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 12750 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – easy 278.6 kB 8220 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – medium 300.5 kB 8023 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – hard 313.4 kB 4568 September 3, 2019
One-step inequalities – Adding and subtracting – Integers – very hard 340.1 kB 3860 September 3, 2019
Adding and subtracting decimals
One-step inequalities – Adding and subtracting – Decimals – easy 309.1 kB 3361 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals – medium 320.9 kB 2474 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals – hard 322.4 kB 2431 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals – very hard 368.3 kB 2062 September 3, 2019
Adding and subtracting fractions
One-step inequalities – Adding and subtracting Fractions – very easy 275.6 kB 3550 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – easy 321.9 kB 3293 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – medium 348.1 kB 2869 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – hard 365.7 kB 2377 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions – very hard 476.9 kB 2085 September 3, 2019
Multiplying and dividing integers
One-step inequalities – Multiplying and dividing – Integers – very easy 290.9 kB 6300 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – easy 303.5 kB 4949 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – medium 315.3 kB 5224 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – hard 330 kB 3203 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers – very hard 377.6 kB 2621 September 3, 2019
Multiplying and dividing decimals
One-step inequalities – Multiplying and dividing – Decimals – very easy 349.7 kB 2481 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – easy 351.3 kB 2511 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – medium 388.3 kB 2214 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – hard 412.7 kB 2156 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals – very hard 432.7 kB 1950 September 3, 2019
Multiplying and dividing fractions
One-step inequalities – Multiplying and dividing – Fractions – very easy 315.1 kB 2702 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – easy 323.4 kB 2482 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – medium 362.7 kB 2207 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – hard 367 kB 2102 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions – very hard 448.7 kB 2061 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 7741 September 3, 2019
One-step inequalities – Adding and subtracting – Decimals 5.4 MB 2992 September 3, 2019
One-step inequalities – Adding and subtracting – Fractions 5.3 MB 2865 September 3, 2019
One-step inequalities – Multiplying and dividing – Integers 4.6 MB 5386 September 3, 2019
One-step inequalities – Multiplying and dividing – Decimals 5.7 MB 2838 September 3, 2019
One-step inequalities – Multiplying and dividing – Fractions 5.3 MB 2488 September 3, 2019