How to delete photo albums on iPhone?

I updated to IOS 8 and now I have 9,000+ pictures from my computer that is all my moms photos. I don't want my moms photos on my iPhone. I tried to delete them but they won't let me delete them, I tried doing it on iTunes as well and iTunes won't let me either. How do I delete all these photos?

Added (1). I went into my photo app, went to edit and it doesn't give me an option to delete the album. No way in hell am I deleting them one by one.

Added (2). oh dear god, I don't want my moms hideous photos on my ipod… Lol

Its because your running iCloud on both your phone and your mac. Its now impossible to delete it unless the user of the iCloud account logs on and changes the settings on who views what photos.

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