Writing inequalities from a graph worksheet for Algebra 1
In Algebra 1 this goes past single rays to compound inequalities, and works in every direction: write one from a graph or from words, graph a given one, and test whether a number is a solution. Read whether each circle is open or closed first, then the direction.
Also taught in Pre-Algebra, at its own level and with its own examples.
Not quite the one you need? Same words, different skill:
One-Step Inequalities (Algebra 1). One operation, including the negative that turns the sign round.
Two-Step Inequalities (Algebra 1). Two operations, with negatives that flip the sign.
Multi-Step Inequalities (Algebra 1). Like terms, both sides, parentheses, and word problems.
Closed circle at −2, open circle at 4, shaded between
Shading between two points is an "and," a compound inequality.
Closed at -2 means included; open at 4 means not.
The answer is −2≤x<4.
Where students go wrong
Writing "or" for a shaded middle section. Between two points means both conditions at once; "or" is for two rays pointing away from each other.
Also called writing inequalities from a number line, inequality from a graph or reading inequality graphs.
What you can put on this worksheet
Write the inequality from its graph
Write an inequality in v for the graph. — number line, labeled 2, 3, 4, 5, 6→ v>4
Write an inequality from words
The temperature stayed below 52 degrees. Let t be the temperature. Write an inequality.→ t<52
Graph a given inequality
Graph n≤1 on a number line. — blank number line→ Closed circle at 1, shaded to the left
A minus on the variable, or a fraction to graph
Graph p≤−25 on a number line. — blank number line→ Closed circle at −25, shaded to the left
Is the value a solution?
Is x=−7 a solution of 3x+6<−13?→ Yes
Questions about these worksheets
Yes. Every writing inequalities from a graph 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.
Algebra 1 is usually taken around 8th or 9th 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 writing inequalities from a graph 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: write the inequality from its graph, write an inequality from words, graph a given inequality, a minus on the variable, or a fraction to graph and is the value a solution?. Tick as many as you want and set how many of each, or let it spread them evenly.
Reading the arrow at the end of the number line as the answer. Every number line has arrows at both ends; the answer is the thick shaded part and the circle it starts from.