How to add a cd from computer onto iPhone?

I have a cd that is not in the Apple Music library. I use iCloud as well but when I added the cd to iCloud (which is in my iTunes library on my computer), the songs are unplayable on my iPhone. So that didn't work. I tried to drag the songs into my phone when I plugged my phone into my computer, like I did before this whole Apple Music thing was released. That does nothing. I don't know what to do. I want to listen to this cd on my phone. Is this even possible anymore?

When you put your CD into your computer, bring up iTunes. There should be an option to download the songs from the CD. Then, since iTunes won't recognize the CD and can't auto-fill the info (song title, artist, etc), manually fill that out. When you've got that done, plug in your iPhone and sync it.