Question

Which expression is equivalent to -1/4 x + 1/2?

A) 1/4 (x +2)
B) -1/4 ( x + 2)
C) 1/4 (- x + 1/2)
D) -1/4 ( -x +1/2)

Answer 1

The given expression is:


`- (1)/(4)x+ (1)/(2)`

1/2 can be written as 2 x 1/4 . So the expression becomes:


`- (1)/(4)x+ (1)/(4)*2`

Taking out 1/4 as common we get:


`(1)/(4)(-x+2) \\ \\ or \\ \\ -(1)/(4)(x-2)`

Answer 2

The expression is given by:


`-(1)/(4)x+ (1)/(2)`

So we need to find an equivalent equation for this problem. Then, we will apply some mathematical rules:

Extracting the common factor 1/4, then:


`(1)/(4)(-x+2})`

Or extracting the common factor -1/4, then:


`-(1)/(4)(x-2})`

So, comparing these solutions with the answers about, there is no any answer that matches.