The Raiders (3-6), who trailed 31-26 at halftime, got no closer than nine points the rest of the way and have lost three in a row.
Azotam had 12 points and Jackson 11, and both had 10 rebounds for the Bobcats, who out-rebounded Colgate 46-34.
Quinnipiac also had a lot more chances at the free-throw line, making 25 of 38 to the Raiders' 10 of 15.
Florida State's student government has passed a resolution discouraging Seminoles fans from wearing Native American headdresses at games.
The second annual Gavitt Tipoff Games, eight games between members of the Big East and Big Ten to be played Nov. 14-18, will feature Villanova at Purdue in the opener.
Michael Lewis is leaving his assistant coaching job at Butler to take the same position at Nebraska under Tim Miles.