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 4452 October 13, 2012
One-step equations – Addition and subtraction of Integers – easy 540.5 kB 2794 October 13, 2012
One-step equations – Addition and subtraction of Integers – medium 539.1 kB 2994 October 13, 2012
One-step equations – Addition and subtraction of Integers – hard 545.5 kB 1601 October 13, 2012
One-step equations – Addition and subtraction of Integers – very hard 3.1 MB 1068 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very easy 545.8 kB 640 October 13, 2012
One-step equations – Addition and subtraction of Decimals – easy 551.6 kB 542 October 13, 2012
One-step equations – Addition and subtraction of Decimals – medium 551.3 kB 626 October 13, 2012
One-step equations – Addition and subtraction of Decimals – hard 555 kB 380 October 13, 2012
One-step equations – Addition and subtraction of Decimals – very hard 564.8 kB 347 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very easy 555.6 kB 734 October 13, 2012
One-step equations – Addition and subtraction of Fractions – easy 560.4 kB 747 October 13, 2012
One-step equations – Addition and subtraction of Fractions – medium 579.1 kB 621 October 13, 2012
One-step equations – Addition and subtraction of Fractions – hard 592.3 kB 372 October 13, 2012
One-step equations – Addition and subtraction of Fractions – very hard 614.1 kB 387 October 13, 2012
One-step equations – Multiply and divide – Integers – very easy 537.7 kB 1811 October 13, 2012
One-step equations – Multiply and divide – Integers – easy 542.2 kB 1355 October 13, 2012
One-step equations – Multiply and divide – Integers – medium 541 kB 1415 October 13, 2012
One-step equations – Multiply and divide – Integers – hard 544.8 kB 643 October 13, 2012
One-step equations – Multiply and divide – Integers – very hard 552.3 kB 411 October 13, 2012
One-step equations – Multiply and divide – Decimals – very easy 558.4 kB 385 October 13, 2012
One-step equations – Multiply and divide – Decimals – easy 557 kB 433 October 13, 2012
One-step equations – Multiply and divide – Decimals – medium 564.1 kB 352 October 13, 2012
One-step equations – Multiply and divide – Decimals – hard 562.8 kB 281 October 13, 2012
One-step equations – Multiply and divide – Decimals – very hard 571 kB 216 October 13, 2012
One-step equations – Multiply and divide – Fractions – very easy 557.7 kB 491 October 13, 2012
One-step equations – Multiply and divide – Fractions – easy 570.5 kB 464 October 13, 2012
One-step equations – Multiply and divide – Fractions – medium 566.1 kB 394 October 13, 2012
One-step equations – Multiply and divide – Fractions – hard 578.4 kB 267 October 13, 2012
One-step equations – Multiply and divide – Fractions – very hard 591.6 kB 249 October 13, 2012
Combined
One-step equations – Combined – Integers – very easy 533.7 kB 1276 October 13, 2012
One-step equations – Combined – Integers – easy 540.8 kB 1282 October 13, 2012
One-step equations – Combined – Integers – medium 542.5 kB 1474 October 13, 2012
One-step equations – Combined – Integers – hard 544 kB 748 October 13, 2012
One-step equations – Combined – Integers – very hard 547.6 kB 441 October 13, 2012
One-step equations – Combined – Decimals – very easy 550.8 kB 295 October 13, 2012
One-step equations – Combined – Decimals – easy 556.4 kB 328 October 13, 2012
One-step equations – Combined – Decimals – medium 553.9 kB 313 October 13, 2012
One-step equations – Combined – Decimals – hard 550.5 kB 221 October 13, 2012
One-step equations – Combined – Decimals – very hard 551.4 kB 200 October 13, 2012
One-step equations – Combined – Fractions – very easy 558.7 kB 393 October 13, 2012
One-step equations – Combined – Fractions – easy 562.4 kB 472 October 13, 2012
One-step equations – Combined – Fractions – medium 572.1 kB 380 October 13, 2012
One-step equations – Combined – Fractions – hard 587.6 kB 280 October 13, 2012
One-step equations – Combined – Fractions – very hard 596.1 kB 268 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 928 October 14, 2012
One-step equations – Addition and subtraction – Decimals 573.4 kB 316 October 14, 2012
One-step equations – Addition and subtraction – Fractions 657.5 kB 335 October 14, 2012
One-step equations – Multiply and divide – Integers 567.7 kB 562 October 14, 2012
One-step equations – Multiply and divide – Decimals 573.5 kB 375 October 14, 2012
One-step equations – Multiply and divide – Fractions 631.3 kB 325 October 14, 2012
One-step equations – Combined – Integers 568 kB 1075 October 14, 2012
One-step equations – Combined – Decimals 573.1 kB 367 October 14, 2012
One-step equations – Combined – Fractions 646.9 kB 433 October 14, 2012


One-step equations knowledge test