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Solving Systems of Equations Graphically 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.

Solving Systems of Equations Graphically WORKSHEET DESCRIPTION

This worksheet is designed to provide practice for learners to solve systems of linear equations graphically. Section A provides six sets of systems of equations that have been plotted. Learners will just need to read off the point of intersection correctly. Section B then provides three sets of equations and a blank coordinate grid for learners to plot the lines and read off the solutions.

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

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Frequently Asked Questions

This worksheet is designed for IM 1 and Algebra I students who are learning to work with systems of linear equations. These grade levels typically focus on building foundational skills in solving equations, making the graphical approach an excellent visual method for understanding how two linear equations can intersect at a solution point.

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