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 9889 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – easy 278.6 kB 6269 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – medium 300.5 kB 6210 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – hard 313.4 kB 3284 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – very hard 340.1 kB 2656 September 3, 2019
Adding and subtracting decimals
One-step inequalities – Adding and subtracting – Decimals – easy 309.1 kB 2250 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals – medium 320.9 kB 1668 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals – hard 322.4 kB 1435 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals – very hard 368.3 kB 1256 September 3, 2019
Adding and subtracting fractions
One-step inequalities – Adding and subtracting Fractions – very easy 275.6 kB 2370 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – easy 321.9 kB 2155 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – medium 348.1 kB 1801 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – hard 365.7 kB 1425 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – very hard 476.9 kB 1323 September 3, 2019
Multiplying and dividing integers
One-step inequalities – Multiplying and dividing – Integers – very easy 290.9 kB 4630 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – easy 303.5 kB 3656 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – medium 315.3 kB 3824 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – hard 330 kB 2169 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – very hard 377.6 kB 1622 September 3, 2019
Multiplying and dividing decimals
One-step inequalities – Multiplying and dividing – Decimals – very easy 349.7 kB 1605 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – easy 351.3 kB 1464 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – medium 388.3 kB 1369 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – hard 412.7 kB 1233 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – very hard 432.7 kB 1073 September 3, 2019
Multiplying and dividing fractions
One-step inequalities – Multiplying and dividing – Fractions – very easy 315.1 kB 1811 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – easy 323.4 kB 1534 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – medium 362.7 kB 1406 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – hard 367 kB 1185 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – very hard 448.7 kB 1201 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 5802 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals 5.4 MB 1812 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions 5.3 MB 1831 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers 4.6 MB 3878 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals 5.7 MB 1740 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions 5.3 MB 1578 September 3, 2019