Two-step equations

The main difference between one-step equationsand two-step equations is that one more step you need to do in order to solve a two-step equation. That additional step may be something like multiplying the variable by a certain number to get rid of a fraction in front of it. Otherwise, the rules are the same as before and these equations are just as easy to learn and solve as are the one-step ones

 An example of two-step equations

The easiest way to learn math is through the use of examples and some practice. So, we are going to explain the process of solving these equations on this example:

4x – 7 = 13

The first thing you need to do here is get all the variables on one side (in this case – the left side) and all the numbers on the other. Like this:

4x = 13 + 7

After that, you have to add those two numbers. You should get this as a result:

4x = 20

This concluded the first step. What is left now is to get rid of the number next to the variable. You can do that by dividing the whole equation with the number 4. Like this:

4x = 20 |:4
x = 5

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two step equations

That was the second step. You found the value of the variable and the equation is now solved. I am sure you will all agree this was not hard to do. And although these equations can be a bit more complicated, the principle is always the same. First you need to simplify the equation by moving the numbers around (and do not forget to change signs when you move numbers from side to side) and then get rid of the number in front of the variable to find its value (by multiplying or dividing the number with itself). Of course, you can perform these steps in reverse (getting rid of the number in front of the variable first, then the “moving around” bit), but this way will save you some time and effort in most cases.
If you want to practice solving two-step equations, you can download the worksheets below this article for free.

Two-step equations exams for teachers

Exam Name File Size Downloads Upload date
Integers
Two-step equations – Integers – very easy 458.8 kB 13706 October 13, 2012
Two-step equations – Integers – easy 458.8 kB 11915 October 13, 2012
Two-step equations – Integers – medium 458.9 kB 16387 October 13, 2012
Two-step equations – Integers – hard 458.9 kB 6727 October 13, 2012
Two-step equations – Integers – very hard 459 kB 4981 October 13, 2012
Decimals
Two-step equations – Decimals – very easy 459.6 kB 1851 October 13, 2012
Two-step equations – Decimals – easy 459.1 kB 1658 October 13, 2012
Two-step equations – Decimals – medium 459.3 kB 1828 October 13, 2012
Two-step equations – Decimals – hard 459.4 kB 958 October 13, 2012
Two-step equations – Decimals – very hard 459.5 kB 849 October 13, 2012
Fractions
Two-step equations – Fractions – very easy 462.8 kB 3660 October 13, 2012
Two-step equations – Fractions – easy 462.8 kB 2981 October 13, 2012
Two-step equations – Fractions – medium 463.2 kB 2810 October 13, 2012
Two-step equations – Fractions – hard 462.9 kB 1236 October 13, 2012
Two-step equations – Fractions – very hard 463.3 kB 1253 October 13, 2012

 

Two-step equations worksheets for students

Worksheet Name File Size Downloads Upload date
Two-step equations – Integers 548.1 kB 7847 October 14, 2012
Two-step equations – Decimals 556.8 kB 1416 October 14, 2012
Two-step equations – Fractions 620.1 kB 2529 October 14, 2012

 

Two-step equations knowledge test