The following assignments relate to all kinds of basic skills. Some parts are dealt with separately in the other topics.

1. Simplify:

2. Factorize:

3. Factorize:

als

4. Calculate the value of the following fraction as approaches to :

Note that if you just substitute the result is which is not defined. The solution of this assignment is used in determining the derivative of the function , see also the subject Differentiating basic functions.

5. Calculate without the aid of a calculator:

6. Solve the following equation:

7. Solve the following equations with the sum-product method:

8. Solve the following equations:

9. Factorize:

10. Calculate without the aid of a calculator:

.