Solve using Factoring
Word Problems
Vocabulary
Solve using the Quadratic Formula
Quadratic or Something Else?
100
Use the Zero Product Property to solve the following quadratic equation.
(x - 7)(x + 2) = 0
x = 7 x = -2
100
Two times a number plus the square of that number is equal to 35. Find the number (algebraically).
The could be 5 or -7.
100
Name this graph.
Parabola
100
What is the quadratic formula?
x = -b +- sqrt(b2 - 4ac) /(2a)
100
Quadratic or Something Else?
Quadratic
(because the graph makes a U shape parabola)
200
Solve the following quadratic equation by factoring. x2+3x+2 = 0
x = -2 x = -1
200
The length of a rectangle is 2 ft longer than the width. The area of the rectangle is 15 ft2. What is the width of the rectangle?
The width of the rectangle is 3ft.
200
What is the vocabulary word for this point, which happens to be the lowest point on the graph?
Vertex
200
Solve the following quadratic equation by using the quadratic formula:
x2 + 6x + 5 = 0
x = -1 or x = -5
200
Quadratic or Something Else?
Something else
(because you need the x to be squared not the 3.
32 is just a 9 in disguise).
300
Solve the following quadratic equation by factoring. x2 - 6x + 5 = 0
x = 5
x = 1
300
Six less than the square of a number is equal to 5 times the number. What is the negative number?
The negative solution is -1.
300
What is the vocabulary word for this point, which happens to be the maximum point on the graph?
Vertex
300
Solve the following quadratic equation by using the quadratic formula:
x2 - 9x + 20 = 0
x = 5 or x = 4
300
Quadratic or Something Else?
Context: A basketball being shot from mid-court.
Quadratic
400
Solve the following quadratic equation by factoring. x2 - 6x - 27 = 0
x = 9
x = -3
400
The length of a rectangle is three more than twice the width. The area of the rectangle is 65 cm2. What are the dimensions of the rectangle?
The dimensions of the rectangle are 5cm by 13cm.
400
What is the vocabulary phrase for the vertical line that passes through the vertex of the graph (the blue line in the image below)?
The axis of symmetry
400
Solve the following quadratic equation by using the quadratic formula:
2x2 + 9x + 4 = 0
x = -1/2 or x = -4
400
Quadratic or Something Else?
Data: 
Quadratic
(because the 2nd differences of the y-values is constant or perhaps you noticed that if you square the x-values you get the y-values)
500
Solve the following quadratic equation by factoring. 2x2 - 5x - 3 = 0
x = -1/2
x = 3
500
A rocket is launched from a roof that is 9,888 ft about the ground with an initial velocity of 48 ft per second. After how many seconds will the rocket land?
The formula used to set up this equation is
h=-16t2+v0t+h0
where h = height, t=time, v0=initial velocity and h0=initial height
The rocket will land after 6 seconds.
500
The type of equations we are studying in this unit.
Quadratics
500
Solve the following quadratic equation by using the quadratic formula:
4x2 - 17x - 15 = 0
x = 5 or x = -3/4
500
Quadratic or Something Else?
Video
(unfortunately I can not insert a video here without buying a membership to the Jeopardy Labs site so.....go to our Google Classroom and watch the video posted in our Stream titled "Jeopardy Video Quadratics or Something Else for 500")
Quadratic