从法律的层面讲有很大的分别的：
Quote是报价，但报了价有权不卖，
Offer是提出有条件的交易，只要一方Offer，另一方表示Accept。Offer和Accept双方即自动产生合同关系，Offer一方不可不卖。
参考资料offer用法：
~ sth(to sb)(for sth)|~sb sth
主动提出；自愿给予
to say that you are willing to do sth for sb or give sth to sb
[VN] He offered$4 000 for the car.
他出价4 000元买这辆汽车。
Josie had offered her services as a guide.
乔西曾表示愿意当向导。
He offered some useful advice.
他提出了一些有益的建议。
[VN, VNN] They decided to offer the job to Jo.
他们决定把这份工作给乔。
They decided to offer Jo the job.
他们决定让乔做这件工作。
[VNN] I gratefully took the cup of coffee she offered me.
我感激地接过她递来的一杯咖啡。
Taylor offered him 500 dollars to do the work.
泰勒愿出500元雇他做这件工作。
[V to inf] The kids offered to do the dishes.
孩子们主动要求洗盘子。
[V speech]‘I'll do it,’ she offered.
“这个我来做吧。”她提议道。
OK，本文到此结束，希望对大家有所帮助。
