Bài 1: Giải các phương trình sau:
Câu 1.
a) 3x – 2 = 2x – 3 b) 3 – 4y + 24 + 6y = y + 27 + 3y
c) 7 – 2x = 22 – 3x d) 8x – 3 = 5x + 12
e) x – 12 + 4x = 25 + 2x – 1 f) x + 2x + 3x – 19 = 3x + 5
g) 11 + 8x – 3 = 5x – 3 + x h) 4 – 2x + 15 = 9x + 4 – 2x
2. a) 5 – (x – 6) = 4(3 – 2x) b) 2x(x + 2)2 – 8x2 = 2(x – 2)(x2 + 2x + 4)
c) 7 – (2x + 4) = – (x + 4) d) (x – 2)3 + (3x – 1)(3x + 1) = (x + 1)3
e) (x + 1)(2x – 3) = (2x – 1)(x + 5) f) (x – 1)3 – x(x + 1)2 = 5x(2 – x) – 11(x + 2)
g) (x – 1) – (2x – 1) = 9 – x h) (x – 3)(x + 4) – 2(3x – 2) = (x – 4)2
i) x(x + 3)2 – 3x = (x + 2)3 + 1 j) (x + 1)(x2 – x + 1) – 2x = x(x + 1)(x – 1)
3. a) 1,2 – (x – 0,8) = –2(0,9 + x) b) 3,6 – 0,5(2x + 1) = x – 0,25(2 – 4x)
c) 2,3x – 2(0,7 + 2x) = 3,6 – 1,7x d) 0,1 – 2(0,5t – 0,1) = 2(t – 2,5) – 0,7
e) 3 + 2,25x +2,6 = 2x + 5 + 0,4x f) 5x + 3,48 – 2,35x = 5,38 – 2,9x + 10,42
4.a) (5x-2)/3=(5-3x)/2 b)(10x+3)/12=1+((6+8x)/9)
c)2(x+3/5)=5-(13/5+x) d)7/8x-5(x-9)=(20x+1,5)/6
e)(7x-1)/6+2x=(16-x)/5 f)4(0,5-1,5x)=-(5x-6)/3
g)(3x+2)/2-(3x+1)/6=5/3+2x h)(x+4)/5-(x+4)=x/3-(x-2)/2
i) (4x+3)/5-(6x-2)/7=(5x+4)/3+3 k)(5x+2)/6-(8x-1)/3=(4x+2)/5-5
m)(2x-1)/5-(x-2)/3=(x+7)/15 n)1/4(x+3)=3-1/2(x+1)-1/3(x+2)
Bài 2 Tìm giá trị của k sao cho:
a. Phương trình: 2x + k = x – 1 có nghiệm x = – 2.
b. Phương trình: (2x + 1)(9x + 2k) – 5(x + 2) = 40 có nghiệm x = 2
c. Phương trình: 2(2x + 1) + 18 = 3(x + 2)(2x + k) có nghiệm x = 1
Conditional Sentence Type I : Câu điều kiện loại 1
Question I. Put the verbs in brackets into the correct form.
(Chia những động từ trong ngoặc đơn vào đúng hình thức).
1.If we (recycle) ________ more, we will help the Earth.
2. Factories (not dump) ______________waste into rivers if the government fine them heavily.
3. If people travel to work by bus, there (be) ______________fewer car fumes.
4. We (save) ________________thousands of trees if we don’t waste paper.
5. If we use water carefully, more people (have) ______________fresh water.
6. If the factory ( continue) ________________ dumping poison into the lake, all the fish and other aquatic animals will die.
7.If we recycle more, we (help) ________________ the Earth.
8. If people (travel)________________to work by bus, there will be fewer car fumes.
9. We save thousands of trees if we (not waste)_______________don’t waste paper.
10. Factories don’t dump waste into rivers if the government ( fine) _______________ them heavily.
Question II. Put the verbs in brackets into the correct form.
(Chia những động từ trong ngoặc đơn vào đúng hình thức).
1. If he (study) ________________ harder, he can pass an exam.
2. She may be late if she (not hurry) ________________.
3.If you study harder, you (pass) ________________ the exam.
4. If you are kind to me, I (be) _______________ good to you.
5.If he (give) _______________ up smoking, as his doctor orders, he will be soon well again.
6. You (not pass) _______________ your driving test unless you drive more carefully.
7. He’ll be ill if he (not stop) ________________ worrying so much.
8. We’ll go to the beach tomorrow if it ( be) ________________ nice.
Question III.Combine each pair of sentences to make a conditional sentence type 1.
(Kết hợp mỗi cặp câu sau để tạo thành câu điều kiện loại 1)
1.Students are more aware of protecting the environment. Teachers teach environmental issues at school.
