PDF chapter test TRY NOW
Methodical recommendation:
Theory
| Number | Name | Description |
|---|---|---|
| Number 1. | Name Square identity of a trinomial | Description To recall the square identities and to learn the expansion of a trinomial based on a square identity. |
| Number 2. | Name Identities involving product of three binomials | Description Learn and explore the cubic identities involving three binomials. |
| Number 3. | Name Cubic identities | Description To learn the expansion of the cubic terms using the identity (x+a)(x+b)(x+c). |
| Number 4. | Name Cubic identity for three variables | Description To learn the cubic identity for three variables and to derive at a special case based on the cubic identity. |
| Number 5. | Name Introduction to factorisation | Description Learn what is factorisation and how to factorise the polynomial. |
| Number 6. | Name Methods of factorisation | Description To learn and understand methods of factorisation of polynomials. |
| Number 7. | Name Mind map | Description Learn the mind map of the algebraic identites and factorizing the polynomials. |
Textbook Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Multiple choice questions | Type Other | Difficulty easy | Marks 2 m. | Description Select the suitable choice for the given questions. |
| Number 2. | Name Two mark example problems I | Type Other | Difficulty easy | Marks 10 m. | Description Apply the algebraic identities for the given expressions. |
| Number 3. | Name Two mark example problems II | Type Other | Difficulty easy | Marks 6 m. | Description Apply the identity and expand the expressions. |
| Number 4. | Name Two mark example problems III | Type Other | Difficulty easy | Marks 6 m. | Description Check your understanding skills in the concept of algebraic identities. |
| Number 5. | Name Two mark example problems IV | Type Other | Difficulty easy | Marks 8 m. | Description Try to factorize the given expressions. |
| Number 6. | Name Two mark example problems V | Type Other | Difficulty easy | Marks 6 m. | Description Try to factorize the given expressions. |
| Number 7. | Name Two mark example problems VI | Type Other | Difficulty easy | Marks 6 m. | Description Try to factorize the given expressions. |
| Number 8. | Name Two mark example problems VII | Type Other | Difficulty easy | Marks 8 m. | Description Try to factorize the given expressions. |
| Number 9. | Name Two mark example problems VIII | Type Other | Difficulty easy | Marks 4 m. | Description Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term. |
| Number 10. | Name Two mark example problems IX | Type Other | Difficulty easy | Marks 4 m. | Description Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term. |
| Number 11. | Name Two mark example problems X | Type Other | Difficulty easy | Marks 2 m. | Description Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term. |
| Number 12. | Name Two mark exercise problems I | Type Other | Difficulty easy | Marks 8 m. | Description Apply the algebraic identities for the given expressions. |
| Number 13. | Name Two mark exercise problems II | Type Other | Difficulty easy | Marks 4 m. | Description Try to answer the given questions. |
| Number 14. | Name Two mark exercise problems III | Type Other | Difficulty medium | Marks 8 m. | Description Try to find the values of the given expressions. |
| Number 15. | Name Two mark exercise problems IV | Type Other | Difficulty medium | Marks 8 m. | Description Try to expand the given expressions. |
| Number 16. | Name Two mark exercise problems V | Type Other | Difficulty medium | Marks 4 m. | Description Try to answer the given questions. |
| Number 17. | Name Two mark exercise problems VI | Type Other | Difficulty medium | Marks 4 m. | Description Try to answer the given questions. |
| Number 18. | Name Two mark exercise problems VII | Type Other | Difficulty medium | Marks 4 m. | Description Try to answer the given questions. |
| Number 19. | Name Two mark exercise problems VIII | Type Other | Difficulty medium | Marks 4 m. | Description Try to simplify the given expressions. |
| Number 20. | Name Two mark exercise problems IX | Type Other | Difficulty medium | Marks 8 m. | Description Try to evaluate using identities. |
| Number 21. | Name Two mark exercise problems X | Type Other | Difficulty medium | Marks 6 m. | Description Try to factorize the given expressions. |
| Number 22. | Name Two mark exercise problems XI | Type Other | Difficulty medium | Marks 6 m. | Description Try to factorize the given expressions. |
| Number 23. | Name Two mark exercise problems XII | Type Other | Difficulty medium | Marks 8 m. | Description Try to factorize the given expressions. |
| Number 24. | Name Two mark exercise problems XIII | Type Other | Difficulty medium | Marks 6 m. | Description Try to factorize the given expressions. |
| Number 25. | Name Two mark exercise problems XIV | Type Other | Difficulty medium | Marks 6 m. | Description Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term. |
| Number 26. | Name Two mark exercise problems XV | Type Other | Difficulty medium | Marks 6 m. | Description Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term. |
| Number 27. | Name Two mark exercise problems XVI | Type Other | Difficulty medium | Marks 6 m. | Description Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term. |
| Number 28. | Name Two mark exercise problems XVII | Type Other | Difficulty medium | Marks 6 m. | Description Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term. |
| Number 29. | Name Two mark exercise problems XVIII | Type Other | Difficulty medium | Marks 6 m. | Description Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term. |
| Number 30. | Name Two mark exercise problems XIX | Type Other | Difficulty medium | Marks 6 m. | Description Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term. |
| Number 31. | Name Five mark example problems | Type Other | Difficulty hard | Marks 5 m. | Description Try to find the area of the square. |
| Number 32. | Name Five mark exercise problems | Type Other | Difficulty hard | Marks 5 m. | Description Try to answer the given questions. |
