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 soon be taken down.

Brackets in equations

Lesson outcome