The Distributive Property & Algebraic Expressions Quick Check

Question

Expand —5 (—3 — 11g).
A: —55g + 15
B: 55g — 15
C: —55g — 15
D: 55g + 15

Answer 1

To expand the expression \(-5(-3 - 11g)\), we can use the distributive property. This means we multiply \(-5\) by each term inside the parentheses.

1. Multiply \(-5\) by \(-3\): \(-5 \times -3 = 15\)

2. Multiply \(-5\) by \(-11g\): \(-5 \times -11g = 55g\)

Now, combine these results:

\[ -5(-3 - 11g) = 15 + 55g \]

Rearranging gives us:

\[ 55g + 15 \]

Therefore, the correct answer is:

D: \(55g + 15\).