Question

Write an algebraic expression that models the word phrase.

the product of 8 and the sum of a number x and 3

Answer 1

8(x+3) would be unsimplified, but if you want it simplified, the answer is below

8x+24

Answer 2

"Sum" means addition, so the sum of a number x and 3 is
x + 3

"Product" means multiplication, so the product of 8 and x + 3 is
8(x + 3)

You need the parentheses to show it's the product of 8 and x + 3.
If you wrote only 8x + 3, that would mean the product of 8 and x, then you add 3 to it, which is different from your problem.