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 5965 October 13, 2012
One-step inequalities – Adding and subtracting – Integers – easy 278.6 kB 3869 October 13, 2012
One-step inequalities – Adding and subtracting – Integers – medium 300.5 kB 3913 October 13, 2012
One-step inequalities – Adding and subtracting – Integers – hard 313.4 kB 1934 October 13, 2012
One-step inequalities – Adding and subtracting – Integers – very hard 340.1 kB 1549 October 13, 2012
Adding and subtracting decimals
One-step inequalities – Adding and subtracting – Decimals – easy 309.1 kB 1310 October 13, 2012
One-step inequalities – Adding and subtracting – Decimals – medium 320.9 kB 994 October 13, 2012
One-step inequalities – Adding and subtracting – Decimals – hard 322.4 kB 812 October 13, 2012
One-step inequalities – Adding and subtracting – Decimals – very hard 368.3 kB 703 October 13, 2012
Adding and subtracting fractions
One-step inequalities – Adding and subtracting Fractions – very easy 275.6 kB 1414 October 13, 2012
One-step inequalities – Adding and subtracting – Fractions – easy 321.9 kB 1309 October 13, 2012
One-step inequalities – Adding and subtracting – Fractions – medium 348.1 kB 1014 October 13, 2012
One-step inequalities – Adding and subtracting – Fractions – hard 365.7 kB 833 October 13, 2012
One-step inequalities – Adding and subtracting – Fractions – very hard 476.9 kB 735 October 13, 2012
Multiplying and dividing integers
One-step inequalities – Multiplying and dividing – Integers – very easy 290.9 kB 2883 October 13, 2012
One-step inequalities – Multiplying and dividing – Integers – easy 303.5 kB 2215 October 13, 2012
One-step inequalities – Multiplying and dividing – Integers – medium 315.3 kB 2415 October 13, 2012
One-step inequalities – Multiplying and dividing – Integers – hard 330 kB 1274 October 13, 2012
One-step inequalities – Multiplying and dividing – Integers – very hard 377.6 kB 902 October 13, 2012
Multiplying and dividing decimals
One-step inequalities – Multiplying and dividing – Decimals – very easy 349.7 kB 892 October 13, 2012
One-step inequalities – Multiplying and dividing – Decimals – easy 351.3 kB 784 October 13, 2012
One-step inequalities – Multiplying and dividing – Decimals – medium 388.3 kB 764 October 13, 2012
One-step inequalities – Multiplying and dividing – Decimals – hard 412.7 kB 646 October 13, 2012
One-step inequalities – Multiplying and dividing – Decimals – very hard 432.7 kB 605 October 13, 2012
Multiplying and dividing fractions
One-step inequalities – Multiplying and dividing – Fractions – very easy 315.1 kB 993 October 13, 2012
One-step inequalities – Multiplying and dividing – Fractions – easy 323.4 kB 806 October 13, 2012
One-step inequalities – Multiplying and dividing – Fractions – medium 362.7 kB 766 October 13, 2012
One-step inequalities – Multiplying and dividing – Fractions – hard 367 kB 620 October 13, 2012
One-step inequalities – Multiplying and dividing – Fractions – very hard 448.7 kB 637 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 3351 October 14, 2012
One-step inequalities – Adding and subtracting – Decimals 5.4 MB 991 October 14, 2012
One-step inequalities – Adding and subtracting – Fractions 5.3 MB 1018 October 14, 2012
One-step inequalities – Multiplying and dividing – Integers 4.6 MB 2448 October 14, 2012
One-step inequalities – Multiplying and dividing – Decimals 5.7 MB 995 October 14, 2012
One-step inequalities – Multiplying and dividing – Fractions 5.3 MB 897 October 14, 2012

 

One-step inequalities knowledge test