BYU (4-2, 3-0) took control in the third quarter with a pair of time-consuming scoring drives. The Cougars ran 24 plays over 11 minutes, 44 seconds and scored on both possessions to take a double digit lead.
UNLV, meanwhile, ran eight plays for 13 yards in the third and was held scoreless in the second half until the final two minutes of the game. Max Hall capped the opening drive of the half with a 4-yard scoring strike to Vic So'Oto.
Following a three-and-out for UNLV, the Cougars went on a 14 play drive that resulted in a 27-yard field goal from Mitch Payne for a 17-6 lead.
Unga, a bruising 6-foot, 220 pound red-shirt freshman, finished the scoring with a 5-yard touchdown run with 3:15 to play. The run highlighted a 15 play, 81 yard drive that drained 8:49 off the clock.