The Tigers (6-4, 6-2 Southwestern Athletic Conference) moved ahead of the Bulldogs (7-3, 6-3) in the Eastern Division race and hold a tiebreaker advantage over Alabama State if they can beat Alcorn State next week.
Moore also ran for a 7-yard touchdown to open the scoring in the second quarter, and Sims's 7-yard scoring run made it 14-0 at halftime.
Alabama A&M halved its deficit in the third quarter, but Jackson State regained control with two big plays.
Bulldogs quarterback Deaunte Mason threw for three touchdowns, but the Tigers limited him to 17 completions in 40 attempts for 193 yards.
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.
|Mississippi Valley State||1-8||1-10|
|Prairie View A&M||8-1||8-2|