In 2002, after redistricting, Albertson's seat became the 10th District. That year he faced a Democratic primary challenge from Robert Bradshaw. Albertson won 70%–30%. He went on to defeat Republican George E. Wilson, 54.5%–45.5%, in the general election. In 2004, Albertson had no primary challengers. He beat marketing executive and former Lenoir County Schools board member, Republican Rich Jarman, in the general election, 62%–38%. He again faced no primary challenge in 2006 and went on to defeat Republican Adrain Arnett in the general election, 64.5%–35.5%. In his last election in 2008, Albertson was unopposed in both the primary and general elections.