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.
The Hawkeyes are in good hands as they head toward the summer, with a bevy of strong leaders on board and action picking up on the recruiting trail.
Steve Spurrier was in his second season at South Carolina 10 years ago, building a program that became a national power several seasons later.
Here's the quarterback situation at Utah, where they Utes are looking to replace Travis Wilson.
Paul Finebaum offers his take on Texas A&M assistant coach Aaron Moorehead's apology for a series of tweets about loyalty after another ESPN 300 player, Tate Martell, decommitted from the school.
Virginia sophomore quarterback Nick Johns says he is transferring.
Judge grants convicted child molester Jerry Sandusky appeals hearing.
|Mississippi Valley State||1-8||1-10|
|Prairie View A&M||8-1||8-2|