Factorization and Algebraic Manipulation

Maths, SSC-Punjab Class 9. This chapter is split into 35 topics and has 805 practice questions. The topics covered are listed below, followed by 10 free sample questions from the chapter.

Topics in this chapter

1. Type III - (x+a)(x+b)(x+c)(x+d)+kx^2 Method 23 questions
2. Binomials, Trinomials, Quadratic and Cubic Expressions 25 questions
3. LCM by Factorization - Exercise 4.3 Q3 Style 25 questions
4. HCF by Division Method (Example 21 and Exercise 4.3 Q2) 20 questions
5. Type III - (x+a)(x+b)(x+c)(x+d)+k Pairing and Substitution 22 questions
6. Type II - a^4+a^2b^2+b^4 and a^4+b^4 Method 23 questions
7. Squares and Difference of Squares - Identities Used in Factorization 22 questions
8. Monic Trinomials - Exercise 4.1 Style Factorization 29 questions
9. Algebra Tiles - Unit, Rectangular and Squared Tiles 25 questions
10. Applications of Factorization - Exercise 4.4 Q3 to Q6 22 questions
11. Trinomials ax^2+bx+c - Six-Step Method (Examples 7-8) 23 questions
12. LCM and HCF Problems - Exercise 4.3 Q4 to Q6 Style 22 questions
13. Type III - Recognizing the Type of Factorization 23 questions
14. Type V - a^3+b^3 and a^3-b^3 Identities 22 questions
15. Square Root by Division Method (Example 27 and Exercise 4.4 Q2) 24 questions
16. Review Exercise 4 - Factorization, LCM-HCF and Root Problems 20 questions
17. Sign Rules and Checking in Trinomial Factoring 22 questions
18. Type III - (ax^2+bx+c)(ax^2+bx+d)+k Substitution 25 questions
19. Type IV - Exercise 4.2 Q3 Style Factorization of Perfect Cubes 23 questions
20. Factorizing by Taking Out Common Factors 20 questions
21. Trinomials ax^2+bx+c - Exercise 4.1 Q4 Style Factorization 26 questions
22. Common Factors - Meaning and Terms 21 questions
23. Monic Trinomials x^2+px+q - Method and Book Examples 26 questions
24. Type V - Exercise 4.2 Q4 Style Factorization of Cubes 20 questions
25. Square Root - Mixed Exercise 4.4 Computations 20 questions
26. LCM and HCF Relationship (Examples 24-25) 22 questions
27. Type II - Exercise 4.2 Q1 Style Factorization 22 questions
28. Type IV - Perfect Cubes a^3+3a^2b+3ab^2+b^3 and its Negative Form 25 questions
29. HCF by Factorization - Exercise 4.3 Q1 Style 20 questions
30. Square Root of an Algebraic Expression - Meaning and Factorization Method 25 questions
31. Review Exercise 4 - MCQs 22 questions
32. Factorizing with Algebra Tiles - Concretely and Pictorially 26 questions
33. HCF - Meaning and Factorization Method (Examples 19-20) 22 questions
34. Real-World Problems of Factorization (Examples 28-30) 28 questions
35. LCM - Meaning and Prime Factorization (Examples 22-23) 20 questions