This self checking worksheet sets a radical equal to a variable and a coefficient: Sq rt(10x+1) = 2x-7. To solve, the student will need to know how to multiply a binomial (FOIL) as well as factor a trinomial. There are solutions and extraneous solutions. The students are to ignore the extraneous solutions, but they are in the answers for the riddle to trick the students and keep the students checking each 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 headline from a newspaper that was written poorly.