The game was part of the Chicago Invitational Challenge.
Southern Illinois had a three-point lead late in the first half before the Boilermakers closed the period on a 13-5 run. Moore took charge in the second half and finished with 10 field goals in 18 attempts.
JaJuan Johnson added 18 points for Purdue, which is unbeaten in five games.
The Salukis (2-3) were paced by Justin Bocot's 17 points. Southern Illinois turned the ball over 25 times.
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