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Completing the Square: Practice Problems Quiz

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1. What is the first step in completing the square for the equation $x^2 + 6x + 5 = 0$?

2. After rearranging the equation $x^2 - 4x = -4$ for completing the square, what value should be added to both sides?

3. Completing the square for $x^2 + 12x + 27 = 0$ yields which of the following equations?

4. What is the completed square form of the equation $2x^2 + 8x - 10 = 0$?

5. For the equation $3x^2 + 18x + 27 = 0$, what is the first step in completing the square?

6. After completing the square for the equation $x^2 - 10x = 0$, which of the following is a solution for $x$?

7. What additional step is required when completing the square for the equation $4x^2 - 16x + 15 = 0$?

8. Which equation is the correct first rearrangement for completing the square of $x^2 + 10x - 24 = 0$?

9. What value needs to be added to both sides of the equation $x^2 + 14x + 49 = 0$ when completing the square?

10. What is the correct completed square form for the equation $x^2 + 8x + 16 = -20$?