Phân tích đa thức thành nhân tử = phương pháp đổi biến:
a) \(\left(x^2+x\right)-2\left(x^2+x\right)-15\)
b) \(x^2+2xy+y^2-x-y-12\)
c) \(\left(x^2+x+1\right)\left(x^2+x+2\right)-12\)
d) \(\left(x+2\right)\left(x+3\right)\left(x+4\right)\left(x+5\right)-24\)
e) \(\left(4x+1\right)\left(12x-1\right)\left(3x+2\right)\left(x+1\right)-4\)
Bài 2: Giải các phương trình sau:
a \(\frac{3x+2}{2}-\frac{3x+1}{6}=\frac{5}{3}+2x\)
b \(\left(x+1\right)\left(x+2\right)=\left(2-x\right)\left(x+2\right)\)
c \(\frac{x+5}{x-5}-\frac{x-5}{x+5}=\frac{20}{x^2-25}\)
d\(x^2+6x+9=114\)
2 Tìm giá trị nhỏ nhất của biểu thức :
a) A=2x^2-8x+10 ; b) B= x(x+1)(x^2+x-4)
d) D=9x^2-6x+5 ; e) E=x^2+3-1
f) F=(x^2+5x+4)(x+2)(x+3) ; G= (x-3)(x-4)(x^2-7x+8)
h) H=\(\left|x-7\right|+\left|x+5\right|\) ; i) I=\((2x-1)^2-3\left|2x-1\right|+2\)
k) K=\(\left|x^2+x+1\right|+\left|x^2+x-12\right|\)
Tìm tất cả các số nguyên n để:
a) \(\left(2n^2+n-7\right)\) ⋮\(\left(n-2\right)\)
b) \(\left(10n^2+n-10\right)\) ⋮\(\left(n-1\right)\)
c) \(\left(3n^3+10n^2-5\right)\) ⋮\(\left(3n+1\right)\)
d) \(\left(n^3-3n^2-3n-1\right)\)⋮\(\left(n^2+n+1\right)\)
Rút gọn
a) \(\sqrt{5}.\sqrt{45}-\sqrt{13}.\sqrt{52}\)
b) \(\sqrt{2300}.\sqrt{23}+\frac{\sqrt{6}}{\sqrt{150}}+\sqrt{\frac{25}{144}}\)
c) \(\sqrt{9-4\sqrt{5}}-\sqrt{9+4\sqrt{5}}\)
d) \(\sqrt{4-\sqrt{7}}-\sqrt{4+\sqrt{7}}\)
e) \(\left(4+\sqrt{5}\right)\left(\sqrt{10}-\sqrt{6}\right)\left(\sqrt{4-\sqrt{15}}\right)\)
Exercise 1. Choose the right answers.
1. My father's death left me with a great ....................... in my heart.
A. empty B. emptiness C. emptying
2. It was a really ................... experience. Everybody was very .................
A. terrifying/shocking
B. terrified/shocking
C. terrifying/shocked
3. There was a ................. change in the weather.
A. sudden B. suddenness C. suddenly
4. “How did you learn to drive?” “My father..................... me.”
A. taught B. has taught C. teaches
5. The teacher's explanation was .............. . Most of the students didn't understand it.
A. confusion B. confusing C. confused
6. If you make a good ................... at the interview, you will get the job.
A. impression B. impressive C. impressed
7. I've been working very hard all day and now I'm ..........................
A. exhausting B. exhausted C. exhaustion
8. If you stop by the ............., please buy me a loaf of bread.
A. bakery B. baking C. bake
9. Everybody at the carnival was .................... dressed.
A. colourful B. colourfully C. coloured
10. Linda usually wears ..................... clothes.
A. colourful B. colourfully C. coloured
11. Hello! I've just...................to the shops. I've bought lots of things.
A. been B. gone C. went
12. Why do you always look so ................? Is your life really so ................... ?
A. boring/ bored B. bored/ boring C. bored/ boring
13. Americans fought hard to earn their ....................... from Britain.
A. free B. freely C. freedom
14. Sam ............................ (take) a picture of me while I ..................... (not/look).
A. took/was not looking
B. has taken/was not looking
C. took/didn’t look
15. “Where are you going for your holiday?” “I ......................... yet.” (not/decide)
A. didn’t decide B. haven’t decided C. don’t decide
16. Sue works........................ She never seems to stop.
A. continuously B. continue C. continuous
17. Fill in your name, address and ..................... on the form.
A. nation B. nationality C. national
18. He's one of the most ................... people I've ever met. He never stops talking and he
never says anything .........................
