Christie struck in the 27th minute of his competitive international debut to put Ireland ahead, jinking in from the wing before stroking home with the outside of his right boot.
Keane was on hand to fire home in the 49th after Jonathan Walters' cross was turned onto his own post by Erin Barrett and two minutes later the Ireland striker converted a controversial penalty after Wes Hoolahan went down easily in the area.
Long, who replaced the tiring Keane, climbed highest to head home in the 79th eight minutes after coming on to help the Irish make the most of Scotland's defeat as they climbed above them in the battle for a top three finish.
(Writing by Philip O'Connor; Editing by Ken Ferris)
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