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 15267 October 13, 2012
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 9571 October 13, 2012
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 10171 October 13, 2012
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 5430 October 13, 2012
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 3736 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 2209 October 13, 2012
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 1961 October 13, 2012
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 2269 October 13, 2012
One-step equations – Addition and subtraction of Decimals – hard 555 kB 1387 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 1218 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 2651 October 13, 2012
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 2588 October 13, 2012
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 2327 October 13, 2012
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 1329 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 1270 October 13, 2012
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 6888 October 13, 2012
One-step equations – Multiply and divide – Integers – easy 542.2 kB 5173 October 13, 2012
One-step equations – Multiply and divide – Integers – medium 541 kB 5292 October 13, 2012
One-step equations – Multiply and divide – Integers – hard 544.8 kB 2481 October 13, 2012
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 1551 October 13, 2012
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 1424 October 13, 2012
One-step equations – Multiply and divide – Decimals – easy 557 kB 1571 October 13, 2012
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 1319 October 13, 2012
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 987 October 13, 2012
One-step equations – Multiply and divide – Decimals – very hard 571 kB 797 October 13, 2012
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 1920 October 13, 2012
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 1962 October 13, 2012
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 1522 October 13, 2012
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 992 October 13, 2012
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 935 October 13, 2012
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 4595 October 13, 2012
One-step equations – Combined – Integers – easy 540.8 kB 4712 October 13, 2012
One-step equations – Combined – Integers – medium 542.5 kB 5476 October 13, 2012
One-step equations – Combined – Integers – hard 544 kB 2730 October 13, 2012
One-step equations – Combined – Integers – very hard 547.6 kB 1715 October 13, 2012
One-step equations – Combined – Decimals – very easy 550.8 kB 1104 October 13, 2012
One-step equations – Combined – Decimals – easy 556.4 kB 1240 October 13, 2012
One-step equations – Combined – Decimals – medium 553.9 kB 1218 October 13, 2012
One-step equations – Combined – Decimals – hard 550.5 kB 849 October 13, 2012
One-step equations – Combined – Decimals – very hard 551.4 kB 749 October 13, 2012
One-step equations – Combined – Fractions – very easy 558.7 kB 1410 October 13, 2012
One-step equations – Combined – Fractions – easy 562.4 kB 1577 October 13, 2012
One-step equations – Combined – Fractions – medium 572.1 kB 1387 October 13, 2012
One-step equations – Combined – Fractions – hard 587.6 kB 968 October 13, 2012
One-step equations – Combined – Fractions – very hard 596.1 kB 992 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 2935 October 14, 2012
One-step equations – Addition and subtraction – Decimals 573.4 kB 1153 October 14, 2012
One-step equations – Addition and subtraction – Fractions 657.5 kB 1226 October 14, 2012
One-step equations – Multiply and divide – Integers 567.7 kB 2139 October 14, 2012
One-step equations – Multiply and divide – Decimals 573.5 kB 1319 October 14, 2012
One-step equations – Multiply and divide – Fractions 631.3 kB 1184 October 14, 2012
One-step equations – Combined – Integers 568 kB 4007 October 14, 2012
One-step equations – Combined – Decimals 573.1 kB 1302 October 14, 2012
One-step equations – Combined – Fractions 646.9 kB 1596 October 14, 2012


One-step equations knowledge test