King's total came on 9 of 13 shooting and more than doubled his previous best output of eight points. He also grabbed 12 rebounds. Adams finished two points off his career high.
Trailing by one, King scored two baskets and Adams added a 3-pointer as the Rattlers (2-5) used a 7-0 run to break away early in the game.
Samuel Dorismond scored 19 points for Florida Memorial (1-7). Dorismond and Antwan Baggs dropped three 3-pointers in the final 1:46 as Florida Memorial closed to within 18 points. The Lions shot 21 3-pointers, hitting only eight, four each by Dorismond and Baggs.
Adams, Chris Rozier and Richie Spiller hit six free throws down the stretch as the Rattlers reached 100 for the first time this season.