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 9727 October 13, 2012
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 6028 October 13, 2012
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 6514 October 13, 2012
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 3523 October 13, 2012
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 2409 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 1444 October 13, 2012
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 1266 October 13, 2012
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 1477 October 13, 2012
One-step equations – Addition and subtraction of Decimals – hard 555 kB 876 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 774 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 1685 October 13, 2012
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 1673 October 13, 2012
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 1483 October 13, 2012
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 876 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 845 October 13, 2012
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 3977 October 13, 2012
One-step equations – Multiply and divide – Integers – easy 542.2 kB 3080 October 13, 2012
One-step equations – Multiply and divide – Integers – medium 541 kB 3193 October 13, 2012
One-step equations – Multiply and divide – Integers – hard 544.8 kB 1519 October 13, 2012
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 944 October 13, 2012
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 910 October 13, 2012
One-step equations – Multiply and divide – Decimals – easy 557 kB 979 October 13, 2012
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 846 October 13, 2012
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 638 October 13, 2012
One-step equations – Multiply and divide – Decimals – very hard 571 kB 500 October 13, 2012
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 1214 October 13, 2012
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 1237 October 13, 2012
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 970 October 13, 2012
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 617 October 13, 2012
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 614 October 13, 2012
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 2775 October 13, 2012
One-step equations – Combined – Integers – easy 540.8 kB 2889 October 13, 2012
One-step equations – Combined – Integers – medium 542.5 kB 3419 October 13, 2012
One-step equations – Combined – Integers – hard 544 kB 1754 October 13, 2012
One-step equations – Combined – Integers – very hard 547.6 kB 1110 October 13, 2012
One-step equations – Combined – Decimals – very easy 550.8 kB 712 October 13, 2012
One-step equations – Combined – Decimals – easy 556.4 kB 779 October 13, 2012
One-step equations – Combined – Decimals – medium 553.9 kB 808 October 13, 2012
One-step equations – Combined – Decimals – hard 550.5 kB 556 October 13, 2012
One-step equations – Combined – Decimals – very hard 551.4 kB 477 October 13, 2012
One-step equations – Combined – Fractions – very easy 558.7 kB 916 October 13, 2012
One-step equations – Combined – Fractions – easy 562.4 kB 1046 October 13, 2012
One-step equations – Combined – Fractions – medium 572.1 kB 926 October 13, 2012
One-step equations – Combined – Fractions – hard 587.6 kB 651 October 13, 2012
One-step equations – Combined – Fractions – very hard 596.1 kB 675 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 1966 October 14, 2012
One-step equations – Addition and subtraction – Decimals 573.4 kB 761 October 14, 2012
One-step equations – Addition and subtraction – Fractions 657.5 kB 784 October 14, 2012
One-step equations – Multiply and divide – Integers 567.7 kB 1278 October 14, 2012
One-step equations – Multiply and divide – Decimals 573.5 kB 904 October 14, 2012
One-step equations – Multiply and divide – Fractions 631.3 kB 788 October 14, 2012
One-step equations – Combined – Integers 568 kB 2370 October 14, 2012
One-step equations – Combined – Decimals 573.1 kB 865 October 14, 2012
One-step equations – Combined – Fractions 646.9 kB 1055 October 14, 2012


One-step equations knowledge test