Rearranging Equations Math Worksheets

Changing the subject of formulae is an important skill in algebra, so prepare students well by using our rearranging equations worksheets for high school 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 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 High School 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 students master rearranging equations, including a wealth of practice questions and some entertaining tasks involving changing the subject of formulae. Use Cazoom Math for quality rearranging equations worksheets which prepare students for any question they might face.

Rearranging Equations: The Math You Need When You Need It

Rearranging equations is one of the most essential skills for learning algebra and understanding algebraic formulae.

Many students have trouble with this concept when they are first introduced to it, but with enough practice, any young mathematician can learn how to rearrange equation and make it solvable.

The general idea behind rearranging formulas is to isolate the variable. Let’s take the simple equation, x-3/3 = 12 as an example. As students who have already been introduced to more basic algebraic concepts will note, “x” is the variable in this formula, which means its value is unknown. The idea is to get the “x” on one side of the equation so that students can figure out its value.

There is a set of rules that must be followed when manipulating equation. Once students have a basic grasp of these rules by using Cazoom Math worksheets, they can begin to practice solving for variables themselves.

What Are Mathematical Inverses

Mathematical inverse refers to undoing operations.

This part of rearranging formulas involves taking any operation involving the variable and performing its inverse. The inverse of adding is subtracting, the inverse of multiplying is dividing, and the inverse of squaring is square rooting.

Students can use mathematical inverses to rearrange equations by performing the inverse operation on both sides. If they do this correctly, they will eventually wind up with the variable isolated on the left side of the equation and the information required to solve it on the right.

Using Flowchart Method

One simple method for rearranging formulae is known as the flowchart method. Students can use this method to determine how equations are built. Create the flow chart by putting the variable in one box.

Next, determine the order of operations using the information found below to fill in subsequent boxes, adding one operation to each. By the end, it will break down the formula to produce the required expression.

Once this part of the flowchart has been completed, replace the expression in the final box with the known result. Follow the flow chart backward using an identical order of operations until the formula has been rearranged completely. Eventually, it will produce the value of the variable.


Solving for any variable in any equation requires following a certain set of rules, known as formal rules. The first of these rules that students learn in science, math, or chemistry classes is the rule of symmetry, which says that any operation performed to one side of the equation must also be performed to the other.

Students also learn what rearrange means in math formulae by using the commutative rules. These mathematical rules indicate that the order of operations does not affect how mathematicians go about rearranging formulae. Instead, students should follow the common mnemonic device: PEMDAS.

PEMDAS stands for parentheses, exponents, multiplication, division, addition, subtraction. It is the order in which operations should be performed when using mathematical inverses to create a rearranged equation.

One mathematician and teacher, Dr. Peterson, points out that “the rules actually fall into two categories: the natural rules…and the artificial rules.” (1) The PEMDAS mnemonic refers to the natural rules, while artificial rules include things like left-to-right evaluation.

If parents had any doubt as to why their children are struggling to understand basic algebra, check out the worksheets showing them how to rearrange equations from Cazoom Maths. The best thing parents or teachers can do for their young mathematicians is to offer them rearranging equations examples and help them complete a rearranging equations worksheet. This will offer them the basic foundation they need to learn more complex formulae and equations in school.


1. The Math Forum: Ask Dr. Math