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Algebra 2 · Chapter 2 · Lesson 2.5 · Printable PDF

The Discriminant Worksheet with Answer Key

5 problems on the discriminant and the number and kind of roots: finding it, naming rational, irrational, repeated or complex roots, solving over the complex numbers, correcting students' claims, and a parameter problem with a line and a parabola. 2 pages, with a worked answer key.

5 problems2 pagesanswer key
Printable The discriminant worksheet with answer key - Algebra 2 (Page 1 PDF preview)
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Try one first: a free Chapter 1 worksheet (PDF, no sign-in).

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What's on the worksheet

  1. Find each discriminant and say what kind of roots the equation has.
    4x^2 - 20x + 25 = 02x^2 + 9x - 5 = 0x^2 + 7 = 4x(x - 2)(x + 3) = 3x\dfrac{1}{4}x^2 + x + 2 = 0
  2. Solve over the complex numbers with the quadratic formula, answers as p plus or minus qi.
    x^2 - 6x + 10 = 04x^2 - 4x + 5 = 03x^2 + 2x + 1 = 0-2x^2 + 4x = 3
  3. Compare Naomi's and Diego's work on 2x^2 - 4x + 7 = 0 and fix the wrong claim.
  4. Find which values of k give non-real roots, rational roots and more.
  5. Find where lines through a point meet a parabola, using the discriminant.

Teach it first

The free lesson teaches it with worked examples and practice problems.

The discriminant: the lesson ›

More Chapter 2 worksheets: Quadratics and complex numbers