Fill in each blank with a suitable preposition:
1. Janet is responsible ...... the training and orientation of employees.
2. Don't be too curious ....... things you are not supposed to know.
3. Coursework is taken ...... account as well as exam results.
4. Super's theory focused ....... describing the process of career development.
5. Many students opt ........ business studies simply because it sounds like a passport to a good job.
6. Vocational training programs provide you ..... practical skills can be directly applied ....... a occupation.
7. My sister decided .... her future career while she was still at secondary school.
8. Most students who enrol ...... geology courses do not intend to become geologists.
9. What made you interested ....... applyling for this position?
10. The charity work you've been doing really makes a difference ... these kids. 

Complete the second sentence so that it has the same meaning as the first:
1. Although I was late, I didn't miss the bus.
-> In spite of ...............
2. Although I was in a hurry, I didn't forget to lock the door.
-> Despite ............
3. Even though it was raining heavily, they went to the football match.
-> In spite of ..........
4. She didn't get the job, even though she had all the necessary qualifications.
-> In spite of ............
5. Though she hates rock music, she went to the performance.
-> Despite ......... 
6. Even though they were very sucessful, they never made much money.
-> In spite of ..........
7. Although she knew the answer, she frefused to tell him.
-> Despite ..........
8. Although she has a lot of money, she doesn't help the homeless.
-> Despite ..........
9. Even though I had planned very carefully, we ended up staying in a really bad hotel.
-> Despite ..........
10. Though I wasn't keen on the film, I thought the music was beautiful.
-> In spite of .........

Write the correct form or tense of the verbs in brackets:

1. I don't think lawyers, doctors and teachers ......... (replace) by AI.
2. Robots, drones and AI ......... (carry out) 90 percent of household chores by 2040.
3. In 1965, the average father .......... (spend) about 2.5 hours each day taking care of children.
4. I ....... (try) to call the internet company all morning but I can't get through.
5. Neither his children not his wife ......... (go) to Bali with him next week.
6. Despite the popularity of online programs, online - only students tend ....... (struggle) more than those in face - to - face courses.
7. What ......... (we/do) if all jobs ........ (automate)
8. When she ...... (enrol) opn the course, she ......... (never study) a foreign language before.
9. The number of stay - at - home dads ....... (grow) steadily since the mid- 1990s.
10. People ...... (leave) early will not be eligible for the grand prize drawing at 7 o'clock.

Underline the correct option: 

1. Instructors should have appropriate facilitation/ facilitator skills and be able to develop learner autonomy.
2. As a former schoolmaster, he has always been a firm support/ supporter of traditional learning methods.
3. The company is one of the largest provisions/ providers of employment in the area.
4. Scientists make a prediction/ predictor that the earth will be deprived of certain natural resources for the coming generations.
5. Modern education/ educators prefer a different approach to the teaching of reading.
6. The online application/ appliance process is simple and can take a few minutes.
7. An employer/ employee is a vital component of the company and should be treated fairly.
8. Please complete this section before submitting to evaluation/ evaluator.
9. Some interviews/ interviewers make an effort to put canditdates at ease.
10. The Manufacturing Technology Skills in Chicago attracted nearly 90,000 attendes/ attendants and 1,200 exhibitors. 

Complete the passage with words from the box:

breadwinning, trend, responsible, mutual, earning, previously, caregiver, associated, burden, speedy
In the past, fathers were not (1) ......... for taking care of their children, spend time with their children, preparing food for them, and helping them in their housework. This happend because the sole responsibility of (2) ........ was on the shoulder of men. Now, as women are sharing the financial (3) ...... , some fathers take care of their children while their mother í at the workplace. The depression, egoisitc behavior, and pride (4) ........ with being the sole financial supporter are eventually balanced by the contribution of the female member. Therefore, the responsibility of child care is also showing a changing (5) ........

The number of fathers deciding to stay home is rising at a (6) ....... pace. This may happen due to several reasons such as females have strong earning power, and with the (7) ......... decision, they come to the conclusion that one of them should be at home with children. There are many men today who feel like acting as a primary (8) ........ being a father with kids. (9) ......... , you could not imagine thatt your father would ever do laundry or cleaning. But today in the absence of mothers or even when they are present, fathers share the responsibilities at home as women share the (10) ....... responsibility with fathers. This is how has fatherhood changed over the years. 

Cho hệ phương trình: \(\left\{{}\begin{matrix}2x-y=m+1\\x+my=2\end{matrix}\right.\)

a) Giải hệ phương trình khi \(m=\sqrt{2}\)

b) Tìm m để hệ phương trình có nghiệm duy nhất

Make a non - defining relative clause from the two sentences:
1. Catherine ruled Russia for over 30 years. She made many important changes.
-> 
2. The woman next door is moving next month. I met her for the first time last week.
-> 
3. Starbucks wants to open new stores in China. It does business all over the world. 
-> 
4. I met Julie in the Italian restaurant. She was working as a waitress there.
-> 
5. The Games International Company has just gone bankrupt. We have done business with them for many years.
-> 
6. Our professor of psychology has written some very interesting books. I always attend her lectures.
-> 
7. Jane has decided to go and teach abroad. It will be an interesting experience for her.
-> 
8. My two cousins are coming to visit next week. I have seen neither off them for ten years.
-> 
9. And then Mary walked in. We had been talking about her eariler.
-> 
10. The last time I went to Scotland was in May. The weather was very beatiful then.
->

Reorder the words to make sentences:

1. outside/ and served/ the home/ traditionally,/ men/ for the family/ have worked/ as the sole breadwinner.

->
2. at home/ raise the children/ in the past, / to stay/ women/ and take care of/ were expected/ the household.

->
3. who/ of men/ has doubled/ stay-at-home fathers/ the number/ are/ in the past 20 years.

->
4. with/ women/ the financial burden/ their parents/ are capable of/ nowadays/ sharing.

->
5. a significant role/ in helping/ women's time/ technology/ free up/ plays.

->
6. teachers/ be replaced/ some experts/ would never/ said that/ by educational robots.

->
7. challenging/ creating robotic teachers/ that/ all job demands/ can meet/ might be.

->
8. the students/ important computer skills/ which/ online education/ play/ teachers/ in today's everyday life/ an important life.

->
9. by 2040/ household chores/ thanks to/ according to futurologists, / robots, drones and AI / 90 percent of/ will be automated.

->
10. we/ cook/ in the next 20 years/ appear/ virtual chefs/ as holograms/ will see/ every step of the way/ to help us. 

->

Giải các phương trình:

a) \(\left(x^2+2x+5\right)\left(x^2+4x\right)=0\)

b) \(\left(x^2-4x+4\right)\left(x^2-3x\right)=0\)

c) \(1,2x^3-x^2-0,2x=0\) 

Complete the sentences with the future simple (active or passive) of the verbs given:

endanger , dominate, replace, post, teach, carry out, produce, focus, become, lead
1. In the future, paper books .......... by books in electronic formats.
2. The new computer chip .......... in Dresden.
3. Soon, online courses ....... readily acessible on mobile devices.
4. The growth of online shopping ..... to the closure of shops in cities and towns. 
5. ........ the cities of future ....... by robots?
6. All the lessons ....... on our Facebook's group later. 
7. The company ...... on dairy product once being put into operation.
8. Science and Mathematics subjects ....... in English by native speakers. 
9. By 2040 , 90 percent of household chores ...... by robots, drones and AI.
10. Pessimists predict that robots ........ jobs across the globe, and not only in industrial production.