Question

Which of the following expressions are equivalent? I. 4(6 - x) II. 4 + (6 - x) III. 6(4 - x) IV. (6 - x) + (6 - x) + (6 - x) + (6 - x) A. I and IV B. I, III and IV C. I and III D. II, III and IV

Answer 1

A. I and IV

Explanation:

I. 4(6 - x)

II. 4 + (6 - x)

III. 6(4 - x)

IV. (6 - x) + (6 - x) + (6 - x) + (6 - x)

Let's keep them in the simplest expressions.

I. 4(6 - x)

4(6) - 4x

24 - 4x

II. 4 + (6 - x)

4 + 6 - x

10 - x

III. 6(4 - x)

6(4) - 6x

24 - 6x

IV. (6 - x) + (6 - x) + (6 - x) + (6 - x)

6 - x + 6 - x + 6 - x + 6 - x

6 + 6 + 6 + 6 - x - x - x - x

24 - 4x

Only I and IV have the same result.