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 4013 October 13, 2012
One-step inequalities – Adding and subtracting – Integers – easy 278.6 kB 2625 October 13, 2012
One-step inequalities – Adding and subtracting – Integers – medium 300.5 kB 2694 October 13, 2012
One-step inequalities – Adding and subtracting – Integers – hard 313.4 kB 1237 October 13, 2012
One-step inequalities – Adding and subtracting – Integers – very hard 340.1 kB 1027 October 13, 2012
Adding and subtracting decimals
One-step inequalities – Adding and subtracting – Decimals – easy 309.1 kB 824 October 13, 2012
One-step inequalities – Adding and subtracting – Decimals – medium 320.9 kB 633 October 13, 2012
One-step inequalities – Adding and subtracting – Decimals – hard 322.4 kB 493 October 13, 2012
One-step inequalities – Adding and subtracting – Decimals – very hard 368.3 kB 457 October 13, 2012
Adding and subtracting fractions
One-step inequalities – Adding and subtracting Fractions – very easy 275.6 kB 950 October 13, 2012
One-step inequalities – Adding and subtracting – Fractions – easy 321.9 kB 839 October 13, 2012
One-step inequalities – Adding and subtracting – Fractions – medium 348.1 kB 654 October 13, 2012
One-step inequalities – Adding and subtracting – Fractions – hard 365.7 kB 513 October 13, 2012
One-step inequalities – Adding and subtracting – Fractions – very hard 476.9 kB 464 October 13, 2012
Multiplying and dividing integers
One-step inequalities – Multiplying and dividing – Integers – very easy 290.9 kB 1846 October 13, 2012
One-step inequalities – Multiplying and dividing – Integers – easy 303.5 kB 1410 October 13, 2012
One-step inequalities – Multiplying and dividing – Integers – medium 315.3 kB 1592 October 13, 2012
One-step inequalities – Multiplying and dividing – Integers – hard 330 kB 790 October 13, 2012
One-step inequalities – Multiplying and dividing – Integers – very hard 377.6 kB 568 October 13, 2012
Multiplying and dividing decimals
One-step inequalities – Multiplying and dividing – Decimals – very easy 349.7 kB 562 October 13, 2012
One-step inequalities – Multiplying and dividing – Decimals – easy 351.3 kB 491 October 13, 2012
One-step inequalities – Multiplying and dividing – Decimals – medium 388.3 kB 468 October 13, 2012
One-step inequalities – Multiplying and dividing – Decimals – hard 412.7 kB 396 October 13, 2012
One-step inequalities – Multiplying and dividing – Decimals – very hard 432.7 kB 387 October 13, 2012
Multiplying and dividing fractions
One-step inequalities – Multiplying and dividing – Fractions – very easy 315.1 kB 647 October 13, 2012
One-step inequalities – Multiplying and dividing – Fractions – easy 323.4 kB 493 October 13, 2012
One-step inequalities – Multiplying and dividing – Fractions – medium 362.7 kB 488 October 13, 2012
One-step inequalities – Multiplying and dividing – Fractions – hard 367 kB 383 October 13, 2012
One-step inequalities – Multiplying and dividing – Fractions – very hard 448.7 kB 405 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 2174 October 14, 2012
One-step inequalities – Adding and subtracting – Decimals 5.4 MB 623 October 14, 2012
One-step inequalities – Adding and subtracting – Fractions 5.3 MB 619 October 14, 2012
One-step inequalities – Multiplying and dividing – Integers 4.6 MB 1437 October 14, 2012
One-step inequalities – Multiplying and dividing – Decimals 5.7 MB 600 October 14, 2012
One-step inequalities – Multiplying and dividing – Fractions 5.3 MB 551 October 14, 2012

 

One-step inequalities knowledge test