Quadratics Jeopardy

GCFs

100

x²-6x=0

x=0, x=6

200

3x²+12x=0

x=0, x=-4

300

4x²+10x=0

x=0, x=-5/2

400

5x²+17x=2x

x=0, x=-3

500

6x²-7x=2x²+9x

x=0, x=4

Trinomials with a leading coefficient =1

100

x²-3x+2=0

x=1, x=2

200

x²+2x-15=0

x=-5, x=3

300

x²-4x+4=2x-4

x=4, x=2

400

3x²+30x+75=0

x=-5

500

2x²-2x-50=2x-2

x=6, x=-4

AC method

100

4x²+4x-4=0

x=-2, x=1/2

200

2x²+5x+2=0

x=-1/2, x=-2

300

6x²-2x-2=9x

x=-1/6, x=2

400

6x²+23x+20=0

x=-4/3, x=-5/2

500

12x²-10=4x-2

x=-2/3, x=1

Difference of squares

100

x²-4=0

x=2, x=-2

200

9x²-25=0

x=5/3, x=-5/3

300

16x²-64=0

x=2, x=-2

400

24x²-6=0

x=1/2, x=-1/2

500

50x²+2x-8=2x

x=2/5, x=-2/5

Word Problems

100

The product of two positive consecutive odd integers is 7 more than their sum. Find the integers. 

3 and 5

200

The altitude of a triangle is 2 inches longer than the base. If the total area of the triangle is 24 in², how long is the base?

the base is 6 inches.

300

A paper airplane is thrown into the air from the top of a desk. The function h(x)=-10x²+28x+6 represents the height of the airplane in feet at second t. After how long will the paper airplane hit the ground?

It hits the ground after 3 seconds.

400

Ms. K wants to build a moat around her house to keep her neighbors away. If she owns 2000 sqft of land and her house is a 40 ft by 30 ft rectangle, how wide should her moat be on all sides?

5 feet

500

Say there's a 10 foot ladder leaning against the wall of a house. The height from the ground to the top of the ladder is 2 feet less than the distance between the bottom of the ladder and the wall. Find the distance from the wall to the bottom of the ladder. 

8 feet