Career
Evaluarjuk was first elected to the Northwest Territories Legislature in the 1975 Northwest Territories general election winning the new electoral district of Foxe Basin. He was re-elected to a second term in the 1979 Northwest Territories general election. Evaloarjuk ran for a seat in the 1995 Northwest Territories general election.
Evaloarjuk served a single term in the Legislative Assembly until his district was abolished in 1999 when Nunavut was created from the Northwest Territories.
He ran in the first Nunavut general election in the new Amittuq Nunavut electoral district. He was defeated by Enoki Irqittuq in a hotly contested race finishing second.
After his defeat, he became Vice President of the Qikiqtani Inuit Association. He died from cancer in Ottawa on July 3, 2002.