Insolence is a rude, disrespectful act. The teenager's insolence got her in trouble with her teachers.
Insolence is an act of or the trait of being a jerk, especially to someone you should respect. Insolence is what rude and stuck-up people show off every chance they get. They ignore their parents, walk out on dinner bills, elbow old people out of the way, and tell professors their clothes look cheap. Insolence is a trait to get rid of, not flaunt. Teenagers often embrace insolence when they get to the age when they think their parents are stupid. (It usually wears off.)