
Solving Real-World Problems with Quadratic Equations
Authored by Anthony Clark
English, Mathematics
9th Grade

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10 questions
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1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A ball is thrown upwards from a height of 2 meters with an initial velocity of 10 meters per second. The height of the ball after t seconds is given by the equation h(t) = -5t^2 + 10t + 2. How long will it take for the ball to hit the ground?
2.50 seconds
3.74 seconds
5.00 seconds
4.20 seconds
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular garden has a length that is 3 meters longer than its width. If the area of the garden is 70 square meters, what are the dimensions of the garden?
Width: 8 meters, Length: 11 meters
Width: 6 meters, Length: 9 meters
Width: 5 meters, Length: 8 meters
Width: 7 meters, Length: 10 meters
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A car's distance from a starting point is modeled by the equation d(t) = -4t^2 + 20t, where d is in meters and t is in seconds. How long will it take for the car to stop moving?
4 seconds
1.5 seconds
3 seconds
2.5 seconds
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The path of a projectile is modeled by the equation h(t) = -4.9t^2 + 20t + 5, where h is the height in meters and t is the time in seconds. At what time will the projectile reach its maximum height?
1.50 seconds
3.00 seconds
4.10 seconds
2.04 seconds
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular swimming pool has a length that is twice its width. If the area of the pool is 200 square meters, what are the dimensions of the pool?
Width: 8 meters, Length: 16 meters
Width: 15 meters, Length: 30 meters
Width: 5 meters, Length: 10 meters
Width: 10 meters, Length: 20 meters
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A company finds that the profit P (in dollars) from selling x items is given by the equation P(x) = -2x^2 + 40x - 100. How many items should the company sell to maximize its profit?
20
5
15
10
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A farmer wants to create a rectangular field with a fixed perimeter of 100 meters. What dimensions will maximize the area of the field?
10 meters by 40 meters
25 meters by 25 meters
15 meters by 35 meters
20 meters by 30 meters
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