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 7571 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – easy 0 B 4907 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – medium 0 B 4878 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – hard 0 B 2507 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – very hard 0 B 2041 January 1, 1970
Adding and subtracting decimals
One-step inequalities – Adding and subtracting – Decimals – easy 0 B 1692 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals – medium 0 B 1277 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals – hard 0 B 1052 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals – very hard 0 B 909 January 1, 1970
Adding and subtracting fractions
One-step inequalities – Adding and subtracting Fractions – very easy 0 B 1797 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – easy 0 B 1636 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – medium 0 B 1356 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – hard 0 B 1047 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – very hard 0 B 955 January 1, 1970
Multiplying and dividing integers
One-step inequalities – Multiplying and dividing – Integers – very easy 0 B 3578 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – easy 0 B 2803 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – medium 0 B 3017 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – hard 0 B 1659 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – very hard 0 B 1208 January 1, 1970
Multiplying and dividing decimals
One-step inequalities – Multiplying and dividing – Decimals – very easy 0 B 1164 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – easy 0 B 1049 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – medium 0 B 991 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – hard 0 B 874 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – very hard 0 B 760 January 1, 1970
Multiplying and dividing fractions
One-step inequalities – Multiplying and dividing – Fractions – very easy 0 B 1326 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – easy 0 B 1098 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – medium 0 B 1031 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – hard 0 B 840 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – very hard 0 B 879 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 4424 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals 0 B 1327 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions 0 B 1358 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers 0 B 3048 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals 0 B 1302 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions 0 B 1186 January 1, 1970

 

One-step inequalities knowledge test