Like terms are terms that have the same set of variables and corresponding exponents

Preparing to solve two step linear equations

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 an additive step

Solving simple linear equations with a multiplicative step

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?

For this bar model, there is a solution to the equation $$5x + 15 = 55$$ when $$x =$$ {{}}.

Which of these are equivalent to the equation $$7(x − 1) − 3(x − 1) = 50$$ ?

Which of these is equivalent to the equation $$5(2x+1) − 3(3x − 2) = 50$$ ?

This shape is made out of a rectangle and two rhombuses (one on each end of the rectangle). Which of these is the correct expression for the perimeter of the shape?

The solution to the equation $$x + 16 = 11$$ is $$x$$ = {{}}.

The solution to $$12x =−48$$ is $$x=$$ {{}}.

{{}} terms are terms that have the same set of variables and corresponding exponents.

Which of these is equivalent to $$−4(2x − 5)$$?

Preparing to solve two step linear equations

Lesson outcome