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Intro Quadratic Formula

Total questions: 27

Worksheet time: 1hrs 3mins

Name
Class
Date
1.

What is this formula?

a)

This is the formula for the speed of light.

b)

This is the quadratic formula.

c)

This is the zero product property.

d)

This is scary.

2.

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

3.
Identify a, b, and c in: x2−6x+14
a)
3,5,9
b)
1,-6,14
c)
1,-6,-14
d)
1,6,14
4.

Identify the 'c' value: y = 16x2 - 8x - 24

a)

16

b)

-8

c)

24

d)

-24

5.

Does the equation open up or down? 
Y = -3x2 + 7x - 2

a)

up

b)

down

6.

In the equation
y = x2 + 5x + 7, match each leading coefficient with its correct letter 

a)

a=0, b=5, c=7

b)

a=1, b=5, c=7

c)

a=7, b=5, c=1

7.
Identify a, b, and c in: x2−6x+14
a)
3,5,9
b)
1,-6,14
c)
1,-6,-14
d)
1,6,14
8.

Identify the 'b' value: y = 16x2 - 8x - 24

a)

16

b)

-8

c)

8

d)

-24

9.

Identify the 'a' value: y = 16x2 - 8x - 24

a)

16

b)

8

c)

-8

d)

-24

10.

In the equation
y = x2 + 5x + 7, match each leading coefficient with its correct letter 

a)

a=0, b=5, c=7

b)

a=1, b=5, c=7

c)

a=7, b=5, c=1

11.

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.

12.

What would be the value of b2 in the equation y = 2x2 - x - 3?

a)

2

b)

-1

c)

1

d)

-3

13.

Calculate 4ac for the equation y = 2x2 - x - 3

a)

-12

b)

8

c)

-24

d)

-1

14.

Is this quadratic equation in standard form? 3x28x+5=23x^2-8x+5=2  

a)

Yes

b)

No

c)

There is not enough information given.

15.

Which step do you need to take to re-write the equation in standard form?
x22x+9=4xx^2-2x+9=4x  

a)

Add 4x to both sides

b)

Subtract 4x to both sides

c)

Add 2x to both sides

d)

Subtract 2x from both sides

16.

Identify the values of a, b, and c.
x2+8x3=0x^2+8x-3=0  

a)

a=0, b=8, c=3a=0,\ b=8,\ c=-3  

b)

a=1, b=8, c=3a=1,\ b=8,\ c=3  

c)

a=1, b=8, c=3a=1,\ b=8,\ c=-3  

d)

a=0, b=8, c=3a=0,\ b=8,\ c=3  

17.

Rewrite the equation in standard form
4x2+8x1=x254x^2+8x-1=x^2-5  

a)

3x2+8x 6=03x^2+8x\ -6=0  

b)

5x2+8x+4=05x^2+8x+4=0  

c)

5x2+8x6=05x^2+8x-6=0  

d)

3x2+8x+4=03x^2+8x+4=0  

18.

What is the correct value of b in the problem?
x2+6x16x^2+6x-16  



(a)  

19.

Identify a, b, and c from the following problem:
x23x=18x^2-3x=18  

a)

a=1, b=3, c=18a=1,\ b=-3,\ c=18  

b)

a=0, b =3, c =18a=0,\ b\ =-3,\ c\ =18  

c)

a=0, b = 3, c=18a=0,\ b\ =\ -3,\ c=-18  

d)

a=1, b=3, c=18a=1,\ b=-3,\ c=-18  

20.
Identify the 'a' value: y = 16x2 -8x -24
a)
16
b)
8
c)
-8
d)
-24
21.
Identify the 'b' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
8
d)
-24
22.
Identify the 'c' value: y = 16x2 -8x -24
a)
16
b)
-8
c)
24
d)
-24
23.

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

24.

Which of the following are quadratic equations?

a)

x=1x=1  

b)

n25=0n^2-5=0  

c)

2x=32x=-3  

d)

94x=14x29-4x=14x^2  

25.

In the equation

3x+x2=23x+x^2=2  , what is the real number c?

a)

2-2  

b)

11  

c)

22  

d)

33  

26.

Fill in quadratic formula

x=x=

27.

Rate how comfortable you are with graphing and naming important characteristics of quadratics: 1 - I have no idea what I'm doing 2 - I need more practice please 3 - I am good to go!

a)

1

b)

2

c)

3