The co-hosts will play France or Morocco on Saturday in Brisbane in the last eight after making fairly light work of a toothless Denmark.
To cap a good night's work for the Matildas, talismanic striker and captain Kerr came on with 10 minutes left to huge cheers for her first action of the tournament after a calf injury.
The dangerous Caitlin Foord terrorised Denmark throughout and scored a fine first after being set up by Mary Fowler on 29 minutes.
Hayley Raso grabbed a second to make the game safe 20 minutes from time. Denmark were contesting their first knockout game at the World Cup since 1995 and they had the first sniff of goal, but Rikke Madsen just failed to connect with the ball while sliding in at goal.
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