Question

Determine whether each expression is equivalent to x – 0.2x.

a. 0.2x – x
b. (1 – 0.2)x
c. 1 – 0.2
d. .8x

Answer 1

To determine if various expressions are equivalent to x - 0.2x, we simplify each expression and compare.

Step-by-step explanation:

To determine whether each expression is equivalent to x - 0.2x, we can simplify the expressions and compare them:

1. 0.2x - x: Combine like terms 0.2x and -x, which gives us -0.8x.
2. (1 - 0.2)x: Simplify 1 - 0.2 to 0.8. Multiply 0.8 by x to get 0.8x.
3. 1 - 0.2: Simplify 1 - 0.2 to 0.8.
4. 0.8x: This expression is already in the form x - 0.2x.

From the above evaluations, we can see that expression (a) 0.2x - x is not equivalent to x - 0.2x. Expression (b) (1 - 0.2)x is equivalent to x - 0.2x. Expression (c) 1 - 0.2 is not equivalent to x - 0.2x. Expression (d) 0.8x is equivalent to x - 0.2x.

Therefore, expressions b and d are equivalent to x – 0.2x.