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Solving Linear Simultaneous Equations – Change One Equation worksheet

Suitable for Year groups: 8, 9
GCSE Tier:
Foundation/Higher
Targeting grades: 4-5
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Prerequisite knowledge: Solve 2 step linear equations. Solve simultaneous equations where the coefficients of one variable are the same.
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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.

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