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Solving Linear Simultaneous Equations - Using Bar Models WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Foundation/Higher
Targeting grades: 4-5
Prerequisite knowledge: Solving linear equations in one variable.
Learning Objective: Solve two simultaneous equations in two variables.

Solving Linear Simultaneous Equations - Using Bar Models WORKSHEET DESCRIPTION

This worksheet introduces solving linear simultaneous equations using bar models as a visual strategy. In each pair of equations, one of the coefficients is the same, making it ideal for applying the elimination method.

In Section A, learners are guided through pre-drawn bar models representing each equation pair. This helps students understand why eliminating one variable is often the most efficient first step.

Section B challenges students to construct their own bar models based on the given equations before solving them.

Using bar models builds a strong conceptual foundation, supports logical reasoning, and reduces reliance on memorised procedures. It is particularly effective in making abstract algebra more accessible by breaking it into manageable, visual components.

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

Frequently Asked Questions

Solve two simultaneous equations in two variables.