Question

5. Which of the following is a true statement?A. -4(W + 8) is equivalent to -4W + 32.B. -2.5(4p – 16) is equivalent to - 10p + 40.-C. 1/2(8 – 4g) is equivalent to 4 + 2g.D. All of the above are true.

Answer 1

5)

A) - 4(W + 8)

We would expand the parentheses by multiplying each term inside the parentheses with the term outside. It becomes

- 4W - 32

Thus

-4(W + 8) is not equivalent to -4W + 32.

B) -2.5(4p – 16)

We would expand the parentheses by multiplying each term inside the parentheses with the term outside. It becomes

- 10p + 40

-2.5(4p – 16) is equivalent to - 10p + 40

C) 1/2(8 – 4g)

We would expand the parentheses by multiplying each term inside the parentheses with the term outside. It becomes

1/2 x 8 - 1/2 x 4g

= 4 - 2g

1/2(8 – 4g) is not equivalent to 4 + 2g

The correct option is B