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?

Starter Quiz