Question

Which of the following expressions are equivalent?

I. 6x + 24
II. 4(2x+6)
III. 3(2x+8)
A. I and II
B. II and III
C. I and III
D. I, II, and III

Answer 1

C

Explanation:

Option 2 is 4(2x + 6) which is also equal to:

`8x + 24`

Distribute the 4 with the 2x + 6.

Option 3 is 3(2x+8) which is also equal to:

`6x + 24`

Distribute the 3 with the 2x + 8.

So, option 3 and option 1 are equivalent to each other.

Answer 2

C. I and III

Explanation:

3(2x+8) = 6x + 24