The Iraqis will remain in Brisbane for their next match against four-time champion Japan on Friday, while Jordan will travel to Melbourne to take on Palestine.
Jordan had three shots on target, including two tame long-range strikes in the first half that were both easily handled by Jalal Hassan, but squandered a series of opportunities around the hour mark with a glut of possession in the attacking third.
Kasim earned the player of the match award.
Iraq captain Younis Mahmoud, the player of the tournament when Iraq won in 2007, lacked match fitness and was a touch off the pace up front. The 31-year-old striker, without a club contract but considering a move to Australia, was replaced after 73 minutes.
His impact on the game was minimal against a defense that only conceded three goals in six qualifying games, with his shot from 10 yards in the 16th minute deflected out in the challenge from Khattab. He was called for a foul as he leaped for a header on the edge of the box in the 71st.