Maths Essentials, Unit 6, Lesson 5 of 5

Expressions, equations, formulae and identities

GCSE Maths, Algebraic expressions, 20 minutes

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The vocabulary of algebra, the identity sign, finding unknowns in an identity, and simplifying algebraic fractions.

What you will learn

  • Tell an expression, equation, formula and identity apart
  • Use ≡ and show an identity is true
  • Find unknown numbers in an identity
  • Simplify algebraic fractions by cancelling (Higher)

Four words

  • An expression has no equals sign: 3x + 5.
  • An equation is true for particular values: 3x + 5 = 20 only when x = 5.
  • A formula links quantities: A = lw.
  • An identity is true for every value, written with ≡: 2(x + 3) ≡ 2x + 6.

The rest of this lesson and its 7 practice questions are locked.

In this lesson

  1. Four words
  2. Using an identity
  3. Algebraic fractions (Higher)

7 practice questions, marked as you go; about 20 minutes in all.

Key terms

Expression, Equation, Formula, Identity

In this unit: Algebraic expressions

The language of algebra: writing and substituting into expressions, simplifying, expanding brackets, factorising, and telling expressions, equations, formulae and identities apart.

All of Algebraic expressions