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 18947 October 13, 2012
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 11459 October 13, 2012
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 12118 October 13, 2012
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 6473 October 13, 2012
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 4525 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 2579 October 13, 2012
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 2320 October 13, 2012
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 2698 October 13, 2012
One-step equations – Addition and subtraction of Decimals – hard 555 kB 1626 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 1399 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 3095 October 13, 2012
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 3031 October 13, 2012
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 2744 October 13, 2012
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 1561 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 1479 October 13, 2012
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 8212 October 13, 2012
One-step equations – Multiply and divide – Integers – easy 542.2 kB 6137 October 13, 2012
One-step equations – Multiply and divide – Integers – medium 541 kB 6364 October 13, 2012
One-step equations – Multiply and divide – Integers – hard 544.8 kB 2970 October 13, 2012
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 1822 October 13, 2012
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 1629 October 13, 2012
One-step equations – Multiply and divide – Decimals – easy 557 kB 1834 October 13, 2012
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 1520 October 13, 2012
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 1135 October 13, 2012
One-step equations – Multiply and divide – Decimals – very hard 571 kB 906 October 13, 2012
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 2248 October 13, 2012
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 2299 October 13, 2012
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 1759 October 13, 2012
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 1152 October 13, 2012
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 1079 October 13, 2012
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 5510 October 13, 2012
One-step equations – Combined – Integers – easy 540.8 kB 5666 October 13, 2012
One-step equations – Combined – Integers – medium 542.5 kB 6643 October 13, 2012
One-step equations – Combined – Integers – hard 544 kB 3250 October 13, 2012
One-step equations – Combined – Integers – very hard 547.6 kB 2037 October 13, 2012
One-step equations – Combined – Decimals – very easy 550.8 kB 1261 October 13, 2012
One-step equations – Combined – Decimals – easy 556.4 kB 1443 October 13, 2012
One-step equations – Combined – Decimals – medium 553.9 kB 1403 October 13, 2012
One-step equations – Combined – Decimals – hard 550.5 kB 969 October 13, 2012
One-step equations – Combined – Decimals – very hard 551.4 kB 859 October 13, 2012
One-step equations – Combined – Fractions – very easy 558.7 kB 1648 October 13, 2012
One-step equations – Combined – Fractions – easy 562.4 kB 1833 October 13, 2012
One-step equations – Combined – Fractions – medium 572.1 kB 1629 October 13, 2012
One-step equations – Combined – Fractions – hard 587.6 kB 1115 October 13, 2012
One-step equations – Combined – Fractions – very hard 596.1 kB 1127 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 3391 October 14, 2012
One-step equations – Addition and subtraction – Decimals 573.4 kB 1305 October 14, 2012
One-step equations – Addition and subtraction – Fractions 657.5 kB 1386 October 14, 2012
One-step equations – Multiply and divide – Integers 567.7 kB 2466 October 14, 2012
One-step equations – Multiply and divide – Decimals 573.5 kB 1465 October 14, 2012
One-step equations – Multiply and divide – Fractions 631.3 kB 1360 October 14, 2012
One-step equations – Combined – Integers 568 kB 4696 October 14, 2012
One-step equations – Combined – Decimals 573.1 kB 1510 October 14, 2012
One-step equations – Combined – Fractions 646.9 kB 1870 October 14, 2012


One-step equations knowledge test