UPSKILL MATH PLUS

Learn Mathematics through our AI based learning portal with the support of our Academic Experts!

Learn more

Algebraic identities

Methodical recommendation:

Theory

Number Name Description
1. Square identity of a trinomial To recall the square identities and to learn the expansion of a trinomial based on a square identity.
2. Identities involving product of three binomials Learn and explore the cubic identities involving three binomials.
3. Cubic identities To learn the expansion of the cubic terms using the identity (x+a)(x+b)(x+c).
4. Cubic identity for three variables To learn the cubic identity for three variables and to derive at a special case based on the cubic identity.
5. Introduction to factorisation Learn what is factorisation and how to factorise the polynomial.
6. Methods of factorisation To learn and understand methods of factorisation of polynomials.
7. Mind map Learn the mind map of the algebraic identites and factorizing the polynomials.

Textbook Questions

Number Name Type Difficulty Marks Description
1. Multiple choice questions Other easy 2 m. Select the suitable choice for the given questions.
2. Two mark example problems I Other easy 10 m. Apply the algebraic identities for the given expressions.
3. Two mark example problems II Other easy 6 m. Apply the identity and expand the expressions.
4. Two mark example problems III Other easy 6 m. Check your understanding skills in the concept of algebraic identities.
5. Two mark example problems IV Other easy 8 m. Try to factorize the given expressions.
6. Two mark example problems V Other easy 6 m. Try to factorize the given expressions.
7. Two mark example problems VI Other easy 6 m. Try to factorize the given expressions.
8. Two mark example problems VII Other easy 8 m. Try to factorize the given expressions.
9. Two mark example problems VIII Other easy 4 m. Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term.
10. Two mark example problems IX Other easy 4 m. Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term.
11. Two mark example problems X Other easy 2 m. Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term.
12. Two mark exercise problems I Other easy 8 m. Apply the algebraic identities for the given expressions.
13. Two mark exercise problems II Other easy 4 m. Try to answer the given questions.
14. Two mark exercise problems III Other medium 8 m. Try to find the values of the given expressions.
15. Two mark exercise problems IV Other medium 8 m. Try to expand the given expressions.
16. Two mark exercise problems V Other medium 4 m. Try to answer the given questions.
17. Two mark exercise problems VI Other medium 4 m. Try to answer the given questions.
18. Two mark exercise problems VII Other medium 4 m. Try to answer the given questions.
19. Two mark exercise problems VIII Other medium 4 m. Try to simplify the given expressions.
20. Two mark exercise problems IX Other medium 8 m. Try to evaluate using identities.
21. Two mark exercise problems X Other medium 6 m. Try to factorize the given expressions.
22. Two mark exercise problems XI Other medium 6 m. Try to factorize the given expressions.
23. Two mark exercise problems XII Other medium 8 m. Try to factorize the given expressions.
24. Two mark exercise problems XIII Other medium 6 m. Try to factorize the given expressions.
25. Two mark exercise problems XIV Other medium 6 m. Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term.
26. Two mark exercise problems XV Other medium 6 m. Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term.
27. Two mark exercise problems XVI Other medium 6 m. Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term.
28. Two mark exercise problems XVII Other medium 6 m. Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term.
29. Two mark exercise problems XVIII Other medium 6 m. Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term.
30. Two mark exercise problems XIX Other medium 6 m. Check your understanding skills in the concept of factorizing the polynomials by splitting the middle term.
31. Five mark example problems Other hard 5 m. Try to find the area of the square.
32. Five mark exercise problems Other hard 5 m. Try to answer the given questions.

Practice Questions

Number Name Type Difficulty Marks Description
1. Find the zeros Other easy 1 m. To find the zero of the given polynomial.
2. Find the value of the cubic expression Other easy 2 m. Based on the cubic identity for three variables.
3. Factorise the quadratic polynomial Other easy 2 m. Practise to perform and find quadratic polynomial.
4. Factorise Other easy 2 m. To factorise the quadratic polynomial by splitting the middle term.
5. Factorise using appropriate identities Other easy 2 m. To factorise the given polynomial using appropriate square identity.
6. Find the area using suitable identity Other medium 2 m. Try practicing the equation using square identities.
7. Find the values Other medium 2 m. Problems based on some deductions in the cubic identities.
8. Factorise using suitable identity Other medium 2 m. To factorise the given polynomial using suitable square identity.
9. Factorise the expression Other medium 2 m. To factorise the given cubic polynomial using suitable algebraic identity.
10. Factorise the given polynomial Other medium 2 m. Seek to use the required identity to execute factorisation.
11. Evaluate the following Other hard 5 m. To evaluate the value of the given number using the suitable cubic identites.
12. Expand the given factor using the identity Other hard 5 m. Seek to use the identities to widen the factors.
13. Evaluate Other hard 5 m. Based on the cubic identity of three variables.
14. Find the value! Other hard 5 m. To find the value of the given expression using suitable identity.

Key Questions for School Exam Preparation

Number Name Type Difficulty Marks Description
1. Evaluate the expression Other easy 2 m. Try to evaluate the given expression using the algebraic identity.
2. Find the value Other easy 2 m. Check your understanding skills in the concept of applying algebraic identities.
3. Factorize the expression Other medium 2 m. Try to factorize the given expression.
4. Factorize using algebraic identity Other medium 2 m. Try to factorize the given expressions.
5. Determine the factors Other medium 2 m. 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
1. Factorise the polynomial Other medium 2 m. To factorise the quadratic polynomial by splitting the middle term.
2. Match the columns Other medium 4 m. To identify the algebraic identity used and to find the expansion for the given expression.
3. Factorise the expression with proper identity Other medium 5 m. Use the correct identity to start performing the factorisation.
4. Activity Other hard 5 m. Proof to derive the square identity for three variables.
5. Task for you! Other hard 5 m. To know the factorisation of a polynomial using paper cuttings.
6. Factorize the expression Other medium 2 m. Try to factorize the given expression.
7. Expand the given factor using the identity Other hard 2 m. Seek to use the identities to widen the factors.

Periodic assessments

Number Name Recomended time: Difficulty Marks Description
1. Homework I 00:15:00 easy 9 m.
2. Homework II 00:15:00 easy 10 m.
3. Homework III 00:15:00 easy 10 m.
4. Homework IV 00:20:00 medium 15 m.
5. Homework V 00:25:00 medium 18 m.
6. Homework VI 00:25:00 medium 20 m.
7. Revision test I 00:25:00 medium 20 m.
8. Revision test II 00:30:00 medium 24 m.
9. Revision test III 00:30:00 medium 24 m.
10. Revision test IV 00:35:00 hard 28 m.
11. Revision test V 00:45:00 hard 36 m.
12. Revision test VI 00:50:00 hard 42 m.
13. Periodic Assessment 00:10:00 medium 4 m. PA 1 - Algebraic identities
Previous topic
Exit to the topic
Next topic
Register for free to see more content
Register now
Copyright © 2024 YaClass Tech Private Limited Contacts Terms and Conditions Privacy Policy