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Unit 3B Review Quadratic Applications

Total questions: 15

Worksheet time: 1hrs 16mins

Name
Class
Date
1.

What is the starting height of a ball that follows the path y = -16x2 + 8x + 5 ?

a)

8 ft

b)

5 ft

c)

Not enough information

d)

4 ft

2.
A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t+ 90t gives the height h of the ball after t seconds.
What is the maximum height of the ball?
a)
126.56 ft
b)
5.625 sec
c)
2.81 sec
d)
90 ft
3.
A soccer ball is kicked from the ground with an initial upward velocity of 90 feet per second. The equation h=-16t+ 90t gives the height h of the ball after t seconds.
How many seconds will it take the ball to hit the ground?
a)
126.56 ft
b)
5.625 sec
c)
2.81 sec
d)
0 ft
4.
If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation
h(t) = -16t2 +128t  
When will the object reach its maximum height?
a)
4 ft
b)
0 seconds
c)
0 ft
d)
4 seconds
5.

Based on the table, which function can best be used to model this situation?

a)

h(t) = 99t2 + 858

b)

h(t) = -4.9t2 + 295t + 0.6

c)

h(t) = -4.9t2 + 295t + 2

d)

h(t) = 99t2 + 1,470.3

6.
Find the best fitting quadratic model for the data given.
a)
1.2x2 + 13x + 504.3
b)
12x2 + 13x + 504.3
c)
.12x2 + 1.3x + 504.3
7.

Given the set of data, estimate what the value of y will be when x = 14. Round your answer to the nearest tenth.

a)

340

b)

200.5

c)

343.4

d)

433.2

8.
The discriminant is
a)
aX2  + bX  +  c
b)
b - 4ac
c)
b2 - 4ac
d)
b2 + 4ac
9.
____________
For the function above, is the discriminant positive, negative, or zero?
a)
Positive
b)
Negative
c)
Zero
d)
Not Sure
10.
____________
For the function above, is the discriminant positive, negative, or zero?
a)
Positive
b)
Negative
c)
Zero
d)
Not Sure
11.

For the function below, is the discriminant positive, negative, or zero?

___________

y = x² + 4x + 4

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

12.

What is the discriminant of -2x2 − x − 1 = 0

a)

76

b)

-7

c)

9

d)

none of these

13.

If the discriminant is positive, then the solution will be

a)

one real solution

b)

two real solutions

c)

no real solutions

d)

one imaginary solution

14.

Which of the following represents the first step in solving:

y = x2 + 3x - 5

y = x + 3

a)

x2 - 3x + 5 = x - 3

b)

x2 + 3x - 5 = x + 3

c)

x2 + 3x - 5 + x + 3 = 0

d)

x2 + 3x - 5 = 0

15.
What are the solutions to the system:
y = x2 + 3x - 5
y = x + 3
a)
(-4, 2) and (-1, 5)
b)
(-4, -1) and (2, 5)
c)
(2, -1 and (-4, 5)
d)
(-4, 1) and (2, -1)