The Distributive Property & Algebraic Expressions Quick Check

Question

Expand 1/3 (q — 6) using the Distributive property.
A: 1/3q — 6
B: —1/3q + 2
C: 1/3q — 2
D: — 1/3q + 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:

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

This simplifies to:

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

So, the correct answer is:

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