Final answer:
The algebraic expression for "five halves of x minus half of y" is written as \(\frac{5}{2}x - \frac{1}{2}y\).
Step-by-step explanation:
The algebraic expression that represents "five halves of x minus half of y" is \(\frac{5}{2}x - \frac{1}{2}y\).
To arrive at this expression, you multiply x by five halves, or \(\frac{5}{2}\), and y by one half, or \(\frac{1}{2}\). Then, you subtract the second product from the first one, which is standard practice in algebra to maintain equality.