + 1) - (3x - 2)4x + 1
Substituting x=4
170-160+1=11 i.e D
Re: What is the value of (3x - 2)(4x + 1) - (3x - 2)4x + 1 when x = 4?   [#permalink] 21 Mar 2019, 12:24
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