Tech scored its first run in the bottom half of the first inning when Blankenship doubled with two outs, scoring Jon Slack who reached on a leadoff double.
Senior shortstop Gera Alvarez led off the bottom of the third with a single and right fielder Brent Fossum followed on failed fielder's choice by TCU hurler Kyle Shoemaker.
Blankenship added his second RBI of the game with a bloop single to right field, which scored Alvarez from second. Tech plated its second and final run of the inning on double play ground out by first baseman Bryon Smith.
TCU got on the board in the top of the seventh inning, as Steve Gooch left runners on the corners with two outs before being replaced by Steve Rowe. Rowe allowed a hit to right center field that just missed Carson's glove, scoring TCU's Marshall Wilson.
Carson led off the bottom half of the seventh with a standup double and Joel Buchenauer followed with a bunt single.
Slack lined out to TCU shortstop Levi Robinson and Robinson then turned a double play, catching Buchenauer retreating back to first. Freshman Madison Edward pinch hit for Fossum and delivered a two out single to center field, scoring Carson and Alvarez.
Rowe retired six of the last seven TCU batters to garner his first save of the season.
Gooch (2-0) got the win for Tech after lasting 6 2/3 innings, while allowing just one earned run and four hits.
Tech will wrap up play in the 2002 Lone Star Classic with a game against Southwest Texas tomorrow afternoon.