16. She told me she was going to the party with her mother.
17. They said they had plenty of time to do their work.
18. He said that was the book I had been looking for.
19. They wanted to know when they had told me that.
20. They wanted to know if I had seen the new film.
21. She told me not to put my elbow on the table.
22. He asked me to write my name clearly on the top.
23. He ordered me not to wipe my dirty fingers on his clothes.
24. He asked me to wait there under the tree until the rain stopped.
25. She told me to come and see her whenever I had a few hours to spare.

B. WRITING

I. Circle the letter A, B, C or D under the word/ phrase that needs correcting.

B (if to tell → whether to tell)

C (didn’t have → wouldn’t have)

B (suggest → suggests)

II. Rewrite these sentences begin with the words given.

She asked me how to deal with school pressure.

He advised me to call the helpline because they could give me good advice.

III. Write an email (100 - 120 words) to a friend of yours telling him/her about one city that you would like to visit the most.

Dear [Friend's Name],

I hope you're doing well! I wanted to share with you about a city I’m really excited to visit – Paris, France. I’ve always dreamed of exploring its rich culture, stunning architecture, and delicious cuisine. The Eiffel Tower, Louvre Museum, and Notre-Dame Cathedral are some of the iconic landmarks I can’t wait to see.

What attracts me most is the city’s artistic vibe and romantic atmosphere. I plan to visit during the spring, around April, when the weather is pleasant, and the flowers are in full bloom. I’d love to stroll along the Seine River and enjoy a coffee at a charming café.

I hope to make this trip next year. Let me know if you have any tips or recommendations!

Best,
[Your Name]


=)))

IV. Give the correct form of the word in CAPITAL to complete each of the following sentences:

I think Tom and Mary have known each other since their childhood.

My brother feels relaxed when he’s playing the guitar.

Lan was upset because her parents misunderstood her.

I often suffer from depression during the winter time.

Everything was amazing to me when I visited Gold Coast for the first time.

When you grow up, you’ll feel you want more independence and responsibility.

Negative feelings will make you feel pessimistic about your future.

Sarah is frustrated at her low rank in this semester.

They asked me for some advice on how to use the machine.

Don’t be so critical about everything!

Give the correct form and tense of the verbs in brackets:

Tony doesn’t know how to empathize with the poor.

Sue said that she had assured Tom she would come to the game.

I hate to disappoint you, but I’m just not interested.

Mia told me to take a break after studying for two hours.

Ms. Brown taught me how to develop healthy habits at my age.

Cho biểu thức:

A=x+1x−1vaˋB=(1x−1+xx−1)⋅x−x2x+1A=x​−1x​+1​vaˋB=(x​−11​+x−1x​​)⋅2x​+1x−x​​

với x≥0,x≠1x≥0,x=1.

Bước 1: Rút gọn BB.

B=(1x−1+xx−1)⋅x−x2x+1B=(x​−11​+x−1x​​)⋅2x​+1x−x​​

Nhận thấy x−1=(x−1)(x+1)x−1=(x​−1)(x​+1), ta có:

B=(1x−1+x(x−1)(x+1))⋅x(x−1)2x+1B=(x​−11​+(x​−1)(x​+1)x​​)⋅2x​+1x​(x​−1)​

Quy đồng và rút gọn:

B=(x+1+x(x−1)(x+1))⋅x(x−1)2x+1B=((x​−1)(x​+1)x​+1+x​​)⋅2x​+1x​(x​−1)​B=(2x+1(x−1)(x+1))⋅x(x−1)2x+1B=((x​−1)(x​+1)2x​+1​)⋅2x​+1x​(x​−1)​B=xx+1B=x​+1x​​

Bước 2: Tính P=A⋅BP=A⋅B.

P=x+1x−1⋅xx+1=xx−1P=x​−1x​+1​⋅x​+1x​​=x​−1x​​

Kết quả:

P=xx−1P=x​−1x​​

Thay PP vào phương trình:

2⋅xx−1=x+12⋅x​−1x​​=x​+1

Giải phương trình:

2xx−1=x+1x​−12x​​=x​+1

Nhân hai vế với x−1x​−1:

2x=(x+1)(x−1)2x​=(x​+1)(x​−1)2x=x−12x​=x−1x−2x−1=0x−2x​−1=0

Đặt t=xt=x​, phương trình trở thành:

t2−2t−1=0t2−2t−1=0

Giải phương trình bậc hai:

t=1±2t=1±2​

Vì t=x≥0t=x​≥0, ta chọn t=1+2t=1+2​.

x=1+2⇒x=(1+2)2=3+22x​=1+2​⇒x=(1+2​)2=3+22​

Kết quả:

x=3+22x=3+22​

Thay PP vào phương trình:

2(xx−1)2−xx−1=02(x​−1x​​)2−x​−1x​​=0

Đặt t=xx−1t=x​−1x​​, phương trình trở thành:

2t2−t=0⇒t(2t−1)=02t2−t=0⇒t(2t−1)=0t=0hoặct=12t=0hoặct=21​

Với t=0t=0:

xx−1=0⇒x=0⇒x=0x​−1x​​=0⇒x​=0⇒x=0

Với t=12t=21​:

xx−1=12⇒2x=x−1⇒x=−1x​−1x​​=21​⇒2x​=x​−1⇒x​=−1

Phương trình vô nghiệm vì x≥0x​≥0.

Kết quả:

x=0x=0

**Exercise 1:**

1. **F. discover**  
2. **I. annual**  
3. **G. hesitate**  
4. **H. urgent**  
5. **J. possess**  
6. **E. admire**  
7. **A. majestic**  
8. **C. peak**  
9. **B. consider**  
10. **D. occur**  

---

**Exercise 2:**

1. **majestic**  
2. **consider**  
3. **urgent**  
4. **discover**  
5. **annual**  
6. **peak**  
7. **possess**  
8. **occur**  
9. **admire**  
10. **hesitate**

Exercise 5:

The international school hired a native speaker of Spanish to teach their students.

The online dictionary provides instant access to a vast collection of words and their meanings.

The mathematician created a statistical model to analyse the probability of a rare event occurring.

The university offers a bilingual education program, where students learn subjects in two languages.

The teacher will go over the homework assignment and answer any questions the students may have.

The exchange student from Japan will study with us in the US this semester. She shares with us many interesting things about Japanese culture.

The restaurant received a five-star rating, meeting the highest standard of culinary excellence.

Our student often uses the library’s computer to look up the definition of an unfamiliar word.

The immigrant chose to leave behind their homeland and adapt to a new country with different customs and norms.

I like my new English teacher because she explained the rules of grammar in a very clear and easy way.

III. GRAMMAR:

C. would receive

B. had come

B. to know

D. was

A. had spoken

A. who

A. who

C. which

C. which

B. whose

Exercise 5:

The international school hired a native speaker of Spanish to teach their students.

The online dictionary provides instant access to a vast collection of words and their meanings.

The mathematician created a statistical model to analyse the probability of a rare event occurring.

The university offers a bilingual education program, where students learn subjects in two languages.

The teacher will go over the homework assignment and answer any questions the students may have.

The exchange student from Japan will study with us in the US this semester. She shares with us many interesting things about Japanese culture.

The restaurant received a five-star rating, meeting the highest standard of culinary excellence.

Our student often uses the library’s computer to look up the definition of an unfamiliar word.

The immigrant chose to leave behind their homeland and adapt to a new country with different customs and norms.

I like my new English teacher because she explained the rules of grammar in a very clear and easy way.

III. GRAMMAR:

C. would receive

B. had come

B. to know

D. was

A. had spoken

A. who

A. who

C. which

C. which

B. whose