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Assessment on Quadratics

Total questions: 16

Worksheet time: 1hrs 23mins

Name
Class
Date
1.
What is the vertex?
a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
2.
Does this graph have a maximum or minimum value?
a)
maximum
b)
minimum
c)
neither
d)
both
3.
Use the graph to determine the solutions.
*Hint: Solutions = roots = zeros = x-intercepts
a)
-1 and -3
b)
1 and -3
c)
1 and 3
d)
-1 and 3
4.
How many solutions does this graph have?
a)
one
b)
two
c)
no solutions
d)
cannot be determined
5.

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

6.

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

___________

y = x² + 4x + 4

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

7.
Complete the square for
x2 + 12x + ____
a)
x2 + 12x + 144
b)
x2 + 12x + 36
c)
x2 + 12x - 36
d)
x2 + +12x - 144
8.

Given the perfect square trinomial, identify the equivalent expression


x2-18x+81

a)

(x-18)2

b)

(x-9)2

c)

(x+81)2

d)

(x+9)2

9.
Complete the Square
x2 + 6x = 5
a)
(x + 3)2 = 5
b)
(x + 6)2 = 9
c)
(x + 3)2 = 14
d)
(x + 6)2 = 14
10.

Solve by taking the square root:

4x2 = 100

a)

±10

b)

±25

c)

±5

d)

5

11.
Solve by factoring
p2 + 12p + 35 = 0
a)
{-7, 5}
b)
{-9, -5}
c)
{-7, 0}
d)
{-7, -5}
12.

The height of an object thrown into the air can be modeled by the formula  y=−16x2+70x+95y=-16x^2+70x+95  
 , where y is in feet after x seconds.
What is the initial height of the object?

a)

70 feet

b)

95 feet

c)

149 feet

d)

-16 feet

13.

 h=−16t2+64t+960h=-16t^2+64t+960  

A ball is thrown into the air with an upward velocity of 64 ft/s. Its height, h, after t seconds is given by the function above.
When did the ball hit the ground?

a)

10 seconds

b)

2 seconds

c)

5 seconds

d)

7 seconds

14.

A ball is thrown into the air with an upward velocity. Its height, h, after t seconds is given by the function below.
h=−16t2+64t+960h=-16t^2+64t+960
What is the maximum height reached?

a)

1024 feet

b)

64 feet

c)

960 feet

d)

2 feet

15.
The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph? 
a)
The ball was kicked from 500 centimeters from the ground and it traveled for 4 seconds.
b)
The ball was kicked from the ground and it was in the air for 4 seconds. 
c)
The ball had a maximum height of 2000 centimeters and it was in the air for a total of 2 seconds. 
d)
The ball had a maximum height of 1000 centimeters and it was in the air for 4 seconds. 
16.

Solve by factoring.

b2 + 2b - 24 = 0 (hint: find the zeros) FACTOR!

a)

x = 6 or x = -4

b)

x = -6 or x = -4

c)

x = 6 or x = 4

d)

x = -6 or x = 4