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Solving equations and inequalities common mistakes

Use these common mistakes for Solving equations and inequalities in AQA Mathematics 8300. The page is built from approved learning objectives for this topic and links back to the wider unit, topic hub, and related revision assets.

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common mistakes

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Topic

Solving equations and inequalities

AQAGCSEMathematicsAlgebra

Common mistakes

  • Linear equations common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Solve linear equations in one unknown algebraically, including equations with brackets..

    Show the method first, then give the final answer in the required form. Apply this directly to Linear equations.

  • Linear equations common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Find approximate solutions to linear equations using a graph..

    Show the method first, then give the final answer in the required form. Apply this directly to Linear equations.

  • Linear equations common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Include equations with the unknown on both sides where tier-appropriate..

    Show the method first, then give the final answer in the required form. Apply this directly to Linear equations.

  • Quadratic equations common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Solve quadratic equations algebraically by factorising, including rearranged equations where tier-appropriate..

    Show the method first, then give the final answer in the required form. Apply this directly to Quadratic equations.

  • Quadratic equations common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Find approximate quadratic solutions using a graph..

    Show the method first, then give the final answer in the required form. Apply this directly to Quadratic equations.

  • Quadratic equations common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Higher only] Solve quadratic equations by completing the square and using the quadratic formula..

    Show the method first, then give the final answer in the required form. Apply this directly to Quadratic equations.

  • Simultaneous equations common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Solve two simultaneous linear equations in two variables algebraically..

    Show the method first, then give the final answer in the required form. Apply this directly to Simultaneous equations.

  • Simultaneous equations common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Find approximate solutions to simultaneous equations using a graph..

    Show the method first, then give the final answer in the required form. Apply this directly to Simultaneous equations.

  • Simultaneous equations common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Higher only] Solve simultaneous equations involving one linear and one quadratic equation..

    Show the method first, then give the final answer in the required form. Apply this directly to Simultaneous equations.

  • Iteration common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Higher only] Find approximate solutions to equations numerically using iteration..

    Show the method first, then give the final answer in the required form. Apply this directly to Iteration.

  • Iteration common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Higher only] Use suffix notation in recursive formulae where required..

    Show the method first, then give the final answer in the required form. Apply this directly to Iteration.

  • Algebraic modelling common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Translate simple situations or procedures into algebraic expressions or formulae..

    Show the method first, then give the final answer in the required form. Apply this directly to Algebraic modelling.

  • Algebraic modelling common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Derive equations, solve them and interpret the solutions in context..

    Show the method first, then give the final answer in the required form. Apply this directly to Algebraic modelling.

  • Algebraic modelling common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Higher only] Derive and solve two simultaneous equations from a contextual problem..

    Show the method first, then give the final answer in the required form. Apply this directly to Algebraic modelling.

  • Inequalities common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Foundation and Higher] Solve linear inequalities in one variable and represent solution sets on a number line..

    Show the method first, then give the final answer in the required form. Apply this directly to Inequalities.

  • Inequalities common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Higher only] Solve linear inequalities in one or two variables and quadratic inequalities in one variable..

    Show the method first, then give the final answer in the required form. Apply this directly to Inequalities.

  • Inequalities common mistake 1

    Writing a final answer without showing the method that justifies it. This can weaken answers for: [Higher only] Represent inequality solutions using set notation and graphs..

    Show the method first, then give the final answer in the required form. Apply this directly to Inequalities.

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