Jacksonville State had a 51-33 advantage on the boards with Watson grabbing nine. The Gamecocks also made 23 of 30 free throws.
Fort Valley State was limited to 27 percent shooting (14-52) and was just 3 of 17 from 3-point range.
Moore and Mitchem hit treys on Jacksonville State's first two possessions of the second half to make it 44-22. Mitchem's came after a pair of offensive rebounds. The Gamecocks finished with 17 offensive boards, allowing Jacksonville State to get up more shots to off-set 40 percent shooting (25-62).