Question

Which expression is equivalent to 1/4 (14x - 10) -3 (2 1/2x - 1 1/2) ?

A. 4x - 7
B. 4x + 2
C. -4x - 7
D. -4x + 2

Answer 1

the expression 1/4 (14x - 10) -3 (2 1/2x - 1 1/2) is equivalent to -8x + 2, which is option D.

Answer 2

To simplify the expression, we can start by distributing the coefficients:

1/4 (14x - 10) -3 (2 1/2x - 1 1/2) = 7/2x - 5/2 - 15/2x + 9/2

Next, we can combine like terms:

= (-15/2x + 7/2x) + (-5/2 + 9/2)

= -8/2x + 4/2

= -4x + 2

Therefore, the expression 1/4 (14x - 10) -3 (2 1/2x - 1 1/2) is equivalent to -4x + 2. Answer choice D is correct.