Which of the following expressions are equivalent?
I. 3(6 - x)
II. 3 + (6 - x)
III. 6(3 - x)
IV. (6 - x) + (6 - x) + (6 - x)
A.
I and III
B.
I, III and IV
C.
II, III and IV
D.
I and IV
The correct answer is D. I and IV.
Explanation:
I. 3(6 - x) can be simplified to 18 - 3x.
III. 6(3 - x) can be simplified to 18 - 6x.
IV. (6 - x) + (6 - x) + (6 - x) can be simplified to 18 - 3x.
Since I and IV both simplify to 18 - 3x, they are equivalent expressions.