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

Question

Responses

−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
Start Fraction 1 over 3 End Fraction q minus 2

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

Answer 1

To expand \( \frac{1}{3}(q - 6) \) using the Distributive Property, we will 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 \( -6 \): \[ \frac{1}{3} \cdot (-6) = -2 \]

Putting it all together, we have: \[ \frac{1}{3}(q - 6) = \frac{1}{3}q - 2 \]

So, the correct response is: \[ \frac{1}{3}q - 2 \]

This corresponds to the option: \[ 1/3q−2 \]