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 8153 October 13, 2012
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 5057 October 13, 2012
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 5513 October 13, 2012
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 2992 October 13, 2012
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 2113 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 1237 October 13, 2012
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 1061 October 13, 2012
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 1259 October 13, 2012
One-step equations – Addition and subtraction of Decimals – hard 555 kB 755 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 689 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 1450 October 13, 2012
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 1402 October 13, 2012
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 1212 October 13, 2012
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 759 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 735 October 13, 2012
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 3314 October 13, 2012
One-step equations – Multiply and divide – Integers – easy 542.2 kB 2571 October 13, 2012
One-step equations – Multiply and divide – Integers – medium 541 kB 2653 October 13, 2012
One-step equations – Multiply and divide – Integers – hard 544.8 kB 1298 October 13, 2012
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 780 October 13, 2012
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 762 October 13, 2012
One-step equations – Multiply and divide – Decimals – easy 557 kB 847 October 13, 2012
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 717 October 13, 2012
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 526 October 13, 2012
One-step equations – Multiply and divide – Decimals – very hard 571 kB 436 October 13, 2012
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 1041 October 13, 2012
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 979 October 13, 2012
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 805 October 13, 2012
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 500 October 13, 2012
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 531 October 13, 2012
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 2313 October 13, 2012
One-step equations – Combined – Integers – easy 540.8 kB 2371 October 13, 2012
One-step equations – Combined – Integers – medium 542.5 kB 2854 October 13, 2012
One-step equations – Combined – Integers – hard 544 kB 1512 October 13, 2012
One-step equations – Combined – Integers – very hard 547.6 kB 929 October 13, 2012
One-step equations – Combined – Decimals – very easy 550.8 kB 583 October 13, 2012
One-step equations – Combined – Decimals – easy 556.4 kB 679 October 13, 2012
One-step equations – Combined – Decimals – medium 553.9 kB 638 October 13, 2012
One-step equations – Combined – Decimals – hard 550.5 kB 483 October 13, 2012
One-step equations – Combined – Decimals – very hard 551.4 kB 415 October 13, 2012
One-step equations – Combined – Fractions – very easy 558.7 kB 766 October 13, 2012
One-step equations – Combined – Fractions – easy 562.4 kB 900 October 13, 2012
One-step equations – Combined – Fractions – medium 572.1 kB 768 October 13, 2012
One-step equations – Combined – Fractions – hard 587.6 kB 544 October 13, 2012
One-step equations – Combined – Fractions – very hard 596.1 kB 586 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 1715 October 14, 2012
One-step equations – Addition and subtraction – Decimals 573.4 kB 611 October 14, 2012
One-step equations – Addition and subtraction – Fractions 657.5 kB 687 October 14, 2012
One-step equations – Multiply and divide – Integers 567.7 kB 1114 October 14, 2012
One-step equations – Multiply and divide – Decimals 573.5 kB 795 October 14, 2012
One-step equations – Multiply and divide – Fractions 631.3 kB 687 October 14, 2012
One-step equations – Combined – Integers 568 kB 2002 October 14, 2012
One-step equations – Combined – Decimals 573.1 kB 752 October 14, 2012
One-step equations – Combined – Fractions 646.9 kB 921 October 14, 2012


One-step equations knowledge test