Question

Which expression is equivalent to 1/4 − 16? A) 1/4(n − 64) B) 4(n − 4) C)4(n − 64)

Answer 1

The answer is A.
What you can do is distribute the 1/4 or 4 into the parentheses and see if it is the expression you want:
$\frac{1}{4}(n-64)\\ \frac{1}{4}n-(\frac{64}{4})\\\frac{1}{4}n-16\\\\4(n-4)\\4n-16\\\\4(n-64)\\4n-(4*64)\\4n-256$
Since only option A simplifies to $\frac{1}{4}n-16$, A is your answer.

Answer 2

The answer is A.) 1/4(n-64) because if you distribute the 1/4 onto the parentheses it becomes n/4 - 16 which is equivalent to 1/4 - 16 if n were to equal 1.