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Grade 9 Completing the Square Worksheet with Answers
Grade 9 (US) · Year 10 (UK) · Class 9 (India) · Math
Unit 8: Going FurtherAdvanced: Algebra II PreviewCCSS A-REI.B.4aAdvanced
Completing the square to rewrite quadratics in vertex form and to solve equations. This free high school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.
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Practice Sheetaethelsystems.comCompleting the Square
Grade 9 · Math
Name
Class
Date
Learning goal: Advanced: Algebra II Preview · CCSS A-REI.B.4a
Directions: Solve each problem. Show your work, then write your answer in the box.
What number completes the square: x^2 + 4x + ____ ?
Answer: 4
RememberQuadratics
- 1
What number completes the square: x^2 - 12x + ?
- 2
What number completes the square: x^2 + 10x + ?
- 3
What number completes the square: x^2 + 2x + ?
- 4
What number completes the square: x^2 + 16x + ?
- 5
What number completes the square: x^2 - 6x + ?
- 6
Write x^2 + 6x + 9 in vertex form by completing the square.
Answer - 7
Write x^2 - 4x + 22 in vertex form by completing the square.
Answer - 8
What number completes the square: x^2 - 10x + ?
- 9
Write x^2 - 4x - 2 in vertex form by completing the square.
Answer - 10
Write x^2 - 10x + 18 in vertex form by completing the square.
Answer - 11
Write x^2 - 14x + 33 in vertex form by completing the square.
Answer - 12
Write x^2 + 12x + 16 in vertex form by completing the square.
Answer
★ Challenge corner for fast finishers
If 2^x = 16, what is 4^x?
How did I do?
Teacher's comments
Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/9/completing_square
Answer key — Completing the Square (Grade 9)
- 1.36
- 2.25
- 3.1
- 4.64
- 5.9
- 6.(x + 3)^2
- 7.(x - 2)^2 + 18
- 8.25
- 9.(x - 2)^2 - 6
- 10.(x - 5)^2 - 7
- 11.(x - 7)^2 - 16
- 12.(x + 6)^2 - 20
- ★256
Answer key (click to show)
- 1.36
- 2.25
- 3.1
- 4.64
- 5.9
- 6.(x + 3)^2
- 7.(x - 2)^2 + 18
- 8.25
- 9.(x - 2)^2 - 6
- 10.(x - 5)^2 - 7
- 11.(x - 7)^2 - 16
- 12.(x + 6)^2 - 20
- ★256 (challenge corner)
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