Okay, so I'm studying to take the ACT and I have an ACT practice test book. I can't seem to get the answer for this one problem. Can you help? I don't want just the answer....a sloution as well would help a lot. Here's the problem:
2(4x + 7) - 3(2x - 4)?
Here are the answer choices:
A. x+ 2
B. 2x + 2
C. 2x + 26
D. 3x + 10
E. 3x + 11
Thanks in advance for any help!
2007-08-11 08:41:22 · 11 answers · asked by Diana 2 in Science & Mathematics ➔ Mathematics
2(4x + 7) - 3(2x - 4)
Alright, what you're trying to do here is simplify the equation. You've got to use the distributive property, which is a(b + c) = ab + ac.
So you would multiply what's inside the parentheses by what is outside, and you'd have
8x +14 - 3(2x - 4)
And then do the otherside as well. Note the -3.
8x + 14 - 6x + 12
It's a positive twelve because (-3)(-4) becomes positive.
Then all you do is simplify.
2 + 26
Your answer is C. =)
2007-08-11 08:51:29 · answer #1 · answered by Anonymous · 1⤊ 0⤋
First, distribute the 2 into (4x+7) you will get 8x+14
Second, distriute the -3 into (2x-4) you will get -6x+12
Right now you should have 8x+14 -6x+12
Now, combine like terms.
In the end you should get 2x+26
So the answer is C.
2007-08-11 08:58:46 · answer #2 · answered by sleepy traveler 1 · 0⤊ 0⤋
The first thing to do is distribute the 2 and the -3. This makes the problem much easier. It is very important to distribute -3 and not just 3.
So:
2(4x + 7) becomes 8x + 14
and -3(2x - 4) becomes -6x +12
(note the positive 12)
So now all you have to do is combine like terms.
8x +14 -6x + 12 = 2x + 26
so the answer is c
2007-08-11 08:50:29 · answer #3 · answered by normanqt 1 · 1⤊ 0⤋
=8x+14-6x+12=2x+26
C
2007-08-11 08:47:24 · answer #4 · answered by Anonymous · 1⤊ 1⤋
2(4x + 7) - 3(2x - 4) =
(8x + 14) - (6x - 12)=
Remove parenthesis
8x + 14 - 6x + 12
Collect like terms
8x - 6x + 14 + 12
2x + 26
- - - -
The answer is C
- - - - - - - - -
The answer can have one move step
2x + 26
factor out the 2
2(x + 13)
- - - - - - - -s-
2007-08-11 09:52:13 · answer #5 · answered by SAMUEL D 7 · 0⤊ 0⤋
First, distribute
2(4x+7)-3(2x-4)
8x+14-6x+12
Combine like terms
2x+14+12
2x+26
The answer is C. 2x+26
2007-08-11 08:48:38 · answer #6 · answered by plasticglasses24 4 · 1⤊ 0⤋
2(4x + 7) - 3(2x - 4)
= 8x + 14 - 6x + 12
= 2x + 26
C
2007-08-11 08:47:57 · answer #7 · answered by fofo m 3 · 1⤊ 1⤋
2(4x + 7) - 3(2x - 4)
2*4x+2*7+ -3*2x- -3*4
8x+14-6x+12
8x-6x+14+12
2x+26
C. is the correct answer
2007-08-11 08:50:23 · answer #8 · answered by taco_dude 2 · 1⤊ 0⤋
2(4x+7)-3(2x-4)
(8x+14)-(6x-12)
2x+2
2007-08-11 08:50:27 · answer #9 · answered by stever002 3 · 1⤊ 0⤋
here is how you work it...
First Distribute, so it looks like this
(8x+14)-(6x-12)
Then do your subraction:
8x+14-6x+12
=2x+26
So C is the right answer!!!
If you have any other math questions...email me !!!
2007-08-11 08:51:56 · answer #10 · answered by APierce248 1 · 1⤊ 0⤋