The Cardinals, who also have won their last seven straight home games, have won seven straight for the first time since the 2010-11 season.
Ball State shot 50 percent from the field, hitting 23 of 46, and knocked down 11 of 27 from behind the 3-point arc. The Cardinals also dominated on the boards, pulling down 39 caroms, 13 more than the Tigers.
The game was tied at 19-19 with 4:37 left, but Mallers scored on a layup and Kiapway hit back-to-back 3-pointers to make it 27-19 and the Cardinals pushed that lead to 31-23 at intermission.
Paris Collins finished with 17 points to lead Jackson State (3-10), which hit just 21 of 58 shots from the floor (36.2 percent).
Mannion, who recently reclassified and is ESPN's No.11 overall player in the class of 2019, chose Arizona over Marquette.
He'll fit in with Sean Miller's plans for a faster tempo on offense.
Top recruits are starting to take their official visits, meaning it's time to make some predictions about where they're leaning.