Algebra 1: Solving Quadratic Equations Jeopardy

Solve each equation by factoring.

100

p² + -2p - 10 = 5

5, -3

200

x² - 16x + 60 = -4

x = 8

300

4x² +8x -5 = 0

x = 1/2    x = -5/2

400

9n² + 39n = -36

-4/3, -3

500

8x² - 56x + 48 = 0

x = 1,   x = 6

Solve using square roots.

100

4x² + 25 = 125

x= 5 or x = -5

200

(4x + 1)² - 16 = 0

x = 3/4 or x = -5/4

300

34 = (a - 2)² - 2

a = 8 or a = -4

400

0 = 3(x + 7)² - 24

x = -7 + 2 square root of 2

or

x = -7 - 2 square root of 2

500

4(x-2)² +6 = 31

x = 9/2 or 4.5,  x = - 1/2 

Solve each equation with the quadratic formula

100

m² − 5m − 14 = 0

{7, −2}

200

b² − 4b + 4 = 0

{2}

300

2x² − 3x − 5 = 0

{5/2 , −1}

400

9n² = 4 + 7n

{ 7 + square root of 193 / 18, 7 - square root of 193 / 18}

500

4x² -x = 7

(1 + square root 113)/ 8

(1 - square root 113)/ 8

☠Pick your Poison (choose method)

100

a² + 14a - 51 = 0

{3, -17}

200

x² − 12x + 11 = 0

{11, 1}

300

n² = 18n + 40

{20, −2}

400

x² − 10x + 26 = 8

{5 + square root 7, 5 square root − 7}

500

What is the discriminant of 

8n² +4n -16 = -n²

What does the discriminant tell me?

592, there are 2 real solutions

Quadratic Properties

100

What is the value of "a" for a graph of a quadratic function opening downward.

Negative

200

Is the vertex of the quadratic function y = 5x² + 10x - 2 a minimum or maximum point?

minimum

300

What is the "b" of the quadratic function y=2x² + 5

zero

400

The "a", "b" and "c" of the quadratic function 

y= 1 - 2x² + 3x

What is a=-2, b=3 and c=1?

500

What are the coordinates of the y-intercept for the quadratic function y=3x² + 2x ?

(0,0)