Does my mom verbally and physically abuse me?

Hello people. i'm 13 years old. I'm not going to go from beginning to end because then i would be basically writing a whole book but i'm going to just say what i should. my mom works very hard i guess. she works everyday full time. i just feel like my mom doesn't know how to be a responsible NORMAL mom. she never says i love you to me. i dont even remember the last time she said that. i work so hard in school and now i'm in honors for next year and it seems like she doesn't even care. she's just happy for like a minute and then she doesn't care. my twin sister and i always stay in our apartment all dame day since my mom has a full time work. i dont live with my dad since my parents are divorced so i cant go over to his house because he lives too far away. i mean my mom does bring us out sometimes but that's like once a week and all she does is just drop us off in the mall. she never spends quality time with us. and dont get me wrong, i know it's because she's just out of energy and stress but she never even tries. all she does when she gets back home is eat and sleep. usually she drinks like a whole cup of whiskey and then falls asleep. now let's get to the main part. my twin sister and i get a long but the times we dont, it gets REALLY ugly. whenever we argue it always ends up with us physically fighting and my mom never even tries to break it up. she use to try to break it up but now she never tries. the other day my sister and i got into a fight and all my mom said was, "let's see who dies first. one of you guys need to die anyways". and fuuuking shiiiiiiit like that and it PISSES me off. and whenever i get into a fight with my sister, my mom is ALWAYS on her side no matter what. i dont even ******* know why. i hate her for that. whenever i get into a fight with my sister my mom always hits only ME and starts cursing at me and telling me she'll kill me and stuff.. like what kind of a fuckiiiiiiiing mom says that? she also acts like she's going to slap me or hit me by holding her arm up (can't really explain it), she also like nudges my head with her fingers and somtimes if i dont listen she like slaps me in the face and she has made my nose bleed before. for the past days, my relationship with my mom was terrible. we never talked or anything. and if we ever did, it would just be yelling. i feel like killing her right now. i really do. and i'm never like this but she just really crossed the line. i cant take it anymore. i've never cut before and i think i'm going to start cutting. i've prayed to make things better but it never works. i ******* hate my life right now. you have no idea what i've been through, but these are just the basics. does she verbally and physically abuse me? i feel like i forgot to say some other things but i just cant think of other things she does so if i ever think of anything else i'll write it in the additional details things. sorry this was really long:( but god bless for those who read it all(: thank you and hopefully i get a good answer(: