Simultaneous Equations (Two Linear)
Solve two linear simultaneous equations in two variables (KS4)
Find approximate solutions using a graph (KS4) Derive two simultaneous equations, solve the equations and interpret the solution (KS4) 
Teaching for Understanding
Resources and ideas to promote understanding
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Fluency
Collections of standard practice problems in various formats
Worksheets
Worksheet Generator (Helping with Math)
Generates problems in form ax + by = c, integer solutions only.
Worksheet Generators (Active Maths)
Solving a pair of simultaneous equations by elimination with five difficulty options. Requires subscription.
Generates problems in form ax + by = c, integer solutions only.
Worksheet Generators (Active Maths)
Solving a pair of simultaneous equations by elimination with five difficulty options. Requires subscription.
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Revision Resources
Enrichment, Extension and Problemsolving
Resources to extend thinking, enrich lessons or enhance problemsolving skills
Quick Puzzles and problems
The Storeroom (C. Norledge)
Transum
Quick problems that can be solved using a pair of simultaneous equations:
 Simultaneous shapes 1: Find solutions to one equation with two unknowns.
 Simultaneous shapes 2: Find solutions to two equations with two unknowns. This can be done informally by trial and error/reasoning or by forming and solving a pair of simultaneous equations.
 Simultaneous factors: Systems of three simultaneous equations, one always of the form abc = integer. Good for practising factor listing and basic algebra skills.
 Three clues  Simultaneous equations: Solve a set of three simultaneous equations , one always of the form abc = integer. Could lead to discussion about how many "clues" (equations) are needed to solve for three unknowns.
Transum
Quick problems that can be solved using a pair of simultaneous equations:
Longer Problems and Investigations
Linking to Real Life
Solving Simultaneous Equations: French Wine (METAL maths & DeSTRESS stats via YouTube)
Fantastic clip with explanation of profit and loss modelling leading to a pair of simultaneous equations; don't play full program as notation gets offputting after two minutes in. There's a similar video on labour markets that's also worth a look.
Break Even Point (Study.com)
Video looking at breakeven points on a lemonade stand; simple explanations.
Fantastic clip with explanation of profit and loss modelling leading to a pair of simultaneous equations; don't play full program as notation gets offputting after two minutes in. There's a similar video on labour markets that's also worth a look.
Break Even Point (Study.com)
Video looking at breakeven points on a lemonade stand; simple explanations.
Extension Activities
Matchless (NRich)
Problemsolving with system of five simultaneous equations. Printable version via Teacher's Resources. There are a further four problems like this available from Don Steward.
Problemsolving with system of five simultaneous equations. Printable version via Teacher's Resources. There are a further four problems like this available from Don Steward.
Other Links and Resources
Useful stuff that doesn't fit anywhere else
Resource Bundles
Systems of Linear Equations Sample Chapter (Big Ideas Math)
Includes a nice breakeven problem for a bedandbreakfast enterprise.
Includes a nice breakeven problem for a bedandbreakfast enterprise.
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