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 8935 October 13, 2012
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 5567 October 13, 2012
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 6050 October 13, 2012
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 3266 October 13, 2012
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 2250 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 1350 October 13, 2012
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 1175 October 13, 2012
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 1381 October 13, 2012
One-step equations – Addition and subtraction of Decimals – hard 555 kB 812 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 729 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 1558 October 13, 2012
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 1562 October 13, 2012
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 1389 October 13, 2012
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 818 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 793 October 13, 2012
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 3655 October 13, 2012
One-step equations – Multiply and divide – Integers – easy 542.2 kB 2820 October 13, 2012
One-step equations – Multiply and divide – Integers – medium 541 kB 2941 October 13, 2012
One-step equations – Multiply and divide – Integers – hard 544.8 kB 1407 October 13, 2012
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 887 October 13, 2012
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 843 October 13, 2012
One-step equations – Multiply and divide – Decimals – easy 557 kB 912 October 13, 2012
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 782 October 13, 2012
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 597 October 13, 2012
One-step equations – Multiply and divide – Decimals – very hard 571 kB 468 October 13, 2012
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 1119 October 13, 2012
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 1132 October 13, 2012
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 888 October 13, 2012
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 567 October 13, 2012
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 572 October 13, 2012
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 2549 October 13, 2012
One-step equations – Combined – Integers – easy 540.8 kB 2660 October 13, 2012
One-step equations – Combined – Integers – medium 542.5 kB 3147 October 13, 2012
One-step equations – Combined – Integers – hard 544 kB 1654 October 13, 2012
One-step equations – Combined – Integers – very hard 547.6 kB 1041 October 13, 2012
One-step equations – Combined – Decimals – very easy 550.8 kB 656 October 13, 2012
One-step equations – Combined – Decimals – easy 556.4 kB 728 October 13, 2012
One-step equations – Combined – Decimals – medium 553.9 kB 748 October 13, 2012
One-step equations – Combined – Decimals – hard 550.5 kB 514 October 13, 2012
One-step equations – Combined – Decimals – very hard 551.4 kB 439 October 13, 2012
One-step equations – Combined – Fractions – very easy 558.7 kB 858 October 13, 2012
One-step equations – Combined – Fractions – easy 562.4 kB 973 October 13, 2012
One-step equations – Combined – Fractions – medium 572.1 kB 862 October 13, 2012
One-step equations – Combined – Fractions – hard 587.6 kB 608 October 13, 2012
One-step equations – Combined – Fractions – very hard 596.1 kB 637 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 1838 October 14, 2012
One-step equations – Addition and subtraction – Decimals 573.4 kB 688 October 14, 2012
One-step equations – Addition and subtraction – Fractions 657.5 kB 723 October 14, 2012
One-step equations – Multiply and divide – Integers 567.7 kB 1212 October 14, 2012
One-step equations – Multiply and divide – Decimals 573.5 kB 829 October 14, 2012
One-step equations – Multiply and divide – Fractions 631.3 kB 726 October 14, 2012
One-step equations – Combined – Integers 568 kB 2195 October 14, 2012
One-step equations – Combined – Decimals 573.1 kB 803 October 14, 2012
One-step equations – Combined – Fractions 646.9 kB 988 October 14, 2012


One-step equations knowledge test