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 25192 October 13, 2012
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 15573 October 13, 2012
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 16180 October 13, 2012
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 8301 October 13, 2012
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 5840 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 3402 October 13, 2012
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 3041 October 13, 2012
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 3424 October 13, 2012
One-step equations – Addition and subtraction of Decimals – hard 555 kB 2148 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 1770 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 4004 October 13, 2012
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 3891 October 13, 2012
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 3539 October 13, 2012
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 2048 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 1859 October 13, 2012
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 11385 October 13, 2012
One-step equations – Multiply and divide – Integers – easy 542.2 kB 8464 October 13, 2012
One-step equations – Multiply and divide – Integers – medium 541 kB 8429 October 13, 2012
One-step equations – Multiply and divide – Integers – hard 544.8 kB 3944 October 13, 2012
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 2374 October 13, 2012
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 2191 October 13, 2012
One-step equations – Multiply and divide – Decimals – easy 557 kB 2355 October 13, 2012
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 1911 October 13, 2012
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 1421 October 13, 2012
One-step equations – Multiply and divide – Decimals – very hard 571 kB 1170 October 13, 2012
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 2957 October 13, 2012
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 2962 October 13, 2012
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 2227 October 13, 2012
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 1483 October 13, 2012
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 1325 October 13, 2012
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 7265 October 13, 2012
One-step equations – Combined – Integers – easy 540.8 kB 7373 October 13, 2012
One-step equations – Combined – Integers – medium 542.5 kB 8504 October 13, 2012
One-step equations – Combined – Integers – hard 544 kB 4075 October 13, 2012
One-step equations – Combined – Integers – very hard 547.6 kB 2634 October 13, 2012
One-step equations – Combined – Decimals – very easy 550.8 kB 1655 October 13, 2012
One-step equations – Combined – Decimals – easy 556.4 kB 1852 October 13, 2012
One-step equations – Combined – Decimals – medium 553.9 kB 1774 October 13, 2012
One-step equations – Combined – Decimals – hard 550.5 kB 1235 October 13, 2012
One-step equations – Combined – Decimals – very hard 551.4 kB 1128 October 13, 2012
One-step equations – Combined – Fractions – very easy 558.7 kB 2108 October 13, 2012
One-step equations – Combined – Fractions – easy 562.4 kB 2315 October 13, 2012
One-step equations – Combined – Fractions – medium 572.1 kB 2083 October 13, 2012
One-step equations – Combined – Fractions – hard 587.6 kB 1409 October 13, 2012
One-step equations – Combined – Fractions – very hard 596.1 kB 1407 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 4349 October 14, 2012
One-step equations – Addition and subtraction – Decimals 573.4 kB 1723 October 14, 2012
One-step equations – Addition and subtraction – Fractions 657.5 kB 1780 October 14, 2012
One-step equations – Multiply and divide – Integers 567.7 kB 3127 October 14, 2012
One-step equations – Multiply and divide – Decimals 573.5 kB 1829 October 14, 2012
One-step equations – Multiply and divide – Fractions 631.3 kB 1777 October 14, 2012
One-step equations – Combined – Integers 568 kB 6108 October 14, 2012
One-step equations – Combined – Decimals 573.1 kB 1969 October 14, 2012
One-step equations – Combined – Fractions 646.9 kB 2356 October 14, 2012


One-step equations knowledge test