Practice Page
Directions: Solve the following questions, using the quadratic formula and the discriminant. It is possible that some of these problems can also be solved by factoring, but for right now, we are practicing the quadratic formula.
1.
Solve using the quadratic formula:
            x2 - 2x - 24 = 0
spy1
       Choose:
 
x = -6; x = 4
x = 4; x = 6
  x = 6; x = -4 x = -4; x = -6

 

 

2.
Which number is the discriminant of a quadratic equation whose roots are real, unequal, and irrational?
ninja2
       Choose:
 
-7
0
 
6
16

 

3.
Solve using the quadratic formula:
            m2 = 20 - 4m
spy2
       Choose:
 
qfm2
qfm2a
  qfm2b qfm2c

 

 

4.
How many real number solutions does
2x2 + 3x + 6 = 0 have?
ninja6
       Choose:
 
one
two
 
zero
infinitely many

 

 

5.
Solve using the quadratic formula:
            x2 + 25 = 0
spy3
       Choose:
 
± 5
+5 only
  ± 5i + 5i only

 

 

6.
The roots of quadratic equation are real, irrational, and unequal. Which choice could be the value of the discriminant?
ninja1
       Choose:
 
-5
0
 
1
3

 

7.
Given y = 16x2 - 8x.
Find all real values of x for which y = -1.
spy4
       Choose:
 
qfmath4bb
qfmath4aa
  qfmath4cc qf4dd

 

 

8.
Which equation has roots that are real, rational, and equal?
ninja7
       Choose:
 
x2 - 3x + 10 = 0
x2 + 6x + 5 = 0
 
x2 + 4x + 4 = 0
x2 + 4x + 5 = 0

 

 

9.
Solve using the quadratic formula:
           3r (3r + 1) = 2
spy5
       Choose:
 
qfmath5a
qfmath5b
  qfmath5c qfmath5d

 

 

10.
If the graph of a parabola, such as
y = ax2 + bx + c, does not intersect the x-axis, which choice is true?
ninja5
       Choose:
 
b2 - 4ac = 0
b2 - 4ac < 0
 
b2 - 4ac > 0
b2 - 4ac < 0



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