Algebra practice

By popular request… Remember that a multiplying mixed signs gives a negative answer and multiplying same signs gives a positive answer!

Multiply out the following

  1. 2(3x – 2) – 4(2x – 1)
  2. 2xy(x + y)
  3. 2(4x + 3) + 3(2x – 9)
  4. 4(x + y) – 2(x + 2y)
  5. 2x(x2 – y3)
  6. 2(5x – 4) – 3(2x + 7)
  7. 4(10x + 3y) – 7(x + y)
  8. 3x2(4x + 2y) – 4y(2x2 – 3y)
  9. 2(x – y) – (4x + 3y)
  10. 14(2x – y) – 5(3x – 2y) + 4(4y – 2x)

Factorise the following expressions

  • remember to find the largest common denominator and to divide through by the common denominator to find what goes inside the bracket
  • remember that xy2 means ‘x multiplied by y squared’ and is different to x2y
  1. 6x2y – 9xy2
  2. 12xy – 15x2y2
  3. 18x2 – 6x
  4. 21p2 + 28p
  5. 24q2 – 18q
  6. 15r2s – 10rs2
  7. 18xy – 27xy2
  8. 15x2y3 – 20x3y4
  9. 12py2 – 9p2y
  10. 144x4y8z3 – 84xy2z

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