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MA.912.AR.2.7 · Linear Relationships

Writing Two-Variable Linear Inequalities: Sample Algebra 1 EOC Questions

A budget with two spending categories or a shipment with two package sizes is a two-variable inequality. Students write one from a graph or a written description, choosing the symbol that matches the constraint the situation describes.

How the Algebra 1 EOC tests this benchmark

All four inequality symbols appear, and cases where one variable has a zero coefficient, giving a vertical or horizontal boundary, are explicitly in scope. Reading a graph means checking two things: whether the boundary is solid or dashed and which side is shaded. Writing the inequality is this benchmark; graphing a given one is MA.912.AR.2.8.

Skills students need

  • Choose the symbol that matches a constraint
  • Write an inequality from a shaded graph
  • Read a solid or dashed boundary correctly
  • Write an inequality from a written description

Try 6 real MA.912.AR.2.7 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 = -6 to 6 and y = -6 to 6, showing a straight line.
The graph of a two-variable linear inequality is shown. Which inequality does the graph represent?

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MA.912.AR.2.7: Two-Variable Inequalities Practice | Algebro