Question

Select the two expressions that are equivalent.

A) 15x
B) 8x - 12
C) 1/5 x - 9
D) 7(x - 5)
E) 8 - 6x - 2x

Answer 1

The two expressions that are equivalent are 8x - 12 and 7(x - 5).

Step-by-step explanation:

The two expressions that are equivalent are 8x - 12 (Option B) and 7(x - 5) (Option D). Let's check this step by step:

1. Expression A: 15x - not equivalent to the others.
2. Expression C: 1/5 x - 9 - not equivalent to the others.
3. Expression E: 8 - 6x - 2x - not equivalent to the others.
4. Expression B: 8x - 12 - equivalent to Expression D because we can distribute the 7 to the terms inside the parentheses and get 7x - 35.
5. Expression D: 7(x - 5) - equivalent to Expression B because we can distribute the 7 to the terms inside the parentheses and get 7x - 35.

Therefore, the two expressions that are equivalent are

8x - 12 and 7(x - 5).