Printable “Quadratic Equations” worksheets:
Solve Quadratic Equation (use factoring)
Solve Word Problems using Quadratic Equations
Sketching Quadratic Graphs
Rewrite Expressions in Completed-Squared Form
Solve Quadratic Equation (use completing the square)
Solve Quadratic Equation (use quadratic formula)
Discriminant in the Quadratic Formula
Examples, solutions, videos, and worksheets to help Algebra 1 students learn how to rewrite quadratic expressions given in standard form, ax2 + bx + c in the equivalent completed-square form, [a(x–h)]2 + k.
Completing the square is a method used to rewrite a quadratic expression in a form that reveals its minimum or maximum point, which is helpful for solving equations and graphing.
Steps to Complete the Square When 𝑎 = 1
Steps to Complete the Square When 𝑎 ≠ 1
When the coefficient of 𝑥2 is not equal to 1, you’ll need to factor 𝑎 out before completing the square.
The following example shows how to rewrite an expression in completed-square form.
Have a look at this video if you need to review how to complete the square.
Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Completing the Square Worksheets.
Printable
(Answers on the second page.)
Completing the Square Worksheet #1 (a = 1)
Completing the Square Worksheet #2 (a ≠ 1)
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