CMR: Tích của 4 STN liên tiếp không là số chính phương

Giải pt:

\(\sqrt{x^2+x+4}+\sqrt{x^2+x+1}=\sqrt{2x^2+2x+9}\)

Giải pt:

\(x^2\left(x-1\right)^2=\left(2x-1\right)^2+2\)

I.In this section you must find a word from the box to complete the numbered blanks in the passage below. Use only ONE word for each blank. 

used; on; afford; enough; every; soon; wait; used;

listening; home; few; who; what; won; all;

There was once a large, fat woman (26)………………had a small, thin husband. He had a
job in a big company and was given his weekly wages (27)………………Friday morning. As
(28)………………as he got (29)………………on Friday, his wife (30)………………to make
him give her (31)………………his money, and then she (32)………………to give him back only
(33)………………to buy his lunch in the office every day.

One day the small man came home very excited. He hurried into the living room. His wife was (34)………………to the radio and eating chocolates there. " You'll never guess (35)…………… happened to me today, dear," he said.

He waited for a few seconds and then added, " I'll (36)………………ten thousand pounds
(37)………………the lottery!"

"That's wonderful!" said his wife delightedly. But then she thought for a (38)……………… seconds and added angrily, " but (39)………………a moment! How could you (40)………………to buy the ticket?"

II.Use the following sets of words and phrases to write complete sentences. 

41. She / a bath / every morning.

……………………………………………………………………..

42. Now / she dances / beautifully / than / used to.

……………………………………………………………………..

43. How long / it / take / him / get / school / every day ?

……………………………………………………………………..

44. Last Wednesday / Bill / ring / office /nine o'clock.

……………………………………………………………………..

45. I / live / Ho Chi Minh city / ten years.

……………………………………………………………………..

46. People / come / all over the world/ visit / city/ Hiroshima.

……………………………………………………………………..

47. Billy / an old man that / has to live with his children.

……………………………………………………………………..

48. Oliver Twist / first published / 1838.

……………………………………………………………………..

49. It / too heavy / him / lift.

……………………………………………………………………..

50. I / able to / come / tomorrow.

……………………………………………………………………..

I.Supply the correct verb form.

She (go)……….jogging every morning to keep fit.

Everyday, my mother (leave)……….home at 6:30.

What time do you (study)……….in the evening?

She usually (hang)……….out with friends on the weekend.

My hobbies (be)……….cooking and traveling.

II.Choose A, B, C or D for each gap in the following sentences.

1.What _____ do you like the most? I like winter.

A. season

B. weather

C. fruit

D. climate

2. Is he fat _____ thin?

A. and

B. or

C. about

D. but

3. _____ do you have this afternoon? History and Geography.

A. When

B. Which

C. What

D. Which classes

4. How about _____ ice – cream?

A. eat

B. drinking

C. eating

D. to eat

5. Please _____ step on the grass!

A. do

B. does

C. doesn’t

D. don’t

6. There is _____ butter in the fridge.

A. any

B. some

C. a few

D. much

7. I would like to have _____ of tea.

A. a cup

B. a bar

C. a tube

D. a bottle

8. What is your nationality?

A. Korean

B. Korea

C. from Korea.

D. in Korea

9. Have you got _____ money on you?

A. much

B. many

C. any

D. a little

10. _____ lives in a big palace.

A. Prince of England

B. The prince of English

C. The prince of the England

D. The prince of England