Answer: 8 * ( 4 + x )
Step-by-step explanation:
To translate the expression "8 times the sum of 4 and a number x" into an algebraic expression, we need to break it down step by step.
First, let's start with the phrase "the sum of 4 and a number x." This means we need to add 4 and x together.
So, the sum of 4 and x is represented as 4 + x.
Next, we have the phrase "8 times the sum of 4 and x." This means we need to multiply 8 by the sum of 4 and x.
So, 8 times the sum of 4 and x is represented as 8 * (4 + x).
Therefore, the translation of the expression "8 times the sum of 4 and a number x" into an algebraic expression is 8 * (4 + x).
In this expression, x represents the unknown number, and the expression as a whole represents the result of multiplying 8 by the sum of 4 and x.