The original, self-released, version of the album was simply titled Joan Jett and was sold directly to concert-goers and record stores out of Laguna's trunk.

[4] When the album's European rights were secured through Ariola Records, "Hanky Panky" replaced "Wooly Bully" as the final song on Side 2.

When the album was issued through Boardwalk Records in the U.S. under the title Bad Reputation, the label stuck with "Wooly Bully" as the final track, making the "Hanky Panky" import version a collector's item.

Reviewing Bad Reputation in 1981, Robert Christgau of The Village Voice said, "Producers Kenny Laguna and Ritchie Cordell make the old glitter formula of readymade riffs 'n' blare sound suitable for albums, and they get plenty of help from reformed Runaway Jett, who has writing credit on four of these twelve tunes and comes on tuffer than any gurl in history.

"[6] Tom Carson of Rolling Stone found that Bad Reputation "is flawed by its literal-mindedness – the arrangements pump along gamely yet rarely swing or soar – and by some unresourceful material", but concluded that "in its mood and feel", the album "is a determined retelling of what sometimes seems like the truest rock story there is.