Before trying to deal with strategies in dealing with rudeness and back talk...
1. Look at the child's situation and surroundings. Sometimes a change in environment will help.
2. Analyze the child's self esteem. Is the rude behavior being exhibited because that is the only way the child thinks he/she will be listened to?
Some things to assist you in dealing with back talk and rudeness:
1. Set a good example. Model respectful behavior.
2. Teach proper communication skills.
3. Jump on bad behavior. Establish behavior expectations and stick with them. Tell children that unacceptable behavior irritates you and is disrespectful. Ask children to reconsider their response and try verbalizing it again.
4. Enforce consequences of back talk. Teach the consequence that back talking will not get a child what he/ she wants. Send children to their room to calm down and they can come out when they are ready to talk. Don't be confrontational with your children.
5. Play act a scenario with a child and provide him/her with a chance to practice an appropriate response.
6. As appropritae for their age and environment, teach children how to handle disappointment without talking back.
7. Reward respectful behavior and appropriate actions/reactions. Tell your child how proud you are of them when they are polite and respectful.
I hope this helps.