giải hệ phương trình sau
a) 7x-2y=1 và 2x+3y =11
b) 3x+2y =16 và 2x-y=-1
c) x+2y=5 và 3x-2y=-1

Change the following sentences into indirect speech
1 "If I were you, I would get home and have a rest now" she siad
2 "lend me your pen for a moment" I said to Mary
3 "I wrote the day before yesterday. I wonder why he hasn't rung up" he siad
4 "Why don't we have a drink now?" Bill said to Tom; "No" said Tom
5 "What a beutiful car it is!" she said
6 "Are you doing anything this evening?" I asked Jane one day; "Would you like to go to a disco?"
7 "Why were you late yesterday morning?" said the teacher
8 "Good luck in your next exam" Tom said; "Thank you very much" said Mary
9 "Bye!Remember to write to me soon" said my friend
10 "Good morning, Miss White. How are you today?" I said
11 "Welcome to our city!" Ann said
12 "Would you like something to eat now, Sarah?" said Frederic; "Thanks" said Sarah
13 "Would you mind lending me your bike for a while?" he said
14 "Stay indoors until I come back!" he said to his son
Rewrite the following sentences
1 "keep away form this area" said the security guard, when we approached the fence
2 She wanted to know if he had studied French
3 She asked Jonh how he liked her new dress
4 "How long has it been since you left this city, Bob?"
5 "I don't think Jonh will come" said Bill
6 "Why didn't I get a computer before?" thought the office manager
7 "Where has he been?" she doesn't know that
8 He said" I wish I knew the answer"
9 "How many stars are there in the sky?" no one knows about it
10 "Do you want to insure your luggage or not?"
11 "when it stops snowing, we must start digging ourselves out" I said
12 "Must you go so soon?" I said
13 "Never borrow money from friends" my father said
Using the words given and other words, complete the second sentence so that it has a similar meaning to the first one. Do not change the word given
1 "I must have this document translated into French" said Robert(Had)
2 " If only I could explain everything" she sighed(wished)
3 "I rang you last night, Julia" said Brian (explained)
4 "You needn't move to England next year" they told me(would)
5 "How much does it cosr to go to Rome by plane?" he asked himself(wondered)
6 "You should join the football team, Kelly" said the gym instructor (encouraged)
7 "why don't you go to the library to study?" said Peter(advised)
8 "Do you remember what you have to do?" the teacher asked her class (what)
9 "Where can I park?" I said to myself (wondered)
10 She said "Will you show me the way to the station, Peter?" (told)
11 "If you scream , I'll shoot" said the robber to the girl

I complete each of the sentences in such a way that it has the same meaning as the first one
1 it would be a good idea if you did it again
->you had
2 they advised repainting the house->they advised
3 I can't afford to go on holiday this year->I haven't got
4 He paid little attention to his brother's warnings->he didn't take
5 Fred tried hard to start the car, but without success->no matter how
II use the words given to make complete sentences
1 I/like/find/more/film/before/I/see/it
2 He/apologise/be/late/and/disappoint/her
3 I/expect/help/by him
4 It/be his first visit/USA/next year
III finish the second sentence so that it means exactly the same as the first one
1 Philip's inability to make decisions dates from his accident->ever
2 you could be arrested for not giving a breath sample to the police->refusal
3 we were very impressed by the new cinema but found it rather expensive
->Impressed
4 mr wilson says he's sorry he didn't attend the meeting yesterday morning->mr wilson sends
5 the only reason I made a serious mistake was that he hadn't warned me->had
6 all the witnesses said that the accident was my fault->all the witnesses said that I
7 I'd prefer you not to phone me at work->I'd rather
8 the interview panel thought that Sarah had a very good manner->Sarah's good manner made
9 Tom is usually late for class->it's characteristic
10 he didn't forget and neither did she->he remembered
11 you can borrow the car, but you've got to fill it up->provided
12he wrote that book during his holiday in Wales->it was while
13 italy is the country I'd like to visit most->I'd like to visit
14 if Mary had worked hard enough, she wouldn't have failed her exams->Mary didn't work
15 My father said if I had to go out, I should finish my homework first->my father said to me,
16 although we were very tired, we agreed to have a game of tennis->tired
17 the robbers made the customers lie on the floor->the customers
18 the computer she bought was very cheap-> she
19 I really like that car, but I can't afford it->much as
20 the frame may be heavy, but this rope will support it->however much_____the frame up (weigh)
21 global travel is on the increase->there are______around the world (numbers)
22 books are just as popular nowadays as they used to be -> there has_______books (change)
24 it was her lack of confidence that surprised me->what I found
25 the reason for the high prortion of the old is births rather than deaths->births rather than deaths
26 this problem cannot be solved instantly-> there is
27 she had thought of paying the bill->she was
28 jenny and Kate grew up happily->Jenny and Kate had
29 Jack spends all his time working-> Jack is
30 I should really be going now
->It is really
31 his second attempt on the world record was succesful->he broke
32 I'm sure he didn't know that his brother was seriously ill->he couldn't possibly
33 what particularly impressed me was her excellent command of English->I
34 the result of the match was never in doubt->at no time
35 the violent criticism of the Prime Minister was quite unjustified->there
36 people use a lot of wool-pulp, many trees are cut down->the more
37 you have to stay calm in whatever situation it is->under
38 it was such a pity that I couldn't go to the party->I'd like
39 I can never compensate for what I have done, can I?->how can I make
40 the thief must have come in through the window->the thief almost
41 I'd rather him not to have said all those embarrassing things about me->I'd rather
42 I don't think he'll succeed this time (LIKELIHOOD)
43 If Jane hadn't helped me, I couldn't have finished the job so quickly (FOR)
44 She doesn't appreciate our presence (GRANTED)
45 We may have to increase our prices without warning (SUBJECT)
46 You and I have exactly the same pearl earrings (IDENTICAL)

