1. B. that 

2. D. give 

3. C. to go

4. C. to equip

5. B. for him

6. A. told

7. A. to improve

8. C. takes

9. A. whether

10. A. is believed

11. A. who 

12. B. it 

1. Before

2. as soon as

3. Before

4. as soon as

5. Before

6. unti

7. When 

8. until

9. before

10. before

(91) B. when

(92) D. not

(93) D. that

(94) C. and

(95) C. treat

(96) C. once

(97) B. saving

(98)  A. otherwise

(99)  A. after

(100) D. doctorates

14. I don't eat lunch, my brother doesn't eat lunch, either

→ Neither do I eat lunch, nor does my brother eat lunch.

15. Both my husband and I graduated from this university

→ Not only did my husband graduate from this university, but I did as well.

16. " If I were you, I wouldn't leave home " he said

→ He said that if he were me, he wouldn't leave home.

17. " Could you please take this chair away ? " the girl said

→ The girl asked if she could please take this chair away.

18. " Let's open a small shop before a big business " my friend said

→ My friend suggested that we open a small shop before a big business. 

19. " Would you like to invest in our project ? " he said         

→ He asked if I would like to invest in their project.

20. They suppose that he makes much attempt to succed       

→ They suppose that he makes much effort to succeed.

21. How was she made to cry by him ?                 

→ How did he make her cry?

22. I am always encouraged by the teacher to apply for the best high school             

→ The teacher always encourages me to apply for the best high school.

23. We all like the house. It looks ancient and very nice           

→ We all like the house as it looks ancient and very nice.

24. We don't like this car. My dad drives it             

→ We don't like this car as my dad drives it.

25. Should you visit my country, I will take you to many interesting places           

→ If you visit my country, I will take you to many interesting places.

Build sentences

1. English / speak / everywhere / by even children

→ English is spoken everywhere, even by children.

2. This picture / paint / by a famous painter 100 years ago

→ This picture was painted by a famous painter 100 years ago

3. At the monument , Nam and his friend ( go) are going shopping at the mall.

4. On friday , I (have ) have English.

5. He (like) likes apples, but he (not like ) doesn't like bananas.

6. Tom (be) is my friend. He (play) plays sports every day.

7. He (teach) teaches English in a buy school in town.

8. He usually (read) reads book (listen) listens to music of (watch) watches tv.

(1) C

(2) D

(3) A

(4) B

(5) A

(6) D 

(7) C 

(8) A

(9) D 

(10) B

1. will send

2. needs

3. will go

4. are

5. opens

6. will gain

7. has

8. leaves

9. will make

10. turn

1. Though my English is bad, I have passed the English exam with a good mark.

2. Once he died, his children decided to share everything he resigned.

3. My friends work overtime so that they can make more money.

4. Thanks to my confidence, I am accepted to the company.

5. If you hadn't been absent from his lesson, you would have met the teacher.

     Unless you were absent from his lesson, you would have met the teacher.

6. They started living in this house 15 years ago.

7. This room has been occupied for the first time.

8. It's been 6 weeks since he did yoga.

9. I have never known a boy as active as this one.

10. It's the first time they have made such a stupid mistake.

11. It's the first time we have gotten into this apartment.

12. For you to have had a better mark, you should have worked harder.

13. Although I came to class late, I had done the homework carefully.

a) \(\log_2\left(\log_{\dfrac{1}{3}}x\right)< 3\)

Điều kiện:

\(\left\{{}\begin{matrix}x>0\\\log_{\dfrac{1}{3}}x>0\end{matrix}\right.\) \(\Leftrightarrow\left\{{}\begin{matrix}x>0\\x< 1\end{matrix}\right.\) \(\Leftrightarrow0< x< 1\)

Phương trình tương đương:

\(\log_2\left(\log_{\dfrac{1}{3}}x\right)< 3\)

\(\Leftrightarrow\log_{\dfrac{1}{3}}x< 8\)

\(\Leftrightarrow x>\left(\dfrac{1}{3}\right)^8\) 

\(\Leftrightarrow x>\dfrac{1}{6561}\) (loại)

\(\dfrac{5-2x}{3}=\dfrac{4x-1}{-5}\)

\(\Leftrightarrow-5\left(5-2x\right)=3\left(4x-1\right)\)

\(\Leftrightarrow-25+10x=12x-3\)

\(\Leftrightarrow2x=-22\)

\(\Leftrightarrow x=-11\)