Algebra Jeopardy!!

Complex Numbers

100

i²

-1

200

i⁴⁴⁴

1

300

√ -36

6i

400

(6+2i)(1-2i)

10-10i

500

What is the sum of 4+2i and 2-5i

6-3i

Complex Numbers pt. 2

100

Solve: 3 divided by 2-8i

3+12i divided by 34

200

Solve the Equation:

(7+9i)-(3+4i)

4+5i

300

√ -144

12i

400

Solve

(2+5i)(4-3i)

23+14i

500

i²⁶⁴

1

Quadratics

100

What is the Quadratic Formula?

x = ( -b ± √( b^2 - 4ac ) ) / ( 2a )    

200

Find the Zeros

f(x)=x²+3x-4

x=-4 and x=1

300

Determine the vertex, axis of symmetry, and the y-intercept of the equation

y=x²+4x-7

vertex: (-2,11)

axis of symmetry: x=-2

y-intercept: (0,-7)

400

Complete the Square

x²+8x+2=22

x=+/-6-4

x₁=2    x₂=-10

500

Solve the Equation by finding the Square Roots

3x²+7=55

√x²⁼ √ 16

x=+/- 4

Quadratics pt. 2

100

What is the standard form of a Quadratic?

ax²+bx+c=0

200

Rewrite in Standard Form

-x²-7x=14

-x²-7x-14=0

300

What is the Vertex form of a Quadratic function?

f(x)= a(x-h)²+k

400

Write the Equation of a Quadratic in vertex form given the vertex: (1,-6) and the point (4,21)

21=a(4-1)²+6

500

Factor the Equation:

9x²+6x+1

(3x+1)(3x+1)

Quadratic pt. 3

100

Using the Quadratic Formula, find the Discriminate of the equation and determine the number of the solutions and if they are Imaginary or Real:

x²+5x+4=0

Discriminate=9

2 real solutions

200

1. Identify "a" 

2. Determine if the parabola would open up/down 

3. Identify h and k, 

4. Axis of Symmetry

y=-1/4(x+2)²+5

a= -1/4 (opens downwards)

h=-2 

k=5

Vertex= (-2,5)

axis of symmetry = -2

300

How do you plug in a Quadratic Equation into a graphing calculator?

1. y=

2. plug in equation into y1

3. press "2nd" then "trace" and lastly "value"

400

A ball is thrown off a building from 200 feet above the ground. Its initial velocity is −10 feet per second.

The equation h=−16t²−10t+200ℎ= can be used to model the height of the ball after t seconds. About how long does it take for the ball to hit the ground?

The ball hits the ground approximately 3.24 seconds after being thrown.

500

A ball is thrown upward from the top of a 40 foot high building at a speed of 80 feet per second. The ball’s height above ground can be modeled by the equation H(t)=−16t²+80t+40

a. When does the ball reach the maximum height?

b. What is the maximum height of the ball?

c. When does the ball hit the ground?

a. The ball reaches a maximum height after 2.5 seconds.

b. The ball reaches a maximum height of 140 feet.

c.  The ball will hit the ground after about 5.458 seconds.