To be fair, who would want to make their Hollywood Palace "singing and dancing debut" on the same episode as Sammy Davis Jr and The Supremes? Luckily, no one cared if Raquel could sing, but oh! how she dances -- and since she's our resident sex goddess, when I saw this episode posted in its entirety over at Classic Television Showbiz, I had to post immediately. She's around the 4:15 mark - I'm not going to spoil it!
You can catch the rest of the clips here.