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 0 B 8006 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – easy 0 B 5164 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – medium 0 B 5089 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – hard 0 B 2648 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – very hard 0 B 2146 January 1, 1970
Adding and subtracting decimals
One-step inequalities – Adding and subtracting – Decimals – easy 0 B 1788 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals – medium 0 B 1346 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals – hard 0 B 1127 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals – very hard 0 B 967 January 1, 1970
Adding and subtracting fractions
One-step inequalities – Adding and subtracting Fractions – very easy 0 B 1893 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – easy 0 B 1725 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – medium 0 B 1434 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – hard 0 B 1124 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – very hard 0 B 1021 January 1, 1970
Multiplying and dividing integers
One-step inequalities – Multiplying and dividing – Integers – very easy 0 B 3745 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – easy 0 B 2932 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – medium 0 B 3141 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – hard 0 B 1737 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – very hard 0 B 1280 January 1, 1970
Multiplying and dividing decimals
One-step inequalities – Multiplying and dividing – Decimals – very easy 0 B 1220 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – easy 0 B 1111 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – medium 0 B 1062 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – hard 0 B 932 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – very hard 0 B 800 January 1, 1970
Multiplying and dividing fractions
One-step inequalities – Multiplying and dividing – Fractions – very easy 0 B 1404 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – easy 0 B 1182 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – medium 0 B 1096 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – hard 0 B 894 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – very hard 0 B 928 January 1, 1970

 

One-step inequalities worksheets for students

Worksheet Name File Size Downloads Upload date
One-step inequalities – Adding and subtracting – Integers 0 B 4704 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals 0 B 1401 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions 0 B 1455 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers 0 B 3196 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals 0 B 1388 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions 0 B 1251 January 1, 1970

 

One-step inequalities knowledge test