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

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.

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 $$4x + 14 = 2x - 7$$ ?

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