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 24044 October 13, 2012
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 14840 October 13, 2012
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 15435 October 13, 2012
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 7922 October 13, 2012
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 5558 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 3244 October 13, 2012
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 2897 October 13, 2012
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 3261 October 13, 2012
One-step equations – Addition and subtraction of Decimals – hard 555 kB 2021 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 1662 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 3821 October 13, 2012
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 3729 October 13, 2012
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 3377 October 13, 2012
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 1912 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 1737 October 13, 2012
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 10839 October 13, 2012
One-step equations – Multiply and divide – Integers – easy 542.2 kB 8004 October 13, 2012
One-step equations – Multiply and divide – Integers – medium 541 kB 8016 October 13, 2012
One-step equations – Multiply and divide – Integers – hard 544.8 kB 3707 October 13, 2012
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 2210 October 13, 2012
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 2063 October 13, 2012
One-step equations – Multiply and divide – Decimals – easy 557 kB 2237 October 13, 2012
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 1814 October 13, 2012
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 1328 October 13, 2012
One-step equations – Multiply and divide – Decimals – very hard 571 kB 1078 October 13, 2012
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 2799 October 13, 2012
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 2805 October 13, 2012
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 2088 October 13, 2012
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 1368 October 13, 2012
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 1233 October 13, 2012
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 6941 October 13, 2012
One-step equations – Combined – Integers – easy 540.8 kB 7055 October 13, 2012
One-step equations – Combined – Integers – medium 542.5 kB 8132 October 13, 2012
One-step equations – Combined – Integers – hard 544 kB 3876 October 13, 2012
One-step equations – Combined – Integers – very hard 547.6 kB 2488 October 13, 2012
One-step equations – Combined – Decimals – very easy 550.8 kB 1549 October 13, 2012
One-step equations – Combined – Decimals – easy 556.4 kB 1746 October 13, 2012
One-step equations – Combined – Decimals – medium 553.9 kB 1669 October 13, 2012
One-step equations – Combined – Decimals – hard 550.5 kB 1144 October 13, 2012
One-step equations – Combined – Decimals – very hard 551.4 kB 1044 October 13, 2012
One-step equations – Combined – Fractions – very easy 558.7 kB 1993 October 13, 2012
One-step equations – Combined – Fractions – easy 562.4 kB 2195 October 13, 2012
One-step equations – Combined – Fractions – medium 572.1 kB 1957 October 13, 2012
One-step equations – Combined – Fractions – hard 587.6 kB 1314 October 13, 2012
One-step equations – Combined – Fractions – very hard 596.1 kB 1304 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 4147 October 14, 2012
One-step equations – Addition and subtraction – Decimals 573.4 kB 1598 October 14, 2012
One-step equations – Addition and subtraction – Fractions 657.5 kB 1689 October 14, 2012
One-step equations – Multiply and divide – Integers 567.7 kB 2969 October 14, 2012
One-step equations – Multiply and divide – Decimals 573.5 kB 1717 October 14, 2012
One-step equations – Multiply and divide – Fractions 631.3 kB 1669 October 14, 2012
One-step equations – Combined – Integers 568 kB 5863 October 14, 2012
One-step equations – Combined – Decimals 573.1 kB 1866 October 14, 2012
One-step equations – Combined – Fractions 646.9 kB 2230 October 14, 2012


One-step equations knowledge test