Which expression is equivalent to 18 – (8 • q)?ResponsesA (18 – 8) • q(18 – 8) •  qB (8 • q) – 18(8 • q ) – 18C (18 – q) • 8(18 – q ) • 8D 18 – (q • 8)

To find the expression equivalent to $18 - (8 \cdot q)$, we can analyze each of the provided options.

1. Option A: $(18 - 8) \cdot q$
   This simplifies to $10 \cdot q$, which is not equivalent to $18 - (8 \cdot q)$.

2. Option B: $(8 \cdot q) - 18$
   This can be rewritten as $-18 + (8 \cdot q)$, which is also not equivalent to $18 - (8 \cdot q)$.

3. Option C: $(18 - q) \cdot 8$
   Distributing gives $144 - 8q$, which is not equivalent to $18 - (8 \cdot q)$.

4. Option D: $18 - (q \cdot 8)$
   This simplifies directly to $18 - (8 \cdot q)$, which matches the original expression.

Final Answer

The expression equivalent to $18 - (8 \cdot q)$ is Option D: $18 - (q \cdot 8)$.