Kansas State took the early lead when Brad Anzman led off with a double in the top of the first and then scored on Ryan Baldwins sacrifice fly. The Wildcats first lead of the weekend, at 1-0, was short-lived.
Texas answered in the bottom half of the frame by plating two runs, behind Majewskis RBI double and a sacrifice, squeeze-bunt that scored another run from Teagarden.
The Longhorns added five runs in the second, including four with two outs, on four hits. The inning was punctuated by Eric Sultemeiers bases-loaded, two-RBI double and Teagardens two-run single.
Simmons, meanwhile, retired 11 in a row as Texas increased its lead to 12-1 by the end of six.
Over the weekend, Nebraska and Texas A&M each won two-of-three -- the Huskers from Tech and the Ags from Missouri. Those results combined with the UT sweep gives the Horns a one-game edge over second-place Nebraska (15-6) and a two-game cushion over third-place A&M (14-7) with two series left in the Big 12 race. The league-leading Longhorns open a three-game series at Kansas Friday before finishing the regular season against Texas A&M.