The additive inverse of a number is a number that, when added to the original number, gives the sum of 0.

The reciprocal is the multiplicative inverse of any non-zero number. Any non-zero number multiplied by its reciprocal is equal to 1

Checking and securing solving linear equations

Maths

Checking and securing understanding of the distributive law with algebraic terms

The product of two binomials

Difference of two squares

More complex binomial products

Additive relationships

Multiplicative relationships between terms

Changing the subject with simple formula

Changing the subject with more complex formula

Changing the subject to suit the context

Evaluating expressions with and without changing the subject

Problem solving with expressions and formulae

In this unit, pupils use the distributive law to find the product of two binomials. In algebraic manipulation, pupils use apply this knowledge in order to factorise quadratics.

In the prior unit, pupils learnt how to rearrange an equation to find a specific value that satisfied the equation. In expressions and formulae, pupils use their understanding of rearrangement to change the subject of a formula.

This unit develops pupil understanding of formulae and how to rearrange them. Pupils will learn how to recognise and manipulate binomials and learn to recognise the difference of two squares.

Expressions and formulae

The solution to the equation $$3(x + 4) = 33$$ is when $$x =$${{}}.

Which of these equations are equivalent to $$2(4x - 3) = 18$$ ?

The solution to the equation $$5(x - 3) = 2(3x - 8)$$ is when $$x=$${{}}.

Select the equations that are equivalent to $$5(2x - 3) = 10$$.

The solution to $$3(2x + 5) + 5(x - 6) = 29$$ is when $$x =$${{}}.

The solution to $$7(2x - 3) - 5(2x - 3) = 42$$ is when $$x = $${{}}.

The solution to $$y + 8 = 5$$ is when $$y=$${{}}.

The solution to $$3y = 15$$ is when $$y=$${{}}.

Which of these equations are equivalent to the equation $$5x + 20 = 25$$ ?

Which of these equations are equivalent to the equation $$4x + 14 = 2x - 7$$ ?

Checking and securing solving linear equations

Lesson outcome