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These are the Transum resources related to the statement: "Pupils should be taught to solve 2 simultaneous equations in 2 variables (linear/linear {or linear/quadratic}) algebraically; find approximate solutions using a graph".

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- Simultaneous Shopping Find the cost of the individual items in shopping baskets (introduction to simultaneous equations).
- Superfluous Find a strategy to figure out the values of the letters used in these calculations.
- Simultaneous Equations Video Learn to solve simultaneous equations from the very basic to those containing quadratics. This video is to help you do the online, self-marking exercise.
- Simultaneous Equations A self-marking, multi-level set of exercises on solving pairs of simultaneous equations.
- Simultaneous Solutions Arrange the given pairs of simultaneous equations in groups to show whether they have no solution, one solution or infinite solutions.
- Unbeknownst Some picture grid puzzles which can be solved by using simultaneous equations.
- Graph Plotter An online tool to draw, display and investigate graphs of many different kinds.
- Using Graphs Use the graphs provided and create your own to solve both simultaneous and quadratic equations.

Here are some exam-style questions on this statement:

- "
*Nora and Dora are trying to solve the following simultaneous equations by finding the intersection of their graphs.*" ... more - "
*Solve the simultaneous equations*" ... more - "
*Estimate the solutions of the following simultaneous equations using their graphs as drawn on the grid below.*" ... more - "
*Solve the simultaneous equations:*" ... more - "
*A rectangular sheet of paper can be cut into two identical rectangular pieces in two different ways, either by cutting along line A or by cutting along line B.*" ... more - "
*Show that you understand equations and inequalities by answering the following:*" ... more - "
*Draw the graph of \(y = 2x^2 + 3x - 7\) for \( -3.5 \le x \le 2\). Draw suitable straight lines to find approximate solutions (to one decimal place) of the equations:*" ... more - "
*Solve algebraically the simultaneous equations to find the solution where \(-10 \le x \le 10\).*" ... more - "
*Two numbers are chosen so that the sum of their squares is 25.*" ... more - "
*The prices of two watches are in the ratio \(a:b\).*" ... more

Click on a topic below for suggested lesson Starters, resources and activities from Transum.

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