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 7327 October 13, 2012
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 4564 October 13, 2012
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 4909 October 13, 2012
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 2693 October 13, 2012
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 1883 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 1113 October 13, 2012
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 976 October 13, 2012
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 1131 October 13, 2012
One-step equations – Addition and subtraction of Decimals – hard 555 kB 686 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 633 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 1314 October 13, 2012
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 1270 October 13, 2012
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 1099 October 13, 2012
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 685 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 678 October 13, 2012
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 2982 October 13, 2012
One-step equations – Multiply and divide – Integers – easy 542.2 kB 2308 October 13, 2012
One-step equations – Multiply and divide – Integers – medium 541 kB 2343 October 13, 2012
One-step equations – Multiply and divide – Integers – hard 544.8 kB 1128 October 13, 2012
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 708 October 13, 2012
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 694 October 13, 2012
One-step equations – Multiply and divide – Decimals – easy 557 kB 762 October 13, 2012
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 638 October 13, 2012
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 491 October 13, 2012
One-step equations – Multiply and divide – Decimals – very hard 571 kB 400 October 13, 2012
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 909 October 13, 2012
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 883 October 13, 2012
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 718 October 13, 2012
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 460 October 13, 2012
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 484 October 13, 2012
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 2073 October 13, 2012
One-step equations – Combined – Integers – easy 540.8 kB 2133 October 13, 2012
One-step equations – Combined – Integers – medium 542.5 kB 2481 October 13, 2012
One-step equations – Combined – Integers – hard 544 kB 1311 October 13, 2012
One-step equations – Combined – Integers – very hard 547.6 kB 822 October 13, 2012
One-step equations – Combined – Decimals – very easy 550.8 kB 540 October 13, 2012
One-step equations – Combined – Decimals – easy 556.4 kB 618 October 13, 2012
One-step equations – Combined – Decimals – medium 553.9 kB 581 October 13, 2012
One-step equations – Combined – Decimals – hard 550.5 kB 434 October 13, 2012
One-step equations – Combined – Decimals – very hard 551.4 kB 385 October 13, 2012
One-step equations – Combined – Fractions – very easy 558.7 kB 695 October 13, 2012
One-step equations – Combined – Fractions – easy 562.4 kB 798 October 13, 2012
One-step equations – Combined – Fractions – medium 572.1 kB 691 October 13, 2012
One-step equations – Combined – Fractions – hard 587.6 kB 506 October 13, 2012
One-step equations – Combined – Fractions – very hard 596.1 kB 518 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 1562 October 14, 2012
One-step equations – Addition and subtraction – Decimals 573.4 kB 561 October 14, 2012
One-step equations – Addition and subtraction – Fractions 657.5 kB 621 October 14, 2012
One-step equations – Multiply and divide – Integers 567.7 kB 1003 October 14, 2012
One-step equations – Multiply and divide – Decimals 573.5 kB 733 October 14, 2012
One-step equations – Multiply and divide – Fractions 631.3 kB 616 October 14, 2012
One-step equations – Combined – Integers 568 kB 1814 October 14, 2012
One-step equations – Combined – Decimals 573.1 kB 674 October 14, 2012
One-step equations – Combined – Fractions 646.9 kB 826 October 14, 2012


One-step equations knowledge test