In Pre-Algebra two-step inequalities are solved like two-step equations. Undo the adding or subtracting first, then the multiplying or dividing, and flip the sign if you divide by a negative.
Also taught in Algebra 1, at its own level and with its own examples.
Not quite the one you need? Same words, different skill:
One-Step Inequalities (Pre-Algebra). One operation, including the negative that turns the sign round.
Multi-Step Inequalities (Pre-Algebra). Like terms, both sides, parentheses, and word problems.
Divide by 6. Dividing by a positive number keeps the sign as it is.
The answer is x≥4.
Where students go wrong
Flipping the sign after adding or subtracting. Only multiplying or dividing by a negative flips it.
Also called solving inequalities in two steps.
What you can put on this worksheet
Two steps
7v+6≤13→ v≤1
The variable over a number
7v+8≤14→ v≤42
The variable on the right
3≥5v+7→ v≤8
Parentheses to expand
−4(v−8)≤28→ v≥1
A minus sign alone on the letter
11−n≤−13→ n≥24
Questions about these worksheets
Yes. Every two-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 two-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 5: two steps, the variable over a number, the variable on the right, parentheses to expand and a minus sign alone on the letter. Tick as many as you want and set how many of each, or let it spread them evenly.
Flipping the sign at the wrong step. Subtracting 5 changes nothing about the direction; only dividing by the negative does. Students who flip early get the right numbers pointing the wrong way.