# How do you write an algebraic expression that models the word phrase "the product of 8 and the sum of a number x and 3"?

$8 \left(x + 3\right)$
"The product of $8$ and" means $8$ is going to be multiplied times another quantity. "...the sum of a number $x$ and $3$" means that $8$ is going to be multiplied times $\left(x + 3\right)$.
This is represented by $8 \times \left(x + 3\right)$, which simplifies to $8 \left(x + 3\right)$.