Equations which represent different relationships between the same variables are called simultaneous equations.

The relationship between two variables is linear if, when plotted on a pair of axes, a straight line is formed.

Checking and securing understanding of simultaneous equations

Maths

In this unit, pupils will learn how to extend their understanding of solving equations and extend this to consider inequalities. Pupils will consider a variety of inequalities and ways that their solutions can be represented.

In this unit, pupils extend their understanding of inequalities and consider a range of contextual inequalities and ways to find and represent their solutions.

Inequalities

An inequality is used to show that one expression may not be equal to another.

Non-solutions to simultaneous linear equations

Inequalities on number lines

Solving simple linear inequalities

Solving more complicated linear inequalities

Linear inequalities in context

A single solution set

A solution is a value, or set of values, that can be put in place of an unknown which makes the equation true.

Solution set notation

A region is an area that graphically represents the solutions to one or more inequalities. Every coordinate pair within the region satisfies the inequalities that define the region.

Solving a linear inequality graphically

Solving a set of linear inequalities graphically

Relating graphical solutions to algebraic solutions for inequalities

A quadratic is an equation, graph or sequence where the highest exponent of the variable is 2. The general form for a quadratic is ax^2 + bx + c

Inequalities

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These lessons will be removed by end of Summer Term 2025.