Practice Page
Directions: Read carefully and choose the best answer.
1.
The roots of a quadratic equation may be
ninja1
       Choose:
 
rational and equal
 
imaginary and equal
 
irrational and equal
 
all of the above



2.
Which equation has imaginary roots?
ninja2
       Choose:
 
x2 - 1 = 0
x2 + 2x + 1 = 0
 
x2 - x + 1 = 0
x2 - 9 = 0

 

3.
Given the equation x2 + 3x - 9 = 0. What is the product of the roots?
ninja3
       Choose:
 
9
-9
 
3
-3



4.
Which equation has real, rational roots that are equal roots?
ninja4
       Choose:
 
x2 - 1 = 0
x2 + 2x + 1 = 0
 
x2 - x + 1 = 0
x2 + x + 1 = 0



5.
What is the sum of the roots of the equation
2x2 - 3x + 9 = 0?
ninja5
       Choose:
 
3/2
2
 
2/3
1/2



6.
The roots of the equation x2 - 3x - 2 = 0
ninja6
       Choose:
 
are real, rational, and equal.
 
are real, rational, and unequal.
 
are real, irrational, and unequal.
 
are imaginary.



7.
Which of the following could not be the roots of a quadratic equation?
ninja7
       Choose:
 
{4,5}
{3}
 
{2i, -2i}
{3 + 4i, -3 - 4i}



8.
Which quadratic equation has roots 6i and -6i ?
ninja8
       Choose:
 
x2 - 36 = 0
x2 + 12x + 36 = 0
 
x2 + 36 = 0
x2 - 12x - 36 = 0



9.
If one of the roots of the equation
x2 - 6x + k = 0 is 4, what is the other root?
ninja9
       Choose:
 
6
2
 
3
-10



10.
Which equation has imaginary roots?
ninja10
     Choose:
 
x(5 + x) = 8
x(5 - x) = -3
  x(x + 6) = -10 (2x + 1)(x - 3) = 7




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