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 61152 September 3, 2019
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 34580 September 3, 2019
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 35787 September 3, 2019
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 18036 September 3, 2019
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 12936 September 3, 2019
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 7621 September 3, 2019
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 6529 September 3, 2019
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 7225 September 3, 2019
One-step equations – Addition and subtraction of Decimals – hard 555 kB 4973 September 3, 2019
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 3892 September 3, 2019
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 8846 September 3, 2019
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 7920 September 3, 2019
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 7480 September 3, 2019
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 4507 September 3, 2019
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 4349 September 3, 2019
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 28213 September 3, 2019
One-step equations – Multiply and divide – Integers – easy 542.2 kB 19924 September 3, 2019
One-step equations – Multiply and divide – Integers – medium 541 kB 19029 September 3, 2019
One-step equations – Multiply and divide – Integers – hard 544.8 kB 9152 September 3, 2019
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 5434 September 3, 2019
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 5127 September 3, 2019
One-step equations – Multiply and divide – Decimals – easy 557 kB 5132 September 3, 2019
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 4235 September 3, 2019
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 3170 September 3, 2019
One-step equations – Multiply and divide – Decimals – very hard 571 kB 3261 September 3, 2019
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 6492 September 3, 2019
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 6393 September 3, 2019
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 4934 September 3, 2019
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 3477 September 3, 2019
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 3160 September 3, 2019
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 17847 September 3, 2019
One-step equations – Combined – Integers – easy 540.8 kB 17502 September 3, 2019
One-step equations – Combined – Integers – medium 542.5 kB 20493 September 3, 2019
One-step equations – Combined – Integers – hard 544 kB 9268 September 3, 2019
One-step equations – Combined – Integers – very hard 547.6 kB 6466 September 3, 2019
One-step equations – Combined – Decimals – very easy 550.8 kB 3951 September 3, 2019
One-step equations – Combined – Decimals – easy 556.4 kB 4346 September 3, 2019
One-step equations – Combined – Decimals – medium 553.9 kB 4323 September 3, 2019
One-step equations – Combined – Decimals – hard 550.5 kB 3060 September 3, 2019
One-step equations – Combined – Decimals – very hard 551.4 kB 2779 September 3, 2019
One-step equations – Combined – Fractions – very easy 558.7 kB 4817 September 3, 2019
One-step equations – Combined – Fractions – easy 562.4 kB 5170 September 3, 2019
One-step equations – Combined – Fractions – medium 572.1 kB 4847 September 3, 2019
One-step equations – Combined – Fractions – hard 587.6 kB 3246 September 3, 2019
One-step equations – Combined – Fractions – very hard 596.1 kB 3340 September 3, 2019

One-step equations worksheets for students

Worksheet Name File Size Downloads Upload date
One-step equations – Addition and subtraction – Integers 568.6 kB 12114 September 3, 2019
One-step equations – Addition and subtraction – Decimals 573.4 kB 5880 September 3, 2019
One-step equations – Addition and subtraction – Fractions 657.5 kB 4811 September 3, 2019
One-step equations – Multiply and divide – Integers 567.7 kB 7763 September 3, 2019
One-step equations – Multiply and divide – Decimals 573.5 kB 4268 September 3, 2019
One-step equations – Multiply and divide – Fractions 631.3 kB 4091 September 3, 2019
One-step equations – Combined – Integers 568 kB 12524 September 3, 2019
One-step equations – Combined – Decimals 573.1 kB 4728 September 3, 2019
One-step equations – Combined – Fractions 646.9 kB 5242 September 3, 2019