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 8480 October 13, 2012
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 5281 October 13, 2012
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 5768 October 13, 2012
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 3120 October 13, 2012
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 2169 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 1297 October 13, 2012
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 1127 October 13, 2012
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 1327 October 13, 2012
One-step equations – Addition and subtraction of Decimals – hard 555 kB 781 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 709 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 1501 October 13, 2012
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 1481 October 13, 2012
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 1306 October 13, 2012
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 789 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 762 October 13, 2012
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 3480 October 13, 2012
One-step equations – Multiply and divide – Integers – easy 542.2 kB 2684 October 13, 2012
One-step equations – Multiply and divide – Integers – medium 541 kB 2800 October 13, 2012
One-step equations – Multiply and divide – Integers – hard 544.8 kB 1348 October 13, 2012
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 850 October 13, 2012
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 812 October 13, 2012
One-step equations – Multiply and divide – Decimals – easy 557 kB 871 October 13, 2012
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 751 October 13, 2012
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 575 October 13, 2012
One-step equations – Multiply and divide – Decimals – very hard 571 kB 448 October 13, 2012
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 1083 October 13, 2012
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 1065 October 13, 2012
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 842 October 13, 2012
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 543 October 13, 2012
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 552 October 13, 2012
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 2424 October 13, 2012
One-step equations – Combined – Integers – easy 540.8 kB 2523 October 13, 2012
One-step equations – Combined – Integers – medium 542.5 kB 2970 October 13, 2012
One-step equations – Combined – Integers – hard 544 kB 1582 October 13, 2012
One-step equations – Combined – Integers – very hard 547.6 kB 1002 October 13, 2012
One-step equations – Combined – Decimals – very easy 550.8 kB 634 October 13, 2012
One-step equations – Combined – Decimals – easy 556.4 kB 701 October 13, 2012
One-step equations – Combined – Decimals – medium 553.9 kB 705 October 13, 2012
One-step equations – Combined – Decimals – hard 550.5 kB 498 October 13, 2012
One-step equations – Combined – Decimals – very hard 551.4 kB 430 October 13, 2012
One-step equations – Combined – Fractions – very easy 558.7 kB 820 October 13, 2012
One-step equations – Combined – Fractions – easy 562.4 kB 936 October 13, 2012
One-step equations – Combined – Fractions – medium 572.1 kB 825 October 13, 2012
One-step equations – Combined – Fractions – hard 587.6 kB 589 October 13, 2012
One-step equations – Combined – Fractions – very hard 596.1 kB 607 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 1784 October 14, 2012
One-step equations – Addition and subtraction – Decimals 573.4 kB 660 October 14, 2012
One-step equations – Addition and subtraction – Fractions 657.5 kB 704 October 14, 2012
One-step equations – Multiply and divide – Integers 567.7 kB 1167 October 14, 2012
One-step equations – Multiply and divide – Decimals 573.5 kB 812 October 14, 2012
One-step equations – Multiply and divide – Fractions 631.3 kB 703 October 14, 2012
One-step equations – Combined – Integers 568 kB 2096 October 14, 2012
One-step equations – Combined – Decimals 573.1 kB 778 October 14, 2012
One-step equations – Combined – Fractions 646.9 kB 948 October 14, 2012


One-step equations knowledge test