Real-World Quadratic Problems: Apply the Formula

Quiz
•
English, Mathematics
•
9th Grade
•
Hard
Anthony Clark
FREE Resource
10 questions
Show all answers
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?
4.20 seconds
5.00 seconds
3.74 seconds
2.50 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: 7 meters, Length: 10 meters
Width: 5 meters, Length: 8 meters
3.
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?
10
20
15
5
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?
2.04 seconds
1.50 seconds
4.10 seconds
3.00 seconds
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A car's distance from a starting point is modeled by the equation d(t) = 3t^2 - 12t + 15, where d is the distance in meters and t is the time in seconds. When will the car be at rest?
3 seconds
4 seconds
1 second
2 seconds
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
A rectangular swimming pool has a length that is 4 meters longer than its width. If the area of the pool is 96 square meters, what are the dimensions of the pool?
Width: 10 meters, Length: 14 meters
Width: 5 meters, Length: 9 meters
Width: 8 meters, Length: 12 meters
Width: 6 meters, Length: 10 meters
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
The height of a water fountain is modeled by the equation h(t) = -3t^2 + 12t + 1. How long will it take for the fountain to reach a height of 10 meters?
1 second and 5 seconds
0 seconds and 5 seconds
2 seconds and 4 seconds
1 seconds and 3 seconds
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