i can't remeber the name of a book, it was about and african American girl that moved out of the city to the suburbs, and attended an all-white
Thanks for asking! I've got a couple possibilities that I'll run by you, and if neither's quite right it'll help us narrow the search down a bit.
The first book that came up when I searched was Sharon Draper's Fire from the Rock - there are some parts of the story that don't really fit, but it's one of the really famous novels about school integration and the Civil Rights era. I know you'd mentioned the book was set in the 60s or 70s - was racial tension/ the decision to attend an all-white school a big part of the story? If you had to guess, was the story set in the South, or was it more of a New York - Chicago - LA kind of setting?
There's also a chance it could be The Golden Road: notes on my gentrification by Caille Millner. It's her biography, a story of her experiences growing up in a Latino neighborhood, then Silicon Valley, then elite schools and the different ways she struggled to find a community or was treated as an outsider because of her race. Is it possible the book you read was a memoir, or do you remember it being a fictional story?