The Panthers (6-11, 1/3 Southwestern Athletic), who ended a six-game losing streak, never trailed after Eleby's jumper gave them an 8-7 lead 4:46 into the game.
Bryant Purvis had 20 points and 11 rebounds for the Tigers (0-14, 0-5), who have lost 24 of their last 25 games dating to last season.
Prairie View A&M led 44-36 when it went on an 11-1 run over the next 3:10 to take permanent control. Blair had nine points during the surge, which ended with his layup that gave the Panthers a 55-37 cushion with 4:06 remaining.
ESPN's Dan Dakich joins The Paul Finebaum Show to discuss the SEC's presence in the NBA Draft.
Ted Kapita was the top-rated recruit from West Virginia in the class of 2015 and recently played at DME Academy in Florida.
With the Suns drafting Tyler Ulis, they now have five guards on their roster who attended Kentucky.