7 more slowly than

8 better than

9 more quickly 

10 more powerful than

11 more easily

12 harder

13 more carefully

14 better than

15 more frequently than

16 more than

Bài 2

1 more carefully

2 more slowly

3 ko có từ để điền

4 more often

5 earlier

6 farther

7 reliable

8 more peacefully than

9 more easily

10 better

11 worse

12 more quiet

13 more quiet 

14 bigger

\(\frac{2}{x-1}+\frac{5}{x+2}=\frac{13}{x^2+x-2}.\)

\(\Leftrightarrow\frac{2\left(x+2\right)}{\left(x-1\right)\left(x+2\right)}+\frac{5\left(x-1\right)}{\left(x+2\right)\left(x-1\right)}=\frac{13}{x^2+x-2}\)

\(\Leftrightarrow\frac{2x+4}{x^2+x-2}+\frac{5x-5}{x^2+x-2}=\frac{13}{x^2+x-2}\)

\(\Leftrightarrow\frac{7x-1}{x^2+x-2}=\frac{13}{x^2+x-2}\)

\(\Leftrightarrow7x-1=13\)

\(\Leftrightarrow7x=14\)

\(\Leftrightarrow x=2\)

\(\frac{2x-1}{x-3}=\frac{6x-1}{3x+2}\)

\(\Leftrightarrow\left(2x-1\right)\left(3x+2\right)=\left(x-3\right)\left(6x-1\right)\)

\(\Leftrightarrow6x^2+4x-3x-2=6x^2-x-18x+3\)

\(\Leftrightarrow4x-3x+x+18x=3+2\)

\(\Leftrightarrow20x=5\)

\(\Leftrightarrow x=\frac{1}{4}\)

b

h) Ta có: \(\left\{{}\begin{matrix}\left|x-7\right|=\left|7-x\right|\ge7-x\\\left|x+5\right|\ge x+5\end{matrix}\right.\)

\(\Rightarrow\left|7-x\right|+\left|x+5\right|\ge\left(7-x\right)+\left(x+5\right)\)

\(\Rightarrow\left|x-7\right|+\left|x+5\right|\ge12\)

\(\Rightarrow H\ge12\)

Dấu "=" xảy ra \(\Leftrightarrow\left\{{}\begin{matrix}7-x\ge0\\x+5\ge0\end{matrix}\right.\)

\(\Leftrightarrow\left\{{}\begin{matrix}x\le7\\x\ge-5\end{matrix}\right.\)

\(\Leftrightarrow-5\le x\le7\)

Vậy, Min_H = 12 \(\Leftrightarrow-5\le x\le7\)

a) Ta có: \(A=2x^2-8x+10\)

\(=2\left(x^2-4x+5\right)\)

\(=2\left(x^2-4x+2^2+1\right)\)

\(2\left[\left(x-2\right)^2+1\right]\)

Ta lại có: \(\left(x-2\right)^2\ge0\)

\(\Rightarrow2\left[\left(x-2\right)^2+1\right]\ge2\)

\(\Rightarrow A\ge2\)

Dấu bằng xảy ra \(\Leftrightarrow\left(x-2\right)^2=0\)

\(\Leftrightarrow x-2=0\)

\(\Leftrightarrow x=2\)

Vậy Min_A = 2 \(\Leftrightarrow x=2\)

IV. Choose the underlined part that needs correction

1 D (impress $\rightarrow$ to impress)

2 C (so that $\rightarrow$ so as to / in order to)

3 C (don't tell $\rightarrow$ won't tell)

4 A (don't have to $\rightarrow$ mustn't)

5 B (quietly $\rightarrow$ quiet)

V. Put the sentences into the correct order to make a complete conversation

1 F (What can I do for you?)

2 D (Could you give me some information, please?)

3 B (I'd like to visit a market. Would you mind suggesting one?)

4 G (I suggest going to the Stamps and Coins Market.)

5 E (That sounds interesting. What time does it open?)

6 A (It opens from 10 am to 6 pm.)

7 C (Thank you very much.)

8 H (You're welcome.)

C nha

______ (1) known for his Theory of Relativity, Albert Einstein has been regarded as one of the greatest scientists in human society.
A. Good     B. Better     C. Best     D. Goodest

Rewrite:

Mr.Hieu started teaching English at Thang Long Secondary school 4 years ago.

=> Mr.Hieu has _been teaching English at Thang Long Secondary school for 14 years___

Mr. Hieu has taught English at Thang Long Secondary school for 4 years