Practice Questions
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Find the zeros | Type Other | Difficulty easy | Marks 1 m. | Description To find the zero of the given polynomial. |
| Number 2. | Name Find the value of the cubic expression | Type Other | Difficulty easy | Marks 2 m. | Description Based on the cubic identity for three variables. |
| Number 3. | Name Factorise the quadratic polynomial | Type Other | Difficulty easy | Marks 2 m. | Description Practise to perform and find quadratic polynomial. |
| Number 4. | Name Factorise | Type Other | Difficulty easy | Marks 2 m. | Description To factorise the quadratic polynomial by splitting the middle term. |
| Number 5. | Name Factorise using appropriate identities | Type Other | Difficulty easy | Marks 2 m. | Description To factorise the given polynomial using appropriate square identity. |
| Number 6. | Name Find the area using suitable identity | Type Other | Difficulty medium | Marks 2 m. | Description Try practicing the equation using square identities. |
| Number 7. | Name Find the values | Type Other | Difficulty medium | Marks 2 m. | Description Problems based on some deductions in the cubic identities. |
| Number 8. | Name Factorise using suitable identity | Type Other | Difficulty medium | Marks 2 m. | Description To factorise the given polynomial using suitable square identity. |
| Number 9. | Name Factorise the expression | Type Other | Difficulty medium | Marks 2 m. | Description To factorise the given cubic polynomial using suitable algebraic identity. |
| Number 10. | Name Factorise the given polynomial | Type Other | Difficulty medium | Marks 2 m. | Description Seek to use the required identity to execute factorisation. |
| Number 11. | Name Evaluate the following | Type Other | Difficulty hard | Marks 5 m. | Description To evaluate the value of the given number using the suitable cubic identites. |
| Number 12. | Name Expand the given factor using the identity | Type Other | Difficulty hard | Marks 5 m. | Description Seek to use the identities to widen the factors. |
| Number 13. | Name Evaluate | Type Other | Difficulty hard | Marks 5 m. | Description Based on the cubic identity of three variables. |
| Number 14. | Name Find the value! | Type Other | Difficulty hard | Marks 5 m. | Description To find the value of the given expression using suitable identity. |
Key Questions for School Exam Preparation
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Evaluate the expression | Type Other | Difficulty easy | Marks 2 m. | Description Try to evaluate the given expression using the algebraic identity. |
| Number 2. | Name Find the value | Type Other | Difficulty easy | Marks 2 m. | Description Check your understanding skills in the concept of applying algebraic identities. |
| Number 3. | Name Factorize the expression | Type Other | Difficulty medium | Marks 2 m. | Description Try to factorize the given expression. |
| Number 4. | Name Factorize using algebraic identity | Type Other | Difficulty medium | Marks 2 m. | Description Try to factorize the given expressions. |
| Number 5. | Name Determine the factors | Type Other | Difficulty medium | Marks 2 m. | Description Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term. |
Questions for Teacher Use
| Number | Name | Type | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Factorise the polynomial | Type Other | Difficulty medium | Marks 2 m. | Description To factorise the quadratic polynomial by splitting the middle term. |
| Number 2. | Name Match the columns | Type Other | Difficulty medium | Marks 4 m. | Description To identify the algebraic identity used and to find the expansion for the given expression. |
| Number 3. | Name Factorise the expression with proper identity | Type Other | Difficulty medium | Marks 5 m. | Description Use the correct identity to start performing the factorisation. |
| Number 4. | Name Activity | Type Other | Difficulty hard | Marks 5 m. | Description Proof to derive the square identity for three variables. |
| Number 5. | Name Task for you! | Type Other | Difficulty hard | Marks 5 m. | Description To know the factorisation of a polynomial using paper cuttings. |
| Number 6. | Name Factorize the expression | Type Other | Difficulty medium | Marks 2 m. | Description Try to factorize the given expression. |
| Number 7. | Name Expand the given factor using the identity | Type Other | Difficulty hard | Marks 2 m. | Description Seek to use the identities to widen the factors. |
Periodic assessments
| Number | Name | Recomended time: | Difficulty | Marks | Description |
|---|---|---|---|---|---|
| Number 1. | Name Homework I | Recomended time: 00:15:00 | Difficulty easy | Marks 9 m. | Description |
| Number 2. | Name Homework II | Recomended time: 00:15:00 | Difficulty easy | Marks 10 m. | Description |
| Number 3. | Name Homework III | Recomended time: 00:15:00 | Difficulty easy | Marks 10 m. | Description |
| Number 4. | Name Homework IV | Recomended time: 00:20:00 | Difficulty medium | Marks 15 m. | Description |
| Number 5. | Name Homework V | Recomended time: 00:25:00 | Difficulty medium | Marks 18 m. | Description |
| Number 6. | Name Homework VI | Recomended time: 00:25:00 | Difficulty medium | Marks 20 m. | Description |
| Number 7. | Name Revision test I | Recomended time: 00:25:00 | Difficulty medium | Marks 20 m. | Description |
| Number 8. | Name Revision test II | Recomended time: 00:30:00 | Difficulty medium | Marks 24 m. | Description |
| Number 9. | Name Revision test III | Recomended time: 00:30:00 | Difficulty medium | Marks 24 m. | Description |
| Number 10. | Name Revision test IV | Recomended time: 00:35:00 | Difficulty hard | Marks 28 m. | Description |
| Number 11. | Name Revision test V | Recomended time: 00:45:00 | Difficulty hard | Marks 36 m. | Description |
| Number 12. | Name Revision test VI | Recomended time: 00:50:00 | Difficulty hard | Marks 42 m. | Description |
| Number 13. | Name Periodic Assessment | Recomended time: 00:10:00 | Difficulty medium | Marks 4 m. | Description PA 1 - Algebraic identities |
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