Q1: 1. What is the factorization of 12x + 18?

• A) 2(6x + 9)
• B) 6(2x + 3)
• C) 3(4x + 6)
• D) 4(3x + 4)

Q2: 2. If you have a rectangular garden with dimensions 24x + 36, what is the factorization for the area of the garden?

• A) 12(2x + 3)
• B) 6(4x + 6)
• C) 4(6x + 9)
• D) 3(8x + 12)

Q3: 3. Factorize 10y^2 - 18y.

• A) 2y(5y - 9)
• B) 5y(2y - 3)
• C) 3y(4y - 6)
• D) 6y(3y - 4)

Q4: 4. If the volume of a cube is 27x^3, what is the factorization for the side length of the cube?

• A) 3x
• B) 9x
• C) 2x
• D) 6x

Q5: 5. What is the factorization of 16a^2 - 25?

• A) (4a + 5)(4a - 5)
• B) (2a + 5)(8a - 5)
• C) (4a - 5)(4a - 5)
• D) (3a + 5)(3a - 5)

Q6: 6. Factorize 15p^2 - 9.

• A) 3(5p + 3)(5p - 3)
• B) 3(5p^2 - 3)
• C) 3(5p + 3)(p - 3)
• D) 3(5p - 3)(p - 3)

Q7: 7. If a rope is cut into segments of lengths 20x + 30 and 15x + 25, what is the factorization representing the total length of the rope?

• A) 5(4x + 6)(3x + 5)
• B) 10(2x + 3)(3x + 5)
• C) 5(4x + 6)(2x + 5)
• D) 15(4x + 6)(x + 5)

Q8: 8. Factorize 18m^2 - 12m.

• A) 6m(3m - 2)
• B) 2m(9m - 6)
• C) 3m(6m - 4)
• D) 4m(4.5m - 3)

Q9: 9. What is the factorization of 20x^2 - 45?

• A) 5(4x^2 - 9)
• B) 9(2x^2 - 5)
• C) 5(4x^2 - 9)
• D) 4(5x^2 - 9)

Q10: 10. If the area of a square is represented by 36y^2, what is the factorization for the side length of the square?

• A) 6y
• B) 12y
• C) 3y
• D) 9y

Q11: 11. Factorize 14n^2 - 28n.

• A) 14n(n - 2)
• B) 2n(7n - 14)
• C) 7n(2n - 4)
• D) 4n(3.5n - 7)

Q12: 12. If a rectangular field has dimensions 30x + 45, what is the factorization representing the perimeter of the field?

• A) 15(2x + 3)
• B) 5(6x + 9)
• C) 10(3x + 4.5)
• D) 3(10x + 15)

Q13: 13. What is the factorization of 21a^2 - 49?

• A) (3a + 7)(7a - 7)
• B) (7a + 7)(3a - 7)
• C) (3a - 7)(3a - 7)
• D) (7a - 7)(7a - 7)

Q14: 14. Factorize 16b^2 - 40b.

• A) 8b(2b - 5)
• B) 4b(4b - 10)
• C) 2b(8b - 20)
• D) 5b(3.2b - 8)

Q15: 15. If the volume of a cylinder is 36πr^2, what is the factorization for the radius of the cylinder?

• A) 6r
• B) 12r
• C) 3r
• D) 9r

Q16: 16. What is the factorization of 24c^2 - 60?

• A) 12(2c^2 - 5)
• B) 6(4c^2 - 10)
• C) 3(8c^2 - 15)
• D) 4(6c^2 - 12)

Q17: 17. Factorize 12x^2 - 27.

• A) 3(4x^2 - 9)
• B) 3(4x^2 - 3)
• C) 3(6x^2 - 5)
• D) 3(3x^2 - 9)

Q18: 18. If a square room has an area of 64x^2, what is the factorization for the side length of the room?

• A) 8x
• B) 16x
• C) 4x
• D) 12x

Q19: 19. What is the factorization of 15y^2 - 75?

• A) 15(y^2 - 5)
• B) 5(3y^2 - 15)
• C) 3(5y^2 - 25)
• D) 25(y^2 - 3)

Q20: 20. Factorize 20t^2 - 30t.

• A) 10t(2t - 3)
• B) 5t(4t - 6)
• C) 2t(10t - 15)
• D) 6t(3.3t - 5)

Q21: 21. If the surface area of a cube is 96x^2, what is the factorization for the side length of the cube?

• A) 4x
• B) 6x
• C) 8x
• D) 12x

Q22: 22. Factorize 28h^2 - 42h.

• A) 14h(2h - 3)
• B) 7h(4h - 6)
• C) 6h(4.5h - 7)
• D) 3h(9h - 14)

Q23: 23. What is the factorization of 18d^2 - 48?

• A) 6(3d^2 - 8)
• B) 3(6d^2 - 16)
• C) 4(4.5d^2 - 12)
• D) 8(2d^2 - 6)

Q24: 24. If the area of a triangle is 30x^2, what is the factorization for the base length of the triangle?

• A) 6x
• B) 10x
• C) 5x
• D) 15x

Q25: 25. Factorize 25z^2 - 40z.

• A) 5z(5z - 8)
• B) 8z(3.125z - 5)
• C) 10z(2.5z - 4)
• D) 4z(6.25z - 10)