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Simultaneous Equations•
Solving Equations

Solving Non-linear Simultaneous Equations WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Solving quadraric equations, substituion.
Learning Objective: Solving quadratic simultaneous equations

Solving Non-linear Simultaneous Equations WORKSHEET DESCRIPTION

The questions in this worksheet will challenge learners to think about the different methods required to solve non-linear simultaneous equations.

Section A provide sets of equations that can easily be manipulated into a “y=” format before solving for x.

Section B presents questions that will require more algebraic manipulation and substitution methods. There is an additional extension question based on the area of parts of a flag.

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

Solving Non-linear Simultaneous Equations Worksheet created for students in KS4

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Frequently Asked Questions

Students should be confident with solving quadratic equations and substitution methods before tackling these problems. These foundational skills are essential because the worksheet requires learners to combine both techniques when working through the algebraic manipulation needed in Section B. Without these prerequisites, students may struggle with the more complex simultaneous equation solving processes.