The Mavericks jumped out on top, 3-1, in the top of the third on the strength of a Ryan Roberts' triple. But Texas would immediately respond with two runs of its own with J.D. Reininger's sacrifice fly and Sultemeier's RBI-single.
Texas took the lead for good in the bottom of the fourth, starting with Omar Quintanilla RBI-single. Quintanilla, 2-for-3 on the day, extended his hitting streak to 13 games dating back to last season. Texas led 5-3 at the end of the fourth and added another run in the fifth.
UTA drew within 6-5 with two sixth-inning runs but, for the third time in the contest, Texas would reciprocate in full. Majewski's two-run triple gave the Horns an 8-5 advantage.
Before moving on, the Movin' Mavs manufactured one run on three base hits to produce a run in the seventh.
Texas hosts Southwest Texas State in a 2:30 p.m. game at Disch-Falk Field on Tuesday.