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Learning objective

1 Create basic expressions and equations, such as expressing a number that is 2 more than n, including forming linear simultaneous equations. 2 Solve linear equations with one variable, for example: 3x + 4 = 10. 3 Solve simultaneous linear equations involving two variables, such as: 5 - 2x = 3(x + 7). 4 Rearrange simple formulas to make a specific variable the subject, including cases where the variable appears only once and does not involve powers or roots.

Read the explanation, check the common trap, then practise with flashcards and questions.

Exam focus

  • Read the explanation.
  • Check key terms.
  • Practise with linked questions.
Cambridge IGCSE MathematicsCore Algebra and graphs

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Quick explanation

1 Create basic expressions and equations, such as expressing a number that is 2 more than n, including forming linear simultaneous equations. 2 Solve linear equations with one variable, for example: 3x + 4 = 10. 3 Solve simultaneous linear equations involving two variables, such as: 5 - 2x = 3(x + 7). 4 Rearrange simple formulas to make a specific variable the subject, including cases where the variable appears only once and does not involve powers or roots

  • This point belongs to Equations, especially Equations outcomes.
  • You need to be able to 1 Create basic expressions and equations, such as expressing a number that is 2 more than n, including forming linear simultaneous equations. 2 Solve linear equations with one variable, for example: 3x + 4 = 10. 3 Solve simultaneous linear equations involving two variables, such as: 5 - 2x = 3(x + 7). 4 Rearrange simple formulas to make a specific variable the subject, including cases where the variable appears only once and does not involve powers or roots.
  • The key ideas to know are Construct, Determine, and Show.
  • Use the linked flashcards and practice questions to check recall, then practise applying the idea in an exam-style answer.

Key concepts

ConstructDetermineShowWork out

Why it matters

This objective helps connect Equations outcomes to exam-style questions, flashcards, and revision notes for Equations.

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Practice Questions7 linked questions

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Paper 2 structured question: Equations

Paper 2Core or Extended Mathematics2 marks

Description

Equation Solving

Solve the following equation: 4x + 7 = 27.

  1. a

    Calculate Find the value of x.

    Aim for approximately 2 distinct marking points.

    [2]
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