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 7150 October 13, 2012
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 4454 October 13, 2012
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 4777 October 13, 2012
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 2599 October 13, 2012
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 1820 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 1095 October 13, 2012
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 954 October 13, 2012
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 1101 October 13, 2012
One-step equations – Addition and subtraction of Decimals – hard 555 kB 672 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 605 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 1278 October 13, 2012
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 1240 October 13, 2012
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 1073 October 13, 2012
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 669 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 662 October 13, 2012
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 2922 October 13, 2012
One-step equations – Multiply and divide – Integers – easy 542.2 kB 2238 October 13, 2012
One-step equations – Multiply and divide – Integers – medium 541 kB 2273 October 13, 2012
One-step equations – Multiply and divide – Integers – hard 544.8 kB 1091 October 13, 2012
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 689 October 13, 2012
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 677 October 13, 2012
One-step equations – Multiply and divide – Decimals – easy 557 kB 742 October 13, 2012
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 630 October 13, 2012
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 483 October 13, 2012
One-step equations – Multiply and divide – Decimals – very hard 571 kB 393 October 13, 2012
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 875 October 13, 2012
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 860 October 13, 2012
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 698 October 13, 2012
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 455 October 13, 2012
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 456 October 13, 2012
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 2039 October 13, 2012
One-step equations – Combined – Integers – easy 540.8 kB 2084 October 13, 2012
One-step equations – Combined – Integers – medium 542.5 kB 2396 October 13, 2012
One-step equations – Combined – Integers – hard 544 kB 1249 October 13, 2012
One-step equations – Combined – Integers – very hard 547.6 kB 794 October 13, 2012
One-step equations – Combined – Decimals – very easy 550.8 kB 531 October 13, 2012
One-step equations – Combined – Decimals – easy 556.4 kB 602 October 13, 2012
One-step equations – Combined – Decimals – medium 553.9 kB 569 October 13, 2012
One-step equations – Combined – Decimals – hard 550.5 kB 425 October 13, 2012
One-step equations – Combined – Decimals – very hard 551.4 kB 379 October 13, 2012
One-step equations – Combined – Fractions – very easy 558.7 kB 686 October 13, 2012
One-step equations – Combined – Fractions – easy 562.4 kB 769 October 13, 2012
One-step equations – Combined – Fractions – medium 572.1 kB 673 October 13, 2012
One-step equations – Combined – Fractions – hard 587.6 kB 492 October 13, 2012
One-step equations – Combined – Fractions – very hard 596.1 kB 490 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 1528 October 14, 2012
One-step equations – Addition and subtraction – Decimals 573.4 kB 547 October 14, 2012
One-step equations – Addition and subtraction – Fractions 657.5 kB 608 October 14, 2012
One-step equations – Multiply and divide – Integers 567.7 kB 984 October 14, 2012
One-step equations – Multiply and divide – Decimals 573.5 kB 702 October 14, 2012
One-step equations – Multiply and divide – Fractions 631.3 kB 598 October 14, 2012
One-step equations – Combined – Integers 568 kB 1758 October 14, 2012
One-step equations – Combined – Decimals 573.1 kB 659 October 14, 2012
One-step equations – Combined – Fractions 646.9 kB 808 October 14, 2012


One-step equations knowledge test