Solving Quadratic Equations Jeopardy

Solve each equation by factoring.

100

x²+6x+8=0

x=-2, x=-4

200

p² + -2p - 10 = 5

x=5, x=-3

300

9n²+39n +36 = 0

x=-4/3, x=-3

400

7r² + 84 = -49r

x=-4, x=-3

500

3v² + 7v = 40

x=8/3, x=-5

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

2x²+10=8

x=i or x=-i

400

34 = (a - 2)² - 2

a = 8 or a = -4

500

0 = 3(x + 7)² - 24

x = -7 + 2 square root of 2

or

x = -7 - 2 square root of 2

Solve each equation with the quadratic formula

100

m² − 5m − 14 = 0

x=7, x=−2

200

b² − 4b + 4 = 0

x=2

300

2x² − 3x − 5 = 0

x=5/2 , x=−1

400

9n² = 4 + 7n

x= (7 + square root of 193) / 18

x= (7 - square root of 193) / 18

500

4v²=-11-7v

v= (-7 + i squareroot of 127)/8

or

v= (-7 - i squareroot of 127)/8

How much do you know?

100

what is the standard form of a quadratic? Which part gives you the y-intercept?

ax²+bx+c=0

y-intercept is always (0, c)

200

If you have the x-intercepts, how do you find the vertex?

1) half way between them is the axis of symmetry (the x-value of the vertex)

2) plug that into the original equation to get the y-value of the vertex

300

what is i? what is i⁷?

i = squareroot of -1

i⁷= i⁴*i³ = (1)(-i) = -i

400

What shape do all quadratic graphs have? how do you know if it faces up or down?

quadratic equations graph as parabolas.

the a tells us if it faces up (positive) or if it faces down (negative)

500

When is Ms. Heredia having the baby?

Christmas!

Simplifying Radical Expressions

100

square root (81)

9

200

square root (169)

13

300

square root (-25)

5i

400

square root (56)

4 square root (14)

500

square root (-147)

7i square root (3)