Is this fair? Teacher being unfair.?

Well, I have a problem with an old teacher. I had this teacher for Trig for the first 2 quarters of my year.

1st quarter: failed with a 65 (74 or below is failing). This is all my fault.

2nd quarter: Had an 80 avg. Missed a test and had to take a make-up. My teacher told me to study just Logs, as she said: "The test is 90% Logs, 10% review." I get the test, it is 20 questions, with 1 question about Logs. I got a 63. BROUGHT MY AVG. DOWN TO A 71. I told her she told me to study mostly Logs and the test was "90%" Logs. She said:"I would never say a test is 90% this or that. I said it is the majority of the test." (This teacher has many attitude issues, and frequently lies to cover her errors up."

I showed her that 1/20 questions is not a majority. She couldn't defend herself. I went to her department head and told her my story. She didn't care, she was defending her friend and coworker. After switching teachers, my avg. for this math class went up by 20 or so points to an 82.

The thing is, I want that 71 back to an 80, with that test removed from my average, as it was completely different from what everyone else received and what she told me.

Do I have the upperhand here?