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Solving Systems of Linear Equations - Using Bar Models WORKSHEET

Suitable for Grades: Algebra I, IM 2

CCSS: HSA.REI.B.3, HSA.REI.C.6

CCSS Description: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

Solving Systems of Linear 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 memorized procedures. It is particularly effective in making abstract algebra more accessible by breaking it into manageable, visual components.