Ex.3. Complete the sentences by using infinitives. Supply a preposition after the infinitive if necessary. The first is done for you

1. I’m planning to fly to the USA next year.

2. The student promised not … late for the lecture.

3. I need … my homework tonight.

4. I want … computer games after my classes.

5. He intends … a programmer when he graduates from the university.

6. I hope … all of my courses this term. So far my grades have been pretty good.

7. I try … class on time every day.

8. I learned (how) … when I entered the university.

9. I like … a lot of e-mails from my friends.

10. I hate … in front of a large group.

11. My roommate offered … me with my English.

Ex.4. Write the correct form (gerund or infinitive) of the verbs given in parentheses. Sometimes more than one answer is possible.

1. He regrets (not study) harder when he was at school.

2. The teacher was very strict and nobody dared (talk) during his lessons.

3. She suggested (go) to the University by taxi.

4. (learn) English involves (speak) as much as you can.

5. (Solve) this equation multiply each term in it by the quantity that precedes it.

6. On (obtain) the data the scientists went on working.

7. The procedure (follow) depends entirely on the student.

8. This equation must (solve) at the previous lesson.

9. Euclid was the first (bring) all the known facts about geometry into one whole system.

10. We don’t mind (give) further assistance.

11. The method (apply) is rather complicated.

12. (prove) this theorem means (find) a solution for the whole problem.

13. Students are (study) the laws of mathematics and mechanics.