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)(buy cialis online) 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 0 B 65107 January 1, 1970
Two-step equations – Integers – easy 0 B 61417 January 1, 1970
Two-step equations – Integers – medium 0 B 74395 January 1, 1970
Two-step equations – Integers – hard 0 B 28239 January 1, 1970
Two-step equations – Integers – very hard 0 B 20948 January 1, 1970
Decimals
Two-step equations – Decimals – very easy 0 B 7355 January 1, 1970
Two-step equations – Decimals – easy 0 B 6292 January 1, 1970
Two-step equations – Decimals – medium 0 B 8543 January 1, 1970
Two-step equations – Decimals – hard 0 B 3774 January 1, 1970
Two-step equations – Decimals – very hard 0 B 3472 January 1, 1970
Fractions
Two-step equations – Fractions – very easy 0 B 15098 January 1, 1970
Two-step equations – Fractions – easy 0 B 12353 January 1, 1970
Two-step equations – Fractions – medium 0 B 11174 January 1, 1970
Two-step equations – Fractions – hard 0 B 4639 January 1, 1970
Two-step equations – Fractions – very hard 0 B 4997 January 1, 1970

 

Two-step equations worksheets for students

Worksheet Name File Size Downloads Upload date
Two-step equations – Integers 0 B 33484 January 1, 1970
Two-step equations – Decimals 0 B 5801 January 1, 1970
Two-step equations – Fractions 0 B 9391 January 1, 1970

 

Two-step equations knowledge test