Alvarez's single extended the San Diego native's hitting streak to 28 games, which is the second longest in school history. He could tie Keith Ginter's 29-game hitting streak (1997 season) vs. Oklahoma this Friday night.
The Islanders (16-28) plated their first run in the top of the third on catcher Blair Borque's solo home run over the right field fence.
Tech extended its lead to 7-1 in the bottom of the third on Jordan's RBI triple and he then scored on a wild pitch by reliever Lance Kral.
Junior Dusty Buck improved to 5-1 in the victory, while allowing just four hits and two earned runs in six innings of work.
Eric Martanovic (3-3) suffered the loss for the Islanders after giving up five earned runs on nine hits.
Tech will take the next four days off to prepare for a three-game home series with the Oklahoma Sooners beginning at 7 p.m. on Friday night.
Friday night's game has been designated as "Operation Sellout," as Tech tries to record its first home sellout since April 15, 2000.
The Tech Athletic Department will give away the use of a luxury suite for the entire Big 12 Tournament at The Ballpark in Arlington to one lucky fan in attendance on Friday night.