Edwards had seven receptions for 82 yards, including scoring passes of 28 and 9 yards that helped give the Miners a 24-17 lead at halftime. Josh Bell also scored for UTEP (2-6, 1/3 Conference USA) on a 14-yard run.
Lamaison was 11 of 16 for 157 yards before leaving in the second quarter with a hamstring injury.
Ryan Griffin completed 28 of 44 passes for 363 yards and two touchdowns for Tulane (1-6, 1-2). Justyn Shackleford had six catches for 130 yards, including a 31-yard touchdown; Ryan Grant added six receptions for 115 yards, including a 15-yard TD.
The Green Wave had 440 yards of offense, just 5 less than UTEP, but managed only a field goal on five second-half possessions.
Running back Devontae Booker had 124 combined yards and a touchdown, and Utah spoiled Jim Harbaugh's Michigan coaching debut, beating the Wolverines 24-17 on Thursday night.
Arizona star linebacker Scooby Wright will have an MRI after injuring his left knee in the first quarter of the Wildcats' season-opening 42-32 win over UTSA on Thursday night.
Trevone Boykin threw for 246 yards and a touchdown and ran for 92 yards and another score to help No. 2 TCU outlast Minnesota 23-17 on Thursday night.
All-American defensive end Shawn Oakman and safety Orion Stewart have been suspended for Baylor's season opener Friday against SMU for a violation of team rules, a school spokesman told ESPN.com.
Ohio State quarterback Cardale Jones is "doing fine" after he was released from the hospital Wednesday night after being treated for symptoms related to a migraine headache.
East Carolina receiver Trevon Brown will miss three games after being placed on probation for a violation of the school's student code of conduct.