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 60049 September 3, 2019
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 34008 September 3, 2019
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 35183 September 3, 2019
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 17618 September 3, 2019
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 12543 September 3, 2019
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 7219 September 3, 2019
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 6258 September 3, 2019
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 6909 September 3, 2019
One-step equations – Addition and subtraction of Decimals – hard 555 kB 4661 September 3, 2019
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 3651 September 3, 2019
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 8435 September 3, 2019
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 7652 September 3, 2019
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 7151 September 3, 2019
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 4238 September 3, 2019
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 4053 September 3, 2019
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 27494 September 3, 2019
One-step equations – Multiply and divide – Integers – easy 542.2 kB 19425 September 3, 2019
One-step equations – Multiply and divide – Integers – medium 541 kB 18556 September 3, 2019
One-step equations – Multiply and divide – Integers – hard 544.8 kB 8831 September 3, 2019
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 5162 September 3, 2019
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 4860 September 3, 2019
One-step equations – Multiply and divide – Decimals – easy 557 kB 4845 September 3, 2019
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 3976 September 3, 2019
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 2929 September 3, 2019
One-step equations – Multiply and divide – Decimals – very hard 571 kB 2910 September 3, 2019
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 6194 September 3, 2019
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 6087 September 3, 2019
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 4680 September 3, 2019
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 3232 September 3, 2019
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 2913 September 3, 2019
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 17364 September 3, 2019
One-step equations – Combined – Integers – easy 540.8 kB 16978 September 3, 2019
One-step equations – Combined – Integers – medium 542.5 kB 19992 September 3, 2019
One-step equations – Combined – Integers – hard 544 kB 8932 September 3, 2019
One-step equations – Combined – Integers – very hard 547.6 kB 6188 September 3, 2019
One-step equations – Combined – Decimals – very easy 550.8 kB 3674 September 3, 2019
One-step equations – Combined – Decimals – easy 556.4 kB 4017 September 3, 2019
One-step equations – Combined – Decimals – medium 553.9 kB 4067 September 3, 2019
One-step equations – Combined – Decimals – hard 550.5 kB 2822 September 3, 2019
One-step equations – Combined – Decimals – very hard 551.4 kB 2524 September 3, 2019
One-step equations – Combined – Fractions – very easy 558.7 kB 4504 September 3, 2019
One-step equations – Combined – Fractions – easy 562.4 kB 4891 September 3, 2019
One-step equations – Combined – Fractions – medium 572.1 kB 4561 September 3, 2019
One-step equations – Combined – Fractions – hard 587.6 kB 3000 September 3, 2019
One-step equations – Combined – Fractions – very hard 596.1 kB 3091 September 3, 2019

One-step equations worksheets for students

Worksheet Name File Size Downloads Upload date
One-step equations – Addition and subtraction – Integers 568.6 kB 10276 September 3, 2019
One-step equations – Addition and subtraction – Decimals 573.4 kB 4892 September 3, 2019
One-step equations – Addition and subtraction – Fractions 657.5 kB 3987 September 3, 2019
One-step equations – Multiply and divide – Integers 567.7 kB 6756 September 3, 2019
One-step equations – Multiply and divide – Decimals 573.5 kB 3843 September 3, 2019
One-step equations – Multiply and divide – Fractions 631.3 kB 3696 September 3, 2019
One-step equations – Combined – Integers 568 kB 12084 September 3, 2019
One-step equations – Combined – Decimals 573.1 kB 4249 September 3, 2019
One-step equations – Combined – Fractions 646.9 kB 4959 September 3, 2019