Algebra 1 · Chapter 11 · Lesson 11.9 · Printable PDF · Free

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 and a one-page lesson handout. Free to download, no sign-in.

6 problems2 pagesanswer keylesson handout
Printable Using the quadratic formula worksheet with answer key - Algebra 1 (Page 1 PDF preview)
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What's on the worksheet

  1. Solve with the quadratic formula, exact answers, or say there are no real solutions.
    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, clear decimals or fractions, 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 method that reaches the solutions in the fewest steps for each equation.
    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 a quadratic equation.
  5. Word problem: how many days did Maya's push-up plan last?
  6. Word problem: use the kite sticks cut from a dowel to find their lengths.

Teach it first

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

Using the quadratic formula: the lesson ›