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 3991 October 13, 2012
One-step inequalities – Adding and subtracting – Integers – easy 278.6 kB 2605 October 13, 2012
One-step inequalities – Adding and subtracting – Integers – medium 300.5 kB 2675 October 13, 2012
One-step inequalities – Adding and subtracting – Integers – hard 313.4 kB 1220 October 13, 2012
One-step inequalities – Adding and subtracting – Integers – very hard 340.1 kB 1010 October 13, 2012
Adding and subtracting decimals
One-step inequalities – Adding and subtracting – Decimals – easy 309.1 kB 808 October 13, 2012
One-step inequalities – Adding and subtracting – Decimals – medium 320.9 kB 619 October 13, 2012
One-step inequalities – Adding and subtracting – Decimals – hard 322.4 kB 476 October 13, 2012
One-step inequalities – Adding and subtracting – Decimals – very hard 368.3 kB 444 October 13, 2012
Adding and subtracting fractions
One-step inequalities – Adding and subtracting Fractions – very easy 275.6 kB 937 October 13, 2012
One-step inequalities – Adding and subtracting – Fractions – easy 321.9 kB 825 October 13, 2012
One-step inequalities – Adding and subtracting – Fractions – medium 348.1 kB 639 October 13, 2012
One-step inequalities – Adding and subtracting – Fractions – hard 365.7 kB 497 October 13, 2012
One-step inequalities – Adding and subtracting – Fractions – very hard 476.9 kB 450 October 13, 2012
Multiplying and dividing integers
One-step inequalities – Multiplying and dividing – Integers – very easy 290.9 kB 1828 October 13, 2012
One-step inequalities – Multiplying and dividing – Integers – easy 303.5 kB 1390 October 13, 2012
One-step inequalities – Multiplying and dividing – Integers – medium 315.3 kB 1576 October 13, 2012
One-step inequalities – Multiplying and dividing – Integers – hard 330 kB 771 October 13, 2012
One-step inequalities – Multiplying and dividing – Integers – very hard 377.6 kB 556 October 13, 2012
Multiplying and dividing decimals
One-step inequalities – Multiplying and dividing – Decimals – very easy 349.7 kB 551 October 13, 2012
One-step inequalities – Multiplying and dividing – Decimals – easy 351.3 kB 483 October 13, 2012
One-step inequalities – Multiplying and dividing – Decimals – medium 388.3 kB 460 October 13, 2012
One-step inequalities – Multiplying and dividing – Decimals – hard 412.7 kB 387 October 13, 2012
One-step inequalities – Multiplying and dividing – Decimals – very hard 432.7 kB 378 October 13, 2012
Multiplying and dividing fractions
One-step inequalities – Multiplying and dividing – Fractions – very easy 315.1 kB 638 October 13, 2012
One-step inequalities – Multiplying and dividing – Fractions – easy 323.4 kB 478 October 13, 2012
One-step inequalities – Multiplying and dividing – Fractions – medium 362.7 kB 477 October 13, 2012
One-step inequalities – Multiplying and dividing – Fractions – hard 367 kB 373 October 13, 2012
One-step inequalities – Multiplying and dividing – Fractions – very hard 448.7 kB 395 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 2146 October 14, 2012
One-step inequalities – Adding and subtracting – Decimals 5.4 MB 613 October 14, 2012
One-step inequalities – Adding and subtracting – Fractions 5.3 MB 607 October 14, 2012
One-step inequalities – Multiplying and dividing – Integers 4.6 MB 1418 October 14, 2012
One-step inequalities – Multiplying and dividing – Decimals 5.7 MB 587 October 14, 2012
One-step inequalities – Multiplying and dividing – Fractions 5.3 MB 538 October 14, 2012

 

One-step inequalities knowledge test