AllMusic critic
Stephen Thomas Erlewine describes "Rag Mama Rag" as a "rollicking uptempo number." Hoskyns claims that the song sounds like it "came straight out of turn-of-the-century New Orleans." Ward describes the song as a "wonderful, swinging song with some of the Band's most perfect playing (which is saying something)..." DeRiso commented on how the song sounds improvised at first but on closer listen the "song rambles along with a focused, air-tight groove" with the group in "complete control" even while making the song sound like "a goof."
Record World said that "the best rock band in the country sounds magnificent."
Billboard called it a "down-home entry" with "first rate" performance and production. ==Performers==