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 21526 October 13, 2012
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 13179 October 13, 2012
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 13865 October 13, 2012
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 7230 October 13, 2012
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 5084 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 2913 October 13, 2012
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 2625 October 13, 2012
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 2999 October 13, 2012
One-step equations – Addition and subtraction of Decimals – hard 555 kB 1838 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 1531 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 3479 October 13, 2012
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 3431 October 13, 2012
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 3069 October 13, 2012
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 1754 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 1616 October 13, 2012
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 9517 October 13, 2012
One-step equations – Multiply and divide – Integers – easy 542.2 kB 7079 October 13, 2012
One-step equations – Multiply and divide – Integers – medium 541 kB 7272 October 13, 2012
One-step equations – Multiply and divide – Integers – hard 544.8 kB 3346 October 13, 2012
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 1988 October 13, 2012
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 1850 October 13, 2012
One-step equations – Multiply and divide – Decimals – easy 557 kB 2045 October 13, 2012
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 1667 October 13, 2012
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 1218 October 13, 2012
One-step equations – Multiply and divide – Decimals – very hard 571 kB 983 October 13, 2012
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 2531 October 13, 2012
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 2575 October 13, 2012
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 1932 October 13, 2012
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 1244 October 13, 2012
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 1138 October 13, 2012
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 6204 October 13, 2012
One-step equations – Combined – Integers – easy 540.8 kB 6379 October 13, 2012
One-step equations – Combined – Integers – medium 542.5 kB 7438 October 13, 2012
One-step equations – Combined – Integers – hard 544 kB 3588 October 13, 2012
One-step equations – Combined – Integers – very hard 547.6 kB 2255 October 13, 2012
One-step equations – Combined – Decimals – very easy 550.8 kB 1410 October 13, 2012
One-step equations – Combined – Decimals – easy 556.4 kB 1592 October 13, 2012
One-step equations – Combined – Decimals – medium 553.9 kB 1539 October 13, 2012
One-step equations – Combined – Decimals – hard 550.5 kB 1043 October 13, 2012
One-step equations – Combined – Decimals – very hard 551.4 kB 932 October 13, 2012
One-step equations – Combined – Fractions – very easy 558.7 kB 1825 October 13, 2012
One-step equations – Combined – Fractions – easy 562.4 kB 2023 October 13, 2012
One-step equations – Combined – Fractions – medium 572.1 kB 1802 October 13, 2012
One-step equations – Combined – Fractions – hard 587.6 kB 1196 October 13, 2012
One-step equations – Combined – Fractions – very hard 596.1 kB 1209 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 3783 October 14, 2012
One-step equations – Addition and subtraction – Decimals 573.4 kB 1437 October 14, 2012
One-step equations – Addition and subtraction – Fractions 657.5 kB 1533 October 14, 2012
One-step equations – Multiply and divide – Integers 567.7 kB 2728 October 14, 2012
One-step equations – Multiply and divide – Decimals 573.5 kB 1604 October 14, 2012
One-step equations – Multiply and divide – Fractions 631.3 kB 1518 October 14, 2012
One-step equations – Combined – Integers 568 kB 5200 October 14, 2012
One-step equations – Combined – Decimals 573.1 kB 1687 October 14, 2012
One-step equations – Combined – Fractions 646.9 kB 2059 October 14, 2012


One-step equations knowledge test