The Badgers remained unbeaten in their first eight games this season, building an eight-point lead at halftime.
Ben Brust added 16 points for Wisconsin and Josh Gasser had 11.
Wisconsin overcame the one-man show put on by Eron Harris, who scored 27 points. West Virginia slipped to 5-2.
The Badgers went on a 20-2 run in the first half to take control.
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