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 11103 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – easy 278.6 kB 7185 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – medium 300.5 kB 7011 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – hard 313.4 kB 3790 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – very hard 340.1 kB 3242 September 3, 2019
Adding and subtracting decimals
One-step inequalities – Adding and subtracting – Decimals – easy 309.1 kB 2798 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals – medium 320.9 kB 1936 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals – hard 322.4 kB 1922 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals – very hard 368.3 kB 1614 September 3, 2019
Adding and subtracting fractions
One-step inequalities – Adding and subtracting Fractions – very easy 275.6 kB 2961 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – easy 321.9 kB 2765 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – medium 348.1 kB 2352 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – hard 365.7 kB 1909 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – very hard 476.9 kB 1647 September 3, 2019
Multiplying and dividing integers
One-step inequalities – Multiplying and dividing – Integers – very easy 290.9 kB 5339 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – easy 303.5 kB 4204 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – medium 315.3 kB 4463 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – hard 330 kB 2665 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – very hard 377.6 kB 2098 September 3, 2019
Multiplying and dividing decimals
One-step inequalities – Multiplying and dividing – Decimals – very easy 349.7 kB 1970 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – easy 351.3 kB 2000 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – medium 388.3 kB 1760 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – hard 412.7 kB 1704 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – very hard 432.7 kB 1500 September 3, 2019
Multiplying and dividing fractions
One-step inequalities – Multiplying and dividing – Fractions – very easy 315.1 kB 2221 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – easy 323.4 kB 2024 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – medium 362.7 kB 1748 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – hard 367 kB 1637 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – very hard 448.7 kB 1648 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 6656 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals 5.4 MB 2348 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions 5.3 MB 2378 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers 4.6 MB 4647 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals 5.7 MB 2238 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions 5.3 MB 1983 September 3, 2019