One-step equations

One-step equations are the simplest equations around. Why? Because they take only one step to solve. The main objective is to have only the variable (x or any other letter that is used ) on one side and the numbers on the other side. The number in front of the variable should be the number 1. For example, let us solve this equation:
3 + x = 4
To solve this equation, you need to move the number 3 to the right side of the equation (remeber the „variables on one side, the numbers on the other“). When you do that, it should look like this.
x = 4 – 3
You have probably noticed that the number 3 has changed to -3 when we moved it. When you move numbers or variables from one side to the other, they change signs. Always. It is very important to remember that. The only thing left to do now is to perform the subtraction to get the final result, which is:
x = 1
The other very important thing to remember is that whatever you do to one part of the equation, you have to do with the other as well. We are going to show you on this example:
3x = 9
The only thing you have to do is to get rid of the number 3 in front of the variable x. You can acomplish that by dividing the WHOLE equation with the number 3. Like this:
3x = 9 |:3
x = 1
And now you have a solved equation.
These are the basic rules for solving one-step equations. Hope we helped you learn to solve these simple equations and that you have a good time practicing them using our worksheets.

one-step equations

One-step equations exams for teachers

Exam Name File Size Downloads Upload date
One-step equations – Addition and subtraction of Integers – very easy 534.7 kB 16441 October 13, 2012
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 9771 October 13, 2012
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 10369 October 13, 2012
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 5563 October 13, 2012
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 3867 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 2265 October 13, 2012
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 2013 October 13, 2012
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 2334 October 13, 2012
One-step equations – Addition and subtraction of Decimals – hard 555 kB 1439 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 1264 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 2714 October 13, 2012
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 2652 October 13, 2012
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 2394 October 13, 2012
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 1376 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 1313 October 13, 2012
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 7012 October 13, 2012
One-step equations – Multiply and divide – Integers – easy 542.2 kB 5278 October 13, 2012
One-step equations – Multiply and divide – Integers – medium 541 kB 5420 October 13, 2012
One-step equations – Multiply and divide – Integers – hard 544.8 kB 2557 October 13, 2012
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 1594 October 13, 2012
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 1462 October 13, 2012
One-step equations – Multiply and divide – Decimals – easy 557 kB 1613 October 13, 2012
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 1355 October 13, 2012
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 1029 October 13, 2012
One-step equations – Multiply and divide – Decimals – very hard 571 kB 827 October 13, 2012
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 1969 October 13, 2012
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 2017 October 13, 2012
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 1567 October 13, 2012
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 1030 October 13, 2012
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 966 October 13, 2012
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 4688 October 13, 2012
One-step equations – Combined – Integers – easy 540.8 kB 4814 October 13, 2012
One-step equations – Combined – Integers – medium 542.5 kB 5587 October 13, 2012
One-step equations – Combined – Integers – hard 544 kB 2796 October 13, 2012
One-step equations – Combined – Integers – very hard 547.6 kB 1758 October 13, 2012
One-step equations – Combined – Decimals – very easy 550.8 kB 1134 October 13, 2012
One-step equations – Combined – Decimals – easy 556.4 kB 1278 October 13, 2012
One-step equations – Combined – Decimals – medium 553.9 kB 1251 October 13, 2012
One-step equations – Combined – Decimals – hard 550.5 kB 880 October 13, 2012
One-step equations – Combined – Decimals – very hard 551.4 kB 777 October 13, 2012
One-step equations – Combined – Fractions – very easy 558.7 kB 1452 October 13, 2012
One-step equations – Combined – Fractions – easy 562.4 kB 1625 October 13, 2012
One-step equations – Combined – Fractions – medium 572.1 kB 1430 October 13, 2012
One-step equations – Combined – Fractions – hard 587.6 kB 1004 October 13, 2012
One-step equations – Combined – Fractions – very hard 596.1 kB 1024 October 13, 2012


One-step equations worksheets for students

Worksheet Name File Size Downloads Upload date
One-step equations – Addition and subtraction – Integers 568.6 kB 3006 October 14, 2012
One-step equations – Addition and subtraction – Decimals 573.4 kB 1187 October 14, 2012
One-step equations – Addition and subtraction – Fractions 657.5 kB 1265 October 14, 2012
One-step equations – Multiply and divide – Integers 567.7 kB 2204 October 14, 2012
One-step equations – Multiply and divide – Decimals 573.5 kB 1349 October 14, 2012
One-step equations – Multiply and divide – Fractions 631.3 kB 1218 October 14, 2012
One-step equations – Combined – Integers 568 kB 4149 October 14, 2012
One-step equations – Combined – Decimals 573.1 kB 1340 October 14, 2012
One-step equations – Combined – Fractions 646.9 kB 1631 October 14, 2012


One-step equations knowledge test