Rearranging Formulae Worksheets – New & Engaging

Rearranging formulae worksheets and rearranging equations worksheets for gcse maths working at foundation and higher at grade 4, grade 6 and grade 8. Rearranging formulae worksheet 1 involves changing the equation also known as changing the subject of the equation. Rearranging formulae worksheet 2 involves rearranging into the form y=mx + c. Rearranging formulae worksheet 3 and rearranging formulae worksheet 4 asks students more difficult questions in a traditional format.

Changing The Subject

Equations and formulae sometimes need to be rearranged. Another way to describe it is "changing the subject". When we write an equation it has a subject, so for example with y = mx + c, y is the subject. With x = 2y - 4 then x is the subject. This is a very important skill when accessing more advanced topics such as those met at A-Level Mathematics.

The image below asks which shows b as the subject? The answer is b = ac + 25.

rearranging formulae

The image below as which shows p as the subject?

rearranging formulae 2

Which shows y in terms of x?

rearranging formulae 4

Rearranging Formulas

Formulas and equations sometimes need to be rearranged. When solving equations the subject is usually changed so that we are finding the unknown with letter "x". Equations can be rearranged with or without brackets. Sometimes students will have to simplify the expression before rearranging the equation. The image below states the question as make t the subject of the equation. The question can be phrased in two other ways. Take a look at the alternatives.

rearranging formulae examples 2

What question could be asked for each solution below? Rearrange the equation so that t is the subject or make t the subject of the equation.

rearranging formulae examples 3

The examples below rearrange the equations such that t is written in terms of s. Take a look at the solutions. Notice that when the subject is negative, we multiply it by negative 1, or add the variable to both sides, also known as "swapping sides".


rearranging formulae examples 4

For the example below we multiply both sides by 4.  The equation looks like 44s = t². To express t in terms of s we square root both sides. Square root is the inverse operation for square numbers.

rearranging formulae examples 5


Rearranging Formulae Worksheets – New & Engaging


For Quadratic Equations Cazoomy Worksheets try: Quadratic Equations Worksheets. For Solving Linear Equations Cazoomy Worksheets try: Solving Linear Equations Worksheets. For Simplifying Expressions Cazoomy Worksheets try: Simplifying Expressions Worksheets.