How do you delete apps from the iPod touch 2nd generation?

I believe the following will work. On the home screen press and hold any app icon until all of the apps start jiggling. Then tap any app(s) that displays an x on its icon. Press the home button to stop the jiggling. Note that there are built in apps from Apple that won't display the x and cannot be deleted.

A later version of iOS (iOS 10) allows many of the built in apps to be deleted, but you won't be able to update to that on a 2nd generation. The workaround is to move the apps that you don't want into a folder on a later home screen where they are out of sight.