We have to translate the expression “the sum of three more than a number and one half of the number.” into numeric form.
The expression refers to a number of which we don't know its value, so it is a unknown variable. We will call this number "x".
We have a sum, so we have more than one term. One term is "three more than a number" and the other term is "one half of the number".
"Three more than a number" is equivalent to x+3, as no matter which value takes our number x, this expression will always be 3 more than the number.
In the same way, "one half of the number" is equivalent to 1/2*x, as we are talking of the same number as the previous term.
If we add both terms, "x+3" and "1/2*x" we get:
Answer: (x+3) + 1/2*x [NOTE: this expression is not simplified].