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Year 10 / GCSE · Maths

Algebra: Equations And Inequalities

Year 10 / GCSE learners practise solving equations and inequalities gcse.

The activities include Create and Solve Equations, Identify Regions in Inequalities, Link Inputs and Outputs, and related practice. The checked support below includes video, worksheet, teaching, practice. Open a resource in its provider's website and choose the format that best helps the learner explain the idea independently.

Activities covered

  • Create and Solve Equations
  • Identify Regions in Inequalities
  • Link Inputs and Outputs
  • Rearrange Formulae
  • Solve Complex Inequalities
  • Solve Complex Quadratic Equations
  • Solve Equations with Fractions
  • Solve Equations with Unknown on Both Sides
  • Solve Inequalities (on a number line)
  • Solve Inequalities with Two Variables
  • Solve Linear and Quadratic Simultaneous Equations
  • Solve Linear Inequalities
  • Solve One Step Equations
  • Solve Quadratic Equations
  • Solve Quadratic Equations Using Factorisation
  • Solve Quadratic Inequalities
  • Solve Simultaneous Equations (by elimination)
  • Solve Simultaneous Equations (by multiplication)
  • Solve Simultaneous Equations (by multiplying one equation)
  • Solve Simultaneous Equations (by substitution)
  • Solve Simultaneous Equations both Linear and Quadratic
  • Solve Simultaneous Equations Graphically
  • Solve Two-Stage Inequalities
  • Solve Two-Step Equations
  • Solve Two-Step Equations (including brackets)
  • Understand and Use Algebraic Terms 1
  • Understand and Use Algebraic Terms 2
  • Use Completing the Square to Solve Quadratics
  • Use Composite Functions
  • Use Formal Function Notation
  • Use Inverse Functions
  • Use the Quadratic Formula
  • Using Greater Than and Equal To Symbols

Checked learning resources

  • Forming linear equations from contexts

    Oak National Academy · Video · Opens on the provider website

    Year 10 Higher Maths lesson translating contextual relationships into linear equations before solving and interpreting the result.

  • Regions defined by several inequalities

    Oak National Academy · Video · Opens on the provider website

    GCSE Higher Maths lesson graphing several linear inequalities and identifying the intersection region that satisfies every condition.

  • Function machines

    Corbett Maths · Video · Opens on the provider website

    GCSE explanation and practice linking inputs, operation rules and unique outputs.

  • Changing the subject of a formula

    Oak National Academy · Video · Opens on the provider website

    Year 10 Higher Maths lesson using inverse operations to rearrange a formula in which the required subject appears once.

  • Solving more complicated linear inequalities

    Oak National Academy · Video · Opens on the provider website

    GCSE Higher Maths lesson solving multi-stage linear inequalities with brackets, unknowns on both sides and sign reversal where required.

  • Solving complex quadratics by factorising

    Oak National Academy · Video · Opens on the provider website

    Year 10 Higher Maths lesson rearranging a quadratic to equal zero, factorising expressions including a non-unit coefficient, and finding both roots.

  • Equations containing fractions

    Corbett Maths · Video · Opens on the provider website

    GCSE explanation and questions clearing fractional terms before solving a linear equation.

  • Solving and interpreting linear equations

    Oak National Academy · Video · Opens on the provider website

    Year 10 Higher Maths lesson solving multi-step linear equations, including equations with brackets and unknowns on both sides, then interpreting solutions.