A. boring/ interesting
B. bored/ interesting
C. boring/ interested
19. Rachel and Patrick are very ................ married.
A. happy B. happiness C. happily
20. “Are you going to the bank?” “No, I've already...............to the bank.”
A. gone B. go C. been
Exercise 2. Put a/an, the or 0 (zero article) in the spaces.
1. A special award was given to ....................... novelist Ian McMurphy.
2. I’ve been offered the position of .................... Director of Personnel.
3. I’ve always wanted to meet ..................... Michael Owen.
4. What's ................ name of that man we met yesterday?
5. I’m ...................... marketing adviser at Unifleet.
6. Let me introduce you to ........... Paula Cox.
7. We meet our good friend ......... Jean when we were in ......... New York City.
8. Brian’s ............. manager of the local football team.
9. When she was young she knew ................ Picasso.
10. She was determined to be ............ author.
11. We’re going on holiday with .................. Smiths.
12. He’s really keen on playing football. He likes to think of himself as
.............. Ronaldo.
13. We had dinner in ................. very nice restaurant.
14. This morning I bought ........... newspaper and ........... magazine. ............
newspaper is in my bag, but I can’t remember where I put ............ magazine.
15. My friends live in ........ old house in small village. There is .............
beautiful garden behind house. I would like to have ............. garden like that.
Exercise 3. Rewrite the senctences without changing their meaning.
1. She started driving a year ago.
→ She has ...................................................................................................
2. We began eating when it started to rain.
→ We have .....................................................................................................
3. I have never been to France before.
→ This is .........................................................................................................
4. I last had my hair cut 2 weeks ago.
→ I haven’t ......................................................................................................
5. I began living in Ho Chi Minh city when I was 8.
→ I have ...........................................................................................................
6. I haven’t seen him for a month.
→ The last time ................................................................................................
7. She has moved to Paris for 3 years.
→ She moved ..................................................................................................
8. I started learning English 5 years ago.
→ I have ...........................................................................................................
9. He has not written to me since April.
→ The last time ................................................................................................
10. The last time she saw her elder sister was in 2006.
→ She hasn’t ...................................................................................................
11. I haven’t slept since 2 days ago.
→ I last ............................................................................................................
12. We haven’t met since 2019.
→ The last time ................................................................................................
13. I have worked for this company for 6 years.
→ I ....................................................................................................................
14. I last saw him at work yestersday.
→ I haven’t .......................................................................................................
15. Alex and Elizabeth married ten years ago.
→ Alex and Elizabeth ......................................................................................
Phân tích các đa thức sau thành nhân tử:
a) \(4x^4-32x^2+1\)
b) \(x^6+27\)
c) \(\left(2x^2-4\right)^2+9\)
d) \(4x^4+1\)
e) \(4x^4+y^4\)
f) \(x^4+324\)
Match words on the left and right to make sentences with the passive.
For each question, write in the space ONLY the correct number to match with the question number on the left. Example: if you think the first question on the right goes with number 7 on the left, write "7" in the first space.
1. A lot of red wine is produced 2. A lot of tea is grown 3. A lot of gold is mined 4. A lot of tea is drunk 5. A lot of TVs are made 6. A lot of baseball is played 7. A lot of comic books are produced 8. A lot of good beer is brewed |
in Argentina _ in South Korea _ in the Czech Republic _ in India _ in England _ in the USA _ in Japan _ in Australia _ |
I/ Give the correct form of the verb in the brackets:
1/ After (do)_______________ her homework, Linh usually listens to the plays on the radio.
2/ Minh likes sports, especially (play)____________tennis and ( swim)______________.
3/ Hoang ( read)_____________________this novel for 3 hours.
4/ We ( not phone)___________________each other since last week.
5/ Mr. Tan (be)__________________ in Hong Kong since June.
6/ Nam hates ( play)______________ video games because it’s waste of time.
7/ Ba asked Lan ( lend)_________________ him her history book.
8/ Betty is putting on weight. She should ( have)_______________ a balanced diet.
9/ I ( lend )______________you the story when I‘ve finished (read)__________________ it.
10/ I normally try to avoid( borrow)____________________ money.
11/ Alexander Graham Bell ( invent)____________ the telephone in 1876.
12/ The moon (move)___________ around the Earth.
13/ ______ Ba ( drive)_______________ his father’s car ? No. He isn’t old enough to drive a car.
14/ The plane (leave)_____________ Chicago at 11.30, and (arrive)____________ in Atlanta at 2.45.
15/ I apologized for( make)_______________ a mistake.
16/ What kind of book ________ you (use)___________read when you were a child.
17/ My brother (buy)_____________ a new bike 3 days ago.
