Price was just a point short of his career high in reaching double figures for the 11th time in his last 13 games. He made six of his nine 3-point attempts. The Hilltoppers (5-4) shot 48.9 percent, including 11 of 23 from the arc.
Clarke Rosenberg led the Cougars (2-10) with 20 points. Chicago State has lost all seven of its road games.
Chicago State led for much of the first half and trailed by only four at halftime after shooting 48.1 percent, making 6 of 13 3-point attempts. But in the second half, they made only 2 of 10 from long distance and shot 33.3 percent.
Western Kentucky went up by 10 with 15:36 remaining and the Cougars got within six only once after that.