a. Khử mẫu của biểu thức sau rồi rút gọn: -7xy.\(\sqrt{\dfrac{3}{xy}}\)với x,y<0

b. Phân tích thành nhân tử biểu thức: ab+\(b\sqrt{a}+\sqrt{a}+1\)(với a≥0)

* Tính

a. \(\dfrac{-4}{3}.\sqrt{\left(-0,4\right)^2}\)

b. \(\sqrt[3]{\dfrac{3}{4}}.\sqrt[3]{\dfrac{9}{16}}\)

c. \(\dfrac{1}{3+\sqrt{2}}+\dfrac{1}{3-\sqrt{2}}\)

\(\left(x+\sqrt{x^2+3}\right)\left(y+\sqrt{y^2+3}\right)=3\)

Tính x+y

Q=\(\left(\dfrac{1}{\sqrt{a}+1}-\dfrac{1}{a+\sqrt{a}}\right):\dfrac{\sqrt{a}-1}{a+2\sqrt{a}+1}\)

a. Tìm điều kiện và rút gon Q

b. So sánh Q với 1

* Thực hiện phép tính:

a. \(2\sqrt{18}-9\sqrt{50}+3\sqrt{8}\)

b. \(\left(\sqrt{7}-\sqrt{3}\right)^2+7\sqrt{84}\)

 c. \(\left(\dfrac{6-2\sqrt{2}}{3-\sqrt{2}}\dfrac{5}{\sqrt{5}}\right):\dfrac{1}{2-\sqrt{5}}\)

* Tìm x, biết:

a. \(\sqrt{\left(2x+3\right)^2}=8\)

b. \(\sqrt{9x}-7\sqrt{x}=8-6\sqrt{x}\)

c. \(\sqrt{9x-9}+1=13\)

* Read the text carefully, then choose the correct answers.
Life in the big city is face-paced, fun and exciting. There are countless job opportunities and activities to occupy your time. However, with the good, there also come the bad. Although the big city has more job opportunities, there are also more people competing for a single job. This can make your job search
frustrating. Oddly enough, you will see hundreds, if not thousands of jobs available each week, but you still might remain unemployed, especially when the economy is down. In addition, the cost of living is typically higher in big cities, and it can cost you an arm or a leg for a small apartment in a decent area of the city, not to mention other costs to fulfill your basic demands. Diversity is a good thing, but the amount of people can be a bit overwhelming if you are not accustomed to it. There will always be crowds and always be people around. Moreover, traffic can be a nightmare in the big city. It can get so bad that it can turn you into an evil person. If you hate driving in heavy traffic, then the big city life is not for you. Heavy traffic also contributes to the pollution, which is one of the biggest disadvantages of living in the city.
Obviously, our health is affected most with certain diseases relating to respiratory system and other body parts. A lot of premature deaths are supposed to be the result of long-term exposure to small particles.
Most importantly, there is always more crime in a big city, causing you second case your decision for living in a big city. You are much more likely to be a victim of a crime living in a big city than in a small town
1. According to the passage, some good things of living in the city are …………………….
A. a lot of kinds of entertainment and shopping centers
B. excellent educational system and recreational activities
C. excellent educational system and countless job opportunities
D. countless job opportunities and activities to occupy your time
2. While big cities have more job opportunities, it also give …………………….
A. higher salary

B. growing economic crisis
C. more competition for a single job

D. greater chances of being unemployed
3. According to the passage, city is not a perfect place for …………………….
A. extroverted people

B. introverted people
C. people who hate driving in traffic

D. people who prefer a busy life
4. In the big city, people tend to ……………………when the traffic is getting heavy.
A. go crazy                                                             B. get enough time to relax
C. wait a bit longer                                                D. slow down themselves
5. Which of the following sentences is NOT true?
A. Pollution causes health problems.

B. Cities are always crowded.
C. It costs a lot of money to live in the big city.

D. Crime is not a serious problem in big cities.

* Complete the second sentence so that it means the same as the first one.
1. Why don’t we wait for the bus?
He suggested ……………………………………………………………………………………………………………
2. I’ll be happy to give you a lift to school.
I don’t mind ………………………………………………………………………………………………………………
3. The day was so cold that we stayed indoors.
It was such ………………………………………………………………………………………………………………
4. Have you ever visited a bigger city than this?
Is this ………………………………………………………………………………………………………………………
5. High cost of living influences most city dwellers.
Most city dwellers ………………………………………………………………………………………………………
6. I regret not going to the airport to say goodbye to him.
I wish I ……………………………………………………………………………………………………………………
7. They couldn’t turn up on time because of the traffic jams.
The traffic jams prevented ……………………………………………………………………………………………
8. It took them an hour to travel to Da Nang City by airplane.
They spent ………………………………………………………………………………………………………………
9. Staying at home is better than going out on the polluted street.
I’d rather …………………………………………………………………………………………………………………
10. The police think the burglar got in through the bathroom window.
The burglar ………………………………………………………………………………………………………………

* Fill in each blank with a suitable preposition.
1. It took a long time for the British economy to recover ………………the effects of the war.
2. Jennifer has looked ………………her new dictionary for several days but she hasn’t found it yet.
3. This report goes ………………the causes of rising unemployment rate and offers some solutions.
4. The players were substituted because they failed to live ………………to their coach’s expectations.
5. Seeing the heavy traffic jam from a distance, Eric turned ………………and took an alternate rout.
6. Phong was putting ………………his shoes while chewing some bread – he was late for school again.
7. When university students come to the city to start the new school year, the rent will go ……………….
8. The prices have gone ………………rising recently despite the government’s efforts to bring them down.
9. Lots of houses along this street will be pulled ………………soon to make way for the new metro project.
10. City dwellers are more likely to suffer ………………stress and anxiety than people who live in the countryside.

* Fill in each gap with a suitable word to complete the following passages.
For (1) ………………………, Vietnamese Ao Dai has appeared in poetry, literature, and music. The traditional dress (2) ………………………Ao Dai is a long silk tunic that is slit on the sides and worn over loose pants. Vietnamese (3) ………………………usually wear it, (4) ………………………on special
occasions. Fashion (5) ………………………have gradually changed the original Ao Dai. They have taken the inspiration from Vietnam’s ethnic (6) ………………………. Suns, stars, crosses, and stripes have been added to Ao Dai. Lines of poetry are printed on the Ao Dai. Ao Dai looks very (7) ……………………… nowadays, so Vietnamese women continue to wear this (8) ………………………dress though modern clothing is more convenient.

*Read the passage and answer these questions.

                        LEARNING ENLISH

Every year students in many countries learn English. Some of these students are young children. Others
are teenagers. Many are adults. Some learn at school, others study by themselves. A few learn English just
by hearing the language in films, on television, in the office, or among their friends. But not many are
lucky enough to do that. Most people must work hard to learn another language. Why do all these people
want to learn English? It&#39;s not difficult to answer this question. Many boys and girls learn English at
school because it is one of their subjects. Many adults learn English because it is useful for their work.
Other people learn English because they want to read newspapers or magazines in English.

1. How do a few people learn English?
………………………………………………………………………………………………………………………………
………………………………………………………………………………………………………………………………
2. Why do many boys and girls learn English?
………………………………………………………………………………………………………………………………
3. Is English useful for many adults’ work?
………………………………………………………………………………………………………………………………
4. Are many newspapers and magazines written in English?
………………………………………………………………………………………………………………………………