What's Your Complex?
All Things Aren't Created Equal
The Magic Formula
You "Complete" Me
Write That Function
100

The standard form of a complex number

What is a+bi?

100

The sketch of the graph of y> x+ 3x - 4

What is

100

This is the formula for the discriminant of the quadratic ax² + bx + c.

What is b² - 4ac?

100

This number is added to the binomial to complete the square x2 + 22x

What is 121?

100

This equation represents a quadratic equation in vertex form

What is y=a(x-h)² + k ?

200

*DAILY DOUBLE*

The solution to the equation 2x²+11=-37

What is x = ± 2i√6?

200

The algebraic solution to x- 2x > 15

What is x<-3 or x>5?

200

This formula can find the solutions of any quadratic function

What is x = [-b ±  √(b²-4ac)]/ 2a ?

200

This is the vertex form of the quadratic equation below using the process of completing the square

Y = x2 +8x +3

What is y= (x+4)2 - 13?

200

This quadratic equation has the x-intercepts -7 and -3 and passes through (-1,12)

What is y=(x+7)(x+3)?

300

The equivalent simplified expression of 10 - (6+7i) +4i

What is 4-3i?

300

True or false: (1,1) is a solution to y< x2+4 and y>x2-2x-3

What is true?

300

*Daily Double*

When you have this type of discriminant, you should expect non-real solutions to your quadratic equation.

What is negative?

300

This is the vertex form of the quadratic equation below using the process of completing the square

y= 3x2 -12x+1

What is y = 3(x-2)2 - 11?

300

This quadratic equation has a vertex of (-3,-2) and passes through (1,-10)

What is y= -0.5(x+3)² -2 ?

400

The simplified product of (9-2i) and (-4+7i)

What is -22+71i?

400

The graph of the inequality y > 4x2 -3x - 5

What is 

400

If your discriminant is this number, your quadratic equation has only one solution, not two.

What is zero?

400

The answer to the equation found by completing the square x2 -2x-10 = 0

What is x=1 ± √11?

400

A grenade is fired from the top of a tower so that its height is given by the equation h(t) = -16t² + 64t + 200, where t is measured in seconds. The grenade reaches its highest point at this time.

What is t=2?

500

The simplified quotient of (7+5i) / (1-4i)

What is (-13/17) + (33i/17)?

500

This solved inequality (rounded to the nearest tenth) shows the values of x where a soccer ball will go into an 8 foot high goal when the flight of the ball is y = -0.0540x2 +1.43x

x < 8.0 or x > 18.5

500

Let's be rational - just like your solutions will be if the discriminant is this kind of number.

What is a perfect square?

500

The solution to the equation found by completing the square x2-3x-7=0 

What is x= (3 ± √37) / 2 ?

x= 3 plus or minus the square root of 37 all over 2

500

This quadratic function in standard form passes through (-1,-3), (0,-4), and (2,6).

What is y = 2x² + x - 4?

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