Bridge Math Quadratics Jeopardy

Properties of Parabolas

100

Vertex, axis of symmetry and min/max value of:

y=-x²

Vertex: (0,0)

Axis of Symmetry: x=0

Maximum: 0

200

Vertex, axis of symmetry, and min/max value of:

2x²

Vertex: (0,0)

Axis of Symmetry: x=0

Minimum: 0

300

Vertex, axis of symmetry, and min/max value of:

y=(-3/4)x²+9x-31

Vertex: (6,-4)

Axis of Symmetry: x=6

Max: -4

400

Vertex, axis of symmetry, and min/max value of:

y=(1/2)x²+5x+37

Vertex: (-5,6)

Axis of Symmetry: x=-5

Min: 6

500

Vertex, axis of symmetry, and min/max value of:

y=6x²-36x+45

Vertex: (3,-9)

Axis of Symmetry: x=3

Min: -9

Solve by Factoring

100

Solutions of:

x²+2x-3=0

(-3,1)

200

n²-2n-3=-4

n=1

300

5r²=-80+50r

x=8,2

400

p²=5p+14

x=-2,7

500

30m²-35m=25

x=(5/3),-(1/2)

Solve by Taking Square Roots

100

n²-8=31

Plus or minus the square root of 39.

200

2r²=104

Plus or minus 2 times the square root of 13.

300

5b²+5=-25

Plus or minus i times the square root of 6

400

2r²+7=97

Plus or minus 3 times the square root of 5

500

36m²+10=206

Plus or minus (7/3)

Solve by Completing the Square or Quadratic Formula

100

x²+12x+11=0

x=-1 or -11

200

n²+12n-28=0

x=2 or -14

300

r²+2r-77=3

r=8 or -10

400

x²-6x-67=5

x=12 or -6

500

-25+3x=-3x²-7

x=2 or -3

Using the Discriminant

100

Find the value of the discriminant:

6p²-2p-3=0

76

200

Find the value of the discriminant:

-4m²-4m+5=0

96

300

Find the value of the discriminant and then state the number of real or irrational solutions:

9n²-3n-8=-10

-63; two imaginary solutions

400

Find the value of the discriminant and then state the number of real or imaginary solutions:

9m²+6m+6=5

0; one real solution

500

Find the value of the discriminant and then state the number of real or imaginary solutions:

-9b²=-8b+8

-224; two imaginary solutions