I want to get from my hotel in Vegas to the airport in the cheapest way possible, but how?

Your hotel is pretty far out from the airport. There are several shuttle services from McCarren, and they tend to be very reasonable in price, but I'm not sure if they go out that far. Check the airport website for Ground Transportation and you might be able to find one that will get you. Your hotel would probably have that information as well. You can also probably take public transit, but it would involve making a few transfers and would take a while. Your hotel could probably give you the route you'd need to take for that as well.

Your hotel isn't in Vegas. It's in Henderson, and not a hotel that most tourists would even pick. You could get to the airport using 3 different buses and close to an hour and a half. Check with the hotel concierge (or front desk if they don't have one) who can make suggestions.

CAT(bus) - $2 http://www.rtcsnv.com Catch the #115 then transfer to the #201(Tropicana) then to the #108(Paradise) - around 1hr 20min or Catch the #115 then transfer to the #212(Sunset) then to the #109(Maryland Pkwy) - around 1hr 30min Las Vegas - public transportation http://www.lasvegasadvisor.com/transport.cfm