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 8505 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – easy 0 B 5452 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – medium 0 B 5421 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – hard 0 B 2826 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – very hard 0 B 2276 January 1, 1970
Adding and subtracting decimals
One-step inequalities – Adding and subtracting – Decimals – easy 0 B 1900 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals – medium 0 B 1435 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals – hard 0 B 1205 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals – very hard 0 B 1034 January 1, 1970
Adding and subtracting fractions
One-step inequalities – Adding and subtracting Fractions – very easy 0 B 2021 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – easy 0 B 1835 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – medium 0 B 1527 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – hard 0 B 1195 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – very hard 0 B 1094 January 1, 1970
Multiplying and dividing integers
One-step inequalities – Multiplying and dividing – Integers – very easy 0 B 3975 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – easy 0 B 3108 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – medium 0 B 3327 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – hard 0 B 1848 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – very hard 0 B 1359 January 1, 1970
Multiplying and dividing decimals
One-step inequalities – Multiplying and dividing – Decimals – very easy 0 B 1319 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – easy 0 B 1183 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – medium 0 B 1133 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – hard 0 B 996 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – very hard 0 B 854 January 1, 1970
Multiplying and dividing fractions
One-step inequalities – Multiplying and dividing – Fractions – very easy 0 B 1499 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – easy 0 B 1269 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – medium 0 B 1162 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – hard 0 B 960 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – very hard 0 B 987 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 5004 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals 0 B 1493 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions 0 B 1533 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers 0 B 3368 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals 0 B 1453 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions 0 B 1320 January 1, 1970

 

One-step inequalities knowledge test