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2 курс_2 сем. Плани практичних- математики.doc
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1. Make the following sentences interrogative and negative.

1. We were working at 4 o’clock yesterday. 2. She was leaving the house at that time. 3. My friends were walking in the street at 10 yesterday. 4. She will be cooking dinner at 10 o’clock tomorrow. 5. I am reading now. 6. I go to the cinema very often. 7. They will go to Moscow next summer. 8. We are cooking now. 9. I will explain that task to him. 10. He played tennis yesterday.

2. Open the brackets using the verbs in the proper Tense- forms (Present Simple, Past Simple, Future Simple, Present Continuous).Translate the sentences.

1. It (to take) me forty minutes to get to school yesterday. 2. Hello, Pete, where you (to go)? — I (to hurry) to school. 3. When your lessons (to begin) on Mon­day? — They (to begin) at nine o'clock. 4. Where your sister (to be)? — She (to do) her homework in the next room. 5. It usually (to take) me an hour to do my written exercises. 6. Where Boris (to be)? I (to look) for him. – He (to have) dinner. 7. I (to go) to see my friends tomorrow. 8. Yesterday we (to play) chess. 9. Andrew (to get) up very early as he (to live) far from school, He (to be) never late. 10. It (to be) six o'clock in the evening now. Victor (to do) his homework. His sister (to read) a book. His mother and grandmother (to talk). 11. I (to write) a letter to my grandmother tomorrow.

Ех.3

1 He go skating because he broke his leg.

2 Many children in Britain wear school uniforms.

3 I'm not sure but Jane come to visit me this afternoon.

4 Didn´t you see the sign? You drive more than 30 miles.

5 He speaks a lot of languages but he speak Chinese.

6 It snow. It looks like it.

7 You drive on the right in Britain.

8 He is a good boxer. You be careful.

9 You to smoke in the office.

10 This test will be very difficult. So you learn a lot.

11 You eat more vegetables because they are healthy.

12 I don't the car. You can take it.

13 He does everything himself. He no help.

14 It`s going to rain. You shut the window.

15 You start a fire in the forest.

III. Робота на текстом за професійним спрямуванням

1. Read the text and translate it into Ukrainian. Learn the underlined words by heart and write them down in your copy-books. Proportions and Ratios

A ratio is a relationship between two values. For instance, a ratio of 1 pencil to 3 pens would imply that there are three times as many pens as pencils. For each pencil there are 3 pens, and this is expressed in a couple ways, like this: 1:3, or as a fraction like 1/3.

A proportion can be used to solve problems involving ratios. If we are told that the ratio of wheels to cars is 4:1, and that we have 12 wheels, how can we find the number of cars we could have? A simple proportion will do perfectly. We know that 4:1 is our given ratio and the new ratio with 12 wheels must be an equivalent fraction, so we can setup the problem like this, where x is our missing number of cars:

4 = 12

1 x

To solve a proportion like this, we have to cross-multiply. This process involves multiplying the two extremes and then comparing that product with the product of the means. An extreme is the first number (4), and the last number (x), and a mean is the 1 or the 12.

To multiply the extremes we just do 4 * x = 4x. The product of the means is 1 * 12 = 12. The process is very simple if you remember it as cross-multiplying, because you multiply diagonally across the equal sign.

You should then take the two products, 12 and 4x, and put them on opposite sides of an equation like this: 12 = 4x. Solve for x by dividing each side by 4 and you discover that x = 3. Reading back over the problem we remember that x stood for the number of cars possible with 12 tires, and that is our answer.

It is possible to have many variations of proportions, and one you might see is a double-variable proportion. It looks something like this, but it easy to solve.

16 = x

x 1

Using the same process as the first time, we cross multiply to get 16 * 1 = x * x. That can be simplified to 16 = x, which means x equals the square root of 16, which is 4 (or -4).

So, a proportion is a special form of an algebra equation. It is used to compare two ratios or make equivalent fractions. A ratio is a comparison between two values.