An integer is any positive or negative whole number or zero

An expression contains one or more terms, where each term is separated by an operator.

An equation is used to show 2 expressions that are equal to each other.

Checking understanding of algebraic notation

Maths

Securing understanding of equality

Different types of equations

Equality in an equation

Solution to an equation

Many equations, one solution

Solving simple linear equations with an additive step

Solving simple linear equations with a multiplicative step

Preparing to solve two step linear equations

Solving two step linear equations

Rearranging to solve linear equations

Solving complex linear equations

Brackets in equations

Solving linear equations where brackets are used

Solving complex linear equations involving brackets

Solving linear equations graphically using technology

Problem solving with linear equations

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.

In this unit pupils will learn how to find a value that satisfies a linear relationship when one value is known both with a single step operation, and multiple step operations. A variety of cases are explored including using brackets and rearranging.

Solving linear equations

Which equations are represented by this bar model?

Which diagram could represent a rectangle that has a length 3 times its width?

a number multiplied by 3 then subtracted from 7

a number subtracted from 7 then multiplied by 3

Match each expressions to its description.

Select the values of $$a$$ and $$b$$ that satisfy the equation $$2a + 6b = 12$$.

Andeep has 2 blocks, one block is 5 cm smaller than the other. The blocks have a combined height of 121 cm. How tall is the larger block? {{ }} cm

Here is a number line with two numbers shown. What calculation will work out the length of the arrow?

Which calculation represents a half of 8?

A bag of sweets costs 5 p, which of these could represent the cost of buying any number of bags of sweets?

Starter Quiz

Here is a number line with two numbers shown. What calculation will work out the length of the arrow?