Rearranging Equations Worksheets

Changing the subject of formulae is an important skill in algebra, so prepare students well by using our rearranging equations worksheets for GCSE students. Our resources cover all the important information students need to know about rearranging algebraic formulae, and have plenty of questions and activities for practice. We have worksheets suitable for all levels, from putting equations in to the form y=mx + c, to rearranging complex equations with several functions. These resources are designed to help GCSE students gain confidence with rearranging formulae and help them achieve the best grades possible. Our rearranging equations worksheets with answers allow you to check students’ progress and pinpoint areas for revision.

Printable Rearranging Equations Worksheets for GCSE Students

Printable Rearranging Equations Worksheets for GCSE Students All of our resources on rearranging algebraic equations are in PDF format, allowing them to be easily downloaded and printed. We offer a variety of activities to help GCSE students master rearranging equations, including a wealth of practice questions and some entertaining tasks involving changing the subject of formulae. Use Cazoom Maths for quality rearranging equations worksheets which prepare students for any question they might face.

A Review of Important Rules for Rearranging Equations

In mathematics, an equation is a statement that declares two expressions are equal.

In the English language, all equalities are considered equations. Equations can be solved in different ways, and they sometimes need to be rearranged before an answer can be found. With this information and practice with our worksheets, you will be able to understand rearranging formulae more easily.

What You Need to Know?

Equations do not have to be an overly difficult subject to master if you know how to rearrange equations effectively.

While it might seem a little overwhelming trying to manipulate a formula, there is a good reason it needs to be done. Knowing the reason will help you solve all types of formulae.

What Is a Formula in Maths?

A maths formula is a grouping of mathematical symbols that are used to solve a problem or show a relationship among numbers or variables.

Now that you know the definition of formula, it is time to learn about rearranging formulas. The steps to rearranging formulae are simple.

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You are likely wondering why anyone would want to rearrange an equation. You should rearrange equations because then you can easily solve for any variable. The following are some of the reasons you should learn rearranging formulas in your math practice:

  • When you can manipulate an equation, it cuts down drastically on the amount of memorization you need to do. If you can rearrange formulas, you will only have to remember one equation with all the variable questions.
  • If you know anything about equations, you know they are easier to solve before you start inserting numbers. Being able to isolate a variable on one side, makes the equation much easier to solve.
  • Keeping track of the units on a number is an essential part of solving equations. By manipulating the equation, you can easily insert numbers and cancel the units, allowing you to end up with the right units for all variables.


Steps to rearranging a formula: 

  1. Look at what you have, but do not put any numbers in just yet.
  2. Decide which variable you want as your answer.
  3. Rearrange the equation so you place the intended variable on one side by itself.
  4. Put in the numbers.
  5. Find the value of the unknown variable.

As with all algebra problems, there are some rules you will need to remember when working with a rearranged equation. Keeping these in mind will help you to avoid making mistakes that cause you to input the wrong answer. 

Rules for rearranging equations:

  1. Anything you do to one side must be done to the other. You can always perform any action, such as addition, subtraction, or division, but what is done to one side must be done to the other. Think of the equal sign as a fulcrum. You must keep both sides balanced so the meaning of the equation remains the same.
  2. If you plan to cancel or move any variable or quantity, always make sure to do the opposite on the other side. If you add on one side, you must subtract on the other side. Doing the opposite move will balance the equation and allow it to remain true.

The formula for the density of an object is D=m/v.

To isolate m, you will multiply both sides by v.

This will allow you to find the value of m.

To evaluate algebraic expressions, you first need to know the definition of a variable. A variable is a letter represented by x, y, or z. The letter represents a number that has not been given.

For example: 7+x= 12

To evaluate the expression, you simply need to input a number in place of the x and perform the mathematics operations in the problem. In the example above, x=5 because 7+5=12. Once you know the value of your variable (letter), you will be able to evaluate the expression and see if the number is correct.

We have a ton of practice worksheets that can help you about rearranging equations. The more you practice, the better equipped you will be to solve these formulae with ease.