Unit 8 Review - Quadratics

Solving Quadratics

100

b² = 64

b=8 or -8

200

3x²-5=7

x= 2 or -2

300

-x²+5=54

no real solution

400

3x²=30

+/- sqrt 10  (irrational)

500

h(t)= -5t²+20

How long will it take the ball to hit the ground? 

 

2 seconds

Key Features

100

y=x²+8x+7 easily gives us which key feature?

a. x int b. y int c. zeros d. roots e. vertex

b. y intercept

200

y=(x+1)²+8 easily gives us which key feature?

a. x int b. y int c. zeros d. roots e. vertex

e. vertex

300

y=(x+1)(x-6) easily gives us which key feature(s)?

a. x ints b. y int c. zeros d. roots e. vertex

a. x ints, c. zeros, d. roots

400

Who is fast on your team?

Run to the end of the hallway, tag the wall, and get back in 30 seconds

500

What is the value of K that would transform f(x) into g(x): f(x)=x²+10   g(x)=x²-20

k=-30

Roots/Zeros

100

Find the roots

x²+8x+7

x= -7 and x = -1

200

Find the roots

x²-4x+3

x=3 and x=1

300

Find someone stealthy

Run to Ms. Dop's room 319) and steal a pencil from a random kid

400

Find the roots

x²-9

x=3 and x=-3

500

Find the roots

-x²-7x-12

x=-3 and x=-4

Vertex

100

Find the vertex:

x²-4x+3

(2,-1)

200

Who on your team is loud?

Go to Mr. Licht's (322) room, open the door, and shout "I LOVE MATH!"

300

Find the vertex:

3x²-12x+9

(2,3)

400

Find the vertex:

-x²+2x+5

(1,6)

500

Find the vertex:

x²-16

(0,-16)

Discriminant/Quadratic Formula

100

Given x² + 6x + 9 = 0, find the value of the discriminant. How many roots are there?

0

1 root

200

Given 5x² - 3x + 4 = 0, find the value of the discriminant. How many roots are there?

-71

No real roots.

300

Who is friendly on your team?

Run to Mrs. Dalton's (321) room and give her a fist bump

400

Solve/find the roots using quadratic formula:

y=x²+3x+1

-3+/- sqrt (5)

         2

500

Solve/find the zeros using the quadratic formula:

2x²-x-2

1+/- sqrt (17)

       4