Question

PLEASE HELP FOR 20 POINTS!

Which expression is equivalent to 1/2 x -1



A. 1/3(3/2 x -1)



B. 2/3(3/2 x - 3/2)



C. -2/3(3/2 - 3/4x)



D. -2/3(-3/4 x - 3/2

Answer 1

We can simplify the expression 1/2x - 1 by finding a common denominator for the two terms and combining them:

1/2x - 1 = 1/2x - 2/2
= (1/2)x - 1

So, the expression equivalent to 1/2x - 1 is (A) 1/3(3/2x - 1).

We can verify this by distributing the 1/3 to the expression inside the parentheses:

1/3(3/2x - 1) = (1/3)(3/2x) - (1/3)(1)
= (1/2)x - 1/3

This is equivalent to the original expression (1/2)x - 1, so the answer is (A) 1/3(3/2x - 1).