Darius Carter added 11 points for the Shockers (18-0, 5-0 MVC), who equaled their best-ever start in conference play dating to 1964-65.
Wichita State earned the win despite subpar performances from leading scorers Cleanthony Early and Ron Baker, who managed a combined 13 points.
Bradley (6-12, 1-4) was led by Walt Lemon Jr. with 12 points.
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