Completing the Square - Worksheet 3 - 9th Grade
EasySolve quadratic equations by completing the square (Easy)
15 problems · 25-30 minutes · Skills: quadratics, algebra, equation solving
About This Worksheet
This easy-level worksheet contains 15 problems designed for 9th Grade students practicing completing the square. Easy worksheets use simpler numbers and straightforward problem types to build confidence and reinforce foundational skills.
Completing the square is one of the most elegant algebraic techniques. It derives the quadratic formula, reveals the vertex of a parabola, and is used in calculus (completing the square to integrate), analytic geometry (converting conic sections), and complex number theory.
- Rewrite a quadratic by completing the square to get vertex form
- Solve quadratic equations by completing the square
- Identify the vertex directly from vertex form y = a(x − h)² + k
- Determine the value added and subtracted when completing the square to keep equations balanced
- Apply completing the square to derive the quadratic formula from standard form
How to Solve: Worked Example
- Read the problem carefully.
- Identify what is being asked.
- Use what you know to find the answer.
- Check your work.
Answer Key
Frequently Asked Questions
How do I download this completing the square - worksheet 3 worksheet?
Click the "Download PDF / Print" button at the top of the worksheet. You can save it as a PDF or print it directly. The answer key will be on a separate page.
How do I find worksheets at different difficulty levels?
Each subtopic has 10 worksheets: Worksheets 1-3 are Easy, 4-7 are Medium, and 8-10 are Hard. Start with Easy worksheets to build confidence, then progress to harder ones.
What skills does this quadratic functions worksheet cover?
This worksheet focuses on quadratics, algebra, equation solving. It is designed for 9th Grade students and provides structured practice through varied problem types with a worked example to guide students before they begin.
Can I use this worksheet in my classroom?
Yes. All worksheets on K12Worksheets are free for classroom use. You can print copies for your entire class. With 10 worksheets per subtopic at three difficulty levels, you have plenty of options for differentiated instruction and individualized practice.
How many problems are on this worksheet?
This worksheet contains 15 problems. It typically takes 25-30 minutes to complete. An answer key with all solutions is included so parents and teachers can check work quickly.