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 9917 October 13, 2012
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 6135 October 13, 2012
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 6595 October 13, 2012
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 3575 October 13, 2012
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 2463 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 1471 October 13, 2012
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 1299 October 13, 2012
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 1503 October 13, 2012
One-step equations – Addition and subtraction of Decimals – hard 555 kB 903 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 796 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 1708 October 13, 2012
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 1708 October 13, 2012
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 1516 October 13, 2012
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 897 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 866 October 13, 2012
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 4060 October 13, 2012
One-step equations – Multiply and divide – Integers – easy 542.2 kB 3136 October 13, 2012
One-step equations – Multiply and divide – Integers – medium 541 kB 3252 October 13, 2012
One-step equations – Multiply and divide – Integers – hard 544.8 kB 1557 October 13, 2012
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 962 October 13, 2012
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 929 October 13, 2012
One-step equations – Multiply and divide – Decimals – easy 557 kB 999 October 13, 2012
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 864 October 13, 2012
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 655 October 13, 2012
One-step equations – Multiply and divide – Decimals – very hard 571 kB 521 October 13, 2012
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 1236 October 13, 2012
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 1263 October 13, 2012
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 986 October 13, 2012
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 632 October 13, 2012
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 629 October 13, 2012
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 2837 October 13, 2012
One-step equations – Combined – Integers – easy 540.8 kB 2939 October 13, 2012
One-step equations – Combined – Integers – medium 542.5 kB 3473 October 13, 2012
One-step equations – Combined – Integers – hard 544 kB 1783 October 13, 2012
One-step equations – Combined – Integers – very hard 547.6 kB 1133 October 13, 2012
One-step equations – Combined – Decimals – very easy 550.8 kB 728 October 13, 2012
One-step equations – Combined – Decimals – easy 556.4 kB 801 October 13, 2012
One-step equations – Combined – Decimals – medium 553.9 kB 820 October 13, 2012
One-step equations – Combined – Decimals – hard 550.5 kB 566 October 13, 2012
One-step equations – Combined – Decimals – very hard 551.4 kB 486 October 13, 2012
One-step equations – Combined – Fractions – very easy 558.7 kB 934 October 13, 2012
One-step equations – Combined – Fractions – easy 562.4 kB 1068 October 13, 2012
One-step equations – Combined – Fractions – medium 572.1 kB 947 October 13, 2012
One-step equations – Combined – Fractions – hard 587.6 kB 665 October 13, 2012
One-step equations – Combined – Fractions – very hard 596.1 kB 691 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 2002 October 14, 2012
One-step equations – Addition and subtraction – Decimals 573.4 kB 778 October 14, 2012
One-step equations – Addition and subtraction – Fractions 657.5 kB 803 October 14, 2012
One-step equations – Multiply and divide – Integers 567.7 kB 1300 October 14, 2012
One-step equations – Multiply and divide – Decimals 573.5 kB 935 October 14, 2012
One-step equations – Multiply and divide – Fractions 631.3 kB 804 October 14, 2012
One-step equations – Combined – Integers 568 kB 2402 October 14, 2012
One-step equations – Combined – Decimals 573.1 kB 884 October 14, 2012
One-step equations – Combined – Fractions 646.9 kB 1071 October 14, 2012


One-step equations knowledge test