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Quadratic Formula Quizizz

Total questions: 20

Worksheet time: 41mins

Name
Class
Date
1.
What is this formula?
a)
This is the speed of light formula.
b)
This is the quadratic formula.
c)
This is the zero product property.
d)
This is scary.
2.

In the quadratic formula equation
x =  b ±b2−4ac2a\frac{b\ \pm\sqrt{b^2-4ac}}{2a}  
What is the discriminant?

a)

- b2a\frac{b}{2a}  

b)

 12a\frac{1}{2a}  

c)

 b2 − 4acb^2\ -\ 4ac  

3.

What does the discriminant tell us?

a)

The maximum or minimum

b)

The y-intercept

c)

The number and type of solutions

d)

The axis of symmetry

4.

In a quadratic equation, if the value of the discriminant < 0, how many solutions does the equation have?

a)

0

b)

1

c)

2

5.

In a quadratic equation, if the value of the discriminant = 0, how many solutions does the equation have?

a)

0

b)

1

c)

2

6.

In a quadratic equation, if the value of the discriminant > 0, how many solutions does the equation have?

a)

0

b)

1

c)

2

7.
____________
For the function above, is the discriminant positive, negative, or zero?
a)
Positive
b)
Negative
c)
Zero
d)
Not Sure
8.
____________
For the function above, is the discriminant positive, negative, or zero?
a)
Positive
b)
Negative
c)
Zero
d)
Not Sure
9.

A function has a discriminant of -4.


How many roots does it have?

a)

0

b)

1 real root

c)

2 real roots

d)

2 imaginary or non-real roots

10.

Calculate the discriminant of  2x2−x−1=02x^2-x-1=0  

Remember the formula is:

 b2−4acb^2-4ac  

a)

76

b)

-7

c)

9

d)

none of these

11.

Which of the following equations is in Standard Form

a)

y=3x2+5x+4y=3x^2+5x+4

b)

y=3(x−5)2+4y=3\left(x-5\right)^2+4

c)

y=(x+1)2−11y=\left(x+1\right)^2-11

d)

y=5(x−4)2y=5\left(x-4\right)^2

12.

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

13.

Identify a, b, and c in: x2−6x+14=0

a)

3,5,9

b)

1,-6,14

c)

1,-6,-14

d)

1,6,14

14.

Determine the values of a, b, and c for

the quadratic equation:

4x2 – 8x = 3

*remember right side should =0

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

15.

What should you do first in solving this equation?

x2 + 6x - 13 = 3

a)

Factor

b)

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

c)

Subtract 3 from both sides.

d)

Add 3 to both sides.

16.
Solve Using the Quadratic Formula
 x2 + 4x - 40 = -8
a)
-10 & -4
b)
-4 & 10
c)
-8 & 4
d)
8 & -4
17.

Use the quadratic formula to solve 2x2 + 2x - 12.

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

18.

Use the quadratic formula to find the solutions for

y = -x2 - 5x + 12

a)

No Real Solution

b)
c)
d)
19.

Given the equation x2 - 8x = -12

What are the solutions?

a)

x = -2 and x = 0

b)

x = 2 and x = 6

c)

There are no solutions

20.
How many solutions does the equation 4x2 + 4x + 1 = 0 have?
a)
0
b)
1
c)
2
d)
More than 2