Question

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

−13q+6
negative Start Fraction 1 over 3 End Fraction q plus 6

−13q+2
negative Start Fraction 1 over 3 End Fraction q plus 2

13q−2
Start Fraction 1 over 3 End Fraction q minus 2

13q−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:

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

This simplifies to:

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

So the correct response is:

\(-\frac{1}{3}q + 2\) (Though it's written with a leading negative sign, it should be presented with positive 2)

None of the options you provided match this exact correct answer. However, if "negative Start Fraction 1 over 3 End Fraction q plus 2" appears, it seems the closest logical representation.

Please check the provided options for clarity or potential typing errors in the answer list.