WorksheetsQuadratic Equations and the Discriminant
Total questions: 10
Worksheet time: 10mins
Name
Class
Date
1.
The discriminant is
a)
aX2 + bX + c
b)
b - 4ac
c)
b2 - 4ac
d)
b2 + 4ac
2.
Determine the values of
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a, b, and c for
the quadratic equation:
4x2 – 8x = 3
a)
a = 4, b = -8, c = 3
b)
a = 4, b =-8, c =-3
c)
a = 4, b = 8, c = 3
d)
a = 4, b = 8, c = -3
3.
How many solutions are there if the discriminant is positive.
a)
0
b)
1
c)
2
d)
Infinite
4.
How many solutions will the equation have?
x2 - 6x + 9 = 0
a)
Two Solutions
b)
One Solution
c)
No Real Solutions
d)
One Million Solutions!!!
5.
How many solutions will the equation have?
3x2 - 5x + 2 = 0
a)
Two Solutions
b)
One Solution
c)
No Real Solutions
d)
One Million Solutions!!!
6.
How many solutions will the equation have?
9x2 - 5x + 1 = 0
a)
Two Solutions
b)
One Solution
c)
No Real Solutions
d)
One Million Solutions!!!
7.
Solve
2x2 + 7x - 15 = 0
2x2 + 7x - 15 = 0
a)
-1.5 or 5
b)
No Solution
c)
-5 or 1.5
d)
0.7 or 5
8.
Use the quadratic formula to find the solutions for
0 = -x2 - 5x + 12
a)
-4.9 and -0.1
b)
-8.54 and 8.54
c)
-0.45 and 3.55
d)
-6.77 and 1.77
9.
What must be added to complete the square x2 + 2x
a)
0
b)
1
c)
2
d)
4
10.
What must be added to complete the square x2 + 5x
a)
5
b)
25
c)
25/2
d)
25/4
100 %
