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 7727 October 13, 2012
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 4823 October 13, 2012
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 5207 October 13, 2012
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 2832 October 13, 2012
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 1973 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 1159 October 13, 2012
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 1008 October 13, 2012
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 1178 October 13, 2012
One-step equations – Addition and subtraction of Decimals – hard 555 kB 720 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 657 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 1358 October 13, 2012
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 1313 October 13, 2012
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 1143 October 13, 2012
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 716 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 707 October 13, 2012
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 3127 October 13, 2012
One-step equations – Multiply and divide – Integers – easy 542.2 kB 2420 October 13, 2012
One-step equations – Multiply and divide – Integers – medium 541 kB 2484 October 13, 2012
One-step equations – Multiply and divide – Integers – hard 544.8 kB 1220 October 13, 2012
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 737 October 13, 2012
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 720 October 13, 2012
One-step equations – Multiply and divide – Decimals – easy 557 kB 804 October 13, 2012
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 674 October 13, 2012
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 505 October 13, 2012
One-step equations – Multiply and divide – Decimals – very hard 571 kB 414 October 13, 2012
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 954 October 13, 2012
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 922 October 13, 2012
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 754 October 13, 2012
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 479 October 13, 2012
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 505 October 13, 2012
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 2204 October 13, 2012
One-step equations – Combined – Integers – easy 540.8 kB 2244 October 13, 2012
One-step equations – Combined – Integers – medium 542.5 kB 2653 October 13, 2012
One-step equations – Combined – Integers – hard 544 kB 1409 October 13, 2012
One-step equations – Combined – Integers – very hard 547.6 kB 881 October 13, 2012
One-step equations – Combined – Decimals – very easy 550.8 kB 559 October 13, 2012
One-step equations – Combined – Decimals – easy 556.4 kB 650 October 13, 2012
One-step equations – Combined – Decimals – medium 553.9 kB 605 October 13, 2012
One-step equations – Combined – Decimals – hard 550.5 kB 462 October 13, 2012
One-step equations – Combined – Decimals – very hard 551.4 kB 403 October 13, 2012
One-step equations – Combined – Fractions – very easy 558.7 kB 730 October 13, 2012
One-step equations – Combined – Fractions – easy 562.4 kB 846 October 13, 2012
One-step equations – Combined – Fractions – medium 572.1 kB 727 October 13, 2012
One-step equations – Combined – Fractions – hard 587.6 kB 528 October 13, 2012
One-step equations – Combined – Fractions – very hard 596.1 kB 551 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 1639 October 14, 2012
One-step equations – Addition and subtraction – Decimals 573.4 kB 589 October 14, 2012
One-step equations – Addition and subtraction – Fractions 657.5 kB 656 October 14, 2012
One-step equations – Multiply and divide – Integers 567.7 kB 1060 October 14, 2012
One-step equations – Multiply and divide – Decimals 573.5 kB 766 October 14, 2012
One-step equations – Multiply and divide – Fractions 631.3 kB 647 October 14, 2012
One-step equations – Combined – Integers 568 kB 1899 October 14, 2012
One-step equations – Combined – Decimals 573.1 kB 708 October 14, 2012
One-step equations – Combined – Fractions 646.9 kB 875 October 14, 2012


One-step equations knowledge test