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 7781 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – easy 0 B 5034 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – medium 0 B 4979 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – hard 0 B 2569 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – very hard 0 B 2077 January 1, 1970
Adding and subtracting decimals
One-step inequalities – Adding and subtracting – Decimals – easy 0 B 1738 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals – medium 0 B 1308 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals – hard 0 B 1089 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals – very hard 0 B 932 January 1, 1970
Adding and subtracting fractions
One-step inequalities – Adding and subtracting Fractions – very easy 0 B 1835 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – easy 0 B 1685 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – medium 0 B 1394 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – hard 0 B 1081 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – very hard 0 B 981 January 1, 1970
Multiplying and dividing integers
One-step inequalities – Multiplying and dividing – Integers – very easy 0 B 3653 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – easy 0 B 2862 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – medium 0 B 3063 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – hard 0 B 1686 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – very hard 0 B 1235 January 1, 1970
Multiplying and dividing decimals
One-step inequalities – Multiplying and dividing – Decimals – very easy 0 B 1187 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – easy 0 B 1073 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – medium 0 B 1024 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – hard 0 B 897 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – very hard 0 B 773 January 1, 1970
Multiplying and dividing fractions
One-step inequalities – Multiplying and dividing – Fractions – very easy 0 B 1358 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – easy 0 B 1128 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – medium 0 B 1052 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – hard 0 B 862 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – very hard 0 B 897 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 4541 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals 0 B 1358 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions 0 B 1389 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers 0 B 3101 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals 0 B 1332 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions 0 B 1213 January 1, 1970

 

One-step inequalities knowledge test