Hill was 17 of 31 for 278 yards and an interception and ran for 36 yards. Jamaal Williams ran for 79 yards on 14 carries for BYU (3-2) and Justin Sorenson kicked a 27-yard field goal.
Chuckie Keeton and Craig Harrison threw touchdown passes for Utah State (3-3). Keeton left with a knee injury with 4:06 left in the first quarter after a third-and-15 running play. He was on the sideline on crutches during the second half as the Aggies' nine-game home winning streak ended.
Leading 17-7 at halftime, BYU struck quickly in the third quarter. Hill hit Matthews with a 6-yard fade pass to the corner of the end zone early in the quarter, and Matthews then hauled in a 43-yard pass with 5:52 left in the quarter to make it 31-7.
Harrison was 5 of 5 passing with one TD on the season before taking over for Keeton. Harrison found Ronald Butler on an 8-yard pass for a late-game touchdown. The junior had 185 yards on 18-of-41 passing and ran for 38 yards. Joey DeMartino ran for 80 yards on 16 carries.
BYU scored on the first play from scrimmage when Van Noy grabbed Keeton's pass at the line of scrimmage and ran 15 yards untouched for a touchdown. Just moments later, Utah State stripped Hill of the ball, with Brian Suite recovering the fumble. Three plays later, Keeton found Travis Van Leeuwen with a 7-yard TD pass.
The Cougars took a 17-7 halftime lead after Hill found Matthews for a 30-yard touchdown pass with 10:40 to play in the second quarter.
Van Noy's score was only the third time in 22 games that Utah State had allowed a first-quarter touchdown, dating to the 2011 season. It was Keeton's second interception of this season.
Florida State coach Jimbo Fisher hopes quarterback Sean Maguire is ready to go full speed by the middle of June.
Graduate transfer quarterback Davis Webb has officially joined California, giving the Golden Bears an experienced option to replace No. 1 overall NFL draft pick Jared Goff.
First-year football coach Dino Babers, hired by former Syracuse AD Mark Coyle, is on the committee that will search for Coyle's replacement.
Hugh Freeze has some major holes to fill on offense with the departures of Laremy Tunsil and Laquon Treadwell, but there is Chady Kelly and good depth.
After transferring in from Montana State, Dakota Prukop has a checklist he's working from as he prepares to compete for the Oregon job.
The destination for Week 6 of the Big 12 Ultimate Road Trip is unanimous, as all three conference reporters would head to the Red River Rivalry.