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 3796 October 13, 2012
One-step inequalities – Adding and subtracting – Integers – easy 278.6 kB 2449 October 13, 2012
One-step inequalities – Adding and subtracting – Integers – medium 300.5 kB 2541 October 13, 2012
One-step inequalities – Adding and subtracting – Integers – hard 313.4 kB 1138 October 13, 2012
One-step inequalities – Adding and subtracting – Integers – very hard 340.1 kB 947 October 13, 2012
Adding and subtracting decimals
One-step inequalities – Adding and subtracting – Decimals – easy 309.1 kB 742 October 13, 2012
One-step inequalities – Adding and subtracting – Decimals – medium 320.9 kB 564 October 13, 2012
One-step inequalities – Adding and subtracting – Decimals – hard 322.4 kB 425 October 13, 2012
One-step inequalities – Adding and subtracting – Decimals – very hard 368.3 kB 400 October 13, 2012
Adding and subtracting fractions
One-step inequalities – Adding and subtracting Fractions – very easy 275.6 kB 869 October 13, 2012
One-step inequalities – Adding and subtracting – Fractions – easy 321.9 kB 760 October 13, 2012
One-step inequalities – Adding and subtracting – Fractions – medium 348.1 kB 583 October 13, 2012
One-step inequalities – Adding and subtracting – Fractions – hard 365.7 kB 451 October 13, 2012
One-step inequalities – Adding and subtracting – Fractions – very hard 476.9 kB 406 October 13, 2012
Multiplying and dividing integers
One-step inequalities – Multiplying and dividing – Integers – very easy 290.9 kB 1711 October 13, 2012
One-step inequalities – Multiplying and dividing – Integers – easy 303.5 kB 1301 October 13, 2012
One-step inequalities – Multiplying and dividing – Integers – medium 315.3 kB 1461 October 13, 2012
One-step inequalities – Multiplying and dividing – Integers – hard 330 kB 699 October 13, 2012
One-step inequalities – Multiplying and dividing – Integers – very hard 377.6 kB 509 October 13, 2012
Multiplying and dividing decimals
One-step inequalities – Multiplying and dividing – Decimals – very easy 349.7 kB 520 October 13, 2012
One-step inequalities – Multiplying and dividing – Decimals – easy 351.3 kB 442 October 13, 2012
One-step inequalities – Multiplying and dividing – Decimals – medium 388.3 kB 425 October 13, 2012
One-step inequalities – Multiplying and dividing – Decimals – hard 412.7 kB 361 October 13, 2012
One-step inequalities – Multiplying and dividing – Decimals – very hard 432.7 kB 350 October 13, 2012
Multiplying and dividing fractions
One-step inequalities – Multiplying and dividing – Fractions – very easy 315.1 kB 600 October 13, 2012
One-step inequalities – Multiplying and dividing – Fractions – easy 323.4 kB 451 October 13, 2012
One-step inequalities – Multiplying and dividing – Fractions – medium 362.7 kB 445 October 13, 2012
One-step inequalities – Multiplying and dividing – Fractions – hard 367 kB 341 October 13, 2012
One-step inequalities – Multiplying and dividing – Fractions – very hard 448.7 kB 361 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 2007 October 14, 2012
One-step inequalities – Adding and subtracting – Decimals 5.4 MB 564 October 14, 2012
One-step inequalities – Adding and subtracting – Fractions 5.3 MB 530 October 14, 2012
One-step inequalities – Multiplying and dividing – Integers 4.6 MB 1346 October 14, 2012
One-step inequalities – Multiplying and dividing – Decimals 5.7 MB 500 October 14, 2012
One-step inequalities – Multiplying and dividing – Fractions 5.3 MB 498 October 14, 2012

 

One-step inequalities knowledge test