Level 7-8 Algebra - Factorisation

1. What is the common factor in the terms 3x - 9?

   • x
   • 3
   • 6
   • 9

2. What is the correct answer when you factorise 3x - 9?

   • 3(x - 3)
   • 3(x + 3)
   • x(3 - 3)
   • x(3 + 3)

3. What is the common factor in the terms x² -5x?

   • 2
   • 5
   • -5
   • x

4. What is the correct answer when you factorise x² -5x?

   • x(x - 5)
   • x(x + 5)
   • x(x² - 5)
   • x(x² + 5)

5. What are the highest common factors in 4x²y³ + 8xy²?

   • 2 and x and y²
   • 4 and x
   • 4 and x and y²
   • 4 and y

6. What is the correct answer when you factorise 4x²y³ + 8xy²?

   • 4xy²(x + 2)
   • 4xy²(xy + 2)
   • 4xy²(xy + 4)
   • 4xy²(y + 2)

7. Factorise the following expression into a pair of linear brackets x² + 7x + 6

   • (x + 1)(x + 6)
   • (x - 1)(x + 6)
   • (x + 1)(x - 6)
   • (x - 1)(x - 6)

8. Factorise the following expression into a pair of linear brackets x² - 5x - 6

   • (x - 1)(x - 6)
   • (x - 1)(x - 6)
   • (x + 1)(x - 6)
   • (x + 1)(x + 6)

9. Factorise the following expression into a pair of linear brackets x² + 8x + 12

   • (x - 2)(x - 6)
   • (x - 2)(x + 6)
   • (x + 2)(x - 6)
   • (x + 2)(x + 6)

10. Factorise the following expression into a pair of linear brackets x² - 9x + 8

    • (x + 1)(x + 8)
    • (x +1)(x - 8)
    • (x -1)(x - 8)
    • (x -1)(x + 8)

Quiz written by Colin King