Answer:
1. This singer will bring out a new album this year.
2. Peter is very reliable. You can count on him.
3. You should cut your essay down 500 words.
4. Jim is depressed as he has been turned down by five companies so far.
5. I can't put up with such disturbing noise anymore.
6. My mother is always checking up on me.
7. Mr. Smith has taken up golf.
8. Are you tired of dealing with complaints from your customers?
9. How are you now? I head that you came down with the flu last week.
10. Hold on! I think we've got lost. This isn't the right road.
Explanation:
1. bring out --> to release a new product;
2. count on --> to rely on someone; to trust someone to do something;
3. cut down --> to shorten or reduce something;
4. turn down --> to refuse something or someone;
5. put up with --> to tolerate something or someone;
6. check up on --> to make sure someone is behaving properly by finding out what he is doing;
7. take up --> to start practicing a sport;
8. deal with --> to handle; to solve a problem;
9. come down with --> to get sick;
10. hold on --> to wait.