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Worksheets

Quadratic Formula

Total questions: 19

Worksheet time: 13mins

Name
Class
Date
1.

Which of the following is used to find the discriminant?

a)

the quadratic formula

b)

b2 + 4ac

c)

b2 - 4ac

d)

the square root of b2 - 4ac

e)

the square root of b2 + 4ac

2.

If the discriminant is a negative number, then you will have

a)

one real solution

b)

two real solutions

c)

no real solutions

d)

infinite solutions

3.
If the discriminant is a positive number, then you will have
a)
one real solution
b)
two real solutions
c)
no real solutions
d)
one imaginary solution
4.
If the discriminant is 0 you will have:
a)
no real solutions
b)
two real solutions
c)
1 real solution
d)
1 imaginary solution
5.
Is the discriminant positive, negative, or zero?
a)
Positive
b)
Negative
c)
Zero
d)
Not sure
6.
Is the discriminant positive, negative, or zero?
a)
Positive
b)
Negative
c)
Zero
d)
Not sure
7.

Is the discriminant positive, negative, or zero?

a)

Negative

b)

Positive

c)

Zero

d)

Can't tell

8.
Determine the values of
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
9.

For the following quadratic equation, what is the value of c ?


x2 - 7x + 2 = 15

a)

2

b)

15

c)

-13

d)

17

10.

For the following quadratic equation, what is the value of a ?


x2 - 7x + 2 = 15

a)

0

b)

x2

c)

-7

d)

1

11.

For the following quadratic equation, what is the value of b ?


5x2 - 11 = 0

a)

5

b)

0

c)

11

d)

-11

e)

1

12.

What is the discriminant of -2x2 − x − 1 = 0

a)

76

b)

-7

c)

9

d)

none of these

13.

What is the discriminant of 6x2 − 2x − 3 = 0

a)

76

b)

29

c)

68

d)

none of these

14.

What is the discriminant of -x2 − 2x - 1 = 0

a)

8

b)

1

c)

-1

d)

0

15.

A function has a discriminant of 25.

______________

How many solutions does it have?

a)

0

b)

1

c)

2

d)

Infinite

16.

A function has a discriminant of -25.

______________

How many solutions does it have?

a)

0

b)

1

c)

2

d)

infinite

17.

A function has a discriminant of 0.

______________

How many solutions does it have?

a)

0

b)

1

c)

2

d)

infinite

18.
a)
A
b)
B
c)
C
d)
D
19.
a)
A
b)
B
c)
C
d)
D