Question

Zoe, Latoya, Christina, and Rhoda each used a different method to verify that

-2(3x - 12) = -6x + 24


Whose method can be used to verify that the distributive property was correctly applied to the expression?
A.) Zoe's method
B.) Latoy's Method
C.) Christina's Method
D.) Rhoda's Method

Answer 1

Rhoda : sub same values of x into both expressions. The expressions are equivalent if the values of the expressions are equal.

Answer 2

D) Rhoda's Method

Explanation:

-2(3x - 12)

Using the distributive property a(b - c) = ab - ac

-2(3x -12) = -2(3x) -2(-12)

= -6x + 24

Which means-2(3x - 12) and -6x + 24 are equal.

To check this, we have to substitute the same x value for both the expression and evaluate them.

Both expression will have the same value.

Therefore, Rhoda is correct.

Thank you.