IM2 Solving Quadratic Equations

Factoring

100

x² - 1 = 0

x = 1, x = -1

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 - 3x = 0

x = 0, x = 3

500

Solve the following quadratic equation by factoring. 

5x² + 20x + 15= 0

x = -1 and x = -3

More Factoring

100

Solve the following quadratic equation by factoring: x² - 4 = 0

x = 2 x = -2

200

Solve the following quadratic equation by factoring:

9x² - 81 = 0

x = -3, x = 3

300

Solve the following quadratic equation by factoring: 4x² - 400 = 0

x = 10 , x = -10

400

Solve the following quadratic equation by factoring: x² - 9x = 8

x=-8 or x=-1

500

Solve the following quadratic equation by factoring: 5x² -125 = 0

x = 5 , x = -5

Completing the Square

100

Solve the following quadratic equation by completing the square: x² + 6x = -8

x = -2 , x = -4

200

Solve the following quadratic equation by completing the square: x² - 6x = -5

x = 1, x = 5

300

Solve the following quadratic equation by completing the square: 2x² - 4x = 48

x = -4 x = 6

400

Solve the following quadratic equation by completing the square: x² + 10x +5 = 0

x = -5 +/- 2sqr5

500

Solve the following quadratic equation by completing the square (nearest tenth): 

x² - 8x + 13 = 0

x = 5.7, x = 2.3

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 + 6 = 0

x = (9 +/- sqrt 57) / 2

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 (nearest tenth): 

4x² - 17x =-12 

x = 3.4, x = .9

Random Math Questions

100

What are three ways you can solve for the x-intercepts?

Completing the Square

Zero Product Property (factoring)

Quadratic Formula

200

What number is equivalent to i^{2 ?}

-1

300

Name three topics on next week's final

Solving quadratics, graphing quadratics, properties of exponents, trigonometry, probability, factoring.

400

What is the standard form of a quadratic equation?

ax² + bx + c = 0

500

How do you write a quadratic equation in general graphing form?

y = (x - h)² + k