# How do you translate "Twice a number increased by the product of 3 and 8" into an algebraic expression?

Jul 2, 2018

$2 x + 24$

#### Explanation:

Let the number be $x$.

Twice a number suggests that the number has been multiplied by $2$, giving the number $2 x$.

increased by the product of 3 and 8 suggests that $3 \cdot 8$ is added to the number. This means that the new number is $2 x + 3 \cdot 8$.

We know that $3 \cdot 8 = 24$, so the new number is:

$2 x + 24$