An equation is used to show two expressions that are equal to each other.

Solving complex linear equations involving brackets

Maths

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

In the prior unit, pupils saw that an arithmetic sequence can be represented graphically and that this is a linear relationship. Any point on the line satisfies this relationship. In this unit, pupils learn how to find a value that satisfies the relationship when the second value is known, without the aid of the graph.

Solving linear equations

You can expand brackets in the expression $$2(y+9)+2(3y-7)$$ to get the expression $$2y+18+6y-14$$. You now have like terms that can be {{}}.

The perimeter of this rectangle is $$154$$ units. Which equation can be used to find $$x$$?

The perimeter of this rectangle is $$154$$ units. The value of $$x$$ is {{}}.

Which of these are accurate first steps when solving $$4(3x-1)-2(x+2)=72$$ ?

The solution to $$4(3x-1)-2(x+2)=72$$ is $$x=$${{}}.

The solution to $$8(3x-6)-5(3x-6)=9$$ is $$x=$${{}}.

The command word to turn $$-2(5-3y)$$ into $$6y-10$$ is {{}}.

The command words to turn $$5(x+7)-3(x+2)$$ into $$2x+29$$ are  {{}}.

Which of these expressions can be simplified before the brackets are expanded?

Which of the below are expressions for the perimeter of this rectangle?

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

Solving complex linear equations involving brackets

Lesson outcome

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