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 24506 October 13, 2012
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 15133 October 13, 2012
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 15725 October 13, 2012
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 8058 October 13, 2012
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 5671 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 3313 October 13, 2012
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 2956 October 13, 2012
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 3330 October 13, 2012
One-step equations – Addition and subtraction of Decimals – hard 555 kB 2068 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 1708 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 3887 October 13, 2012
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 3809 October 13, 2012
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 3442 October 13, 2012
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 1963 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 1790 October 13, 2012
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 11087 October 13, 2012
One-step equations – Multiply and divide – Integers – easy 542.2 kB 8203 October 13, 2012
One-step equations – Multiply and divide – Integers – medium 541 kB 8169 October 13, 2012
One-step equations – Multiply and divide – Integers – hard 544.8 kB 3780 October 13, 2012
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 2279 October 13, 2012
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 2115 October 13, 2012
One-step equations – Multiply and divide – Decimals – easy 557 kB 2288 October 13, 2012
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 1858 October 13, 2012
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 1367 October 13, 2012
One-step equations – Multiply and divide – Decimals – very hard 571 kB 1119 October 13, 2012
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 2854 October 13, 2012
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 2867 October 13, 2012
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 2144 October 13, 2012
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 1417 October 13, 2012
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 1275 October 13, 2012
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 7087 October 13, 2012
One-step equations – Combined – Integers – easy 540.8 kB 7188 October 13, 2012
One-step equations – Combined – Integers – medium 542.5 kB 8261 October 13, 2012
One-step equations – Combined – Integers – hard 544 kB 3945 October 13, 2012
One-step equations – Combined – Integers – very hard 547.6 kB 2548 October 13, 2012
One-step equations – Combined – Decimals – very easy 550.8 kB 1595 October 13, 2012
One-step equations – Combined – Decimals – easy 556.4 kB 1793 October 13, 2012
One-step equations – Combined – Decimals – medium 553.9 kB 1713 October 13, 2012
One-step equations – Combined – Decimals – hard 550.5 kB 1181 October 13, 2012
One-step equations – Combined – Decimals – very hard 551.4 kB 1081 October 13, 2012
One-step equations – Combined – Fractions – very easy 558.7 kB 2041 October 13, 2012
One-step equations – Combined – Fractions – easy 562.4 kB 2246 October 13, 2012
One-step equations – Combined – Fractions – medium 572.1 kB 2007 October 13, 2012
One-step equations – Combined – Fractions – hard 587.6 kB 1355 October 13, 2012
One-step equations – Combined – Fractions – very hard 596.1 kB 1351 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 4229 October 14, 2012
One-step equations – Addition and subtraction – Decimals 573.4 kB 1645 October 14, 2012
One-step equations – Addition and subtraction – Fractions 657.5 kB 1730 October 14, 2012
One-step equations – Multiply and divide – Integers 567.7 kB 3040 October 14, 2012
One-step equations – Multiply and divide – Decimals 573.5 kB 1762 October 14, 2012
One-step equations – Multiply and divide – Fractions 631.3 kB 1719 October 14, 2012
One-step equations – Combined – Integers 568 kB 5948 October 14, 2012
One-step equations – Combined – Decimals 573.1 kB 1908 October 14, 2012
One-step equations – Combined – Fractions 646.9 kB 2276 October 14, 2012


One-step equations knowledge test