Cho a, b > 0 thỏa mãn  $\frac{1}{a^2}+\frac{1}{b^2}=2$. Chứng minh a + b ≥ 2.

Giải phương trình:  $\frac{2}{x-1}=\frac{1+2x}{x+2}$

The passage mainly discusses _______.

A. adults differences in learning a foreign language

B. children’s ability to learn a language

C. the age factor in learning language fast

D. research into language acquisition

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blank 35.

A. Unless           

B. If                   

C. Provided         

D. Even if

Giải phương trình: (x + 1)(x² – x + 1) – 2x = x(x – 1)(x + 1).

Phân tích đa thức thành nhân tử: (x – y)² + 4(x – y) – 12.

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blank 34.

A. as                 

B. so                    

C. than                 

D. then

Số lượng các nghiệm của bất phương trình  $\frac{1}{C_n^1}-\frac{1}{C_{n+2}^2}>\frac{7}{6C_{n+4}^1}$.

B. 11; 

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blank 33.

A. up                 

B. with                    

C. to                    

D. at

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blank 32.

A. out                 

B. in                    

C. to                    

D. up

Read the following passage and mark the letter A, B, C, or D on your answer sheet to indicate the correct word or phrase that best fits each of the numbered blank 31.

A. friendship

B. relationship

C. scholarship

D. membership

Matthew ran away from home. Matthew thought no one loved him.

A. Matthew ran away from home as when Matthew thought no one loved him.

B. Matthew ran away from home because Matthew thought no one loved him.

C. Thought that no one loved him, Matthew ran away from home.

D. Matthew thought no one loved him and so that Matthew ran away from home.

b) Trong các số trên, những số nào có hai ước, những số nào có nhiều hơn hai ước?

I judge by the car he drives. I’d say he’s got a pretty good job.

A. Because I judge by the car he drives, I’d say he’s got a pretty good job.

B. When I judge by the car he drives, I’d say he’s got a pretty good job.

C. Unless I judge by the car he drives, I’d say he’s got a pretty good job.

D. Judging by the car he drives, I’d say he’s got a pretty good job.

a) Tìm các ước của mỗi số sau: 2, 3, 4, 5, 6, 7, 17, 34.

Gọi X là tập hợp các số tự nhiên gồm 6 chữ số đôi một khác nhau được tạo thành từ các chữ số 1, 2, 3, 4, 5, 6, 7, 8, 9. Chọn ngẫu nhiên một số từ tập hợp X. Tính xác suất để số được chọn chỉ chứa 3 chữ số lẻ.

I did far better than Chris in the exam.

A. Chris didn’t do as well as me in the exam.           

B. I did farther than Chris in the exam.

C. Chris did worse than me in the exam.                   

D. I didn’t do worse than Chris had done.

Tìm x biết: x³ + 27 + (x + 3)(x – 9) = 0.

I am on the tenth page of the report I am writing.

A. I have completed writing ten pages of the report.

B. Tonight I’m going to write the tenth page of the report.

C. So far I have written ten pages of the report.

D. I have finished writing the report on the tenth page.

Tìm số hạng chứa x trong khai triển  ${\left(1+2\sqrt{x}-3\sqrt[3]{x}\right)}^4$.

A. 144x; 

B. –72x; 

“Why did you apply for the job?” her mother asked.

A. Her mother wanted to know the reason she applied for the job.

B. Her mother wanted to know the reason she had applied for the job.

C. Her mother wanted to know why did she apply for the job.

D. Her mother wanted to know why had she applied for the job.

I’d go mad if I had to do a dead-end job like to working on a supermarket checkout.

A boring                     

B. monotonous

C. fascinating             

D. demanding

Thanks to lifelong learning, people’s level of awareness has improved significantly.

A. has increases          

B. has declined

C. has gone up           

D. has bettered

Nowadays, lifelong learning is facilitated by e-learning platforms.

A. insisted                  

B. assisted

C. assessed                 

D. accessed

Trong hệ tọa độ Oxy, cho ba điểm A(1; 1); B(2; –1); C(4; 3). Tọa độ điểm D để ABDC là hình bình hành là

A. D(1; 3); 

B. D(3; 5); 

Lucy has just finished her A-levels and she has got a place at university, but she would really like a break from the academic world. Therefore, she decides to take a gap year and travel around the world.

A. a year off            

B. a year out

C. a year away  

D. a year’s trip

Hung: “How much do you earn in your new job?” - Xen: “ ______”

A. That’s a bit nosey of you.

B. You shouldn’t ask that.

C. I’m not your slave.

D. You can be so bossy at times!

Trong hệ tọa độ Oxy, cho ba điểm A(1; 3); B(–1; 2); C(–2; 1). Tìm tọa độ của vectơ  $\overrightarrow{AB}-\overrightarrow{AC}$

A. (–5; –3); 

B. (1; 1); 

Lan: “Do you think your schooldays are the happiest days of your life? - Nam: “___________”

A. I believe schooldays last forever.

B. Were you happy during your schooldays?

C. I think so. We are worry-free and full of ambitions in the schooldays.

D. We didn’t have schooldays when we were at school.

Trong mặt phẳng với hệ tọa độ Oxy cho hình bình hành OABC có tọa độ điểm A(3; 1), C(–1; 2) (tham khảo hình vẽ bên).

Số phức nào sau đây có điểm biểu diễn là điểm B?

A. z₁ = –2 + 3i; 

B. z₂ = 2 + 3i; 

A ___ described what he saw moments after the car bomb had exploded.

A. passer-by            

B. by-passer

C. pass-by                  

D. by-pass

Trong hệ trục tọa độ Oxy cho hình bình hành OABC, điểm C thuộc trục hoành. Khẳng định nào sau đây đúng?

A.  $\overrightarrow{AB}$ có tung độ khác 0; 

B. Hai điểm A, B có tung độ khác nhau; 

Hayden spent ___ money buying food that he didn’t have enough left to buy a soft drink.

A. such a                    

B. a lot

C. too many               

D. so much

It seems that ___ my uncle travels abroad he forgets to take something he needs.

A. whenever            

B. by the time

C. not until                 

D. however

Số nghiệm thực của phương trình  $4^{x-1}+2^{x+3}-4=0$ là:

A. 1; 

B. 2; 

Phương trình  $4^{x^2+2}=16$ có số nghiệm là

A. 1; 

B. 2; 

___ with passion for teaching help raise the test scores of their students.

A. Highly motivated tutor

B. Highly motivated tutors

C. Tutors are highly motivated

D. Being highly motivated tutors

Phương trình  ${\log }_{x}2+{\log }_{2}x=\frac{5}{2}$

A. Vô nghiệm; 

B. Có một nghiệm âm;

Unless you ___ me about Sue’s new bob hair, I wouldn’t have noticed.

A. had told                 

B. hadn’t told

C. told                        

D. didn’t tell

Why were you acting ___ you hadn’t seen the boss?

A. the way                  

B. as though

C. like                         

D. as