PDF chapter test

## Methodical recommendation:

### Theory

Number Name Description
1. Abridged multiplication formulas Formulas of abridged multiplication: squared sum, squared difference, difference squared, proof of formulas.
2. The square of the sum Formula of abridged multiplication: the square of the sum, examples of application of the formula.
3. The square of the difference Formula of abridged multiplication: the square of the difference, examples of application of the formula.
4. The difference of squares Formula of abridged multiplication: the difference of squares, examples of application of the formula.

### Practice Questions

Number Name Type Difficulty Marks Description
1. Check the correct answer using the formula 1st type - receptive easy 3 m. Validating the use of the squared sum or squared difference formula.
2. Application of the formula of the difference of squares 2nd type - interpretation easy 3 m. Applying the square difference formula.
3. The square of the sum formula, polynomial squaring 2nd type - interpretation easy 3 m. Sum squared formula; polynomial squaring and expanding.
4. The difference of squares formula 2nd type - interpretation easy 3 m. The formula of the difference of squares.
5. Formula of the square of the difference 2nd type - interpretation easy 3 m. Formula of the square of the difference; expanding.
6. Abridged multiplication formulas (statements) 1st type - receptive easy 3 m. Choose the correct answer.
7. Product of difference and sum (common fractions) 2nd type - interpretation medium 5 m. Application of the difference of squares formula (common fractions).
8. Difference of the squares (powers) 2nd type - interpretation medium 5 m. Application of the difference of squares formula (powers).
9. Difference of the squares (decimal fractions) 2nd type - interpretation medium 5 m. Application of the difference of squares formula (decimal fractions).
10. Product of sum and difference (integers) 2nd type - interpretation medium 5 m. Application of the formula.
11. Value of the expression 2nd type - interpretation medium 4 m. Apply the abridged multiplication formula to find the value of the expression.
12. The square of the sum (decimal fractions) 2nd type - interpretation medium 5 m. Squaring. Binomial to polynomial (decimal fractions)
13. The square of the difference (common fractions) 2nd type - interpretation medium 5 m. Squaring.
14. The square of the sum (trinomial) 2nd type - interpretation medium 5 m. Expand by the formula.
15. The square of the difference (trinomial) 2nd type - interpretation medium 5 m. Replacing a variable with a monomial, applying the formula.
16. The difference of cubes 2nd type - interpretation medium 5 m. Application of the formula.
17. The square of the difference (multiplication by a number) 2nd type - interpretation medium 5 m. Multiplication by a number.
18. The product of the sum of two numbers by the incomplete square of their difference 2nd type - interpretation hard 8 m. Application of the formula for the sum of cubes.
19. Abridged multiplication formulas (decimal fractions) 3rd type - analysis hard 8 m. Application of the formulas (difference of squares and squared sum).
20. The difference of squares (integers) 3rd type - analysis hard 8 m. Application of the difference of squares formula (integers).
21. The product of sum and difference (numeric expression) 3rd type - analysis hard 8 m. Calculation of the value of a numerical expression using the abridged multiplication formula.

### Questions for Teacher Use

Number Name Type Difficulty Marks Description
1. The square of the difference formula Other easy 3 m. Squaring a polynomial using the difference squared formula.
2. The square of the sum (integers) Other easy 3 m. Squaring, applying the formula.
3. The square of the sum (polynomial) Other medium 5 m. Replacement of a variable with a monomial, application of the formula.
4. The product of sum and difference (decimal fractions) Other medium 5 m. Application of the formula.
5. Abridged multiplication (the square of the difference) Other medium 5 m. Application of the formula.

### Tests

Number Name Recomended time: Difficulty Marks Description
1. Training on polynomials 00:15:00 medium 16 m.

### Periodic assessments

Number Name Recomended time: Difficulty Marks Description
1. Homework on polynomials 00:20:00 medium 21 m.
2. Progress test on polynomials 00:25:00 hard 31 m.