Algebra 1 · Chapter 2 · Lesson 2.9 · Printable PDF

The Overlap of Two Shaded Regions Worksheet with Answer Key

7 problems on systems of linear inequalities: testing points, finding where boundary lines cross, reading corners of a region, strips and empty overlaps, a quadrilateral region, and a goat feed mix. 2 pages, with a worked answer key.

7 problems2 pagesanswer key
Printable The overlap of two shaded regions worksheet with answer key - Algebra 1 (Page 1 PDF preview)
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What's on the worksheet

  1. Test each point in a system and name the inequality it breaks if it fails.
    (4, 1)(3, 1)(6, 1)(0, −3)(10, 0)
  2. Find where the two boundary lines cross and decide if that point is a solution.
  3. Check the corners a student read off the graph of a three-inequality system.
  4. Describe the solution sets of systems whose boundaries coincide.
  5. Write each inequality in slope-intercept form and describe the solution set of parallel boundaries.
  6. Write the inequalities for a quadrilateral region with solid and dashed sides.
  7. Goat feed problem: write and use a system for grain and pellets.

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