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

Some shops advertise their products and services in the newspaper to ___ customers.

A. encourage              

B. attract

C. interest                  

D. promote

A. 3; 

B. 1; 

By the time Ryan finally graduated from high school, he ___ five different schools because his parents move frequently.

A. attended                

B. was attending

C. had attended      

D. has been attending

Many students ___ school to set up their own businesses and become self-employed.

A. move out of           

B. cut down on

C. drop out of            

D. drop in on

Một học sinh muốn chọn 20 trong 30 câu trắc nghiệm. Học sinh đó đã chọn được 5 câu. Tìm số cách chọn các câu còn lại?

Hellen usually ___ her childhood with great pleasure.

A. talks back to          

B. thinks back on

C. turns back to        

D. falls back on

Giải phương trình: log₂x.log₂(2x) – 2 = 0

If my application is successful, I will be able to start work from 15th of August when I finish all my exams. I am ___ my CV with this letter.

A. mending                

B. attaching

C. closing                   

D. enclosing

Phương trình 3^2x+1 – 4.3^x + 1 = 0 có nghiệm x₁, x₂ với x₁ < x₂. Chọn phát biểu đúng?

A. x₁.x₂ = –1; 

B. 2x₁ + x₂ = 0; 

Have you had any news about that __      _ you applied for yet?

A. work                      

B. job

C. career                     

D. vacancy

Although her friends tried to persuade her to apply for the job at a local factory, but Christine refused to make an application.

A. Although               

B. tried to persuade

C. to apply                  

D. but

Giải phương trình x² – 2nx – 5 = 0. Biết số nguyên dương n thỏa mãn:  $C_n^{n-1}+C_5^n=9$.

A.  $x=4\pm \sqrt{21}$; 

B. x = ±4;

The shopkeeper wanted the boys don’t lean their bicycles against his windows.

A. shopkeeper            

B. don’t

C. their                       

D. against

Giải phương trình:  $\sqrt{3+x}+\sqrt{6-x}=3+\sqrt{\left(3+x\right).\left(6-x\right)}.$

By the end of the 21st century, scientists are discovering the cure for the common cold.

A. the end of              

B. 21st century

C. are discovering      

D. for

Mark the letter A, B, C, or D on your answer sheet to indicate the word that differs from the other three in the position of primary stress in each of the following question.

A. compliment

B. determine

C. optimist

D. marvelous

Mark the letter A, B, C, or D on your answer sheet to indicate the word that differs from the other three in the position of primary stress in each of the following question.

A. rewarding

B. fascinating

C. tedious

D. challenging    

Mark the letter A, B, C, or D on your answer sheet to indicate the word whose underlined part differs from the other three in pronunciation in each of the following question.

A. donate           

B. imitate          

C. operate         

D. private

b) Tìm tất cả các giá trị m để phương trình có 2 nghiêm x₁, x₂ thỏa mãn x₁ – 2x₂ = 3.

Mark the letter A, B, C, or D on your answer sheet to indicate the word whose underlined part differs from the other three in pronunciation in each of the following question.

A. design         

B. persuade                

C. pursue            

D. increase

Cho phương trình x² – mx + m – 1 = 0 (m là tham số)

a) Giải phương trình với m = 3.

Tính tổng  $S=C_n^0+C_n^1+\mathrm{...}+C_n^n$

A. S = 2ⁿ – 1; 

B. S = 2ⁿ; 

The word “it” in item 6 refers to “______”.

A. your credit card                    

B. the librarian                          

C. the library ticket                   

D. your driving licence

b) (a + b)² ≤ 2(a² + b²)

You have to pay when you ______.

A. borrow books                                                      

B. do not return books on time

C. return books to the library                                             

D. complete the application form       

Chứng minh rằng:

a) (a + b + c)² ≤ 3(a² + b² + c²)

Chứng minh a² + b² + c² + 3 ≥ 2(a + b + c).

What must you do if you want to keep books for longer than three weeks?

A. Pay extra for each day you keep them                          

B. Call the library on the day the books are due     

C. Arrange it with the library personally                           

D. Ask another reader to borrow them for you

Cho tam giác ABC đều cạnh a. Gọi M là trung điểm BC. Khẳng định nào sau đây đúng?