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 10344 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – easy 278.6 kB 6603 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – medium 300.5 kB 6541 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – hard 313.4 kB 3514 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – very hard 340.1 kB 2878 September 3, 2019
Adding and subtracting decimals
One-step inequalities – Adding and subtracting – Decimals – easy 309.1 kB 2429 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals – medium 320.9 kB 1786 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals – hard 322.4 kB 1596 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals – very hard 368.3 kB 1432 September 3, 2019
Adding and subtracting fractions
One-step inequalities – Adding and subtracting Fractions – very easy 275.6 kB 2578 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – easy 321.9 kB 2366 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – medium 348.1 kB 1990 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – hard 365.7 kB 1594 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – very hard 476.9 kB 1482 September 3, 2019
Multiplying and dividing integers
One-step inequalities – Multiplying and dividing – Integers – very easy 290.9 kB 4916 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – easy 303.5 kB 3908 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – medium 315.3 kB 4051 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – hard 330 kB 2349 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – very hard 377.6 kB 1780 September 3, 2019
Multiplying and dividing decimals
One-step inequalities – Multiplying and dividing – Decimals – very easy 349.7 kB 1769 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – easy 351.3 kB 1663 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – medium 388.3 kB 1539 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – hard 412.7 kB 1404 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – very hard 432.7 kB 1212 September 3, 2019
Multiplying and dividing fractions
One-step inequalities – Multiplying and dividing – Fractions – very easy 315.1 kB 1994 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – easy 323.4 kB 1707 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – medium 362.7 kB 1562 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – hard 367 kB 1339 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – very hard 448.7 kB 1359 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 6107 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals 5.4 MB 1998 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions 5.3 MB 2019 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers 4.6 MB 4128 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals 5.7 MB 1913 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions 5.3 MB 1764 September 3, 2019