Question

$\frac{1}{2}x + 4\frac{1}{2} + \frac{1}{2}x - \frac{1}{2}$?
a $\frac{1}{2}x + 4\frac{1}{2}$
b $x + 5$
c $x + 4$
d $\frac{1}{2}x - 4\frac{1}{2}$

Explanation:

Step1: Combine like terms for x

We have \(\frac{1}{2}x\) and \(\frac{1}{2}x\). Adding them together: \(\frac{1}{2}x+\frac{1}{2}x = (\frac{1}{2}+\frac{1}{2})x=1\times x = x\)

Step2: Combine constant terms

We have \(4\frac{1}{2}\) and \(-\frac{1}{2}\). Adding them together: \(4\frac{1}{2}-\frac{1}{2}=4+\frac{1}{2}-\frac{1}{2}=4\)

Step3: Combine the results

After combining like terms for \(x\) and the constant terms, we get \(x + 4\)

Answer:

C. \(x + 4\)