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 7447 October 13, 2012
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 4650 October 13, 2012
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 5007 October 13, 2012
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 2734 October 13, 2012
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 1918 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 1122 October 13, 2012
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 986 October 13, 2012
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 1147 October 13, 2012
One-step equations – Addition and subtraction of Decimals – hard 555 kB 702 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 640 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 1327 October 13, 2012
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 1287 October 13, 2012
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 1110 October 13, 2012
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 695 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 686 October 13, 2012
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 3011 October 13, 2012
One-step equations – Multiply and divide – Integers – easy 542.2 kB 2337 October 13, 2012
One-step equations – Multiply and divide – Integers – medium 541 kB 2373 October 13, 2012
One-step equations – Multiply and divide – Integers – hard 544.8 kB 1151 October 13, 2012
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 717 October 13, 2012
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 698 October 13, 2012
One-step equations – Multiply and divide – Decimals – easy 557 kB 772 October 13, 2012
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 646 October 13, 2012
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 493 October 13, 2012
One-step equations – Multiply and divide – Decimals – very hard 571 kB 407 October 13, 2012
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 919 October 13, 2012
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 896 October 13, 2012
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 725 October 13, 2012
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 463 October 13, 2012
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 489 October 13, 2012
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 2121 October 13, 2012
One-step equations – Combined – Integers – easy 540.8 kB 2163 October 13, 2012
One-step equations – Combined – Integers – medium 542.5 kB 2541 October 13, 2012
One-step equations – Combined – Integers – hard 544 kB 1338 October 13, 2012
One-step equations – Combined – Integers – very hard 547.6 kB 846 October 13, 2012
One-step equations – Combined – Decimals – very easy 550.8 kB 546 October 13, 2012
One-step equations – Combined – Decimals – easy 556.4 kB 628 October 13, 2012
One-step equations – Combined – Decimals – medium 553.9 kB 587 October 13, 2012
One-step equations – Combined – Decimals – hard 550.5 kB 445 October 13, 2012
One-step equations – Combined – Decimals – very hard 551.4 kB 392 October 13, 2012
One-step equations – Combined – Fractions – very easy 558.7 kB 712 October 13, 2012
One-step equations – Combined – Fractions – easy 562.4 kB 812 October 13, 2012
One-step equations – Combined – Fractions – medium 572.1 kB 704 October 13, 2012
One-step equations – Combined – Fractions – hard 587.6 kB 512 October 13, 2012
One-step equations – Combined – Fractions – very hard 596.1 kB 530 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 1588 October 14, 2012
One-step equations – Addition and subtraction – Decimals 573.4 kB 566 October 14, 2012
One-step equations – Addition and subtraction – Fractions 657.5 kB 632 October 14, 2012
One-step equations – Multiply and divide – Integers 567.7 kB 1020 October 14, 2012
One-step equations – Multiply and divide – Decimals 573.5 kB 743 October 14, 2012
One-step equations – Multiply and divide – Fractions 631.3 kB 628 October 14, 2012
One-step equations – Combined – Integers 568 kB 1835 October 14, 2012
One-step equations – Combined – Decimals 573.1 kB 682 October 14, 2012
One-step equations – Combined – Fractions 646.9 kB 843 October 14, 2012


One-step equations knowledge test