I. fill each gap in the following sentences with one of the particles in the box

1 it's time Edward got married and settled_____. He must be well over thirty
2 could you put me____ for a few days until I find a place of my own?
3 he's very easy going. he takes______his father in that respect
4 you haven't thrown____yesterday's paper, have you?I haven't read it yet
5 I didn't take_____skiing immediately but I began to enjoy it once I'd had a few lessons
6 "Now , let's go___the main facts of the case again in case we've missed something". the inspector said
7Sorry, I'm late. When the alarm clock rang I must have turned over and gone____to sleep
8 Don't let me____,will you? I'm relying on your support
9 I suppose, I'd better start that composition. I can't put_____doing it any longer
III. finish each of the following sentences in such a way that it means the same as the sentence printed before it
1 the doctor asked:"Why didn't you make an appointment?"
-> the doctor asked her
2 did he say why he hadn't reached the island?
->did he give
3 Is smoking permitted in British cinemas?
-> are we
4 please don't play your music so loudly
-> would
4 with the introduction of the computers into the classrooms, students' performance has been greatly enhanced
->the introduction
5 julia didn't listen to what her doctor told her(notice)
6 please do not stop your work(carry)
7 jenny didn't feel like going to the party(mood)
8 he wants her students to call him 'professor'(address)
9 you should make an effort to get out and about more
->It's high time
10. It seems as if there is a slight deterioration in his physical condition
->his physical condition
11 I have forgotten that commentator's name but he's very well-known
->that commentator,
12 we can say that the leisure industry will be the money spinner of the future
->the laisure industry
13 it was overheating that caused his heart attact
->if
14 the house has got everything except a large garden (lacks)
15 i'm afraid to say that we haven't got any oil left (up)
16 the film is similar to Shakespeare's Hamlet in a number of ways (bears)
17 In all probability we will finsh the project on Thursday (chances)
18 The Embassy said it would not be neccessary for me to get a visa (need)
19 I drive to work every day, but today i go by bus
-> Instead
20 Mary does not work at this company any more
->No
21 we happened to meet John at the airport
->We met
22 more people live in New York than in Washington
->not so
23 we never intended to travel abroad
->we never had
24 immediately after his arrival, things went wrong
->no

