Kyle Bullinger added 14 points, Daviin Davis 13 and Kellen McCoy 12 for the Wildcats (1-1), who shot 57 percent from the field but committed 23 turnovers.
Chris Jones scored 17 points for Prairie View (0-2), while Derek Johnson, Darnell Hugee and Dorian McDaniel each had 11.
With Weber State clinging to a narrow lead, Bullinger and Davis combined to score the team’s final 13 points, including eight consecutive free throws.