Back to:

Solving a System of Linear Equations - Three Methods WORKSHEET

Suitable for Grades: 8th Grade, Algebra I
CCSS: 8.EE.C.8B, HSA.REI.C.6
CCSS Description: No description available

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

Solving a System of Linear Equations - Three Methods WORKSHEET DESCRIPTION

This worksheet requires students to practice three methods for solving linear simultaneous equations: graphically, by elimination, and by substitution.

In Section A, students solve two pairs of simultaneous equations using all three methods. The first set presents a simple system where the sum and difference of x and y are given, making elimination a natural approach. The second set involves equations in the form y = mx + c, reinforcing graphical solutions.

Section B challenges students to select the most efficient method to solve new pairs of equations.

Coordinate grids are provided for each question, as is ample room for students’ workings out.