If …………………………………………………………………………………………………
2.Light pollution happens. Animals change their behaviour patterns.
If ………………………………………………………………………………………………..
3.The levels of radioactive polluion decrease.We switch from nuclear power to renewable energy sources.
If …………………………………………………………………………………………………..
4.The water temperature increases.Some aquatic creatures are unable to reproduces.
If…………………………………………………………………………………….....................
5.People get more diseases.The water is contaminated.
If …………………………………………………………………………………………………
Conditional Sentence Type II : Câu điều kiện loại 2
Question IV. Put the verbs in brackets into the correct form.
(Chia những động từ trong ngoặc đơn vào đúng hình thức).
1. If I were you, I (look) ________________ for a new place to live.
2. If Lan wasn’t ill, she ( join) ________________ out tree planting activity.
3.If there were fewer cars on the road, there (be) ________________ less pollution.
4.If people really cared about the environment, they ( not dump ) ________________ waste into the lake.
5.If there was no fresh water in the world, what (happen) ________________.
6.If you (be) ________________ the president, what would you do to help the environment ?
7.They get sick so often.If they exercised more, they (be) ________________ heathier.
8.If I (have) ________________ one million US dollars , I would build more parks in our city.
9.Quan’s mother is unhappy.If Quan tided his room every day, his mother (not be) __________
so upset.
10.There isn’t a garden at house .If there were, we (grow) ________________ vegetables.
Question V.Write a conditional sentence type 2 for each situation, as in the example.
Viết loại câu điều kiện loại 2 cho mỗi tình huống , như trong ví dụ.
1.People throw rubbish in the street.The street doesn’t look attractive.
If people didn’t throw rubbish in the street, it would look attractive.
2.There are so many billboards in our city. People can not enjoy the view.
If ………………………………………………………………………………………………….
3.There is so much light in the cityat night.We can not see the stars clearly.
If …………………………………………………………………………………………………
4.We turn on the heater all the time. We have to pay three million dong for electricity a month.
If …………………………………………………………………………………………………
5.The karaoke bar makes so much noise almost every night. The residents complain to its owner.
If …………………………………………………………………………………………………
6.She has a headache after work every day.She works in a noisy office.
If ………………………………………………………………………………………………….
C.READING
Question I Read the passage and choose the correct answer A, B, C or D.
Environmental pollution is a term that (1)______ to all the ways by which man pollutes his surroundings. Man dirties the air with (2)______ gases and smoke, (3)_____ the water with chemicals and other substances, and damages the (4)_____ with too many fertilizers and pesticides. Man also pollutes his surroundings (5)_____ various other ways. For example, people ruin natural beauty by (6)_____ junk and litter on the land and in the water.
Environmental pollution is one of the most serious problems facing mankind today. Air, water and soil are necessary to the (7)_____ of all living things. Badly polluted air can cause illness, and (8)_____ death. Polluted water kills fish and other (9)_____ life. Pollution of soil reduces the amount of land that is available for growing food. Environmental pollution also brings ugliness to man’s (10)_____ beautiful world.
1. A. means B. refers C. provides D. reduces
2. A. thick B. natural C. exhaust D. influent
3. A. purifies B. pumps C. sprays D. poisons
4. A. soil B. forests C. streets D. beaches
5. A. on B. in C. by D. with
6. A. spoiling B. leaving C. scattering D. gathering
7. A. survival B. environment C. development D. growth
8. A. so B. ever C. too D. even
9. A. animal B. marine C. human D. plant
10. A. nature B. natural C. naturally D. natured
Question II Read the passage and answer the questions.
Visual pollution has a greater effect on people than you may think. I remember when I went to a big city, I was really scared because so much graffiti on the buildings' wall. Then I looked up, and I saw a lot of power lines over my head. Although they were not dangerous, I still felt unsafe since I thought they might fall down. These things prevented me from enjoying the beautiful sights of the city.
I also remember the time when I was a student at a university. Once I was so busy with my assignments that I did not tidy my room for two weeks. Looking at the messy room caused me so much stress that I did not want to study. Then I decided to clean the room and put my thing in their proper places. I also bought a small plants and placed it in a corner of the room. These simple actions increased my motivation and helped me to focus on my learning.
Questions.
1.How did the author feel when she saw the power lines?
………………………………………………………………………………………………….
2.Why did she have that feeling?
……………………………………………………………………………………………………
3. What was she busy with?
……………………………………………………………………………………………………
4. What happened when she looked the messy room?
……………………………………………………………………………………………………
5. What did she do for her room?
……………………………………………………………………………………………………