7. Найдите в тексте слова с отрицательными приставками и переведите их.

8. Выпишите из четвёртого абзаца предложение с причастием, определите его функцию. Переведите на русский язык.

9. Дайте письменные ответы на следующие вопросы:

1. What operations does algebra use?

2. How does algebra differ from arithmetic?

3. What is the origin of the word ‘algebra’?

4. What additional symbols not used in arithmetic does algebra introduce?

5. Do properties that hold true for the integers and rationales in general hold true for the real numbers?

6. What does an algebraic expression consist of?

Вариант 2

1. Перепишите и переведите слова с отрицательными приставками, укажите часть речи.

Unequal, undesirable, imperfect, impersonal, disagreement, disadvantage, inaccurate, inactive, incapable, invisible, inattentive, irrationality, irrelevance, noninterference, nonproductive, illegible, illogical, miscalculate, misapply, misconception.

2. Перепишите предложения. Найдите в них сказуемые, выпишите их, определите видо-временную форму и залог. Укажите инфинитив и переведите предложения.

Образец: The problem was being discussed when he came.

was being discussed – Past Continuous Passive (discuss)

came – Past Simple Active ( come )

Проблему обсуждали, когда он пришел.

1. Students are divided into years and it normally takes five years to graduate from the University.

2. Lobachevsky’s works were recognized only twelve years after his death.

3. In each generation, men have developed new methods and ideas to solve these problems.

4. Much attention is being given to the development of international scientific contacts.

5. A theoretical treatment of the problem will be suggested later.

6. For the past five years his main energy has been devoted to mathematics of catastrophe theory.

3. Перепишите предложения, заменяя действительный залог на страдательный.

1. The two axes divide the plane into four quadrants.

2. Many states are currently increasing the amount of mathematics at schools.

3. They used, revised, and refined Hilbert’s system over the years.

4. Rene Thom has solved the problem in terms of a few archetypal forms.

5. We were still making preparations to meet them at that time.

6. He will treat difficult questions in more detail.

4. Перепишите предложения и переведите их, обращая внимание на модальные глаголы и их эквиваленты.

1. A computer can ‘remember’ information that you give it.

2. The data may be sorted according to a plan desired by a programmer.

3. Geometry should be given serious attention throughout school mathematics.

4. They had to reverse their approach to the problem.

5. He has refused, but he may change his mind.

6. The input and output devices are to supply information and to obtain it from the computer.

7. All candidates must have a Ph.D. in mathematics or statistics.