# Whats the the algebraic expression for half the sum of p and 2p increased by three-forths q?

$= \frac{3}{4} \left(2 p + q\right)$
$\frac{1}{2} \times \left(p + 2 p\right) + \frac{3 q}{4}$
$= \frac{3 p}{2} + \frac{3 q}{4}$
$= \frac{3}{4} \left(2 p + q\right)$