The lead changed hands 15 times and the game was tied 13 times.
A 7-1 run capped by a Jones 3-pointer gave the Racers a 57-50 lead with 2:36 left. The Eagles cut it to three twice, the last time on Collins' 3-pointer with two seconds left but Moss made a pair of free throws to end it.
Jones scored six straight points in a 10-4 run near the end of the first half as Murray State took a 29-23 lead at the break.
The Racers made 18 of 23 free throws, the Eagles 9 of 14.