Mason-Griffin scored 38 points and Davis added 24 for the Sooners (12-8, 3-3 Big 12), who are 10-0 at home and 2-8 on the road.
Iowa State (12-8, 1-4) had six double-figure scorers, led by Diante Garrett's 17.
Craig Brackins, who had been averaging 16.0 points and 7.8 rebounds, was held to 13 points and six rebounds.
Oklahoma led by 18 points, but Iowa State cut the deficit to three points four times in the second half, the final time with 6 seconds left. The Sooners clinched it by making 7 of 8 free throws in the final two minutes.
Louisville coach Rick Pitino said he doesn't "have time to figure out what" Kentucky coach John Calipari meant in recent comments that appeared to be a jab at the Cardinals' program.
NC State lands guard Markell Johnson, who has reclassified into the class of 2016 after being ranked No. 48 in the ESPN 100 in the class of 2017.
Pirates catcher Jacob Stallings, the son of University of Pittsburgh basketball coach Kevin Stallings, made his major league debut on Sunday night.