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Solving Quadratic Equations WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Quadratic expressions, solving linear equations.
Learning Objective: Solving simple quadratic equations

Solving Quadratic Equations WORKSHEET DESCRIPTION

This worksheet is designed to encourage learners to focus on providing two solutions where appropriate to a quadratic equation. The quadratics can be solved without the need for factorising, just equation balancing using inverse operations.

Section A begins by presenting equations in the form x2 = a and -x2 = -a.

Section B then extends this by adding a coefficient or including a squared bracket.

Section C adds some additional steps to the rearrangements required and finally, section D presents a mixed exercise based on the previous sections.

All worksheets are created by the team of experienced teachers at Cazoom Maths.

Frequently Asked Questions

Students should have a solid understanding of quadratic expressions and be confident with solving linear equations before tackling these problems. These foundational skills are essential because learners will need to recognise quadratic forms and apply inverse operations systematically. The worksheet builds on these prerequisites by focusing specifically on equation balancing techniques rather than factorisation methods.