Quiz

Quiz: Solving Quadratic Equations by Completing the Square

Edexcel GCSE Mathematics (1MA1)

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Steps in this lesson (10)

1
Text

Welcome to this quiz on solving quadratic equations by completing the square. Let's test your knowledge and skills with a variety of questions!

2
Multiple ChoiceInteractive

What is the first step when completing the square for the equation x² + 6x + 5 = 0?

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3
Multi-SelectInteractive

Which of the following are true when completing the square for x² + bx + c = 0? (Select all that apply)

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4
Fill in the BlankInteractive

To complete the square for the equation \(x^2 + 4x + 1 = 0\), you write \(x^2 + 4x\) as \((x + {{blank0}})^2 - {{blank1}}\).

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5
MatchingInteractive

Match the items on the left with their correct pairs on the right

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6
Multiple ChoiceInteractive

Why is completing the square useful in solving quadratic equations?

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7
Fill in the BlankInteractive

The completed square form of \(x^2 + 8x + 12 = 0\) is \((x + {{blank0}})^2 - {{blank1}} = 0\).

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8
typedAnswer

Match the items on the left with their correct pairs on the right

9
Multi-SelectInteractive

Which of the following equations are already in completed square form? (Select all that apply)

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10
Multiple ChoiceInteractive

What is the turning point of the quadratic equation \(x^2 + 10x + 21\) after completing the square?

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