This self checking worksheet is very challenging: Sq rt(4-2x)= 1- sq rt(3-x). To solve, the student will need to know how to FOIL using radicals as well as factor a trinomial. There are solutions and extraneous solutions. The student must check their work and know which is the actual solution and which is the extraneous solution. Not all problems will have an actual solution (both may be extraneous). Some problems will have one actual solution and one extraneous solution. Others will have two actual solutions with no extraneous solutions. When finished, the student will discover a newspaper headline which was worded very poorly.