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Algebra II Chapter 9 Quiz- Quadratic Equations

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Solve by factoring:
mc001-1.jpg
a.
–9, –6
d.
–9, 6
b.
9, 6
e.
The equation cannot be factored. It is prime.
c.
9, –6
 

 2. 

Solve by factoring:mc002-1.jpg
a.
4
d.
–4, 4
b.
-4
e.
0, –4
c.
0, 4
 

 3. 

Write a quadratic equation that has integer coefficients and has solutions 11 and 0.
a.
mc003-1.jpg
d.
mc003-4.jpg
b.
mc003-2.jpg
e.
None of the above
c.
mc003-3.jpg
 

 4. 

Solve by taking square roots:mc004-1.jpg
a.
0, 5
d.
–5
b.
5
e.
–5i, 5i
c.
–5, 5
 

 5. 

Solve by using the quadratic formula: mc005-1.jpg Approximate the solution to the nearest thousandth.
a.
1.295, –0.129
d.
0.129, –1.295
b.
–0.167, –1.000
e.
0.257, –2.591
c.
–0.772, 7.772
 

 6. 

Use the discriminant to determine whether the quadratic equation below has one real number solution, two real number solutions, or two complex number solutions.
a.
Two complex
c.
One real
b.
Two real
 

 7. 

Solve the following equation:mc007-1.jpg
a.
144
d.
Both A and B
b.
145
e.
Both B and C
c.
143
 

 8. 

A rectangular corral is constructed in a pasture.  The length, l, of the rectangle is 8 feet more than twice the width, w.  The area of the rectangle is to be 960 square feet.  What are the length and width of the rectangle?
a.
l = 52 feet; w = 22 feet
d.
l = 48 feet; w = 20 feet
b.
l = 44 feet; w = 18 feet
e.
l = 40 feet; w = 16 feet
c.
l = 56 feet; w = 24 feet
 

 9. 

The vertex of a parabola that opens up is (–6, –5).  Does the function have a maximum or a minimum value?  What is the maximum or minimum value of the function?
a.
Maximum value:  –5
d.
Minimum value:  –6
b.
Minimum value:  –5
e.
Minimum value:  6
c.
Maximum value:  –6
 

 10. 

A tour operator belives the profit P, in dollars, from selling mc010-1.jpg tickets is given by mc010-2.jpg Using this model, what is the maximum profit the tour operator can expect?
a.
$140
d.
$3920
b.
$3928
e.
$3930
c.
$11,760
 



 
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