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 29623 October 13, 2012
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 18613 October 13, 2012
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 19213 October 13, 2012
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 9947 October 13, 2012
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 7051 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 4181 October 13, 2012
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 3737 October 13, 2012
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 4128 October 13, 2012
One-step equations – Addition and subtraction of Decimals – hard 555 kB 2795 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 2246 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 4809 October 13, 2012
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 4652 October 13, 2012
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 4283 October 13, 2012
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 2609 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 2322 October 13, 2012
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 13922 October 13, 2012
One-step equations – Multiply and divide – Integers – easy 542.2 kB 10482 October 13, 2012
One-step equations – Multiply and divide – Integers – medium 541 kB 10357 October 13, 2012
One-step equations – Multiply and divide – Integers – hard 544.8 kB 4950 October 13, 2012
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 3081 October 13, 2012
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 2823 October 13, 2012
One-step equations – Multiply and divide – Decimals – easy 557 kB 3005 October 13, 2012
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 2406 October 13, 2012
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 1838 October 13, 2012
One-step equations – Multiply and divide – Decimals – very hard 571 kB 1601 October 13, 2012
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 3688 October 13, 2012
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 3645 October 13, 2012
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 2756 October 13, 2012
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 1969 October 13, 2012
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 1763 October 13, 2012
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 8757 October 13, 2012
One-step equations – Combined – Integers – easy 540.8 kB 8825 October 13, 2012
One-step equations – Combined – Integers – medium 542.5 kB 10129 October 13, 2012
One-step equations – Combined – Integers – hard 544 kB 4917 October 13, 2012
One-step equations – Combined – Integers – very hard 547.6 kB 3364 October 13, 2012
One-step equations – Combined – Decimals – very easy 550.8 kB 2213 October 13, 2012
One-step equations – Combined – Decimals – easy 556.4 kB 2364 October 13, 2012
One-step equations – Combined – Decimals – medium 553.9 kB 2223 October 13, 2012
One-step equations – Combined – Decimals – hard 550.5 kB 1625 October 13, 2012
One-step equations – Combined – Decimals – very hard 551.4 kB 1514 October 13, 2012
One-step equations – Combined – Fractions – very easy 558.7 kB 2684 October 13, 2012
One-step equations – Combined – Fractions – easy 562.4 kB 2849 October 13, 2012
One-step equations – Combined – Fractions – medium 572.1 kB 2606 October 13, 2012
One-step equations – Combined – Fractions – hard 587.6 kB 1815 October 13, 2012
One-step equations – Combined – Fractions – very hard 596.1 kB 1792 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 5332 October 14, 2012
One-step equations – Addition and subtraction – Decimals 573.4 kB 2225 October 14, 2012
One-step equations – Addition and subtraction – Fractions 657.5 kB 2246 October 14, 2012
One-step equations – Multiply and divide – Integers 567.7 kB 3873 October 14, 2012
One-step equations – Multiply and divide – Decimals 573.5 kB 2320 October 14, 2012
One-step equations – Multiply and divide – Fractions 631.3 kB 2243 October 14, 2012
One-step equations – Combined – Integers 568 kB 7317 October 14, 2012
One-step equations – Combined – Decimals 573.1 kB 2567 October 14, 2012
One-step equations – Combined – Fractions 646.9 kB 2941 October 14, 2012

One-step equations knowledge test