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 11042 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – easy 278.6 kB 7043 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – medium 300.5 kB 6960 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – hard 313.4 kB 3748 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – very hard 340.1 kB 3123 September 3, 2019
Adding and subtracting decimals
One-step inequalities – Adding and subtracting – Decimals – easy 309.1 kB 2678 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals – medium 320.9 kB 1902 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals – hard 322.4 kB 1803 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals – very hard 368.3 kB 1580 September 3, 2019
Adding and subtracting fractions
One-step inequalities – Adding and subtracting Fractions – very easy 275.6 kB 2830 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – easy 321.9 kB 2643 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – medium 348.1 kB 2234 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – hard 365.7 kB 1790 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – very hard 476.9 kB 1620 September 3, 2019
Multiplying and dividing integers
One-step inequalities – Multiplying and dividing – Integers – very easy 290.9 kB 5302 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – easy 303.5 kB 4169 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – medium 315.3 kB 4341 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – hard 330 kB 2547 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – very hard 377.6 kB 1982 September 3, 2019
Multiplying and dividing decimals
One-step inequalities – Multiplying and dividing – Decimals – very easy 349.7 kB 1942 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – easy 351.3 kB 1882 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – medium 388.3 kB 1728 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – hard 412.7 kB 1588 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – very hard 432.7 kB 1386 September 3, 2019
Multiplying and dividing fractions
One-step inequalities – Multiplying and dividing – Fractions – very easy 315.1 kB 2193 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – easy 323.4 kB 1908 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – medium 362.7 kB 1721 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – hard 367 kB 1522 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – very hard 448.7 kB 1534 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 6517 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals 5.4 MB 2224 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions 5.3 MB 2253 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers 4.6 MB 4521 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals 5.7 MB 2118 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions 5.3 MB 1948 September 3, 2019