Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Quadratic Formula Homework

Total questions: 15

Worksheet time: 2hrs 7mins

Name
Class
Date
1.

Solve using the quadratic formula.

4b2-12b+8=0

a)

(4, 8)

b)

(-1, -2)

c)

(1, 2)

d)

(3, -2)

2.

Solve using the Quadratic formula.

x2+10x+25=0

a)

(-5)

b)

(0)

c)

No Solution

d)

(-5, 0)

3.

Solve using the Quadratic Formula.

4k2+5k+9=0

a)

0

b)

(-9)

c)

Infinite Solutions

d)

No Solution

4.

Solve using the Quadratic Formula.

x2-7x-18=0

a)

No Solution

b)

(2, 9)

c)

(9, -2)

d)

(11, 8)

5.
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
6.
Solve     8x2 - 6x + 1 = 0
a)
No Solution
b)
0 or 1
c)
-0.5 or -0.25
d)
0.25 or 0.5
7.

Use the quadratic formula to find the solutions for

y = -x2 - 5x + 12

a)

No Real Solution

b)
c)
d)
8.
The discriminant is
a)
aX2  + bX  +  c
b)
b - 4ac
c)
b2 - 4ac
d)
b2 + 4ac
9.

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

10.
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
11.
If the discriminant is 0 you will have:
a)
no real solutions
b)
two real solutions
c)
1 real solution
d)
1 imaginary solution
12.

How many real solutions does 2a2 - 5a + 5 = 0 have?

a)

2

b)

1

c)

0

13.

How many real solutions does 3k2 + k - 1 = 0 have?

a)

2

b)

1

c)

0

14.

Solve x2 - 2x - 8 = 0 using the quadratic formula

a)

x = 2 , -3

b)

x = 4 , -2

c)

x = 2 , -4

d)

x = 3 , -2

e)

No Solution

15.

Solve using the Quadratic Formula:

x2 + 4x + 3 = 0

a)

x = 1 and x = 3

b)

x = 6 and x = -2

c)

x = -1 and x = -3

d)

No Solution