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 15105 October 13, 2012
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 9463 October 13, 2012
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 10081 October 13, 2012
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 5370 October 13, 2012
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 3674 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 2177 October 13, 2012
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 1942 October 13, 2012
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 2236 October 13, 2012
One-step equations – Addition and subtraction of Decimals – hard 555 kB 1371 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 1190 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 2625 October 13, 2012
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 2560 October 13, 2012
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 2290 October 13, 2012
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 1314 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 1251 October 13, 2012
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 6820 October 13, 2012
One-step equations – Multiply and divide – Integers – easy 542.2 kB 5119 October 13, 2012
One-step equations – Multiply and divide – Integers – medium 541 kB 5225 October 13, 2012
One-step equations – Multiply and divide – Integers – hard 544.8 kB 2456 October 13, 2012
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 1525 October 13, 2012
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 1407 October 13, 2012
One-step equations – Multiply and divide – Decimals – easy 557 kB 1560 October 13, 2012
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 1308 October 13, 2012
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 974 October 13, 2012
One-step equations – Multiply and divide – Decimals – very hard 571 kB 789 October 13, 2012
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 1904 October 13, 2012
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 1939 October 13, 2012
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 1506 October 13, 2012
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 979 October 13, 2012
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 923 October 13, 2012
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 4551 October 13, 2012
One-step equations – Combined – Integers – easy 540.8 kB 4672 October 13, 2012
One-step equations – Combined – Integers – medium 542.5 kB 5427 October 13, 2012
One-step equations – Combined – Integers – hard 544 kB 2703 October 13, 2012
One-step equations – Combined – Integers – very hard 547.6 kB 1694 October 13, 2012
One-step equations – Combined – Decimals – very easy 550.8 kB 1094 October 13, 2012
One-step equations – Combined – Decimals – easy 556.4 kB 1219 October 13, 2012
One-step equations – Combined – Decimals – medium 553.9 kB 1205 October 13, 2012
One-step equations – Combined – Decimals – hard 550.5 kB 835 October 13, 2012
One-step equations – Combined – Decimals – very hard 551.4 kB 734 October 13, 2012
One-step equations – Combined – Fractions – very easy 558.7 kB 1394 October 13, 2012
One-step equations – Combined – Fractions – easy 562.4 kB 1554 October 13, 2012
One-step equations – Combined – Fractions – medium 572.1 kB 1368 October 13, 2012
One-step equations – Combined – Fractions – hard 587.6 kB 955 October 13, 2012
One-step equations – Combined – Fractions – very hard 596.1 kB 980 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 2886 October 14, 2012
One-step equations – Addition and subtraction – Decimals 573.4 kB 1138 October 14, 2012
One-step equations – Addition and subtraction – Fractions 657.5 kB 1213 October 14, 2012
One-step equations – Multiply and divide – Integers 567.7 kB 2098 October 14, 2012
One-step equations – Multiply and divide – Decimals 573.5 kB 1302 October 14, 2012
One-step equations – Multiply and divide – Fractions 631.3 kB 1167 October 14, 2012
One-step equations – Combined – Integers 568 kB 3949 October 14, 2012
One-step equations – Combined – Decimals 573.1 kB 1286 October 14, 2012
One-step equations – Combined – Fractions 646.9 kB 1581 October 14, 2012


One-step equations knowledge test