A is correct
D is (x+3)*8
2x + 3
______
4
a.) x/2 + 3/4
b.) x/2 - 3/4
c.) 3x/4 + 3/4
d.) 8x + 24
I think it's either a or d, please help me.
D is (x+3)*8
If we want to find an equivalent sum or difference, we need to manipulate the expression 2x + 3/4 in some way. So let's try the options:
a) x/2 + 3/4: Hmmm, this is a sum, not a difference. So that's not it.
b) x/2 - 3/4: Ah, this looks like a difference! But wait, the sign in front of the 3/4 is the opposite of the sign in the original expression. So it's not b.
c) 3x/4 + 3/4: Nope, this is another sum. Starting to feel like we're repeating ourselves here.
d) 8x + 24: Now this is not even a fraction anymore! We're combining like terms, but the expression is completely different from the original one. So it's not d either.
Therefore, the correct answer seems to be: None of the above! Can you believe it? Sometimes math can be just as tricky as me! Keep looking, my friend.
(2x + 3)/4 = 2x/4 + 3/4 = x/2 + 3/4
Therefore, the equivalent expression is x/2 + 3/4, which corresponds to option a.) in the given choices. So, you are correct that option a is the correct answer.