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Solving Quadratic Equations (D) (by Completing the Square) worksheet

Suitable for Year groups: 10, 11
GCSE Tier:
Higher
Targeting grades: 6-7
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Prerequisite knowledge: Quadratic expressions, completing the square, solving linear equations.
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Solving Quadratic Equations (D) (by Completing the Square) worksheet description

This worksheet is designed to provide a scaffolded approach to solving quadratic equations by completing the square.

Section A provides four quadratics that have already been written in the completed square from and just need to be rearranged to give the solutions for x.

Section B then presents some quadratics with an x squared coefficient of one, four of which are equal to zero, and four requiring additional manipulation.

Section C then provides six quadratics with an x squared coefficient greater than one. For an extra challenge, the extension question asks learners to find missing coefficients and also derive the quadratic formula.

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