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 27728 October 13, 2012
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 17276 October 13, 2012
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 17900 October 13, 2012
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 9233 October 13, 2012
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 6598 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 3801 October 13, 2012
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 3378 October 13, 2012
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 3786 October 13, 2012
One-step equations – Addition and subtraction of Decimals – hard 555 kB 2502 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 2016 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 4440 October 13, 2012
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 4342 October 13, 2012
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 3989 October 13, 2012
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 2365 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 2126 October 13, 2012
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 12749 October 13, 2012
One-step equations – Multiply and divide – Integers – easy 542.2 kB 9567 October 13, 2012
One-step equations – Multiply and divide – Integers – medium 541 kB 9546 October 13, 2012
One-step equations – Multiply and divide – Integers – hard 544.8 kB 4544 October 13, 2012
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 2772 October 13, 2012
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 2526 October 13, 2012
One-step equations – Multiply and divide – Decimals – easy 557 kB 2721 October 13, 2012
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 2158 October 13, 2012
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 1637 October 13, 2012
One-step equations – Multiply and divide – Decimals – very hard 571 kB 1397 October 13, 2012
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 3379 October 13, 2012
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 3373 October 13, 2012
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 2519 October 13, 2012
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 1706 October 13, 2012
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 1530 October 13, 2012
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 8026 October 13, 2012
One-step equations – Combined – Integers – easy 540.8 kB 8128 October 13, 2012
One-step equations – Combined – Integers – medium 542.5 kB 9417 October 13, 2012
One-step equations – Combined – Integers – hard 544 kB 4565 October 13, 2012
One-step equations – Combined – Integers – very hard 547.6 kB 3057 October 13, 2012
One-step equations – Combined – Decimals – very easy 550.8 kB 1929 October 13, 2012
One-step equations – Combined – Decimals – easy 556.4 kB 2095 October 13, 2012
One-step equations – Combined – Decimals – medium 553.9 kB 1993 October 13, 2012
One-step equations – Combined – Decimals – hard 550.5 kB 1424 October 13, 2012
One-step equations – Combined – Decimals – very hard 551.4 kB 1321 October 13, 2012
One-step equations – Combined – Fractions – very easy 558.7 kB 2410 October 13, 2012
One-step equations – Combined – Fractions – easy 562.4 kB 2607 October 13, 2012
One-step equations – Combined – Fractions – medium 572.1 kB 2409 October 13, 2012
One-step equations – Combined – Fractions – hard 587.6 kB 1614 October 13, 2012
One-step equations – Combined – Fractions – very hard 596.1 kB 1617 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 4957 October 14, 2012
One-step equations – Addition and subtraction – Decimals 573.4 kB 1991 October 14, 2012
One-step equations – Addition and subtraction – Fractions 657.5 kB 2034 October 14, 2012
One-step equations – Multiply and divide – Integers 567.7 kB 3567 October 14, 2012
One-step equations – Multiply and divide – Decimals 573.5 kB 2089 October 14, 2012
One-step equations – Multiply and divide – Fractions 631.3 kB 2038 October 14, 2012
One-step equations – Combined – Integers 568 kB 6812 October 14, 2012
One-step equations – Combined – Decimals 573.1 kB 2276 October 14, 2012
One-step equations – Combined – Fractions 646.9 kB 2682 October 14, 2012


One-step equations knowledge test