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 6866 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – easy 0 B 4428 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – medium 0 B 4456 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – hard 0 B 2283 January 1, 1970
One-step inequalities – Adding and subtracting – Integers – very hard 0 B 1890 January 1, 1970
Adding and subtracting decimals
One-step inequalities – Adding and subtracting – Decimals – easy 0 B 1570 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals – medium 0 B 1201 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals – hard 0 B 1001 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals – very hard 0 B 856 January 1, 1970
Adding and subtracting fractions
One-step inequalities – Adding and subtracting Fractions – very easy 0 B 1674 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – easy 0 B 1525 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – medium 0 B 1255 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – hard 0 B 999 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions – very hard 0 B 899 January 1, 1970
Multiplying and dividing integers
One-step inequalities – Multiplying and dividing – Integers – very easy 0 B 3289 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – easy 0 B 2582 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – medium 0 B 2795 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – hard 0 B 1551 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers – very hard 0 B 1138 January 1, 1970
Multiplying and dividing decimals
One-step inequalities – Multiplying and dividing – Decimals – very easy 0 B 1084 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – easy 0 B 985 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – medium 0 B 934 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – hard 0 B 828 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals – very hard 0 B 722 January 1, 1970
Multiplying and dividing fractions
One-step inequalities – Multiplying and dividing – Fractions – very easy 0 B 1231 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – easy 0 B 1019 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – medium 0 B 966 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – hard 0 B 800 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions – very hard 0 B 833 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 4062 January 1, 1970
One-step inequalities – Adding and subtracting – Decimals 0 B 1249 January 1, 1970
One-step inequalities – Adding and subtracting – Fractions 0 B 1268 January 1, 1970
One-step inequalities – Multiplying and dividing – Integers 0 B 2828 January 1, 1970
One-step inequalities – Multiplying and dividing – Decimals 0 B 1227 January 1, 1970
One-step inequalities – Multiplying and dividing – Fractions 0 B 1118 January 1, 1970

 

One-step inequalities knowledge test