Ex1 give the correct prepositions to complete the following sentences

1 "where did you get the name Harrison?" "I was named....my grandfather"
2 "where does Anthony work?" "I think he's associated...the Forman Company"
3 "what's in the Jar?" "It's filled....candy"
4 "Did you go to college?" "Yes, I graduated....the University of London"
5 "Ruth is a surgeon, isn't she?" "Yes, but her family doesn't approve...her career"
6 "where have you been?" "I apologise....being late but I missed the bus"
7 "What's the meat loaf?" "It's a dish composed....hamburger, eggs. Tomato sauce"
8 "Can I help you?" "Yes, I'm intersted.....buying a pair of boots"
9."why is the landlord upset?" "Because so many people are complaining...the rent increase"
10 "what a nice house!" "It's famous....its historical places"
11 "I thought we were buying hamburger for the barbecue" "some insisted...chickens too"
12 "Can I borrow some money from you?" "you're already...debt to me for sixty dollars"
13 "What do you think of the idea Albert had?" "I'm opposed...it"
14 "I'll buy the cake for Joan's birthday party" "And I'll be responsible...the ice-cream"
15"What was your impression...the art exhibition?" "I thought some...the works were uninterseting"
16"It's been raining for a day and a half" "If this situation continues, people will be faced ...serious flooding"
17 "Can you tell me where a hardware store is?" "I'm sorry. I'm not familiar...this city"
18"Should anyone object...it, you will reconsider"
19"Tony and Toby looks so much alike" "Yes, it's difficult to distinguish one twin...another"
20 "How did you change the class schedule?" "We combined the reading class...the writing class"
Ex2 give the correct prepositions to complete the following sentences
1 the important matches often take place...weekends
2 this must be done...any price
3 your request...a scholarship has been taken into account
4 He succeeded...getting a scholarship
5 Mark Twain based the story....his experiences in the West
6 we just rest...a short time
7 don't put...until tomorrow what you can do today
8 Robert Nixon was ashamed....his father
9 I prefer tea...coffee
10Edward depends....his family.....financial support
11 Those books deal mainly...tropical plants
12 there is an increasing demand.....taller buildings in big cities
13.....the game last evening, my cousin hust his ankle
14 water consists ....oxygen and hydrogen
Ex3 give the correct prepositions to complete the following sentences
1 the vicar passed...no flowers by request
2 good citizens always abide...the law
3 I like to read that novel....Jack London
4 I put the ladder....the wall
5 I'm thankful.....him......his advice
6 The manger traveled sometimes....pleasure and sometimes......business
7 their parents are concerned....their bad behavior
8 the newcomers are familiar....these sub-standard living conditions

I. Find and correct mistakes. Underline the mistakes
1. Did you remember give me the money?
2. They promise won't forget this time
3. I ride sometimes. Would you like coming with me?
4. Most people prefer to spend money to earn it
5. I'm very sorry for to be late. It was good of you waiting for me
6. You'll never regret to do a kind action
7. The police didn't permit to go across that area but they didn't let us know why
8. He offered lending me the book. I didn't like it but I said nothing
9. The doctor convinces to eat more calcium-rich food for stronger bones.
10. I am used to work with the radio on.
II. Complete these sentences with an appropriate preposition and verb form
1.The thief was accused____(steal)____a woman's purse
2. You are capable____(do)____better work
3.The rain prevented us_____(complate)____the work
4.Instead____(study)_____. Margaret went to ballgame with some of her friends
5. You should take advantage____(live)____here
6.I stopped the child____(run)____into the street
7.Larry isn't used____(wear)____a suit and tie every day
8. In addition_____(go)____to school full time, Spiro has a part-time job
9.Factima had a good reason____(go,not)_____to class yesterday
10.Alice is interested____(look)___for a new job
III. Finish each of the following sentences
1.I'm always nervous when travel by air
-> Travelling
2."If I had worked hard, I wouldn't have failed my English exam",said Tom
-> Tom regretted
3.I'm sorry I was rude to you yesterday
->I apologise
4.My group continued to seek information for our class presentation
->My group carried
5.My visit to Ha Long Bay will always stay in my memory
-> I
6.Children can learn a lot about how to behave in a situation like this
->Only
7.Without your help, I couldn't have finished that difficult task
-> If you
8.The storm completely wipped out all my crops
->I had
9.The oil price has fallen considerably in the past months
->There
10.Nobody expected her to lose but she did
-> Against

tìm và sửa lỗi sai trong các câu sau:
1. There is a proverb that suggests that some people hate what other like
2.The old man is reading a magazine over there is Tim's father.
3. The first two of four cars that we looked today were far too expensive, but the other were reasonably priced.
4. She didn't find it easily to keep the children amused
5. It spent a long time to travel to the skiing resort but in the end we got there
6. The price of crude oil used to be a great deal lower than now, wasn't it?
7.He was sacked because of he was lazy and dishonest.
8. Difficult like the problems are, they can easily solve them
9. Some of the plants require very little care, but this one needs much more sunlight than the others ones.
10.Each year people around the world spending billions of dollars buying merchandise on the internet.

cho cosα =\(\frac{3}{5}\). Tính giá trị củ biểu thức A=\(\frac{tan\alpha+\cot\alpha+1}{\tan\alpha-\cot\alpha+1}\)