Free Printable Discriminant

Worksheets

Discriminant

Total questions: 20

Worksheet time: 51mins

Name

Class

Date

What is the formula for the discriminant?

x = -b/2a

b² - 4ac

a² + b² = c²

x = [-b±√(b²-4ac)]/2a

If the discriminant is equal to 0, how many solutions are there?

No solutions

1 Solution

2 Solutions

Infinite solutions

If the discriminant is equal to 4, how many solutions are there?

No Solutions

1 Solution

2 Solutions

Infinite Solutions

If the discriminant is equal to -2, how many solutions are there?

No Solutions

1 Solution

2 Solutions

Infinite Solutions

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

x² - 6x + 9 = 0

0, No Solutions

0, 1 Solution

72, 2 Solutions

-72, No Solution

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

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

7x² - 4x + 3 = 5x² + 8

a = 2 b = -4 c = -5

a = 7 b = -4 c = 3

a = 2 b = -4 c = 5

a = 12 b = -4 c = -5

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

8x² + 3x - 6 = 3x

a = 8 b = 0 c = -6

a = 8 b = 6 c = -6

a = 8 b = -6 c = 0

a = 8 b = 3 c = -6

The discriminant is

aX² + bX + c

b - 4ac

b² - 4ac

b² + 4ac

10.

What does the discriminant tell us?

The maximum or minimum

The y-intercept

The number and type of solutions. (x-intercepts)

The axis of symmetry

11.

If the discriminant is positive, then the solution will be

one real solution

two real solutions

no real solutions

one imaginary solution

12.

If the discriminant is equal to 0, how many solutions are there?

No real solutions

1 Real Solution

2 Real Solutions

Infinite solutions

13.

If the discriminant is equal to 10, how many solutions are there?

2 Real, Irrational Solutions

1 Real Solution

2 Real Rational Solutions

No Real Solutions

14.

If the discriminant is equal to 49, how many solutions are there?

No Real Solutions

1 Real Solution

2 Real, Rational Solutions

2 Real, Irrational Solutions

15.

What is the value of $b^2$ when $b=\ -5\$ ?

-25

16.

What is the value of $b^2$ when $b=\ 9$ ?

$-81$

$81$

17.

Determine the values of a, b, and c for the quadratic equation: $x^2+5x-7=0$

a=0, b=5, c=7

a=1, b=5, c= -7

a= -7, b=5, c=1

18.

Determine the values of a, b, and c for the quadratic equation: $4x^2-8x=0$

a = 4, b = -8, c = 0

a = 4, b =0, c =-8

a = 0, b = -8, c = 4

19.

Given that the value of $a=-5,\ b=1,\ c=\ 3$ find the discriminant, $b^2-4ac$

20.

What does the discriminant tell us?

The number and type of solutions

The number of stars in the universe (this is not the right answer)

100 %

Discriminant

Total questions: 20

Worksheet time: 51mins

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