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 8269 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – easy 0 B 5304 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – medium 0 B 5262 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – hard 0 B 2734 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – very hard 0 B 2216 January 1, 1970
Adding and subtracting decimals
One-step inequalities – Adding and subtracting – Decimals – easy 0 B 1847 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals – medium 0 B 1393 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals – hard 0 B 1162 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals – very hard 0 B 1003 January 1, 1970
Adding and subtracting fractions
One-step inequalities – Adding and subtracting Fractions – very easy 0 B 1969 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – easy 0 B 1791 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – medium 0 B 1479 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – hard 0 B 1163 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – very hard 0 B 1064 January 1, 1970
Multiplying and dividing integers
One-step inequalities – Multiplying and dividing – Integers – very easy 0 B 3854 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – easy 0 B 3015 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – medium 0 B 3239 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – hard 0 B 1802 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – very hard 0 B 1325 January 1, 1970
Multiplying and dividing decimals
One-step inequalities – Multiplying and dividing – Decimals – very easy 0 B 1265 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – easy 0 B 1146 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – medium 0 B 1099 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – hard 0 B 966 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – very hard 0 B 826 January 1, 1970
Multiplying and dividing fractions
One-step inequalities – Multiplying and dividing – Fractions – very easy 0 B 1458 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – easy 0 B 1222 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – medium 0 B 1129 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – hard 0 B 925 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – very hard 0 B 954 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 4861 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals 0 B 1447 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions 0 B 1494 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers 0 B 3300 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals 0 B 1419 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions 0 B 1283 January 1, 1970

 

One-step inequalities knowledge test