الحكومة العراقية المؤقتة
Albakaa worked at Al-Mustansiriya University from 1983 to 2003 and is the former President of the University. In June 2004 he was chosen as a Minister of Higher Education and Scientific Research for the Iraqi Interim Government. Albakaa was a member of the Iraqi National Assembly in 2005, and a member of the Iraqi Constitution Writing Committee.