Question

Determine whether each expression is equivalent to x – 0.2x. Check the box for Yes and leave blank for No.

options:
a. 0.2x – x
b. (1 – 0.2)x
c. 1 – 0.2
d. 0.8x

Answer 1

After simplifying x - 0.2x to 0.8x, it's evident that only options b (0.8x) and d (0.8x) are equivalent to x - 0.2x. Options a (0.2x - x) and c (1 - 0.2) are not equivalent.

Step-by-step explanation:

To determine whether each expression is equivalent to x – 0.2x, let's simplify x – 0.2x first. This simplifies to x(1 – 0.2), which is x(0.8) or 0.8x.

• For option a, 0.2x – x, this is equivalent to x(0.2 – 1) which simplifies to -0.8x. This is not equivalent to 0.8x.

• Option b, (1 – 0.2)x, simplifies to 0.8x, which is equivalent to x – 0.2x.

• Option c, 1 – 0.2, is not an expression with x, so it's not equivalent to x – 0.2x.

• Option d, 0.8x, is clearly equivalent to x – 0.2x as they simplify to the same expression.

The correct answers are only options b and d.