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Simultaneous Equations•
Solving Equations

Solving Linear Simultaneous Equations - Change One Equation WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Foundation/Higher
Targeting grades: 4-5
Prerequisite knowledge: Solve 2 step linear equations. Solve simultaneous equations where the coefficients of one variable are the same.
Learning Objective: Solve two simultaneous equations in two variables.

Solving Linear Simultaneous Equations - Change One Equation WORKSHEET DESCRIPTION

Perfect for beginning to solve simultaneous equations, this worksheet consists of systems of equations where one coefficient is a multiple of another for at least one variable.

Section A acts as a warm-up as pupils use substitution to check whether given values are the correct solutions to six pairs of equations.

In Section B, learners will decide: which equation to multiply, what it should be multiplied by, which variable should be eliminated and whether addition or subtraction should be used in order to eliminate it in a further six pairs of equations.

Students will solve 8 systems of simultaneous equations in Section Solutions are a mix of positive and negative values, and most are integers.

Lastly, Section D asks pupils to form and solve a pair of simultaneous equations in order to solve a worded problem.

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

Solving Linear Simultaneous Equations - Change One Equation Worksheet suitable for Year 10 and Year 11 students

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Frequently Asked Questions

Students should be comfortable solving 2-step linear equations and have experience with simultaneous equations where the coefficients of one variable are already the same. This worksheet builds on those foundations by introducing the additional step of modifying one equation to create matching coefficients, making it an ideal progression in their algebraic development.