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MA.912.AR.9.4 · Linear Relationships

Graphing the Solution Set of a System of Inequalities: Sample Algebra 1 EOC Questions

Two inequalities graphed on the same plane overlap in a region where both are true. Students graph both boundaries and identify the doubly shaded region, or decide whether a given point lies in it.

How the Algebra 1 EOC tests this benchmark

The system of two inequalities is always given on the EOC. Zero-coefficient cases such as x less than 3 paired with y at least negative 3 appear regularly, producing vertical and horizontal boundaries. Multiple choice items ask which graph shows the solution set; graphic response items ask students to build it.

Skills students need

  • Graph two boundary lines on one plane
  • Identify the overlapping solution region
  • Test whether a point satisfies both inequalities
  • Handle vertical and horizontal boundaries

Try 6 real MA.912.AR.9.4 questions

These come straight from Algebro's Algebra 1 question bank, easiest first. Answer one, check it, then move to the next.

Question 1 of 6

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Question 1EasyMultiple Choice
Figure: a coordinate plane from x = -8 to 8 and y = -8 to 8, showing a straight line and a straight line.
The graph of the solution set of a system of two linear inequalities is shown. The solution set is the region where the two shaded regions overlap. Which system does the graph represent?

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MA.912.AR.9.4: Systems of Inequalities Practice | Algebro