Writing & Graphing Inequalities Worksheets, Grade 6 (6.EE.B.8) – Free PDF + Answer Key

First page of the writing & graphing inequalities practice worksheet

Download free

PDFs print on US Letter paper. Free for classroom and home use.

Step-by-step math videos on the Math With Mr DJ YouTube channel →

Key idea

Four phrases to know: ‘more than’ → > (open circle) · ‘less than’ → < (open circle) · ‘at least’ → ≥ (closed circle) · ‘at most’ → ≤ (closed circle). The open circle means the boundary is excluded; a closed circle means it counts.

Sample problems

Write an inequality for more than 7. Is 7 a solution?
From the set {0, 1, 3, 5}, list every solution of x < 3.
Write an inequality for at least 10 and say which circle you would draw.
Write an inequality for at most 25 and describe its graph.

Common mistakes to watch for

Wrote x ≥ 12 and let the 12-year-old ride. ‘More than’ excludes the number itself.
Included 5. ‘Less than’ excludes the boundary value.
Wrote x > 18 with an open circle. ‘At least’ includes the boundary.

The answer key explains each one, so you can tell what a wrong answer means.

How to use this set

Teach with the slides (about 15 minutes), or watch the video together.
Practice with the worksheet. Questions climb from fluency to application to reasoning.
Check understanding with the exit ticket, and send the homework home.
Mark with the answer key — each answer shows the steps and the most likely mistake.