The American Airlines Baggage policy » explains to travelers what they can and cannot bring on their flight, along with any associated costs. One carry-on bag and one personal item, such as a small backpack or purse, are free for each passenger. There should be room for the carry-on in the overhead bin. The price of checking a bag will vary depending on your location level of service, and frequent flyer status, among other things. There are weight and size restrictions for checked baggage so if your suitcase is too big or heavy there can be extra costs.