Solve the Quadratic
Key Points of a Quadratic
Random
Square Root Law
Discriminant
Fun One's
100
Solve: b2 + 8b + 7
b = -1 and b = -7
100
Thinking of a Quadratic drawn on a graph, as a projectile is flying through the air, it eventually lands on the ground. What part of the graph are we interested in finding as it pertains to the ground?
A) X-Int
B) Y-Int
C) Vertex
D) Axis of Symmetry
A) X-Int
100
What do we call the highest or lowest spot of a quadratic graph?
Vertex
100
Solve this equation by taking square roots.
x2 - 81 = 0
x = 9 and x = -9
100
Find the value of the Discriminant:
x2 + 5x + 2 = 0
17
100
The XBOX and Playstation gaming systems are some of the most popular consoles around the world. What year did the XBOX and Playstation consoles first release? (Answers choices are listed by XBOX year is first, Playstation year is 2nd)
A) 1996 & 1990
B) 1999 & 1992
C) 2001 & 1994
D) 2005 & 1999
C) 2001 & 1994
200
Solve: m2 + m − 90
m = 9 and m = -10
200
Thinking of a Quadratic drawn on a graph, as a projectile is flying through the air, it eventually reaches a Maximum Height. What part of the graph are we interested in finding as it pertains to the Maximum Height?
A) X-Int
B) Y-Int
C) Vertex
D) Axis of Symmetry
C) Vertex
200
What is the general equation of a Quadratic in Standard Form? In other words, what should the equation look like when we want to properly label what A, B, and C are?
Ax2 + Bx + C = 0
or
y = Ax2 + Bx + C
200
Solve this equation by taking square roots.
x2 -121 = 0
x =11 and x =-11
200
Find the value of the Discriminant:
2x2 + 5x - 4 = 0
57
200
According to a recent survey, what is the most popular clothing brand that teenagers preferred to buy and wear?
A) Adidas
B) American Eagle
C) Hollister
D) Nike
E) Urban Outfitters
300
Solve: x2 + 2x = 3
x = -3 and x = 1
300
Thinking of a Quadratic drawn on a graph, as a projectile is flying through the air, it eventually reaches maximum height after a certain amount of time. What part of the graph are we interested in finding as it pertains to the time it takes to reach maximum height?
A) X-Int
B) Y-Int
C) Vertex
D) Axis of Symmetry
D) Axis of Symmetry
300
What are the solution(s) to the Quadratic?
None. There are no X-Intercepts for this graph
300
Solve this equation by taking square roots.
x2 + 1 = 26
x = 5 and x = -5
300
Using the Discriminant for the following equation, how many solutions (or, X-Intercepts) will the quadratic have?
9x2 + 6x + 6 = 5
One Solution (or One X-Intercept)
300
Did you know this about the Mario Kart franchise!? Game developers added the "Blue Shell" into the game during the Nintendo 64 era, but what was the primary reason?
A) To prevent the game from lagging
B) To cause chaos among friends
C) To stop cheaters from ruining the game
D) To help your friend(s) earn a 1st place finish if you couldn't earn it yourself
A) To prevent the game from lagging
400
Solve: 6x2 - x = 2
x = 2/3 and x = -1/2
400
Thinking of a Quadratic drawn on a graph, as a projectile is flying through the air, it had to begin its flight at a Starting Height. What part of the graph are we interested in finding as it pertains to the Starting Height?
A) X-Int
B) Y-Int
C) Vertex
D) Axis of Symmetry
B) Y-Int
400
When graphing a quadratic, which of the following parts of a Quadratic always share the same x-coordinate? (Select 2 choices)
A) Axis of Symmetry
B) X-Intercept
C) Vertex
D) Y-Intercept
A and C
Axis of Symmetry and Vertex
400
Solve this equation by taking square roots.
(x-4)2 - 16 = 0
x = 0 or x = 8
400
Using the Discriminant for the following equation, how many solutions (or, X-Intercepts) will the quadratic have?
-9x2 = -8x + 8
No Solutions (or, No X-Intercepts)
400
Dude Perfect is one of the most popular YouTube Channels in America. Aside from their trick shot and Overtime segments, Dude Perfect have a long list of "Stereotype" videos they've compiled over the years. How many different "Stereotypes" have they covered (as of April 2023)?
A) 12
B) 26
C) 44
D) 72
B) 26
500
Solve: x2 - 8x + 14 = 0
x = 4 ± √ 2
or
x = 2.59 and x = 5.41
500
When an object flies through the air, gravity is constantly pulling it back to the earth. When we write the equation in standard form, gravity is represented by the letter 'A'.
Question 1: What do 'B' and 'C' represent?
Question 2: What number do we always use to represent gravity in the equation (in the units ft. / second)?
Question 1: B = Velocity / speed, C = Y-intercept / Starting Height
Question 2: Gravity is always -16
500
What does this quadratic look like when fully factored? [Sample answer: (x + 2) (2x + 7) ]
16x2 - 180x - 250 = 0
*Start by dividing the whole equation by something they all have in common to make your life easier*
2 (2x - 25) (4x + 5)
500
Solve this equation by taking square roots.
(x+7)2 - 16 = 0
x = -3 and x = -11
500
You must answer all 3 parts to be awarded points. Based on the discriminant alone, and the solution you get from doing the math:
1) How do you know when the graph of the quadratic will cross the X-Axis twice?
2) How do you know when the graph of the quadratic will cross/touch the X-Axis once?
3) How do you know when the graph of the quadratic will NOT cross the X-Axis at all?
1) When the discriminant is a positive number.
2) When the discriminant is zero.
3) When the discriminant is a negative number.
500
Rank the following Disney Movies in order from OLDEST RELEASE DATE to NEWEST RELEASE DATE:
- Toy Story 3
- Incredibles 2
- Cars 1
- Big Hero 6
OLDEST to NEWEST:
1) Cars 1 (June 9th, 2006)
2) Toy Story 3 (June 18th, 2010)
3) Big Hero 6 (November 7th, 2014)
4) Incredibles 2 (June 15th, 2018)
Source: https://en.wikipedia.org/wiki/List_of_Disney_theatrical_animated_feature_films