Bài 1: Rút gọn
B= \(\dfrac{1}{2}\)+ (\(\dfrac{1}{2}\))\(^2\)+ (\(\dfrac{1}{2}\))\(^3\)+ (\(\dfrac{1}{2}\))\(^4\)+............+ (\(\dfrac{1}{2}\))\(^{98}\)+ (\(\dfrac{1}{2}\))\(^{99}\)
Bài 2: Tính
a) \(\dfrac{45^{10}.2^{10}}{75^{15}}\)
b) \(\dfrac{2^{15}.9^4}{6^3.8^3}\)
c)\(\dfrac{8^{10}+4^{10}}{8^4+4^{11}}\)
d) \(\dfrac{81^{11}.3^{17}}{27^{10}.9^{15}}\)
Bài 3: Tìm x, biết
a) (2\(x\) + 4)\(^2\) = \(\dfrac{1}{4}\)
b) (2\(x\) - 3)\(^2\) = 36
c) 5\(^{x+2}\) = 625
d) (\(x\) - 1) \(^{x+2}\) = (\(x\) - 1)\(^{x+4}\)
Dựa vào các từ đã cho viết thành câu hoàn chỉnh:
1. I/ hear/ yesterday/ you/ just/ leave/ hospital.
2. This/ be/ very good news/ and/ i/ relieve/ hear/ it.
3. You/ have/ difficult/ time/ past/ month.
4. Hospital/ one/ feel/ too helpless/ do/ anything.
5. I/ hope/ you/ continue/ rest/ next few weeks.
6. I/ send/ you/ today/ small/ parcel/ books and magazines.
7. I/ like/ visit/ you/ next/ Friday/ half past two.
8. Please/ not/ make/ special preparations/ this visit.
Give corrcct verb tenses
1. Your family (live).......... here from 2000 to 2015?
2. We (have) ............... dinner when he (come).
3. I (sit)............... down for a rest while the man (repair)............... the shoes.
4. How many times you (read).............. this novel?
5. When your father (start)........... taking up carving eggshells?
6. After we (do).......... all our work yesterday, we (go)........... out for dinner.
7. Think carefully. I'm sure you (remember)........... his name.
8. Mai (make).............. a dress at present. She (make)............. her own clothes.
9. She (miss) ............... the bus, so now she (have)............... to walk.
10. How long you (be)......... out of work? - I'm not out of work now. I just (start)................ a new job. - How you (find)........ the job?
11. I (phone)............. you twice yesterday and (get)........... no answer.
12. When i arrived, the lecturer (write)........... on the board.
13. As i (cross)........... the street, i (step)............ on a banana skin and (fall)............ heavily.
14. How you (damage)............ your car so badly? - I (run).............. into a lamp-post yesterday. - I suppose you (drive)......... too quickly at that time.
15. Tim, i can't believe how much you (change)............... since the last time i (see) ................ you. You (grow)............ at least a foot.
16. The man always (complain)............ about the weather. He finds it terrible.
17. We (not do)............ our task, so we can't hang out together.
18. The last time i (see)........... him in pubic he (wear)............... a grey suit.
19. We (walk)................. for 3 hours and are very tired.
20. It's high time that you (get)........... down to more serious work.
21. I (not have)........... much time for entertainment these days.
Ex1: Use the given suggestions to complete sentences.
1. Monitor/ always/ go/ class/ on time/ be/ good example/ class.
-> ___________________________________.
2. Sister/ buy/ material/ make/ this dress/ me.
-> ___________________________________.
3. Teacher/ be/ please/ improvement/ my work.
-> ___________________________________.
4. He/ be/ absent/ work/ yesterday/ because/ he/ ill.
-> ___________________________________.
5. Anyone/ be/ home/ when/ everyone/ arrive?
-> ___________________________________.
Ex2: Use the give word to write the second sentence in such a way that it is a similar as possible in meaning to the orginal sentence. Do not change the form of the given word.
1. Jane always wears jeans. (time)
-> ___________________________________.
2. I'll be busy working while you are on holiday. (during)
-> ___________________________________.
3. They all joined in singing the Christmas carlos. (part)
-> ___________________________________.
4. Both my brother and i like scuba- diving. (so)
-> ___________________________________.
5. I'll see you at the airport, i expect. (hope)
- Make questions for the answers to complete the conversation between 2 friends.
Mary: (1)............ last Monday, Nam?
Nam: Yes, i was. I was ill.
Mary: (2)Oh, ............?
Nam: I had a very bad cold.
Mary: (3).............?
Nam: Yes, i did, and he gave me some medicine.
Mary: (4).............?
Nam: I took it for three days.
Mary: (5)............. now?
Nam: I feel much better. I still have a cough, but it was a lot worse two days ago.
Complete the sentences using the correct form of the words in brackets.
1. Children are .......... to overcome problems. (determine)
2. They got the ......... of being successfully in life. (satisfy)
3. This is the greatest scientific ............. of the decade. (achieve)
4. The planets of our ............ system are Mercury, Venus, Earth, Mars, Jupiters, Saturn, Uranus, Neptune and Pluto. (sun)
5. An ....... man has stolen all our money. (know)
6. In some places, the weather changes so quickly that it's very ......... (predict)
7. The industrial ...... will lead to the country's prosperity. (develop)
8. It is often useful make a ........... between two things. (compare)
9. She has been worn down by .......... and illness. (poor)
10. Our pupils are raising money for the ............ (poor)
11. His ........... to retire surprised us all. (decide)
12. Think ........... before you speak. (care)
13. The sky was ......... The weather was rather bad. (cloud)
14. The police are interested in the sudden ............... of the valuable paintings. (appear)
15. He can look back on his career with great ............. (satisfy)
16. Viet Nam is a ............ country. (develop)
17. He was excluded from school for a week as a .......... (punish)
18. I would ........... give up my job if i didn't need the money. (happy)
19. She believes she finally find true ........... (happy)
20. We are faded with a difficult ............ (choose)
21. The plane arrived .......... after a violent storm. (safe)
22. Good ......... is essential in a large organization. (communicate)
23. A new book on Dien Bien Phu campain will be ............ next year. (publish)
24. Your written work is in need of some ......... (improve)
25. It's .......... to see you again. (wonder)
26. She has decided to take early ........... (retire)
27. I have a lot of ............ to do. (shop)
28. There was a ................ to find the best cook. (compete)
29. His broken arm is still very ........... (pain)
30. My uncle lives in a ............ house by the sea. (wood)
31. You mustn't be .......... when you do the test. (care)
32. Peter has moved to a ................ house. It's lovely. (furnish)
33. China is one of the world's leading .......... of rice. (produce)
34. My friend works as a ............ at a hotel in England. (receive)
35. They're waiting for the .............. of their daughter. (arrive)
36. The witness couldn't give the .......... of the thief. (describe)