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 7059 October 13, 2012
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 4403 October 13, 2012
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 4697 October 13, 2012
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 2555 October 13, 2012
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 1790 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 1076 October 13, 2012
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 930 October 13, 2012
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 1081 October 13, 2012
One-step equations – Addition and subtraction of Decimals – hard 555 kB 655 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 589 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 1264 October 13, 2012
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 1226 October 13, 2012
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 1058 October 13, 2012
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 658 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 647 October 13, 2012
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 2894 October 13, 2012
One-step equations – Multiply and divide – Integers – easy 542.2 kB 2190 October 13, 2012
One-step equations – Multiply and divide – Integers – medium 541 kB 2239 October 13, 2012
One-step equations – Multiply and divide – Integers – hard 544.8 kB 1066 October 13, 2012
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 673 October 13, 2012
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 667 October 13, 2012
One-step equations – Multiply and divide – Decimals – easy 557 kB 731 October 13, 2012
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 616 October 13, 2012
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 472 October 13, 2012
One-step equations – Multiply and divide – Decimals – very hard 571 kB 383 October 13, 2012
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 861 October 13, 2012
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 850 October 13, 2012
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 681 October 13, 2012
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 445 October 13, 2012
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 446 October 13, 2012
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 2015 October 13, 2012
One-step equations – Combined – Integers – easy 540.8 kB 2051 October 13, 2012
One-step equations – Combined – Integers – medium 542.5 kB 2341 October 13, 2012
One-step equations – Combined – Integers – hard 544 kB 1215 October 13, 2012
One-step equations – Combined – Integers – very hard 547.6 kB 774 October 13, 2012
One-step equations – Combined – Decimals – very easy 550.8 kB 520 October 13, 2012
One-step equations – Combined – Decimals – easy 556.4 kB 588 October 13, 2012
One-step equations – Combined – Decimals – medium 553.9 kB 554 October 13, 2012
One-step equations – Combined – Decimals – hard 550.5 kB 413 October 13, 2012
One-step equations – Combined – Decimals – very hard 551.4 kB 369 October 13, 2012
One-step equations – Combined – Fractions – very easy 558.7 kB 670 October 13, 2012
One-step equations – Combined – Fractions – easy 562.4 kB 755 October 13, 2012
One-step equations – Combined – Fractions – medium 572.1 kB 656 October 13, 2012
One-step equations – Combined – Fractions – hard 587.6 kB 477 October 13, 2012
One-step equations – Combined – Fractions – very hard 596.1 kB 475 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 1503 October 14, 2012
One-step equations – Addition and subtraction – Decimals 573.4 kB 535 October 14, 2012
One-step equations – Addition and subtraction – Fractions 657.5 kB 591 October 14, 2012
One-step equations – Multiply and divide – Integers 567.7 kB 965 October 14, 2012
One-step equations – Multiply and divide – Decimals 573.5 kB 678 October 14, 2012
One-step equations – Multiply and divide – Fractions 631.3 kB 582 October 14, 2012
One-step equations – Combined – Integers 568 kB 1734 October 14, 2012
One-step equations – Combined – Decimals 573.1 kB 643 October 14, 2012
One-step equations – Combined – Fractions 646.9 kB 788 October 14, 2012


One-step equations knowledge test