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Systems of inequalities practice

Students practice graphing systems of inequalities by identifying solution regions, determining solution points, ordering graphing steps, and matching boundary lines to inequalities, focusing on understanding solutions and graphical representations at the 9th-grade level.

By Edform · Mathematics · Grade 9 · Published Oct 15, 2026 · New

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Questions

  1. Which point is a solution to the system: y > 2x and y < x + 4?
  2. Select all points that are solutions to the system: y ≤ -x + 5 and y ≥ 1.
  3. Order the steps to graph the system: y < 2x - 1 and y ≥ -x + 4.
  4. Match each inequality with its correct boundary line style when graphing.
  5. Fill in the blank: The solution region for a system of inequalities is the area where the shaded regions of ___ inequalities overlap.
  6. Sort the following points into those that satisfy y < 2x + 1 and those that do not.
  7. For the system y ≤ x + 2 and y > -x, determine if each statement is true or false.
  8. How many integer points are in the solution region for the system: y ≥ 0, x ≥ 0, and x + y ≤ 2?
  9. What is the name of the region where the solutions to a system of inequalities overlap?

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