Algebraic Expressions

GCSE Skills

  • You need to be able to work with algebraic expressions confidently
  • You can use the index laws to simplify algebraic expressions
  • You can square or cube a whole expression
      * Remember that if a letter appears on its own then it has the power 1
  • Algebraic expressions may also contain negative and fractional indices

One at a time

  • When you are multiplying expressions:
      * Multiply any number parts first
      * Add the powers of each letter to work out the new power
  • When you are dividing expressions:
      * Divide any number parts first
      * Subtract the powers of each letter to work out the new power

Working it out

  • Start by simplifying the top part of the fraction
  • Do the number part first then the powers
  • Next divide the expressions
  • Divide the number part, then divide the indices