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Solving Simultaneous Equations - Using Bar Models WORKSHEET
Suitable for Grades: Algebra I, IM 1
CCSS: 8.EE.C.8, HSA.REI.C.6
CCSS Description: a. Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously. b. Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6. c. Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.
Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.
Solving Simultaneous Equations - Using Bar Models WORKSHEET DESCRIPTION
This worksheet introduces solving 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.
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.
All worksheets are created by the team of experienced teachers at Cazoom Math.
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Frequently Asked Questions
This solving simultaneous equations - using bar models worksheet is designed for students in Algebra I and IM 1 and aligns with Common Core State Standards.