Question

Expand 1/3 ( q - 6 ) using the Distributive Property.

-1/3q + 6

-1/3q + 2

1/3q - 2

1/3q - 6

Answer 1

To expand \( \frac{1}{3} (q - 6) \) using the Distributive Property, you multiply \( \frac{1}{3} \) by each term inside the parentheses:

1. Multiply \( \frac{1}{3} \) by \( q \):
\[
\frac{1}{3} \cdot q = \frac{1}{3}q
\]

2. Multiply \( \frac{1}{3} \) by \(-6\):
\[
\frac{1}{3} \cdot (-6) = -\frac{6}{3} = -2
\]

Now, combine the two results:
\[
\frac{1}{3} (q - 6) = \frac{1}{3}q - 2
\]

So the correct expression after using the Distributive Property is:
\[
\frac{1}{3}q - 2
\]

The correct answer from your options is:
- \( \frac{1}{3}q - 2 \)