Question

Which expression is equivalent to 1/4 n - 16

a 1/4 (n-4)

b 1/4 (n-64)

c 4(n-4)

d 4(n-64)​

Answer 1

9514 1404 393

Answer:

b 1/4 (n-64)

Explanation:

Multiplying the expression by 1 does not change its value:

= (1/4)(4) × (1/4n -16)

= (1/4) × (4(1/4n -16)) . . . . . associative property

= (1/4) × ((4/4)n -4·16) . . . . distributive property

= (1/4)(n -64) . . . . matches choice B