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 8131 October 13, 2012
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 5045 October 13, 2012
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 5503 October 13, 2012
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 2987 October 13, 2012
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 2097 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 1236 October 13, 2012
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 1059 October 13, 2012
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 1257 October 13, 2012
One-step equations – Addition and subtraction of Decimals – hard 555 kB 754 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 687 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 1448 October 13, 2012
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 1393 October 13, 2012
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 1211 October 13, 2012
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 757 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 732 October 13, 2012
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 3308 October 13, 2012
One-step equations – Multiply and divide – Integers – easy 542.2 kB 2565 October 13, 2012
One-step equations – Multiply and divide – Integers – medium 541 kB 2638 October 13, 2012
One-step equations – Multiply and divide – Integers – hard 544.8 kB 1290 October 13, 2012
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 773 October 13, 2012
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 762 October 13, 2012
One-step equations – Multiply and divide – Decimals – easy 557 kB 841 October 13, 2012
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 712 October 13, 2012
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 526 October 13, 2012
One-step equations – Multiply and divide – Decimals – very hard 571 kB 434 October 13, 2012
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 1038 October 13, 2012
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 977 October 13, 2012
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 804 October 13, 2012
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 499 October 13, 2012
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 528 October 13, 2012
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 2311 October 13, 2012
One-step equations – Combined – Integers – easy 540.8 kB 2360 October 13, 2012
One-step equations – Combined – Integers – medium 542.5 kB 2847 October 13, 2012
One-step equations – Combined – Integers – hard 544 kB 1509 October 13, 2012
One-step equations – Combined – Integers – very hard 547.6 kB 926 October 13, 2012
One-step equations – Combined – Decimals – very easy 550.8 kB 583 October 13, 2012
One-step equations – Combined – Decimals – easy 556.4 kB 677 October 13, 2012
One-step equations – Combined – Decimals – medium 553.9 kB 637 October 13, 2012
One-step equations – Combined – Decimals – hard 550.5 kB 481 October 13, 2012
One-step equations – Combined – Decimals – very hard 551.4 kB 415 October 13, 2012
One-step equations – Combined – Fractions – very easy 558.7 kB 766 October 13, 2012
One-step equations – Combined – Fractions – easy 562.4 kB 895 October 13, 2012
One-step equations – Combined – Fractions – medium 572.1 kB 766 October 13, 2012
One-step equations – Combined – Fractions – hard 587.6 kB 541 October 13, 2012
One-step equations – Combined – Fractions – very hard 596.1 kB 583 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 1711 October 14, 2012
One-step equations – Addition and subtraction – Decimals 573.4 kB 610 October 14, 2012
One-step equations – Addition and subtraction – Fractions 657.5 kB 683 October 14, 2012
One-step equations – Multiply and divide – Integers 567.7 kB 1109 October 14, 2012
One-step equations – Multiply and divide – Decimals 573.5 kB 792 October 14, 2012
One-step equations – Multiply and divide – Fractions 631.3 kB 686 October 14, 2012
One-step equations – Combined – Integers 568 kB 2000 October 14, 2012
One-step equations – Combined – Decimals 573.1 kB 751 October 14, 2012
One-step equations – Combined – Fractions 646.9 kB 916 October 14, 2012


One-step equations knowledge test