Algebra 2 · Chapter 2 · Lesson 2.1 · Printable PDF

Quadratic Inequalities Worksheet with Answer Key

7 problems on solving quadratic inequalities in interval notation: factorable and non-factorable cases, all or no real solutions, a double inequality, finding a student's sign error, reading a graph, and a sled word problem. 2 pages, with a worked answer key.

7 problems2 pagesanswer key
Printable Quadratic inequalities worksheet with answer key - Algebra 2 (Page 1 PDF preview)
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What's on the worksheet

  1. Solve each inequality and give the answer in interval notation.
    x^2 - 7x + 10 > 03x^2 \ge 12x2x^2 - 5x - 12 \ge 0-3x^2 + 4x + 4 \ge 0
  2. Solve each inequality, and say if every real number or none works.
    x^2 - 2x + 6 < 0-x^2 + 8x - 16 \ge 09x^2 + 6x + 1 > 02x^2 + 3 > x
  3. Solve a quadratic inequality with exact endpoints in interval notation.
  4. Test Elena's solution of -x^2 + 2x + 8 > 0 and find her error.
  5. Solve a double inequality in interval notation.
  6. Use the graph to solve each inequality, and check the ends.
  7. Word problem: a sled sliding down a hill and a trail marker 10 meters away.

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Quadratic inequalities: the lesson ›