Combine each pair of sentences, using BECAUSE, SINCE, AS.

1. She saw the wanted man in a small coffee shop. She phoned the police.

2. The teacher is sick. We'll have no class tomorrow.

3. She walked slowly. Her leg was injured.

4. Mary looks happy. She has just got good marks.

5. He came to the office 10 minutes late. He missed the first bus.

6. She coughed and sneezed. The doctor said she had to stay out of crowd.

7. It got dark. I couldn't read the letter.

8. I didn't come in time. There was a traffic jam.

9. He stayed at home yesterday. His mother was sick.

10. We didn't want to go out. It rained heavily.

Supply either BECAUSE or BECAUSE OF as appropriate.

1. It was difficult to deliver the letter_________ the sender had written the wrong address on the envelope.

2. We decided to leave early_______ the party was boring.

3. Rescue attemps were temporarily halted_____ the bad weather.

4. Paul may not go to the football game________ his grades.

5. They visited their friends often______ they enjoyed their company.

M=2√x -9/x-5√x +6 - √x +3/√x -2 - 2√x +1 /3-√x

a) Tìm điều kiện xác định và rút gọn M.

b) Tìm x thuộc Z để M nguyên.

c) Tìm x để M + 1/M + 2=0

A=x√x -3/x-2√x -3 - 2(√x -3)/√x +1 + √x +3/3-√x

a) tìm điều kiện xác định và rút gọn A

b) tính A khi x=14-6√5

Cho đường tròn (O;R) đường kính AB cố định và dây AC. Biết khoảng cách từ O đến AB, AC lần lượt là 8cm và 6cm.
a) Tính AC, BC và bán kính đường tròn.
b) Lấy D đối xứng A qua C. Chứng minh ∆ ABD cân.
c) Khi C di chuyển trên (O). Chứng minh D thuộc 1 đường tròn cố định.

Complete the following sentences.

1. Tom hurried so that ........

2. Mary asked her parents for permission in order .........

3. They're studying English so that........

4. He stood up to ........

5. I gave her my telephone number in order that ......

6. I'll come there early in order ......

7. The teacher explained the lesson again so that .......

8. The firemen rushed into the burning house to .......

9. He is saving money so that .......

10. They are in a hurry so as not ......

11. We study hard in order ......

12. Mary has made a big cake so that .......

13. They went to Paris to ......

14. He tries to go to work in time so as not ......

15. The workers went on strike so that ........

A=4√x/2√x -1 - 4√x -1/2x - √x

a) Tìm điều kiện xác định và rút gọn A.

b) Tính giá trị A tại x=3-2√2

c) Tìm x để A=5/3

Use a phrase or clause of purpose to combine each pair of sentences below.

1. The boy stood on the benches. They wanted to get a better view.

2. We lower the volume of the radio. We don't want to bother our neighbours.

3. I'll write to you. I want you to know my decision soon.

4. These men were talking in whispers. They didn't want anyone to hear their conversation.

5. The boy feigned to be sick. He hoped we didn't make him work.

6. The man spoke loudly. He wanted everybody to hear him clearly.

7. Doris often goes home as soon as the class is over. She doesn't want mother to wait for her.

8. John gets up early. He doesn't to be late for class.

9. Mary hid the novel under her pillow. She didn't want to her father to see it.

10. Alice prepares her lesson carefully. She wants to get high marks in class.

11. The robber changed his address all the time. He didn't want the police to find him.

12. They did their jobs well. They hoped the boss would increase their salary.

13. You should walk slowly. Your sister can follow you.

14. I'm studying hard. I want to keep pace with my classmates.

15. We turned out the lights. We didn't want to waste electricity.

16. This pupil read only for short periods each day. He didn't want to train his eyes.

17. I whispered. I didn't want to disturb anyone.

18. The clown took off his mask. He didn't want to frighten the children.

19. My father drove carefully. He didn't want to cause accidents.

20. She dutifully followed her parents' advice. She didn't want to cause trouble for her parents.

21. Mr.Thompson is learning Vietnamese.

He wishes to read Kim Van Kieu.

22. Please shut the door. I don't want the dog to go out of the house.

23. The farmer built a high wall around his garden. The fruits wouldn't be stolen.

24. The police stopped the traffic every few minutes. The pedestrians might cross the road.

25. The notices are written in several languages. Everyone many understand them.

26. I wish to have enough money. I want to buy a new house.

27. Dick is practising the guitar. He can play for the dance.

28. She needs a job. She wants to support her old parents.

29. He moved to the front row. He could hear the speaker better.

30. She put the meat into the oven. She wanted it to be ready for dinner.

Rewrite the sentences below, using WISH or IF ONLY to express wishes.

1. My father isn't here now. I want him to be here now.

2. You talk more than you work. The teacher wants you to work more than to talk.

3. John would like to be an astronaut when he grows up.

4. I'm sorry I didn't help you yesterday.

5. I regret that you didn't give me a chance to tell you the truth.

6. Mary is afraid she won't be able to attend your wedding next week.

7. We regret that we didn't have enough money to buy that house.

8. You drive too fast. I'd like you to drive more slowly.

9. You are too lazy. The teacher wants you to be more studious.

10. I'm afraid he won't get over his illness soon.

11. I'm not a doctor.

12. I haven't enough money to buy this book.

13. I live in a big city, but I don't like it.

14. Nam is sorry now that he didn't accept the job.

15. Tomorrow is a workday.

16. We have to work this Saturday.

17. I feel sick because I ate too much ice-cream.

18. It's pity that you were not here last week.

19. I regret speaking to him so impolitely yesterday.

20. Alan regretted asking Arthur to lend him 20$.

21. I want the baby to stop crying.

22. He is sorry now that he didn't invite Molly to his party.

23. The hotel wasn't good.

24. I didn't understand the lesson.

25. My friend didn't pass his exam.