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

Question

Responses

1/3q−2
Start Fraction 1 over 3 End Fraction q minus 2

−1/3q+6
negative Start Fraction 1 over 3 End Fraction q plus 6

1/3q−6
Start Fraction 1 over 3 End Fraction q minus 6

−1/3q+2

Answer 1

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

\[ \frac{1}{3}(q) - \frac{1}{3}(6) \]

This simplifies to:

\[ \frac{1}{3}q - 2 \]

Therefore, the correct response is:

\[ \frac{1}{3}q - 2 \]