There is a bus that run's between Sam's Town and the Strip. I took it when I was there in September. I don't remember the phone number for the bus line but I remember catching it at Harrah's. Here is some info on it....
and a website that I found...
Las Vegas City Transportation Services
Sam's Town to Stardust/Strip Begins 9:30 a.m. every hour on the half hour until 10:30 p.m. Stardust/Strip to Sam's Town Begins 9:00 a.m. every hour on the hour until 10:00 p.m. Sam's Town to Downtown area Begins 8:00 a.m. every hour on the hour until 11:00 p.m. Downtown area to Sam's Town Begins 8:30 a.m. every hour on the hour till 11:30 p.m. Sam's Town to Bourbon Street Begins 9:45 a.m. every hour on the 45 min. until 10:45 p.m. Bourbon Street to Sam's Town Begins 9:15 a.m. every hour on the 15 min until 10:15 p.m. Sam's Town to San Remo Begins 9:15 a.m. every hour on the 15 min. until 10:15 p.m. San Remo to Sam's Town Begins 9:45 a.m. every hour on the 45 min. until 10:45 p.m. Sam's Town to Harrahs/Strip Begins 10:00 a.m. every hour on the hour until 10:00 p.m. Harrahs/Strip to Sam's Town Begins 9:30 a.m. every hour on the half hour till 10:30 p.m.