Young had five of Houston's six 3-pointers and Thomas also grabbed eight rebounds. Leon Gibson had 12 rebounds as Houston (9-3) took control early.
Chicago State (3-11) led briefly in the first three minutes, but Houston raced to a 40-25 halftime lead and was ahead by as many as 27 points in the second half.
Houston shot 45 percent in each half while Chicago State finished at 34 percent from the field.
ESPN's Dan Dakich joins The Paul Finebaum Show to discuss the SEC's presence in the NBA Draft.
Ted Kapita was the top-rated recruit from West Virginia in the class of 2015 and recently played at DME Academy in Florida.
With the Suns drafting Tyler Ulis, they now have five guards on their roster who attended Kentucky.