Start slowly. Yes, some of this is normal, not just because kids are irritating, but because they are truly growing in independence in order to leave the nest. So it's part of the survival skills and the evolutionary process. On the other hand, the eye-rolling and disrespect is aggravating. So you have to take the long view here - not "What do I want to happen today?" but "What's my goal for when she's 17 and wants to drive, or 18 and ready to leave?"
So, start with the attitude that she's right - she needs more responsibility. And be absolutely prepared to wait for the gratitude. You can hold out a little longer on that if you get more respect in the short run. Believe me, the second they leave for college or the working world, they miss your efficiency, meals, work ethic and checkbook.
Break this down into steps. Prioritize some responsibilities (don't call them "chores"). Resolve that she will, henceforth, be entirely responsible for her schoolwork and school equipment. That means she makes her own lunch (or a week's worth on Sunday night), finds a place for her homework assignments/books, and has any discussions with her teachers that need to be held. Stay out of it. Unless she's special needs and except for conferences, she handles things - she asks her teachers if she doesn't understand an assignment, she takes the consequences if she forgets an assignment (you drive NOTHING to school because she left it on the kitchen table), you don't call Mr. Jones to tell him he's unreasonable about not giving her an extension, she goes for extra help even if it means giving up some activity that day. Remember that she thinks it's super easy for you to do these things, so therefore it's not hard for her to do them either. Your attitude is, "You're right - I hear you. You ARE more capable and grown-up, and you're ready for more responsibility."
I'd also put her in charge of whatever else makes her roll her eyes. Did you not get into her room to pick up the laundry off the floor so you could wash her special yellow blouse for school on Wednesday? "You're right, honey - I'm not able to give it that level of attention, as I have too many responsibilities, and you can manage it alone. You know what you need and when, and you're more than capable of providing it." (Hint: do NOT roll your own eyes as you say this! Straight face, calm demeanor.) That means you stay out of her room - you don't clean it, you don't nag her about cleaning it. If it bothers you, grit your teeth and shut the door. (Oh yeah, you still check for cigarettes, condoms and drugs but you don't tell her.)
The cabinets are empty of her favorite snack or she's out of shampoo? Well, did she put it on the list herself? If not, why not? She starts a list NOW or at least puts it on the family list.
You're prepping her for foresight and advance planning. These are vital skills for everything from driving to living in a dorm or apartment. You can tell her you're looking ahead to the times she wants to do things unsupervised and so on, and this is her proving ground.
What we did was pick 2 responsibilities and have out son pick 2. That way it's not "put water down for the dog" and never "clean the bathroom."
I do remember once when we were getting home around 6 PM and I told my son he would walk the dog as soon as we arrived so I could start dinner. He complained, and I said I couldn't do both. He said, "Okay, I'll cook dinner." I groaned inside but bit my tongue and said "okay." Instead of saying, "You can't" or "It's hard," I asked what he would make, and we settled on pasta, sauce and vegetables. I took the dog out and left him in the kitchen to figure out which step came first. When I got back, he was kind of stymied. So we had to prioritize about what takes the longest (boiling the water/pasta) and what takes the least (heating the sauce) and what's in the middle (cutting and steaming broccoli florets). Eventually, he got it done and was carrying the pasta to the table - when it sloshed over the side of the bowl and onto the floor. He was crushed: "All that work and now it's ruined!" So we worked together to salvage what we could, and I said, "Yes, it's frustrating to work so hard, isn't it? That's how I feel when I make a meal and you complain about it." But that's all I said. It's all I needed to say. So, my message to you is, let her struggle, let it take longer than it should, let her fail a little, and let it sink in.
The last thing I would suggest is some sort of financial management - perhaps a monthly allowance (or every 2 weeks) but make it for more than just her fun purchases. Have her cover her purchased lunches, her friend's birthday, her movie date, and then work up to her summer wardrobe or whatever. If she blows her money on gel nails and now can't go to her friend's party without a gift, your attitude is, "How unfortunate for you." Not "I told you so" but more "I hate when that happens to me too - no money at the end of the month." Over time, leave a list of your monthly expenses (including what they don't see) - e.g. the car requires gas, maintenance, registration/plates, excise taxes, insurance, etc. That's prep for when she comes to you with a used car "for only $500" and you have to factor in teen insurance and more. Utilities (including wasted electricity and hot water) and especially cable/wireless/cell phones are essential for kids to understand. If your electric company sends out a notice about how you fare against your neighbors or even just includes usage over 12 months, it's good for kids to see the spikes and dips and figure out why.
The exchange for me would be no eye-rolling and disrespect, that these are signs of immaturity and not the hallmarks of someone deserving of more responsibility. Start to teach her respectful ways to exchange ideas and voice displeasure/wishes vs. the "you're so stupid, Mom" attitude. It's more effective at this age to just not comply with wishes than to engage in disrespectful debate though. But if she objects or wants to discuss in a more adult way, you have to let that happen even if you're impatient.
The most wonderful visit you will ever have is when she comes back from college at Thanksgiving - she will miss you, your warm home, your cooking and all that you have done for her! And it grows from there. So, again, you're in it for the long haul!