Exercise 2. Give the correct form of each verb in brackets to complete the following sentences:

1. You are expected (remember) ______ the safety regulations of the staff.

2. The wanted man decided (disguise) ______ himself by (dress) ______ as a woman.

3. That was a very strange question (ask) ______.

4. It was very kind of you (show) ______ me the way to the bus station.

5. It was quite a surprise (see) ______ him again.

6. I enjoy (be) ______ busy. I don't like it when there is nothing (do) ______.

7. Let's hurry! We must finish (redecorate) ______ the office before 3:00 today.

8. As we don't agree (carry out) ______ a proposal we generally avoid (discuss) ______the project.

9. Please stop (interrupt) ______ when I'm explaining something to you. You (ask) ______ questions at the end.

10. He admitted (enter) ______ the house but denied (steal) ______ the money.

Exercise 1. Give the correct form of each verb in brackets to complete the following sentences:

1. I am looking forward to (see) _____ my family.

2. He is tired of (do) ______ the same things every day.

3. We arranged (meet) ______ each other for a New Year party.

4. He urged us (work) ______ faster so as to finish the project on time.

5. I wish (see) ______ the manager of the company.

6. It's no use (persuade) ______ my father to change his mind.

7. He warned the children (not touch) ______ the wire.

8. I can't understand her (behave) ______ like that.

9. He tried (explain) ______ but she refused (listen) ______.

10. At dinner the guest that my parents invited annoyed me by (smoke) ______ between the courses.

Giải các phương trình sau:

a.\(3\sqrt{18x}-5\sqrt{8x}+4\sqrt{50x}=38\)

b.\(3\sqrt{12x}-2\sqrt{27x}+4\sqrt{3x}=8\)

c.\(\sqrt{4x-20}+\sqrt{x-5}-\dfrac{1}{3}\sqrt{9x-45}=4\)

Tính giá trị các biểu thức:
a.\(\left(7\sqrt{48}+3\sqrt{27}-2\sqrt{12}\right)\sqrt{3}\)
b.\(\left(12\sqrt{50}-8\sqrt{200}+7\sqrt{450}\right):\sqrt{10}\)
c.\(\left(2\sqrt{6}-4\sqrt{3}+5\sqrt{2}-\dfrac{1}{4}\sqrt{8}\right)3\sqrt{6}\)
d.\(3\sqrt{15\sqrt{50}}+5\sqrt{24\sqrt{8}}-4\sqrt{12\sqrt{32}}\)
 

Rút gọn các biểu thức sau:

\(A=\dfrac{a^2-1}{3}\sqrt{\dfrac{9}{\left(1-a\right)^2}}\) với a < 1

\(B=\sqrt{\left(3a-5\right)^2}-2a+4\) với a < \(\dfrac{1}{2}\)
\(C=4a-3-\sqrt{\left(2a-1\right)^2}\) với a < 2
\(D=\dfrac{a-2}{4}\sqrt{\dfrac{16a^4}{\left(a-2\right)^2}}\) với a < 2