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:

`(1)/(4)(n-64)\\ (1)/(4)n-((64)/(4))\\(1)/(4)n-16\\\\4(n-4)\\4n-16\\\\4(n-64)\\4n-(4*64)\\4n-256`
Since only option A simplifies to
`(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.