In Pre-Algebra one-step inequalities introduce the inequality symbols: undo the one operation by adding, subtracting or dividing on both sides, just as in an equation. Adding, subtracting, or dividing by a positive number leaves the sign pointing the same way.
Also taught in Algebra 1, at its own level and with its own examples.
Not quite the one you need? Same words, different skill:
Two-Step Inequalities (Pre-Algebra). Two operations, with negatives that flip the sign.
Multi-Step Inequalities (Pre-Algebra). Like terms, both sides, parentheses, and word problems.
Dividing by a positive number keeps the sign as it is.
The answer is x≥6.
Where students go wrong
Undoing with the same operation instead of the opposite one. In m + 15 > 22, subtract 15 to get m > 7; adding 15 gives m > 37, which does not work.
Also called solving simple inequalities.
What you can put on this worksheet
One step
v+8≤17→ v≤9
Dividing: the variable over a number
7v≤1→ v≤7
The number first, or the variable on the right
5≥5v→ v≤1
Questions about these worksheets
Yes. Every one-step inequalities sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.
Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.
Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.
Pre-Algebra is usually taken around 7th or 8th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.
Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.
That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the one-step inequalities questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.
Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.
You pick from 3: one step, dividing: the variable over a number and the number first, or the variable on the right. Tick as many as you want and set how many of each, or let it spread them evenly.
Forgetting to turn the sign round. -4x > 12 gives x < -3, not x > -3, and the quickest way to catch it is to test a number: x = -10 works, x = 0 does not.