Speedway is a typical lightweight Elvis romp from the ‘60s co-starring Nancy Sinatra who plays a sexy IRS agent who comes to audit racecar driver Elvis, whose business manager (Bill Bixby) is an idiot addicted to gambling. She succumbs to the King’s charms, natch. There are songs and a plucky homeless family living in their car. That’s the plot in a nutshell.

Carl Ballantine from McHale’s Navy and Gale Gordon, best known as Mr. Mooney from The Lucy Show are also part of the cast. One production number, for a song called He’s Your Uncle, Not Your Dad, takes place in an IRS office! It’s perfectly dreadful, if entertaining, drivel, but it does have two great numbers in it. Elvis does a rocker called Let Yourself Go that was released as a single, but flopped, which is a shame, because it’s one of my top favorite Elvis tracks. And Nancy Sinatra performs a swingin’ little number called Your Groovy Self, complete with minimalist mod choreography, It’s one of her best songs, certainly one of her best performances on film and the sole track by anyone other than Elvis to appear on the soundtrack album to one of his movies.

Two fun facts: First, Speedway was originally written for Sonny and Cher! Second, take a look at the nightclub: Quentin Tarrentino’s set design for Jack Rabbit Slim’s in Pulp Fiction was inspired by the decor of the Hangout, where Speedway’s in-crowd mix in a racecar booth ‘60s disco splendor.

The plot device that gets Nancy to sing is when Carl Ballantine, the maitre’d of the Hangout shines a spotlight on her, and for some arbitrary Elvis-movie logic, she has to “get up and do something.” This is what she does:
 

 
Below, Elvis in fine form, doing Let Yourself Go. This song was later re-used in the King’s 1968 comeback special: