Question

Kaleb used the distributive property to write two equivalent expressions. Use w = 5 and w = 10 to determine if the two expressions are equivalent.

     12(w – 3)     12w – 36

When w = 5, both expressions have a value of 24.

When w = 10, both expressions have a value of
.
Therefore, the expressions are equivalent.

Answer 1

Let's evaluate both expressions, \( 12(w - 3) \) and \( 12w - 36 \), using \( w = 10 \).

1. For the first expression, \( 12(w - 3) \):
\[
12(10 - 3) = 12(7) = 84
\]

2. For the second expression, \( 12w - 36 \):
\[
12(10) - 36 = 120 - 36 = 84
\]

Both expressions yield a value of \( 84 \) when \( w = 10 \).

So, we conclude:

When \( w = 10 \), both expressions have a value of **84**.

Therefore, the expressions are equivalent.