Is there a quick way to delete multiple songs from iPhone

Yup, you can swipe the tracks, albums, or artists to delete them, like spidertaker said. That works great.

Another thing you can do, if you want to delete ALL of your downloaded music at the same time, is go to Settings > General > Usage on your iPhone, and select "Music." Then just press Edit, and delete it. That deletes every single downloaded song in one shot, if you want to start over.

I have a Gateway computer. I connected my iPhone 6 (iOS 10.3.3) to my computer, iTunes popped up, I went to my music, chose albums category, I clicked the stop and dragged this blue square or rectangle shape all the way down, I then right clicked and chose delete from library, and I deleted all my songs. Now, I can start over and chose the songs that I actually like.

I know you can delete in the following ways:

Swipe left to delete an individual song

Swipe left to delete an entire album

Swipe left to delete an entire artist

I don't think you can delete multiple songs at once without deleting the entire album or artist.

I hope that answers your question.

*Disclaimer - of course this only works on iOS 5

Well keep in mind that iTunes Match will actually delete music as it needs too if you run out of space. Supposedly it will delete tracks that are either not played often or downloaded the longest ago. At least that's what I found online. Can't remember where.