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Solving Simultaneous Equations Graphically (B) WORKSHEET

Suitable for Grades: 8th Grade, Algebra I, IM 1

CCSS: 8.EE.C.8.B, HSA.REI.C.6

CCSS Description: 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.

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

Solving Simultaneous Equations Graphically (B) WORKSHEET DESCRIPTION

This worksheet leads learners step by step through solving pairs of linear equations by plotting them on coordinate axes and is designed to be used after Solving Simultaneous Equations Graphically (A).

The questions progress in difficulty. For the first two, students are guided with tables of values to complete, to aid them in plotting the graphs.

Each question presents two linear equations to be plotted, each with its own coordinate grid, allowing learners to visualize how solutions emerge at the point of intersection.

Students are prompted to use substitution to verify their solutions.