Ответ:

1 Are you still looking "for" a job? (search)

2 She pays someone to look "after" her children while she's at work. (take care of)

3 If you don't know what a word means, look it "up" in the dictionary. (find)

4 Since Brian was promoted, he looks "down on" all his old friends. (feels superior to)

5 The police are looking "into" the theft of Lady Hamilton's jewellery. (investigating)

6 The professor looked "over" his notes before starting his lecture. (read quickly)

7 I miss John. I'm looking "forward to" hearing from him soon! (expecting eagerly)

8 Look me "up" next time you're in town. (come and see)