Solving Quadratics

Factoring

100

x² + 7x + 15 = 5

What is x = -5, x = -2?

200

x² + 3x - 12 = 6

What is x = 3, x = -6?

300

6x² - 18 x - 18 = 6

What is x = 4, x = -1?

400

3x² - 16x - 7 = 5

What is x = 6, x = -2/3?

500

10x² = 27x - 18

What is x = 6/5, x = 3/2?

Square Roots

100

x² + 7 = 88

What is x = 9, x = -9?

200

-5x² = -500

What is x = 10, x = -10?

300

8x² - 7 = 193

What is x = 5, x = -5

400

3 - 4x² = -85

What is

x = +- sqrt(22)

500

16x² + 1 = 50

What is x = 7/4, x = -7/4?

Quadratic Formula

100

5x² = 60 - 20x

What is x = 2, x = -6?

200

3x² = -4 + 8x

What is x = 2, x = 2/3?

300

x² - 12x + 23 = 0

What is 

 x = 6 +- sqrt(13) 

400

x² - 10x + 26 = 8

What is  x = 5 +- sqrt(7) 

500

x² + 2x = -20

What is no solution?

Quadratic Formula #2

100

3x² + 7x = 6

What is x = 2/3, x = -3.

200

x² + x = 12

What is x = 3, x = -4.

300

20x - 3x² = 12

What is x = 6, x = 2/3?

400

x² + 24 = 10x

What is x = 6, x = 4?

500

x² = 5x

What is x = 0, x = 5?

Potluck

100

The side length of a square that has an area of 196 ft².

What is 14 feet?

200

x² + 36 = 0

What is "no real solution"?

300

The width of a rectangle who's length is 2 more than 3 times its width and who's area is 56 m².

What is 4 m?

400

7x² = 2x +. 9

What is x = -1, x = 9/7 ?

500

x² + 2x = 15

What is x = -5, x = 3?