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 26691 October 13, 2012
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 16570 October 13, 2012
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 17218 October 13, 2012
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 8876 October 13, 2012
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 6274 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 3647 October 13, 2012
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 3249 October 13, 2012
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 3638 October 13, 2012
One-step equations – Addition and subtraction of Decimals – hard 555 kB 2345 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 1901 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 4264 October 13, 2012
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 4121 October 13, 2012
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 3771 October 13, 2012
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 2230 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 2012 October 13, 2012
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 12170 October 13, 2012
One-step equations – Multiply and divide – Integers – easy 542.2 kB 9094 October 13, 2012
One-step equations – Multiply and divide – Integers – medium 541 kB 9082 October 13, 2012
One-step equations – Multiply and divide – Integers – hard 544.8 kB 4258 October 13, 2012
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 2592 October 13, 2012
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 2377 October 13, 2012
One-step equations – Multiply and divide – Decimals – easy 557 kB 2538 October 13, 2012
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 2056 October 13, 2012
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 1539 October 13, 2012
One-step equations – Multiply and divide – Decimals – very hard 571 kB 1280 October 13, 2012
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 3178 October 13, 2012
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 3161 October 13, 2012
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 2384 October 13, 2012
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 1609 October 13, 2012
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 1448 October 13, 2012
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 7727 October 13, 2012
One-step equations – Combined – Integers – easy 540.8 kB 7831 October 13, 2012
One-step equations – Combined – Integers – medium 542.5 kB 9082 October 13, 2012
One-step equations – Combined – Integers – hard 544 kB 4349 October 13, 2012
One-step equations – Combined – Integers – very hard 547.6 kB 2864 October 13, 2012
One-step equations – Combined – Decimals – very easy 550.8 kB 1815 October 13, 2012
One-step equations – Combined – Decimals – easy 556.4 kB 1999 October 13, 2012
One-step equations – Combined – Decimals – medium 553.9 kB 1896 October 13, 2012
One-step equations – Combined – Decimals – hard 550.5 kB 1345 October 13, 2012
One-step equations – Combined – Decimals – very hard 551.4 kB 1243 October 13, 2012
One-step equations – Combined – Fractions – very easy 558.7 kB 2275 October 13, 2012
One-step equations – Combined – Fractions – easy 562.4 kB 2477 October 13, 2012
One-step equations – Combined – Fractions – medium 572.1 kB 2229 October 13, 2012
One-step equations – Combined – Fractions – hard 587.6 kB 1521 October 13, 2012
One-step equations – Combined – Fractions – very hard 596.1 kB 1520 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 4677 October 14, 2012
One-step equations – Addition and subtraction – Decimals 573.4 kB 1876 October 14, 2012
One-step equations – Addition and subtraction – Fractions 657.5 kB 1912 October 14, 2012
One-step equations – Multiply and divide – Integers 567.7 kB 3345 October 14, 2012
One-step equations – Multiply and divide – Decimals 573.5 kB 1974 October 14, 2012
One-step equations – Multiply and divide – Fractions 631.3 kB 1914 October 14, 2012
One-step equations – Combined – Integers 568 kB 6510 October 14, 2012
One-step equations – Combined – Decimals 573.1 kB 2136 October 14, 2012
One-step equations – Combined – Fractions 646.9 kB 2523 October 14, 2012


One-step equations knowledge test