Word Problems
Factoring
Solving Quadratic Equations
Other
Miscellaneous
100
At a festival, pumpkins are launched with large catapults and air cannons. On one launch, the height of a pumpkin in metres above the ground after t seconds is modelled by h=40+120t-16t2
From what height was the pumpkin launched?
40 metres
100
Factor the following Quadratic Equation
x2+7x+10=0
(x+5)(x+2)
100
2x2 = 512
x = ± 16
100
What are the x intercepts of the following equation?
y = x2 + 4x + 5
x = -1 and x = -4
100
Simplify: (2x - 8)(5x + 5)
10x2 -30x - 40
200
At a festival, pumpkins are launched with large catapults and air cannons. On one launch, the height of a pumpkin in meters above the ground after t seconds is modeled by h=35+18t-t2
How long was the pumpkin in the air?
19.296 seconds
200
Factor the following quadratic equation
x2-8x+15=0
(x-5)(x-3)
200
x2 - 13 = 156
x = ± 13
200
What is the y - intercept for the following equation?
y = (x + 3) (x-6)
y = -18
200
What are the 3 words that mean the same thing as an x intercept?
Root, solution, zero
300
A flare is launched up with an initial velocity of 64m/s from the top of a 200 metre building. The equation h(t)=-16t2+16t+96 models this situation. Determine the maximum height of the flare and the time it takes to reach that maximum.
100 metres / 0.5 seconds
300
Factor the following quadratic equation. Then find the x intercepts
x2+4x+4=0
(x+2)2 / x = -2
300
(x-6)2 = 121
x = 17 and x = - 5
300
What are the coordinates of the vertex, x intercepts, and y intercepts?
Vertex: (0.5, -2.2)
x intercept: -1 and 2
y intercept: -2
300
Which of these equations is growing at a faster rate (as x gets bigger, y is bigger)? Why?
y =15x2 + 80
y = 15x
y = 15x because exponential equations grow faster than quadratics
400
A flare is launched up with an initial velocity of 64m/s from the top of a 200 metre building. The equation h(t)=-16t2+16t+96 models this situation. What is the height of the flare at 1.5 seconds (No Desmos)?
-16(1.5)2 + 16(1.5) + 96 = 84 metres
400
Factor the following quadratic equation
7x2 -17x-12
(7x+4)(x-3)
400
(x + 5)2 + 12 = 244
x = 10.3 and x = -20.3
400
Solve for x
2x2 - 9x - 8 = 10
x = -3/2 and x = 6
400
The starting height of an object is where on the graph?
The y - intercept
500
At a swim meet, Janet dives from a diving board that is 20 metres high. Her position above the water is represented by the equation y=4x2-3x-10, where x represents the time in seconds and y represents the height above the water. After how many seconds does Janet enter the water?
2 seconds
500
Factor the following quadratic equation
3x2 + 23x + 40 = 0
Then solve for the x intercepts
(3x+8)(x+5) / x = -5 and x = -8/3
500
Solve the following quadratic equation
3x2 - 5x + 8 = 2x2 - 5x + 33
x = ± 5
500
Is this sequence arithmetic or geometric?
12, 24, 48...
geometric
500
What is the value of the smaller zero of the function f(x)= 2x2 - 8x + 24
x = -2