709 ride
n.— «The FAA was alerted, and looked things over, even though the incident did not meet the definition of an accident under Part 830 of the NTSB regs. The FAA inspector assigned required that the pilot take what is called a 709 ride. That’s a procedure under the regulations by which a pilot has to demonstrate his or her competence in an area of flight operations.» —“The Pilot’s Lounge #102: The Last 10 Feet” by Rick Durden AVWeb July 16, 2006. (source: Double-Tongued Dictionary)
Further reading
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The “checkride” is a provision of CFR 44709 (“709 ride” for short, and previously a Part 609 checkride or “609 ride” until the regulation was renumbered a few years ago).
http://uscode.house.gov/download/pls/49C447.txt
Typically, it refers to a pilot recertification after an incident that calls his competence into question, like a crash.