The additive inverse of a number is a number that, when added to the original number, gives the sum of 0

Solving simple linear equations with an additive step

Maths

Checking understanding of algebraic notation

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 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

What is the value of the unknown in this bar model? $$x=$${{ }}

The same operation has not been applied to both sides of the equation.

The correct additive inverse has not been added.

The (−8) has not been added to the $$x$$ term and the constant term on the LHS.

Which best describes the mistake that has been made when solving the equation below?

The solution to the equation $$x − 5 = 15$$ is when $$x$$ = {{}}

Which of these shows the correct working to solve the equation $$x + 3.8 = 2.3$$ in one additive step?

The solution to the equation $$x + 7.2 = 14.6$$ is when $$x$$ = {{}}

Which of these is the solution to the equation $$x − {2\over 3} = {5\over 6}$$ ?

Which equations are represented by this bar model?

Match each value with its additive inverse.

What is the value of the expression $$2(3x + 5)$$ when $$x = −3$$ ?

The diagram shows a balanced scale on the left. When an operation is performed to the RHS, it is not balanced. What operation must be performed to the LHS to maintain equality?

Solving simple linear equations with an additive step

Lesson outcome