Question

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

13q−6
Start Fraction 1 over 3 End Fraction q minus 6

−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

Answer 1

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

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

Calculating each term:

\[
\frac{1}{3} \cdot q = \frac{1}{3}q
\]
\[
\frac{1}{3} \cdot 6 = 2
\]

So the expression becomes:

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

Thus, the correct expanded expression is:

\(\frac{1}{3}q - 2\)

It appears that none of the provided answers perfectly match the correct expression. However, the closest correct expression is:

Start Fraction 1 over 3 End Fraction q minus 2.