Cho hai biểu thức A=\(\frac{\sqrt{x+1}}{\sqrt{x}-3}\), B= \(\frac{2\sqrt{x}}{\sqrt{x}+3}+\frac{\sqrt{x}}{\sqrt{x}-3}-\frac{3x+3}{x-9}\left(x\ge0,x\ne9\right)\)

a) Tính giá trị của A khi x =25

b) Rút gọn biệu thức P=B:A

c) Tìm GTNN của P

Cho biểu thức M= \(\frac{2\sqrt{x}-9}{x-5\sqrt{x}+6}-\frac{\sqrt{x}+3}{\sqrt{x}-2}-\frac{2\sqrt{x}+1}{3-\sqrt{x}}\)

a) Rút gọn M

b) Tính giá trị của M khi x= 11-6\(\sqrt{2}\)

c) Tìm các giá trị thực của x để M =2

d) Tìm các giá trị thực của x để M<1

e) Tính giá trị nguyên của x để M nguyên

Cho biểu thức A=\(\frac{\sqrt{x}-1}{\sqrt{x}+1}\)với x\(\ge0\)

a) Tính A khi x =4- 2\(\sqrt{3}\)

b) So sánh A với 1

c) Tìm x để A \(\in\)Z

d) Tìm m để phương trình A=m có nghiệm

Read the following passage and choose the best option for each blank.

Many visitors come to Tattebridge to see wonderful art (1)...........................and museums, the beautiful buildings and the fantastic parks. Few people go outside the city, and so they miss out on (2)............................the scenery and the fascinating history of this beautiful area. This brochure will tell you what you can see if you (3)..........................a short bus ride out of the city.

The beautiful village of Tattebridge was (4).............................to the children's writer Jane Potter, whose stories of Bejamin Bear (5)............................loved by adults and children around the world. Jane Potter's home is now a museum and a tea shop, and is well (6)..............................a visit just for its wonderful gardens. It also has a gift shop where you can buy (7) .........................and books. Tattebridge has a numer of interesting shops (8)...............................an excellent cake shop, and "Wendy giftshop" where you can find lots of unusual gifts made (9)..........................hand by local artists. Lovers of Jane Potter's book should also walk to the Green Valley woods, which hacve not changed since Jane Potter (10)..............................her stories there one hundred years ago.

1. A. workshops

B. galleries

C. restaurants

D. stations

2. A. understanding

B. questioning

C. welcoming

D. Experiencing

3. A.bring

B. Take

C. drive

D. sail

4. A. home

B. school

C. shop

D. cottage

5. A. be

B. have

C. are

D. been

6. A. excited

B. worth

C. value

D. known

7. A. souvenirs

B. materials

C. costumes

D. vegetables

8. A.purchasing

B. advertising

C. preserving

D. including

9. A. at

B. with

C. by

D. in

10. A. wrote

B. designed

C. moulded

D. Carved

Match the phrasal verbs in A with their meaning in B.

Complete the sentences with a subordinator.

1. He didn't go to school.............................it rained heavily.

2. She walked home alone at night........................she knew that is was dangerous.

3. ......................he has free time, he often go to the park.

4. She is studying hard.......................she can pass the exam.

Complete the sentences with suitable subordinators from the box.

1. The children are very excited________________they're going to visit a craft village this weekend.

2. We will tell Alice about the trip____________we meet her.

3. _______________it rained a lot, they enjoyed their holiday.

4. I bought a new pair of glasses______________I can see better.

5. ______________I go out tonight. I will have to finish this easy.

6. Phong burnt his hand_____________he was cooking dinner.

7. Laura always gets up early every morning_____________she's not late for her work.

8. Mr. Harrison seems to have a lot of money_______________he lives in a luxurious house.

9. ________________I was waiting for the bus, I saw some foreign tourists.

10. They didn't win the game______________they played it very well.

Cho biểu thức \(P=\frac{2\sqrt{x}}{x-9}-\frac{2}{\sqrt{x}+3}\)và Q = \(\frac{6}{x-3\sqrt{x}}\) với x\(\ge\)0, x\(\ne\)9

a) Rút gọn P

b) Tìm x để A= \(\frac{2\sqrt{x}+1}{2}\)vơi A= \(\frac{Q}{P}\)

c) So sánh A và \(A^2\)