Bài tập: Tìm các số x; y; z biết rằng:

a) \(\frac{x}{10}=\frac{y}{6}=\frac{z}{21}\) và \(5x+y-2z=28\)

b) \(3x=2y;\) \(7y=5z;\) \(x-y+z=32\)

c) \(\frac{x}{3}=\frac{y}{4};\) \(\frac{y}{3}=\frac{z}{5}\) và \(2x-3y+z=6\)

d) \(\frac{2x}{3}=\frac{3y}{4}=\frac{4z}{5}\) và x + y + z = 49

Bài 1: Tìm x; y biết:

a) \(\left(x-\frac{1}{2}\right)^2+\left(y+\frac{1}{2}\right)^2=0\)

b) \(\left(\frac{1}{2}\right)^{2x-1}=\frac{1}{8}\)

Bài 2: Tính giá trị biểu thức:

\(A=1+5+5^2+5^3+...+5^{49}+5^{50}\)

\(B=2^{100}-2^{99}+2^{98}-2^{97}+...+2^2-2\)

Bài 1: Tìm x; y trong các đẳng thức sau:

\(a.|x-1,38|+|2y-4,2|=0\)

\(b.|x-y|+|y+\frac{9}{25}|=0\)

Bài 2: Tìm GTNN hoặc GTLN của các biểu thức:

a)\(A=2|3x-2|-1\)

b) \(B=x^2+3|y-2|-1\)

c) \(C=|x+32|+|x-54|\)

d) \(D=4-|5x-2|-|3y+12|\)

Choose the correct option A, B, C, or D to complete the sentences.

Complete each of the following sentences with a compound noun from the box.

low season; hand luggage jet lag; sleeping bag; stopover; boarding pass; package tours; check-in; take-offs; round trip;

1. We should arrive at __________ at least two hours before departure.

2. I like going on __________ because everything is organised for you and included in the price.

3. It is reported that night __________ and landings are banned at this airport.

4. You can keep a small bag with you and take it on the plane as __________.

5. Tom can’t get out of his __________ . The zipper is stuck.

6. They had a two-day __________ in Viet Nam on the way to Moscow.

7. Mr. Linh said that it was a 80-kilometre __________ to his home town.

8. You mist have a __________ to be allowed to get on an aircraft or a ship.

9. My grandmother is still suffering from __________ after her trip to Australia.

10. The __________ for travel to Europe is defined as the months from November to March.

Complete the following postcard with a/an, the, or zero article

Hi Nga,

You know what? I've done it, at last! I'm on (1) __________ Explore Europe holiday to see ten different countries in (2) __________ Europe. I watch them go past from (3) __________ window of (4) __________ luxury air-conditioned coach and stay at top campsites on (5) __________ way. So far I've visited (6) __________ Eiffel Tower in Paris, (7) __________ historic Sistine Chapel in (8) __________ Vatican, taken (9) __________ gondola ride through (10) __________ canals in Venice, eaten (11) __________ apple strudel in Vienna and listened to (12) __________ Krizik Singing Fountain in Prague. But there’s lots more on our itinerary. At (13) __________ end of this week we will have (14) __________ lot of fun in Tatralandia Aquapark in Slovakia.

Bye for now,

Minh

Ps. You should also go on (15) __________ touring holiday in the future.

Complete the sentences with the words from the box. Use each word once only.

buffet; harbour; cruise; ticket; caravan; destination; luggage; resort; tour

1. If you want to see historical places it is a good idea to go on a guided

2. They met on board of a luxurious yacht during __________ in the Caribbean.

3. After changing trains three times we arrived at our __________ in the end.

4. If you have any excess __________ you must pay extra money.

5. We spent our last holidays at a camping site, living in a __________

6. They spent two weeks at a fashionable ski __________ in Switzerland.

7. Nam checked to make sure he had his __________ and passport.

8. On most trains there is a __________. Where you can eat a snack or something hot.

9. As soon as the ship left the __________ everybody got seasick.

Choose a word in each line that has different stress pattern.

1. A. stimulate B. organise C. efficient D. terminal

2. A. challenge B. promote C. affect D. machine

3. A. discover B. addition C. fantastic D. habitat

4. A. wildlife B. afford C. mountain D. passport

5. A. magnificence B. geography C. expedition D. accommodate