Linear Relationships (2)

These two worksheets are a follow-up of the three worksheets in Linear Relationships (1) and their aim is to show the graphical representation of the solution of a pair of simultaneous equations.
Each worksheet has 9 questions in which a pair of linear relationships is defined by two equations or by a given context. The graphs of the linear relationships need to be drawn and the point of intersection needs to be calculated by solving an equation. The first six questions on each worksheet are in abstract form and the last three question are given in context.
The equations on the worksheet ‘Linear Relationships 4’ are given in the format ‘y = mx + c’ and the equations are expected to be solved simultaneously by using the balancing method. The equations on the worksheet ‘Linear Relationships 5’ are given in the format 'ax + by = c' and should be solved simultaneously by using the elimination method.
The worksheets are targeted at Year 8 and Year 9 but also GCSE students would still benefit from this resource as it further enhances their understanding of how and why we solve equations simultaneously.
It should take students, depending on their ability level, between two and three hours to complete both worksheets. The worked answers accompanying these worksheets allow the teaching and learning to continue beyond the classroom and it is therefore an ideal resource for a school’s VLE.

For your convenience, the Word file is included and can be edited to meet the needs of your students.