Question

which algebraic expression represents the phrase \seven more than half of a number\?
$-7 + \frac{1}{2}x$
$\frac{1}{2}x + 7$
$-\frac{1}{2}x - 7$
$7 - \frac{1}{2}x$

Explanation:

Step1: Define the unknown number

Let the unknown number be $x$.

Step2: Express half the number

Half of the number is $\frac{1}{2}x$.

Step3: Add seven to the expression

Seven more than half the number means adding 7 to $\frac{1}{2}x$, so $\frac{1}{2}x + 7$.

Answer:

$\frac{1}{2}x + 7$