Solving Quadratic Equations

Factoring

100

Use the Zero Product Property to solve the following quadratic equation. (x - 7)(x + 2) = 0

x = 7 x = -2

200

Solve the following quadratic equation by factoring. x²+3x+2 = 0

x = -2 x = -1

300

Solve the following quadratic equation by factoring. x² - 6x + 5 = 0

x = 5 x = 1

400

Solve the following quadratic equation by factoring. x² - 6x - 27 = 0

x = 9 x = -3

500

Solve the following quadratic equation by factoring. 2x² - 5x - 3 = 0

x = -1/2 x = 3

Square Roots

100

Solve the following quadratic equation by using square roots: x² = 4

x = 2 x = -2

200

Solve the following quadratic equation by using square roots: x² = 121

+11 or -11

300

Solve the following quadratic equation by using square roots: 4x² = 400

x = 10 x = -10

400

Solve the following quadratic equation by using square roots: x² -9 = -8

1 or -1

500

Solve the following quadratic equation by using square roots: 5x² + 3 = 128

x = 5 x = -5

What are the roots?

100

What type of roots does the following quadratic have? x² + 6x = -8

2 real roots

200

What type of roots does the following quadratic have?

x²-10x+25=0

1 real root

300

What type of roots does the following quadratic have?

8x²=5x-4

2 imaginary roots

400

If one root of a quadratic is -4 + SQRT(13), what is the other root?

-4 - sqrt(13)

500

If the value under the radical is negative when completing the quadratic formula, what type of roots and how many does the quadratic have?

2 imaginary

Quadratic Formula

100

What is the quadratic formula?

x = -b +- sqrt(b² - 4ac) /(2a)

200

Solve the following quadratic equation by using the quadratic formula: x² + 6x + 5 = 0

x = -1 x = -5

300

Solve the following quadratic equation by using the quadratic formula: x² - 9x + 20 = 0

x = 5 x = 4

400

Solve the following quadratic equation by using the quadratic formula: 2x² + 9x + 4 = 0

x = -1/2 x = -4

500

Solve the following quadratic equation by using the quadratic formula: 4x² - 17x - 15 = 0

x = 5 x = -3/4

Random

100

Factor:

9x²-64

(3x-8)(3x+8)

200

Finish the sentence:  Roots are the same as x-intercepts, solutions, and _________.

zeros

300

John kicked a football and its path is modeled by the quadratic, 4x²-21x+5.  If x represents the time in seconds after the ball is kicked, when will the ball touch the ground?

5 seconds

400

What year did Mrs. Luckett Graduate High School?

2006

500

What is Mrs. Luckett's Maiden Name?

Montgomery