18/ The shopping mall (open )_______________ in Nam’s neighborhood today.
19/ How long _____ you (have)______________ this camera?
20/ Look at ! The bus (come)___________________.
21/ Look at those black clouds! It (rain)_____________________.
22/ Where is Jane?- She (be)_________busy (do)_____________her Math ex.
23/ _____ you enjoy ( read)_________________ folk tales? –Yes.
24/ I (finish)_________________ the test in a few minutes.
25/ On my way to school, I (lose)______________ my pen, so I had (buy)___________a new one.
26/ The prince (choose)______________ Little Pea to be his wife.
27/ When____ they (build)______________ that cattle?- In the 18th century.
28/ Tomorrow, my class ( go camping)________________ before finishing the school year.
29/ What ___ Na (do)__________________ on the weekend? She (watch)__________________ a soccer
match with Nam at the Town Ground.
30/ She (ride)___________ her bike too fast, so she (have) ___________ an accident yesterday.
31/ My mother (go) .............................to that pagoda every month.
32/ I (live).............................. here since last week.
II/ Complete the second sentence so that it has a similar meaning to the first:
1. Miss Jackson said to me“ Please wait for me outside the office.”
- Miss Jackson asked me………………………………………………………………………………
2. Miss Jackson said “ Tim should work harder on his Spanish pronunciation”
- Miss Jackson said …………………………………………………………………………………
3. Mary said to the policeman: “ Please show me the way to the hotel”
- Mary asked the policeman............................................................................................
4. Miss Jackson said to Tim: “ You should improve your Spanish pronunciation”
- Miss Jackson said Tim................................................................................................
5. My mother said, “ Turn off all the lights before you leave. “
My mother told ...............................................................................................................................
6. Why don’t we help Mom with the washing up ?
Shall ……………............................................................................................................................
III/Listening comprehension: Listen to the tape, then write T/ F :
1/ ………… Na does not know the neighborhood very well.
2/………….. Na doesn’t like movies.
2/………… The Newcomer is an English film.
3/………… Na will go to the photo exhibition this weekend.
4/………… Na won’t go to the English speaking contest.
5/………… Na will go to the soccer match with Nam.
6/………… The soccer match starts at 2 o’clock.
IV/Pronunciation:
A. Pick out the word having the sound different from the others
1. a. speaking b. weather c. cheaper d. please
2. a. served b. opened c. contacted d. offered
3. a. chemistry b. school c. chair d. character
4. a. played b. helped c. stayed d. listened
5. a. invited b. started c. emigrated d. worked
6. a. safe b. refrigerator c. orphanage d. straight
B. Pick out the word having the main stress different from the others
1. a. agreement b. pioneer c. volunteer d. engineer
2. a. conversation b. information c. international d. precaution
3. a. sociable b. demonstrate c. annoy d. generous
4. a. socket b. transmit c. appear d. traditional
5.a. festival b. excited c. traditional d. immediately
6.a. meaning b. mother c. promise d. revise
V/Grammar and vocabulary: Choose the best option
1/ I have studied English………………. 3 years.
a/ in b/ for c/ at d/ of
2/ I met your sister……………... October 25th.
a/ in b/ at c/ on d/ of
3/ He used……………… for a foreign company.
a/ work b/ to work c/ to working d/ worked
4/ You should try to learn the new words by………………….
a/ heart b/ head c/ eyes d/ mouth
5/ Mr Thanh………………. me to apply for the job.
a/ said b/ talked c/ spoke d/ told
6/ ………………. have you lived here? – for about 10 years.
a/ How far b/ How often c/ How long d/ How deep
7/ Vietnamese is our………………..
a/ language b/ speaking c/ voice d/ mother tongue
8/ Lan enjoys……………… story books.
a/ reading b/ to read c/ read d/ reads
9/ Alexander Graham Bell was born ...............................March 3, 1847.
A. in B. on C. at D. for
10/ She said her son could reach her ..............................8 645 141 after lunch.
A. on B. about C. of D. at
11/ The children are old enough to look after ...............................
A. themselves B. ourselves C. herself D. yourselves
12/ We ...................................in this neighborhood since 2005.
A. has lived B. lived C. have lived D. live
13/ Tam is not ............................... go to school.
A. enough old to B. enough old for C. old enough for D. old enough to
14/ I enjoy...............................in the rain.
A. walking B. walk C. to walk D. walked
15/ The sun ............................ in the East.
A. rise B. rose C. rises D. rising
16/ My teacher told me…………........................more time in English. A. to spend B. spent C. spend D. spending
GIUP VOI NHA