Topic 2 · Number & Algebra

Expressions & Formulae

Simplifying, algebraic fractions, expanding brackets, substitution and rearranging formulae.

Not started 5 lessons about 130 min

By the end of this topic you can…

  • Simplify expressions using the laws of indices
  • Add, subtract, multiply and divide algebraic fractions
  • Expand the product of two linear expressions
  • Substitute into a formula and change its subject

Lessons

  1. Simplifying and the Laws of Indices Multiplying and dividing algebraic terms with the index laws, and collecting like terms. 25 min
  2. Algebraic Fractions Adding and subtracting fractions with letters in them, and simplifying by factorising and cancelling. 25 min
  3. The Product of Two Linear Expressions Expanding with an area model and the distributive law, including perfect squares and the difference of two squares. 25 min
  4. Substitution and Constructing Expressions Putting numbers — including negatives and decimals — into formulae, and building expressions for areas and number puzzles. 25 min
  5. Changing the Subject of a Formula Rearranging formulae with function machines and the balance method, including when the letter is negative or in a denominator. 30 min

Expressions and formulae quiz

Twelve questions drawn at random from a bank of sixteen, covering simplifying, algebraic fractions, expanding brackets, substitution and rearranging.

12 questions · pass mark 70%

Take the quiz