Free Printable Quadratic Equation and Discriminant

Worksheets

Quadratic Equation and Discriminant

Total questions: 16

Worksheet time: 1hrs 5mins

Name

Class

Date

Determine the values of
a, b, and c for
the quadratic equation:
4x² – 8x = 3

a = 4, b = -8, c = 3

a = 4, b =-8, c =-3

a = 4, b = 8, c = 3

a = 4, b = 8, c = -3

What is the equation for this parabola in factored form?

y=(x+2)(x-1)

y=(x-2)(x+1)

y=(x-2)(x-1)

y=(x+2)(x+1)

What is the vertex of the quadratic function:
y = x² - 6x + 11?

(3,2)

(-3,-2)

(-3,2)

(3,-2)

Find the roots of this equation

x²+ x - 6 = 0

4, -1

3, -2

-6, 1

2, -3

In the quadratic formula, if b²-4ac>0, then the quadratic equation has

two imaginary solutions

two different real solutions

two equal real solutions

none of these

To complete the perfect square trinomial in the expression x²-22x+_____, we need to add

121

144

The solution of the quadratic equation
4x²-5x-9=0 are

x=-1 or x=9/4

x=1 or x=9/4

x=2 or x=3

x=-2 or x=-3

Fill the blank space to complete the perfect square trinomial
x²-18x+____=(x- ____)²

9 and 3 respectively

81 and 9 respectively

-9 and -3 respectively

-81 and -9 respectively

Complete the Square and write in Vertex Form:
f(x) = x² + 6x + 5

(x + 3)² - 4

(x + 6)² - 4

(x + 3x)² - 4

(x + 3)² + 9

10.

What should you do first in solving this equation?
x² + 6x - 13 = 3

Get factored form

Write down: a=1, b=6, c=-13

Make it equal 0 by subtracting 3 on each side

Type it all in a calculator.

11.

Solve the equation:
5x² - 35x + 60 = 0

x = 3, -4

x = -3, 4

x = 3, 4

x = -3, -4

12.

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

-7

none of these

13.

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

-8x² + 6x - 4 = 0

-92, No Solutions

164, 2 Solutions

-164, No Solutions

92, 2 Solutions

14.

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

4x² + 6x - 4 = 0

-28, No Solutions

28, 2 Solutions

100, 2 Solutions

-100, No Solutions

15.

When in standard form, what is the value of a, b and c in this quadratic?

9x² + 4x - 6 = -5x + 8

a = 14 b = 4 c = -14

a = 9 b = 9 c = -14

a = 9 b = -1 c = 2

a = 9 b = -9 c = 14

16.

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

-4x² - 8x - 8 = -4

0, No Solutions

0, 1 Solution

128, 2 Solutions

128, 1 Solution

100 %

Quadratic Equation and Discriminant

Total questions: 16

Worksheet time: 1hrs 5mins

Similar Resources on Wayground