After Nick Cook's dunk gave the Gamecocks (1-1) a 47-46 lead, Williams, who finished with 16 points, hit a 3-pointer and another basket to make it 52-46 with 2:54 remaining.
Rackley, who led Jacksonville State with 17 points, hit five free throws in the final minute and Williams added two.
The Gamecocks led by 10 points, 36-26, early in the second half before the Eagles (1-1) rallied to take a 44-43 lead with 6:42 left on a jumper by Daylen Harrison, who finished with 14 points.
Derek Thompson, who made four 3-pointers in Eastern Michigan's win over Rochester College in its opener, made two during the Eagles' surge.
Jacksonville State made just 3 of 19 behind the arc in the game.
Guard Naz Mitrou-Long, whose 2015-16 season ended in December due to hip problems, has been granted a hardship waiver for the coming season, Iowa State said.
As the Sooners look to life without superstar Buddy Hield and his sidekicks, it's clear their unseasoned players will need to grow up fast.
The Central Intercollegiate Athletic Association says it won't move its headquarters, its basketball tournament or other conference championships from North Carolina, despite
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