Yarden Garzon added 16 points for the Terrapins (7-0), who used a 20-2 run spanning halftime to secure the final game of their season-opening homestand.
Raymond Moore III accounted for both scores for Morgan State (4-8, 1-4 Mid-Eastern), throwing a 30-yard touchdown pass to Justin Perry and keeping another on the ground.
Since starting in July, athletic director Jim Smith has whipped up enthusiasm and filled seats for Terps sports. But building a more competitive budget will be a significantly tougher challenge.
Addi Mack added 15 points for the Terrapins (5-0) despite exiting for about three minutes of the third quarter to receive treatment on an apparent left ankle injury.
The senior started at the Naval Academy as a linebacker, then gained 40 pounds in one offseason but kept his speed. Now the all-conference weight room freak is gunning for the NFL.