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Factorising Linear Expressions

14 Questions
Equation Quizzes & Trivia

Practice and develop skills for factorising linear expressions

Questions and Answers
  • 1. 
    The terms in the expression pq + pr have a common factor:
    • A. 

      R

    • B. 

      P

  • 2. 
    What is the highest common factor of 12 and 40?
  • 3. 
    What is the highest common factor of 32 and 72?
    • A. 

      4

    • B. 

      12

    • C. 

      16

    • D. 

      2

    • E. 

      8

  • 4. 
    What is the highest common factor of a5 and a32?   
    • A. 

      A^5

    • B. 

      A^4

    • C. 

      A^3

    • D. 

      A

    • E. 

      A^2

  • 5. 
    The highest common factor of 54 and 81 is:
    • A. 

      6

    • B. 

      9

  • 6. 
    Pq - wq factorises to
    • A. 

      P(q - wq)

    • B. 

      Q(p - wq)

    • C. 

      W(pq - q)

    • D. 

      Q(p - w)

    • E. 

      Pq - wq

  • 7. 
    12a + 24 completely factorises to 
    • A. 

      12(a + 2)

    • B. 

      12(a + 24)

    • C. 

      6(2a + 4)

    • D. 

      A(12 + 24)

    • E. 

      12a(1 + 2)

  • 8. 
    Factorise the expression3a - 9
  • 9. 
    Factorise the expression15a - 50
  • 10. 
    Factorise the expression12 + 30a
  • 11. 
    Factorise the expression32 - 24a
  • 12. 
    Factorise the expression14aq + 7q - 21wq
  • 13. 
    Factorise and simplify the expression20a + 5 + 28a - 7
  • 14. 
    36aqd + 18ad2 - 12adq + 6adfactorises to become
    • A. 

      6a(6qd + 3ad - 12aq + 1d)

    • B. 

      6aq(6d + 3d - 2q + 6d)

    • C. 

      6ad(6q + 3d - 2q + 1)

    • D. 

      6(6aqd + 3ad - 2adq + ad)

    • E. 

      6adq(6 + 3 - 2 + 1)