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Algebra 2 · Chapter 2 · Lesson 2.9 · Printable PDF

Using the Quadratic Formula Worksheet with Answer Key

6 problems on solving quadratic equations with the quadratic formula: exact answers with radicals, putting an equation in standard form first, picking the fastest method, finding a student's mistake, and two word problems. 2 pages, with a worked answer key.

6 problems2 pagesanswer key
Printable Using the quadratic formula 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. Solve with the quadratic formula, exact answers:
    x^2 + 4x - 7 = 03x^2 - 7x + 2 = 02y^2 + 2y - 3 = 05m^2 - 3m + 1 = 0-x^2 + 6x - 4 = 0
  2. Put each equation in standard form, then solve with the formula:
    3x^2 = 2 - 5xx(2x - 3) = 40.3x^2 + 0.4x - 0.2 = 02x(x + 3) = (x + 2)(x - 1)
  3. Name the fastest method for each equation and say what tells you.
    7x^2 + 2x = 05x^2 - x - 3 = 04(x + 1)^2 = 9x^2 - 12x + 30 = 0
  4. Find the two mistakes in Kofi's work on 2x^2 - 8x - 1 = 0.
  5. Word problem: how many days did Maya's push-up plan last?
  6. Word problem: the two sticks of a kite cut from a dowel.

Teach it first

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

Using the quadratic formula: the lesson ›

More Chapter 2 worksheets: Quadratics and complex numbers