You cannot simply extinguish your obligation. If the state takes them, you will still be responsible for payment of support and such. I'm hoping this is a joke, because most of the people on here and fighting tooth and nail trying to keep their children.
You created these children, and it is presumed you raised them. If they are obnoxious, you need to look into the mirror and figure out why and then do something about it rather than think you can hand them over to the government to become someone else's problem -- or just let them become obnoxious adults. Give them consequences for their poor behavior/attitude. Take away cell phones, vehicles, computers, internet, privileges, etc. Don't buy them anything extra, except to reward good behavior. Stock the house with health food and don't buy them any junk except as a treat for good behavior (that includes cutting out soda!). Seek resources for assistance, starting with the school counselor and social services. You cannot legally escape your parental responsibilities. If you neglect, abuse, or abandon the children you can be charged criminally. Social services will only take them if you are deemed unfit, and that will haunt you forever, nevermind the damage you would be doing to your future relationship with them. Plus, as my colleague has answered, you would still be financially responsible for them even if social services agreed to take them. If they are super bad, get the police and juvenile system involved. Get control of the situation, be a parent, and make every effort to get your kids back on track.
Responses are for general information purposes only, and are based on the extremely limited facts given. A consultation with an attorney experienced in the area of law(s) indicated in the question is highly recommended. Information and advice given here should not be relied upon for any final action or decision, as the information is limited by its nature to the question asked and the fact(s) presented in that question. THIS RESPONSE DOES NOT CREATE AN ATTORNEY/CLIENT RELATIONSHIP, particularly considering that the names of the parties are unknown.
Call Nevada's Department of Health and Human Services, Division of Child and Family Services: (702) 455 5444. Tell them you are having trouble coping with caring for your children. That agency will transfer your call to a caseworker who will assist you. If the caseworker were to determine - after a thorough investigation - that the best interests of your children would by served by your voluntarily relinquishing your parental rights, then the caseworker will help you accomplish that. If the caseworker were to determine that another course of action would be in the best interests of your children, then the caseworker would guide you in that direction.