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 10191 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – easy 278.6 kB 6492 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – medium 300.5 kB 6420 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – hard 313.4 kB 3440 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – very hard 340.1 kB 2811 September 3, 2019
Adding and subtracting decimals
One-step inequalities – Adding and subtracting – Decimals – easy 309.1 kB 2377 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals – medium 320.9 kB 1754 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals – hard 322.4 kB 1550 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals – very hard 368.3 kB 1389 September 3, 2019
Adding and subtracting fractions
One-step inequalities – Adding and subtracting Fractions – very easy 275.6 kB 2523 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – easy 321.9 kB 2287 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – medium 348.1 kB 1932 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – hard 365.7 kB 1537 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – very hard 476.9 kB 1439 September 3, 2019
Multiplying and dividing integers
One-step inequalities – Multiplying and dividing – Integers – very easy 290.9 kB 4831 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – easy 303.5 kB 3832 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – medium 315.3 kB 3986 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – hard 330 kB 2299 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – very hard 377.6 kB 1741 September 3, 2019
Multiplying and dividing decimals
One-step inequalities – Multiplying and dividing – Decimals – very easy 349.7 kB 1725 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – easy 351.3 kB 1610 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – medium 388.3 kB 1488 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – hard 412.7 kB 1359 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – very hard 432.7 kB 1173 September 3, 2019
Multiplying and dividing fractions
One-step inequalities – Multiplying and dividing – Fractions – very easy 315.1 kB 1936 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – easy 323.4 kB 1662 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – medium 362.7 kB 1519 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – hard 367 kB 1296 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – very hard 448.7 kB 1311 September 3, 2019

 

One-step inequalities worksheets for students

Worksheet Name File Size Downloads Upload date
One-step inequalities – Adding and subtracting – Integers 4.9 MB 6011 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals 5.4 MB 1953 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions 5.3 MB 1966 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers 4.6 MB 4048 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals 5.7 MB 1865 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions 5.3 MB 1715 September 3, 2019