Quadratic Word Problems
Authored by Liz Chirico
Mathematics
9th - 12th Grade
CCSS covered
Used 101+ times
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20 questions
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1.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation
s(t) = –16t2 + 64t + 80
What will be the object's maximum height?
2 ft
80 ft
144 ft
64 ft
Tags
CCSS.HSA.REI.B.4
CCSS.HSA.SSE.A.1
CCSS.HSF.IF.B.4
CCSS.HSF.IF.C.7
CCSS.HSA.CED.A.1
2.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
A diver is standing on a platform above the pool. He jumps form the platform with an initial upward velocity of 8 ft/s. Use the formula: h(t) = −16 t2 + 8t + 24
How high is the platform? (Hint: find y-intercept.)
.25 ft
24 ft
25 ft
8 ft
Tags
CCSS.HSA.REI.B.4
CCSS.HSA.SSE.A.1
CCSS.HSA.CED.A.1
3.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
The profit from selling local ballet tickets depends on the ticket price. Using past receipts, we find that the profit can be modeled by the function:
p= -15x2 +600x +60
What is the maximum profit you can make from selling tickets?
(Hint: Take your time looking in your table.)
$6060
$20
$600
$10,250
Tags
CCSS.HSA.REI.B.4
CCSS.HSA.SSE.A.1
CCSS.HSF.IF.B.4
CCSS.HSF.IF.C.7
CCSS.HSA.CED.A.1
4.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
If each mark on the x-axis represents one second, when did the object reach the ground?
2.5 seconds
6 seconds
5.5 seconds
5 seconds
Tags
CCSS.HSA.REI.B.4
CCSS.HSA.CED.A.1
CCSS.HSA.REI.D.10
CCSS.HSA.REI.D.11
5.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
Find the vertex of y = -x2 - 4x + 12.
Remember to use your table!
(-2, 16)
(-2, 14)
(2, 4)
(-2, 4)
Tags
CCSS.HSA.REI.B.4
CCSS.HSF.IF.B.4
CCSS.HSF.IF.C.7
CCSS.HSA.REI.D.10
6.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
h = -16t2 + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?
Tags
CCSS.HSA.REI.B.4
CCSS.HSF.IF.B.4
7.
MULTIPLE CHOICE QUESTION
10 mins • 1 pt
1
3
48
64
72
Tags
CCSS.HSA.REI.B.4
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