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 7198 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – easy 0 B 4672 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – medium 0 B 4669 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – hard 0 B 2408 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – very hard 0 B 1964 January 1, 1970
Adding and subtracting decimals
One-step inequalities – Adding and subtracting – Decimals – easy 0 B 1639 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals – medium 0 B 1245 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals – hard 0 B 1026 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals – very hard 0 B 878 January 1, 1970
Adding and subtracting fractions
One-step inequalities – Adding and subtracting Fractions – very easy 0 B 1750 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – easy 0 B 1590 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – medium 0 B 1303 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – hard 0 B 1028 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – very hard 0 B 925 January 1, 1970
Multiplying and dividing integers
One-step inequalities – Multiplying and dividing – Integers – very easy 0 B 3433 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – easy 0 B 2696 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – medium 0 B 2912 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – hard 0 B 1617 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – very hard 0 B 1182 January 1, 1970
Multiplying and dividing decimals
One-step inequalities – Multiplying and dividing – Decimals – very easy 0 B 1130 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – easy 0 B 1024 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – medium 0 B 964 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – hard 0 B 859 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – very hard 0 B 745 January 1, 1970
Multiplying and dividing fractions
One-step inequalities – Multiplying and dividing – Fractions – very easy 0 B 1282 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – easy 0 B 1060 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – medium 0 B 997 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – hard 0 B 821 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – very hard 0 B 865 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 4246 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals 0 B 1299 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions 0 B 1326 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers 0 B 2961 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals 0 B 1269 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions 0 B 1155 January 1, 1970

 

One-step inequalities knowledge test