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Solve a quadratic equation by completing the square

Free printable Algebra 1 math worksheet for "Solve a quadratic equation by completing the square" — practice quadratic equations. No-prep, print or assign online.

This worksheet guides students through solving quadratic equations using the completing the square method. Teachers can use it to reinforce algebraic manipulation skills and deepen understanding of quadratic functions. Ideal for Algebra 1 classes, it supports mastery of solving quadratics with step-by-step practice and problem-solving challenges.

Math
Algebra & Functions
High School
Worksheets
Ages 14–18
hard

Learning objectives

  • Complete the square to transform quadratic equations into perfect square trinomials
  • Solve quadratic equations by applying the method of completing the square
  • Analyze and interpret solutions obtained through completing the square in various quadratic equations

Answer Key

Answer key for Solve a quadratic equation by completing the square — free printable Math worksheet

How to use this worksheet

  1. Click “Download Worksheet” and sign in with Google or email to get the PDF instantly.
  2. Print at home or in class for High School; it's no-prep, with no extra materials needed.
  3. Use the included answer key to mark it in seconds.

Frequently asked questions

Is the “Solve a quadratic equation by completing the square” worksheet free?

Yes. “Solve a quadratic equation by completing the square” is a free printable Math worksheet. Sign in with Google or email to download the PDF instantly.

What grade or age is this Math worksheet for?

It's designed for High School (ages 14–18), covering Quadratic equations.

Does it come with an answer key?

Yes — a matching answer key is included so you can grade it in seconds.

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