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 271.3 kB 7208 October 13, 2012
One-step inequalities – Adding and subtracting – Integers – easy 278.6 kB 4562 October 13, 2012
One-step inequalities – Adding and subtracting – Integers – medium 300.5 kB 4651 October 13, 2012
One-step inequalities – Adding and subtracting – Integers – hard 313.4 kB 2348 October 13, 2012
One-step inequalities – Adding and subtracting – Integers – very hard 340.1 kB 1944 October 13, 2012
Adding and subtracting decimals
One-step inequalities – Adding and subtracting – Decimals – easy 309.1 kB 1635 October 13, 2012
One-step inequalities – Adding and subtracting – Decimals – medium 320.9 kB 1287 October 13, 2012
One-step inequalities – Adding and subtracting – Decimals – hard 322.4 kB 1053 October 13, 2012
One-step inequalities – Adding and subtracting – Decimals – very hard 368.3 kB 912 October 13, 2012
Adding and subtracting fractions
One-step inequalities – Adding and subtracting Fractions – very easy 275.6 kB 1758 October 13, 2012
One-step inequalities – Adding and subtracting – Fractions – easy 321.9 kB 1608 October 13, 2012
One-step inequalities – Adding and subtracting – Fractions – medium 348.1 kB 1308 October 13, 2012
One-step inequalities – Adding and subtracting – Fractions – hard 365.7 kB 1047 October 13, 2012
One-step inequalities – Adding and subtracting – Fractions – very hard 476.9 kB 947 October 13, 2012
Multiplying and dividing integers
One-step inequalities – Multiplying and dividing – Integers – very easy 290.9 kB 3477 October 13, 2012
One-step inequalities – Multiplying and dividing – Integers – easy 303.5 kB 2732 October 13, 2012
One-step inequalities – Multiplying and dividing – Integers – medium 315.3 kB 2916 October 13, 2012
One-step inequalities – Multiplying and dividing – Integers – hard 330 kB 1595 October 13, 2012
One-step inequalities – Multiplying and dividing – Integers – very hard 377.6 kB 1188 October 13, 2012
Multiplying and dividing decimals
One-step inequalities – Multiplying and dividing – Decimals – very easy 349.7 kB 1172 October 13, 2012
One-step inequalities – Multiplying and dividing – Decimals – easy 351.3 kB 1041 October 13, 2012
One-step inequalities – Multiplying and dividing – Decimals – medium 388.3 kB 1004 October 13, 2012
One-step inequalities – Multiplying and dividing – Decimals – hard 412.7 kB 878 October 13, 2012
One-step inequalities – Multiplying and dividing – Decimals – very hard 432.7 kB 769 October 13, 2012
Multiplying and dividing fractions
One-step inequalities – Multiplying and dividing – Fractions – very easy 315.1 kB 1312 October 13, 2012
One-step inequalities – Multiplying and dividing – Fractions – easy 323.4 kB 1085 October 13, 2012
One-step inequalities – Multiplying and dividing – Fractions – medium 362.7 kB 1030 October 13, 2012
One-step inequalities – Multiplying and dividing – Fractions – hard 367 kB 856 October 13, 2012
One-step inequalities – Multiplying and dividing – Fractions – very hard 448.7 kB 848 October 13, 2012

 

One-step inequalities worksheets for students

Worksheet Name File Size Downloads Upload date
One-step inequalities – Adding and subtracting – Integers 4.9 MB 4175 October 14, 2012
One-step inequalities – Adding and subtracting – Decimals 5.4 MB 1302 October 14, 2012
One-step inequalities – Adding and subtracting – Fractions 5.3 MB 1326 October 14, 2012
One-step inequalities – Multiplying and dividing – Integers 4.6 MB 2909 October 14, 2012
One-step inequalities – Multiplying and dividing – Decimals 5.7 MB 1282 October 14, 2012
One-step inequalities – Multiplying and dividing – Fractions 5.3 MB 1172 October 14, 2012

 

One-step inequalities knowledge test