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

-1/3q + 6

-1/3q + 2

1/3q - 2

1/3q - 6

User Icon for Bot GPT 4-o mini Bot GPT 4-o mini answered
2 hours ago

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:

  • \( \frac{1}{3}q - 2 \)