1. Choosing the Appropriate Method

2. In the quadratic function x2 – 2x + c = 0, c represents an unknown constant. If x = -6 is one of the solutions, what is the other solution?

3. In the quadratic function x2 – 5x + c = 0, c represents an unknown constant. If x = 4 is one of the solutions, what is the other solution?

4. In the quadratic function x2 + 3x + c = 0, c represents an unknown constant. If x = -1 is one of the solutions, what is the other solution?

5. What is the quadratic function that has the solutions 5 and -1?
x = 5 and x = -1
x – 5 = 0 and x + 1 = 0
(x - 5)(x + 1) = 0
x2 + x – 5x – 5 = 0
x2 – 4x – 5 = 0

6. What is the quadratic function that has 2 as its solution?
x = 2 and x = 2
x – 2 = 0 and x - 2 = 0
(x – 2)(x – 2) = 0
x2 –2x - 2x + 4 = 0
x2 – 4x + 4 = 0

7. The 5 Methods Graphing Factoring Square Root Method Quadratic Formula
Completing the Square*
* Didn’t do this one, but I have notes on my webpage on how to do it if you are interested (in unit 15).

8. x2 – 2x + 8 = 0

9. x2 – 3x – 4 = 0

10. 2x2 – x – 4 = 0

11. x2 + 10x = -16

12. 0 = 4x