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quadratic formula -lab

Total questions: 16

Worksheet time: 4hrs 0mins

Name
Class
Date
1.

What is this formula?

a)

This is the standard formula.

b)

This is the quadratic formula.

c)

This is the square root formula.

d)

This is the Pythagorean formula

2.

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.

3.

Identify the values of A, B, and C


10p2 + 7p - 20 = 0

a)

A=1, B=7, C=-20

b)

A=10, B=7, C=20

c)

A=10, B=-7, C=-20

d)

A=10, B=7, C=-20

4.

Identify the values of A, B, and C


3m2 - 14 = 11m

a)

A=3, B=-11, C=-14

b)

A=3, B=-14, C=11

c)

A=3, B=11, C=-14

d)

A=3, B=-14, C=11

5.

Solve using the Quadratic Formula


4v2 - 1v - 18 = 0

a)

v = 2.25, -2

b)

v = -2.25, 2

c)

v = 2.24, -1.99

d)

v = -2.24, 1.99

6.

Solve using the Quadratic Formula


6p2 = 2p + 60

a)

p = 3.33, -3

b)

p = -3.33, 2

c)

p = -5.98, 6.65

d)

p = 5.98, -6.65

7.
The discriminant is
a)
aX2  + bX  +  c
b)
b - 4ac
c)
b2 - 4ac
d)
b2 + 4ac
8.
A function has a discriminant of 25.
______________
How many solutions does it have?
a)
0
b)
1
c)
2
d)
5
9.

A function has a discriminant of -3.

______________

How many x-intercepts (or solutions) does it have?

a)

0

b)

1

c)

2

d)

3

10.

How many solutions will this quadratic equation x2+8x+16 has?

a)

2 solutions

b)

no solution

c)

1 solution

d)

3 solutions

11.

Use the quadratic formula to find the solutions for

y = -x2 - 5x + 12

a)

No Real Solution

b)
c)
d)
12.
Solve Using the Quadratic Formula
 x2 + 4x - 40 = -8
a)
-10 & -4
b)
-4 & 10
c)
-8 & 4
d)
8 & -4
13.
If the discriminant equals 0, then the quadratic has:
a)
1 Real Solution
b)
2 Real Solutions
c)
Half a Solution
d)
2 Imaginary Solutions
14.
Solve using the quadratic formula.
2x2 - 9x - 35 = 0
a)
x = 7/2, x = -6
b)
x = -5/2, x =5
c)
x = -3/7, x =6
d)
x = -5/2, x = 7
15.

Identify the values of A, B, and C


11r2 + 6r = 6

a)

A=11, B=-6, C=-6

b)

A=11, B=6, C=6

c)

A=11, B=6, C=-6

d)

A=1, B=6, C=-6

16.
Use the quadratic formula to find the solutions for
y = 2x2 - 9x + 5
a)
-8.14 and -6.14
b)
4.07 and 3.07
c)
3.85 and 0.65
d)
ZERO solutions