Radicals & Absolute Values Practice Test

A point $P$ is on a number line at coordinate $x$. If the distance from $P$ to $4$ is $7$, which equation represents this situation using absolute value, and what are the possible values of $x$?

Which expression is equivalent to $\sqrt{12}-\sqrt{27}$ in simplest radical form? Incorrect paths include combining under one radical or simplifying only one term.