Cho y = \(\frac{x^2+\sqrt{x}}{x-\sqrt{x}+1}\) + 1 - \(\frac{2x+\sqrt{x}}{\sqrt{x}}\)

a. Rút gọn y. Tìm x để y = 2

b. Cho x > 1. Chứng minh y - |y| = 0

c. Tìm GTNN của y

Cho phương trình mx² - 2(m + 1)x + 1 = 0 (*) với m là tham số.

a. Tìm giá trị của m để phương trình (*) có nghiệm bằng 2

b. Tìm giá trị nguyên nhỏ nhất của m để phương trình (*) có hai nghiệm

Tính giá trị của biểu thức

B = \(\frac{3+2\sqrt{3}}{\sqrt{3}}\) + \(\frac{2+\sqrt{2}}{\sqrt{2}+1}\) - (2+\(\sqrt{3}\))

Circle the correct answer to complete each sentence.

1. She is ……… a bamboo basket for her uncle.

A. weaving B. embroidering C. carving D. casting

2. I have been to many crafts villages in Vietnam, and I never cease to be amazed by the talents of local ………

A. souvenirs B. artisans C. products D. handicrafts

3. I enjoy living by the sea ………the weather is nice there.

A. as B. so C. although D. when

4. You can ………these new words in the dictionary.

A. take up B. turn up C. give up D. look up

5. The trouble with Stuart is that he never ………up on time for a meeting.

A. turns B. gives C. arrives D. stays

6. The air is polluted ………the factories produce a lot of smoke.

A. so B. since C. but D. or

7. Jimmy walked down the road without looking ………anybody.

A. for B. up C. at D. after

8. Please put ………your hat before we go out.

A. with B. up C. on D. down

9. Opened in 1937, the Golden Gate Bridge in San Francisco still ranks among the top 10 ………. bridge spans in the world. A. long B. longer C. mostly long D. longest

10. I don’t think I can ………to go to Canada for the conference. It’s very expensive.

A. spend B. give C. afford D. enable

11. I was about to leave ………he arrived.

A. if B. when C. before D. while

12. You need to concentrate and be ………; otherwise you’ll easily get distracted by other things and fail to complete your work with great quality.

A. self-confident B. self-disciplined C patient D. generous

13. Due to personal ………, they are not friends any more.

A. interests B. conflicts C. skills D. concerns

14. I’m behind all my work schedules. I’m really ………out.

A. left B. stressed C. frustrated D. disappointed

15. If you like, I can ……… flowers on the cushion covers for you.

A. grow B. make C. embroider D. knit

16. ……… she’s young, she’s the most famous artisan in the village.

A. when B. although C. whereas D. in order to

17. I feel ………. I have nothing to do.

A. bored B. confused C. tired D. angry

18. I asked Martha ………to enter law school.

A. was she planning B. is she planning C. if she was planning D.are you planning

19. I wondered .............................the right thing.

A. whether I was doing B. If I am doing C. Was I doing D. Am I doing

20. Someone was wondering if the taxi ……… yet.

A. had arrived B. arrived C. arrives D. has arrived

Tính điện trở của đoạn dây đồng dài 4 m có tiết diện tròn, đường kính d = 1 mm. Biết điện trở suất của đồng là 1,7.10^-8Ωm.

Tính giá trị của biểu thức:

A = \(\frac{\sin34}{\cos56}\) + \(\frac{\cot47}{tan43}\) + 2018

Rewrite each of the following sentences so that the orifinal meaning stays the same.

1. Huy didn’t notice the sign. It was right in front of him.

- Although the sign was …………………………………………………

2. His father is too old, so he’s learning to run the family workshop.

- Because his father ………………………………………………………………

3. The moment she opened the letter, she burst into tears.

As soon as she …………………………………………………………..

4. I can’t wait to see my mother in Hanoi.

- I’m looking ………………………………………………………….

5. She asked where to go for holidays.

“Where should …………………………………………….?” She asked.

6. I don’t know what I should do in order to lose weight.

- I don’t know what to …………………………………………..

7. “I was very tired,” she said

- She said she ………………………………………………………………………

8. “Be careful, Ben,” she said.

- She told Ben ……………………………………………………………………

9. Bob is younger than Sally.

- Sally is ………………………………………………………………….

10. I didn’t spend as much money as you.

- You spent …………………………………………………………………..