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 5328 October 13, 2012
One-step inequalities – Adding and subtracting – Integers – easy 278.6 kB 3496 October 13, 2012
One-step inequalities – Adding and subtracting – Integers – medium 300.5 kB 3582 October 13, 2012
One-step inequalities – Adding and subtracting – Integers – hard 313.4 kB 1785 October 13, 2012
One-step inequalities – Adding and subtracting – Integers – very hard 340.1 kB 1447 October 13, 2012
Adding and subtracting decimals
One-step inequalities – Adding and subtracting – Decimals – easy 309.1 kB 1210 October 13, 2012
One-step inequalities – Adding and subtracting – Decimals – medium 320.9 kB 935 October 13, 2012
One-step inequalities – Adding and subtracting – Decimals – hard 322.4 kB 763 October 13, 2012
One-step inequalities – Adding and subtracting – Decimals – very hard 368.3 kB 670 October 13, 2012
Adding and subtracting fractions
One-step inequalities – Adding and subtracting Fractions – very easy 275.6 kB 1313 October 13, 2012
One-step inequalities – Adding and subtracting – Fractions – easy 321.9 kB 1215 October 13, 2012
One-step inequalities – Adding and subtracting – Fractions – medium 348.1 kB 948 October 13, 2012
One-step inequalities – Adding and subtracting – Fractions – hard 365.7 kB 779 October 13, 2012
One-step inequalities – Adding and subtracting – Fractions – very hard 476.9 kB 691 October 13, 2012
Multiplying and dividing integers
One-step inequalities – Multiplying and dividing – Integers – very easy 290.9 kB 2580 October 13, 2012
One-step inequalities – Multiplying and dividing – Integers – easy 303.5 kB 2017 October 13, 2012
One-step inequalities – Multiplying and dividing – Integers – medium 315.3 kB 2192 October 13, 2012
One-step inequalities – Multiplying and dividing – Integers – hard 330 kB 1165 October 13, 2012
One-step inequalities – Multiplying and dividing – Integers – very hard 377.6 kB 840 October 13, 2012
Multiplying and dividing decimals
One-step inequalities – Multiplying and dividing – Decimals – very easy 349.7 kB 830 October 13, 2012
One-step inequalities – Multiplying and dividing – Decimals – easy 351.3 kB 737 October 13, 2012
One-step inequalities – Multiplying and dividing – Decimals – medium 388.3 kB 721 October 13, 2012
One-step inequalities – Multiplying and dividing – Decimals – hard 412.7 kB 613 October 13, 2012
One-step inequalities – Multiplying and dividing – Decimals – very hard 432.7 kB 582 October 13, 2012
Multiplying and dividing fractions
One-step inequalities – Multiplying and dividing – Fractions – very easy 315.1 kB 918 October 13, 2012
One-step inequalities – Multiplying and dividing – Fractions – easy 323.4 kB 755 October 13, 2012
One-step inequalities – Multiplying and dividing – Fractions – medium 362.7 kB 720 October 13, 2012
One-step inequalities – Multiplying and dividing – Fractions – hard 367 kB 580 October 13, 2012
One-step inequalities – Multiplying and dividing – Fractions – very hard 448.7 kB 592 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 2986 October 14, 2012
One-step inequalities – Adding and subtracting – Decimals 5.4 MB 927 October 14, 2012
One-step inequalities – Adding and subtracting – Fractions 5.3 MB 929 October 14, 2012
One-step inequalities – Multiplying and dividing – Integers 4.6 MB 2191 October 14, 2012
One-step inequalities – Multiplying and dividing – Decimals 5.7 MB 909 October 14, 2012
One-step inequalities – Multiplying and dividing – Fractions 5.3 MB 836 October 14, 2012

 

One-step inequalities knowledge test