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

Brackets in equations

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

If you multiply both sides of an equation by $$2$$, you will maintain {{}}.

True. Both have $$\times 5$$ and $$+10$$ so they are the same function.

True or false? Multiplying by $$5$$ and then adding $$10$$ is the same as adding $$10$$ then multiplying by $$5$$.

What equation does this bar model represent?

Multiply both sides of this equation $${1\over3}x-5 = 2x+7$$ by $$3$$. 

Which of the below is the most efficient first step to solve the equation $${3\over{x}}= 10$$ ?

Turning the expression $$5(y-2)$$ into $$5y-10$$ is known as {{}} the brackets.

True. There is a $$2$$, an $$x$$, and a $$+4$$. That means they are the same.

False. $$2$$ lots of $$(x+4)$$ is $$(x+4)+(x+4)$$ which is $$2x+8$$ not $$2x+4$$

You cannot know until you know the value of $$x$$.

$$2(x+4)$$ and $$2x+4$$ are the equivalent expressions. True or false?

Which of these are expressions for the perimeter of this square?

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

Brackets in equations

Lesson outcome

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