Completing the Square Worksheet
Grade 9 Math worksheet on completing the square, covering basic concepts, solving equations, and converting to vertex form.
Includes
Standards
Completing the Square
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Read each question carefully and answer to the best of your ability. Show all your work for full credit.
1. A perfect square trinomial is a trinomial that results from squaring a .
2. To complete the square for \(x^2 + bx\), you need to add \((\frac{b}{2})^2\) to make it a .
3. What constant term should be added to make \(x^2 + 10x\) a perfect square trinomial?
4. What constant term should be added to make \(x^2 - 7x\) a perfect square trinomial?
5. Which of the following is the factored form of \(x^2 + 12x + 36\)?
\((x-6)^2\)
\((x+6)^2\)
\((x+6)(x-6)\)
Not a perfect square trinomial
6. Solve the equation \(x^2 + 6x - 7 = 0\) by completing the square.
7. Solve the equation \(2x^2 - 8x + 6 = 0\) by completing the square.
8. Convert the quadratic function \(y = x^2 - 4x + 1\) into vertex form by completing the square.
9. Convert the quadratic function \(y = -x^2 - 6x - 5\) into vertex form by completing the square.