1.How much did they ______ for the house

1.How much did they ______ for the house
此处填offer 是不是表出价的意思?offer 表提供的时候的词组是offer to sb.那么表出价的时候是不是就有offer for的词组了呢?
2.——Why did you eat your words,Billy?
——Sorry ,dear.But i really forgot where i was ____to meet you.
此处填suppose,suppose不是猜想 认为的意思么 带入的话并不通顺啊 为何?