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Quadratic Formula and Discriminant

Total questions: 10

Worksheet time: 32mins

Name
Class
Date
1.
The discriminant is
a)
aX2  + bX  +  c
b)
b - 4ac
c)
b2 - 4ac
d)
b2 + 4ac
2.

What does the discriminant tell us?

a)

The maximum or minimum

b)

The y-intercept

c)

The number and type of solutions

d)

The axis of symmetry

3.

A function has a discriminant of 0.


How many x-intercepts does it have?

a)

0

b)

1

c)

2

d)

5

4.

Use the discriminant to determine the number of solutions 4x2 + 4x + 1 = 0 has?

a)

0

b)

1

c)

2

d)

More than 2

5.
Use the quadratic formula to solve 2x2 + 2x - 12?
a)
-2, 3
b)
2, 3
c)
2, -3
d)
-2, -3
6.

If the discriminant is negative, you will have....

a)

two real solutions

b)

two irrational solutions

c)

no solution

d)

one solution

7.

Use the discriminant to determine the number of solutions the following quadratic equation has.

-2x2 − x − 1 = 0

a)

76 Two Solutions

b)

-7 No Solutions

c)

9 Two Solutions

d)

0 One Solution

8.

Use the discriminant to determine the number of solutions the following quadratic equation has.

6x2 − 2x − 3 = 0

a)

76 Two Solutions

b)

29 Two Solutions

c)

68 Two Solutions

d)

none of these

9.

What is the discriminant and how many solutions would this quadratic have?

4x2 + 6x - 4 = 0

a)

-28, No Solutions

b)

28, 2 Solutions

c)

100, 2 Solutions

d)

-100, No Solutions

10.
Solve using the quadratic formula.
2x2 - 9x - 35 = 0
a)
x = 7/2, x = -6
b)
x = -5/2, x =5
c)
x = -3/7, x =6
d)
x = -5/2, x = 7