Delete musical from iPad with swipe

When you are in the Songs Tab of the music app, you can swipe across the song in the list and a red delete button will pop up. You can tap and hold down on an album or artist icon and the X to delete will pop up as well.

But ... Are you using iTunes Match? If you are, you may have to turn off iTunes Match in order for that to work. Another "but" .... I don't use iTunes Match so I am not sure of that helps or what happens when you turn it off.