Question

Use properties of operations to write an expression equivalent to the expression p/6 + (q+8).

A. p/6 + 8q
B. 8(p/6 + q)
C. (p/6 + q) + 8
D. 6p + q + 8

Answer 1

To write an expression equivalent to p/6 + (q+8), we distribute p/6 to both terms inside the parentheses and combine like terms.

Step-by-step explanation:

To write an expression equivalent to p/6 + (q+8) using properties of operations, we can distribute the p/6 to both terms inside the parentheses. This gives us (p/6) + (q/6 + 8). Now we can combine the like terms p/6 and q/6 to get (p+q)/6 + 8. Therefore, the correct expression is (p+q)/6 + 8, which corresponds to option C.