wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Quadratic Formula

Total questions: 10

Worksheet time: 24mins

Name
Class
Date
1.

If the discriminant equals zero, the quadratic has how many solutions?

a)

2 real

b)

2 complex

c)

1 real

d)

1 complex

e)

0 real

2.

The formula for the discriminant is

a)

b24ac\sqrt{b^2-4ac}

b)

b24acb^2-4ac

c)

b±b24ac-b\pm\sqrt{b^2-4ac}

d)

(b±b24ac )2a\frac{\left(-b\pm\sqrt{b^2-4ac\ }\right)}{2a}

e)

None of these

3.

The Quadratic Formula is

a)

b24ac\sqrt{b^2-4ac}

b)

b24acb^2-4ac

c)

b±b24ac-b\pm\sqrt{b^2-4ac}

d)

(b±b24ac )2a\frac{\left(-b\pm\sqrt{b^2-4ac\ }\right)}{2a}

e)

None of these

4.

If the discriminant equals +35, the quadratic has how many solutions?

a)

2 real

b)

2 complex

c)

1 real

d)

1 complex

e)

0 real

5.

If the discriminant equals -72, the quadratic has how many solutions?

a)

2 real

b)

2 complex

c)

1 real

d)

1 complex

e)

0 real

6.

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

7.

The discriminant for  2x23x9=02x^2-3x-9=0  is

a)

-63

b)

-81

c)

63

d)

81

e)

None of these

8.

Use the quadratic formula to find the solutions for
 x25x+12=0-x^2-5x+12=0  

a)

No Real Solution

b)
c)
d)
9.

Solve using the quadratic formula...
 9x27x=49x^2-7x=4  

a)
b)
c)
d)

No solution

10.

Find the positive solution to  3x24x=73x^2-4x=7  using the Quadratic Formula

a)

0.429

b)

1.000

c)

2.041

d)

2.333

e)

5.667