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Solving Quadratics.
Kristin Tryan
Created on February 18, 2025
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Transcript
an algebra adventure
The
of
Stones
al-Khwarizmi
Start game
Story
© 2025 A game by Mrs. Tryan
Muhammad ibn Musa al-Khwarizmi was a great mathematician in ancient Persia. Legend tells of a magical sword that is powered by four Elemental Gems designed and forged by al-Khwarizmi himself. This sword was rumored to be all powerful. However, all four stones have been lost over the course of history. Now, the kingdom of Numeria has fallen under attack by the wicked dragon Diophantus. The ruler of Numeria, the wise elder Mathemagician, has summoned you, desperate for your help...
Start game
Thank goodness you’ve come! We need your help! You need to find the 4 stones of al-Khwarizmi so that the sword has enough power and then defeat the fearsome dragon that is terrorizing our people…
I am too old and frail to go on the quest myself. We need a great mathematician like you to help us! Will you go?
Of course!
No thank you, I’ll pass
Oh dear! I thought you were destined for greatness ... What will become of us!
I changed my mind. Of course I will help you!
I knew you would not fail me! All of Numeria is so grateful! Here is the sacred sword. Now gather the stones of al-Khwarizmi to power it and defeat the dragon.
LEVEL 1 - EARTH stone
EARTH Stone
Watch out, a wandering skeleton is in your way! Get the earth stone by passing a quiz...
Start level
Where do you think you’re going, mortal?! You won’t be worthy of the Earth Stone until you get all my questions correct. Do you dare to try?
A quadratic function has been factored and now reads (x-2)(x+6)=0. What are the solutions to the function?
x = -2 and x = 6
x = 2 and x = -6
Find the solutions to the following quadratic equation: x2 + 2x - 24 = 0
x = -1 and x = 24
x = 8 and x = -3
x = 2 and x = -12
x = -6 and x = 4
For the function 2x2 -4x +6 = 0, what is the value of b?
b = 0
b = 6
b = 2
b = -4
Which of these functions is ready to have the quadratic formula applied?
4x = 3 - 5x2
x2 - 6x + 20 = 0
2x2 - 4x = 15
-4x2 + 20 - 3x = 0
If a quadratic function's discriminant is negative, how many solutions does it have?
Two real solutions
Infinite solutions
No real solutions
One real solution
Congratulations!! Here is your reward, you have earned it!Wield it well, great scholar...
Are you sure you're worthy to wield al-Khwarizmi's stones? A mistake like that could cost you your life later in the quest! Take your time and avoid mistakes at all costs...
I'm sorry! Please give me another chance!
LEVEL 2 - AIR stone
AIR stone
Choose the correct image to get out of the room alive and get the next stone.
Start level
Which of quadratic functions has a discriminant equal to zero?
Which of these graphs has a discriminant that is positive?
Which of these shows the Quadratic Formula?
Which part of the quadratic formula shows the discriminant?
Which of these graphs has a discriminant that is negative?
You got the Air Gem!
GAME OVER
Try Again
Exit
LEVEL 3 - WATER stone
WATER stone
Click and drag the white light to find the correct answer
Start level
Drag the flashlight to reveal the answer choices
-24
28
64
What is the discriminant for the quadratic function shown below?
-10
10
For the quadratic function shown below. what is the value of c?
-244
-116
What is the discriminant for the quadratic shown helow?
-24
27
What is the discriminant for the quadratic function shown below?
And now look for the stone! Hurry up!
You got the Water Stone!
GAME OVER
Try Again
Exit
LEVEL 4 - FIRE GEM
FIRE stone
Choose the correct answer for each question. This is the final stone needed for the sword!
Start level
Which of these IS a solution to the quadratic shown?
x = -4
x = -6
x = -2
A quadratic function has been factored and now reads (x-10)(x-2) = 0. What are the solutions to the quadratic?
x = 5 and x = -5
x = 10 and x = 2
x = -10 and x = -2
Identify the values of a, b, and c for the given function.
a = 2, b = -3, c = -5
a = 2, b = 3, c = 5
a = 2, b = 5, c = -3
What method of solving ALWAYS works for finding the answer to a quadratic?
Taking the Square Root
Factoring
Quadratic Formula
Solve the quadratic using a method of your choice.
x = 81
x = 6 and x = -4
x = 3 and x = 2
No real solution
x = 64
x = 9 and x = -9
x = 4 and x = -6
x = -3 and x = -2
You got the Fire Gem!
GAME OVER
Try Again
Exit
FINAL LEVEL - DRAGON
Defeat the dragon!