Solving Quadratic Equations Jeopardy

Solve each equation by factoring OR using quadratic formula.

100

p² + -2p - 10 = 5

5, -3

200

9n² + 39n = -36

-4/3, -3

300

7r² + 84 = -49r

-4, -3

400

3v² + 7v = 40

8/3, -5

Solve each equation by factoring OR using 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

Round to the nearest thousandth

x = -0.383 or x = 1.161

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

Round to the nearest thousandth

x = -4.17

or

x = -9.83

☠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}

Linear/Quadratics

100

How many solutions does the following system have?

y = x² - 2x - 3

y = -5

No solution

200

How many solutions does the following system have?

y = -x² + 2x + 7

y = -2x + 2

2 solutions

300

Solve using substitution.

y=x² + 4x + 5

y = 2x + 3

(-4, -5) and (2, 7)

400

Solve using substitution.

y=x² - 6x + 5

2x + y = 5

(0,5) and (4, -3)