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 30214 October 13, 2012
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 18994 October 13, 2012
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 19589 October 13, 2012
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 10141 October 13, 2012
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 7239 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 4277 October 13, 2012
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 3837 October 13, 2012
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 4229 October 13, 2012
One-step equations – Addition and subtraction of Decimals – hard 555 kB 2905 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 2331 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 4918 October 13, 2012
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 4765 October 13, 2012
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 4403 October 13, 2012
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 2708 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 2404 October 13, 2012
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 14227 October 13, 2012
One-step equations – Multiply and divide – Integers – easy 542.2 kB 10735 October 13, 2012
One-step equations – Multiply and divide – Integers – medium 541 kB 10597 October 13, 2012
One-step equations – Multiply and divide – Integers – hard 544.8 kB 5103 October 13, 2012
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 3188 October 13, 2012
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 2934 October 13, 2012
One-step equations – Multiply and divide – Decimals – easy 557 kB 3108 October 13, 2012
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 2483 October 13, 2012
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 1908 October 13, 2012
One-step equations – Multiply and divide – Decimals – very hard 571 kB 1697 October 13, 2012
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 3802 October 13, 2012
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 3762 October 13, 2012
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 2840 October 13, 2012
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 2034 October 13, 2012
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 1834 October 13, 2012
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 8942 October 13, 2012
One-step equations – Combined – Integers – easy 540.8 kB 8997 October 13, 2012
One-step equations – Combined – Integers – medium 542.5 kB 10286 October 13, 2012
One-step equations – Combined – Integers – hard 544 kB 5027 October 13, 2012
One-step equations – Combined – Integers – very hard 547.6 kB 3480 October 13, 2012
One-step equations – Combined – Decimals – very easy 550.8 kB 2296 October 13, 2012
One-step equations – Combined – Decimals – easy 556.4 kB 2447 October 13, 2012
One-step equations – Combined – Decimals – medium 553.9 kB 2286 October 13, 2012
One-step equations – Combined – Decimals – hard 550.5 kB 1691 October 13, 2012
One-step equations – Combined – Decimals – very hard 551.4 kB 1576 October 13, 2012
One-step equations – Combined – Fractions – very easy 558.7 kB 2763 October 13, 2012
One-step equations – Combined – Fractions – easy 562.4 kB 2928 October 13, 2012
One-step equations – Combined – Fractions – medium 572.1 kB 2697 October 13, 2012
One-step equations – Combined – Fractions – hard 587.6 kB 1878 October 13, 2012
One-step equations – Combined – Fractions – very hard 596.1 kB 1855 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 5494 October 14, 2012
One-step equations – Addition and subtraction – Decimals 573.4 kB 2292 October 14, 2012
One-step equations – Addition and subtraction – Fractions 657.5 kB 2338 October 14, 2012
One-step equations – Multiply and divide – Integers 567.7 kB 3992 October 14, 2012
One-step equations – Multiply and divide – Decimals 573.5 kB 2404 October 14, 2012
One-step equations – Multiply and divide – Fractions 631.3 kB 2315 October 14, 2012
One-step equations – Combined – Integers 568 kB 7493 October 14, 2012
One-step equations – Combined – Decimals 573.1 kB 2657 October 14, 2012
One-step equations – Combined – Fractions 646.9 kB 3046 October 14, 2012

One-step equations knowledge test