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

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

Solving quadratic inequalities algebraically

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.

Inequalities

The curve $$y=x^2+2x-15$$ has __________ at $$x=-5$$ and $$x=3$$.

The solution to $$2x^2-5x+20<x^2+8x-10$$ is $$3<x<$${{}}.

$$(x+8)(x-2)$$ is the quadratic $$x^2+6x-16$$ in __________ form.

Match the quadratics to their factorised form.

If $$x^2-7x-30=0$$ factorises to $$(x-10)(x+3)=0$$, where are its roots?

Which of the below is the quadratic formula?

This is a sketch of $$y=x^2-10x+24$$. Use it to solve this inequality: $$x^2-10x+24<0$$.

Which of these is a rearrangement of $$x^2-10x-87=0$$ when completing the square?

This lesson will be removed by end of Summer Term 2025.

Solving quadratic inequalities algebraically

Lesson outcome

This lesson will be removed by end of Summer Term 2025.