Question

(x/2 + 3) - (4x- 3/4) which of the following is equivalent to the expression

Answer 1

Answer: B

Explanation:

Alright, we should start by distributing the negative so we can combine like terms later:

So that would leave us with
`(x)/(2)`+3-4x+
`(3)/(4)`

Now we should combine x terms:

to combine
`(x)/(2)` and -4x, we must find a common denominator. I assume you know how to do that- if not just let me know :)

So now we would have
`(x)/(2)`-
`(8x)/(2)`. This equals
`(-7x)/(2)`

Next, combine all other like terms (3 and
`(3)/(4)`):

Once again, we have to find a common denominator, so:

`(12)/(4)`+
`(3)/(4)`

We then add giving us:

`(15)/(4)`

Write everything together and you got an answer:

`(-7x)/(2)`+
`(15)/(4)` or B

Hope that made sense