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Year 9 maths · G.11 · Functions

Linear or nonlinear equations

An equation is linear if x is only multiplied by numbers and added. If x is squared, cubed or in a denominator, it is nonlinear.

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  1. Is the equation y = x ÷ 4 + 5 linear or nonlinear? Write linear or nonlinear.

    Answer: linear

  2. Is the equation y = x² + 12 linear or nonlinear? Write linear or nonlinear.

    Answer: nonlinear

  3. Is the equation y = 9x + 1 linear or nonlinear? Write linear or nonlinear.

    Answer: linear

Tip: An equation is linear if x is only multiplied by numbers and added. If x is squared, cubed or in a denominator, it is nonlinear.

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