Question

what is the first step in isolating the variable in this equation? (½)p + 75 = 100 choose one option a subtract 75 from both sides. b subtract ½ from both sides. c divide both sides by 75. d divide both sides by ½.

Explanation:

To isolate the variable $p$ in the equation $\frac{1}{2}p + 75 = 100$, we follow the reverse order of operations (PEMDAS/BODMAS). First, we eliminate the constant term added to the variable term. The constant 75 is added to $\frac{1}{2}p$, so we subtract 75 from both sides to start isolating $p$.

Answer:

A. Subtract 75 from both sides.