One-step inequalities

One-step inequalities are very easy to solve. They are very similar to one-step equations when it comes to the solving procedure. The biggest difference is that, while the solution of an equation is one number, the solution of an inequality is often a large group of numbers. For instance, let us say you have to solve an inequality that looks like this:

x + 4 > 8

The first thing  you have to do is to move the number 4 to the right side of the inequality. Do not forget to change the sign of the number you are moving to the other side. After that, just perform the subtraction. Like this:

x > 8 – 4

x > 4

As you can see, the inequation states that x is greater than 4. That means that the solution of the inequation are all numbers greater than 4.

one step inequalities

Also, a very important thing to remember is to change the sign of inequality when multiplying or dividing the whole expression with a negative number. For example, let us say we have an expression that looks like this:

-4x >16

To get to the value of x, we have to divide the whole expression with (-4). Like this:

-4x > 16 |: (-4)

Now we have to change that sign, or else we will get the wrong result. The final result will be:

x < -4

You can check that result by inserting any value smaller than (-4) as the value of x. If you wish to practice solving one-step inequalities, feel free to use the free math worksheets below.

One-step inequalities exams for teachers

Exam Name File Size Downloads Upload date
Adding and subtracting integers
One-step inequalities – Adding and subtracting – Integers – very easy 271.3 kB 9487 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – easy 278.6 kB 6020 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – medium 300.5 kB 5979 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – hard 313.4 kB 3134 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – very hard 340.1 kB 2521 September 3, 2019
Adding and subtracting decimals
One-step inequalities – Adding and subtracting – Decimals – easy 309.1 kB 2138 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals – medium 320.9 kB 1604 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals – hard 322.4 kB 1352 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals – very hard 368.3 kB 1177 September 3, 2019
Adding and subtracting fractions
One-step inequalities – Adding and subtracting Fractions – very easy 275.6 kB 2258 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – easy 321.9 kB 2059 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – medium 348.1 kB 1714 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – hard 365.7 kB 1344 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – very hard 476.9 kB 1245 September 3, 2019
Multiplying and dividing integers
One-step inequalities – Multiplying and dividing – Integers – very easy 290.9 kB 4442 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – easy 303.5 kB 3472 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – medium 315.3 kB 3674 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – hard 330 kB 2067 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – very hard 377.6 kB 1536 September 3, 2019
Multiplying and dividing decimals
One-step inequalities – Multiplying and dividing – Decimals – very easy 349.7 kB 1510 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – easy 351.3 kB 1347 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – medium 388.3 kB 1283 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – hard 412.7 kB 1158 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – very hard 432.7 kB 995 September 3, 2019
Multiplying and dividing fractions
One-step inequalities – Multiplying and dividing – Fractions – very easy 315.1 kB 1706 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – easy 323.4 kB 1454 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – medium 362.7 kB 1315 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – hard 367 kB 1110 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – very hard 448.7 kB 1127 September 3, 2019

 

One-step inequalities worksheets for students

Worksheet Name File Size Downloads Upload date
One-step inequalities – Adding and subtracting – Integers 4.9 MB 5549 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals 5.4 MB 1698 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions 5.3 MB 1733 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers 4.6 MB 3705 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals 5.7 MB 1648 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions 5.3 MB 1477 September 3, 2019