Roots of Factorable Quadratic
Quadratic Apps from Models
Random Trivia
Writing Quadratic Models
Solutions of Non-Factorable Quadratics
100

These are the roots or x-intercepts of the function

f(x)=x^2+15x+50

What are 

(-5, 0) and (-10, 0)?

100

An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the object's height s at time t seconds after launch is s(t) = –4.9t+ 19.6t + 58.8, where s is in meters.

This is the amount of time it takes for the object to reach its maximum height.

What is 2 seconds?

100

This state is known as the Empire State.

What is New York?

100

A rectangular garden has initial dimensions of 16 feet by 22 feet, but the owner wishes to extend the length and width by the same amount to expand its area.

This is the quadratic function that represents the area of the extended garden.

What is 

A=(16+x)(22+x) or A=x^2+38x+352?

100

These are the simplified solutions of the equation

0=x^2+x-5

What is 

x=(-1+-\sqrt(21))/2?

200

These are the roots or x-intercepts of the function

f(x)=5x^2-15x-90

What are 

(6,0) and (-3,0)?

200

An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the object's height s at time t seconds after launch is s(t) = –4.9t+ 19.6t + 58.8, where s is in meters.

This is the maximum height of the object.

What is 78.4 meters?

200

This Christopher Nolan film focuses on a group of individuals who dive deep into people's dreams to steal secret information.

What is Inception?

200

A rectangular garden has initial dimensions of 16 feet by 22 feet, but the owner wishes to extend the length and width by the same amount to expand its area.

These are the dimensions of the extended garden that are needed for it to have an area of 520 ft2.

What are 20 feet and 26 feet?

200

These are the simplified solutions of the equation

0=3x^2+6x+1

What is 

x=(-3+-\sqrt(6))/3?

300

These are the roots or x-intercepts of the function

f(x)=-3x^2+48x-189

What are 

(7,0) and (9,0)?

300

An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the object's height s at time t seconds after launch is s(t) = –4.9t+ 19.6t + 58.8, where s is in meters.

This is the amount of time it takes for the object to hit the ground.

What is 6 seconds?

300

This Broadway production focuses on a high school student with social anxiety, "who invents an important role for himself in a tragedy that he did not earn".

What is Dear Evan Hansen?

300

Suppose you have 100 feet of fencing to build a rectangular play pin for your dog. The play pin will be built alongside the outside wall of your house.

This is the quadratic function which represents the area of the play pin.

What is 

A=x(100-2x) or A=-2x^2+100x?

300

These are the simplified solutions of the equation

2x^2+6x=7x+13

What is 

(-1+-\sqrt(105))/4?

400

These are the roots or x-intercepts of the function

f(x)=2x^2+5x-33

What are 

(-11/2,0) and (3,0)?

400

An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the object's height s at time t seconds after launch is s(t) = –4.9t+ 19.6t + 58.8, where s is in meters.

These are the points in time (rounded to the nearest hundredth) where the object has a height of 65 feet.

What are 0.35 seconds and 3.65 seconds?

400

Bruno Mars and ___________ make up the band Silk Sonic.

Who is Anderson Paak?

400

Suppose you have 100 feet of fencing to build a rectangular play pin for your dog. The play pin will be built alongside the outside wall of your house.

This is the maximum area of the play pin.

What is 

A=1250 ft^2?

400

These are the simplified solutions of the equation

-8x^2+3=-3x^2+8x

What is 

x=(-4+-\sqrt(31))/5?

500

These are the roots or x-intercepts of the function

f(x)=-12x^2+57x+15

What are 

(5,0) and (-1/4,0)?

500

An object is launched at 19.6 meters per second (m/s) from a 58.8-meter tall platform. The equation for the object's height s at time t seconds after launch is s(t) = –4.9t+ 19.6t + 58.8, where s is in meters.

This is the amount of time it takes for the object to return to its starting height.

What is 4 seconds?

500

This American novelist wrote Gone with the Wind which won her the Pulitzer Prize for Fiction in 1937.

Who is Margaret Mitchell?

500

Suppose you have 100 feet of fencing to build a rectangular play pin for your dog. The play pin will be built alongside the outside wall of your house.

These are the possible dimensions for the play pin to have an area of 450 ft2.

What is 5 feet by 90 feet or 45 feet by 10 feet?

500

These are the simplified solutions of the equation

3x^2-x=13/2x^2+3x-3

What is 

x=(-4+-\sqrt(58))/7?