Systems
Logic
Geometry
Trigonometry
Quadratics
Sequences & Series
Mr. Krasner
100

This is the equation for the line seen here:

y=3

100

If A = {1, 2, 3} and B = {4, 5, 6}, this is

A \cap B

\emptyset

100

This is the relationship between

\angle b \quad & \quad \angle c

Linear Pair

100

Given the diagram below, this is the reason the triangles are similar

SAS

100

This is the quadratic formula SONG (you must sing it)

...

100

These are the first five terms of the sequence

a_{n} = \frac{2a_{n+1}+4}{2}

if 

a_{1} = 1

1, 3, 5, 7, 9

100

This is the number of tattoos Mr. Krasner has.

3

200

This is the solution to the following system of equations:

(-4,10)

200

Given the Venn Diagram, it is the value of

(R \cap N \cap S) \cup (R \cup N \cup S)^c


35

200

This is the name of the property that states
"If a = b, then b = a"

Symmetric Property of Equality

200

This is the value of x

2\sqrt(10)

200

This is the vertex for the quadratic function

f(x) = -2x^2-12x-12

(-3, 6)

200

This is the explicit formula for the sequence
7, 2, -3, -8, -13, ...

a_{n} = 7 +(n-1)(-5)

or

a_{n} = 7 -5(n-1)

200

This is the name of the little handsome devil below:

Kazoo

300

This is the classification for the following system:

2x + y + z = 3

x - 2y – z = 1

3x + 4y + 3z = 5

Consistent, Dependent

300

This is the contrapositive for the statement:
"If I eat meat, then I am not a vegetarian"

"If I am a vegetarian, then I don't eat meat"

300

This is the name of the theorem or postulate that states:
Given:
Then:

\QR + RS = QS

Segment Addition Postulate

300

This is the exact value of Tan C

\frac{4}{3}

300

This is the factored form of the quadratic

4 x^2 + 14 x - 30

2(2x-3)(x+5)

300

When the 4th term of a geometric sequence is 48, and the 6th term is 108, these are the possible common ratios.

\pm \frac{3}{2}

300

This is the year Mr. Krasner graduated from High School.

2006

400

This is the solution to the equation:

400

This is the final column for the truth table of the following logical statement:

p \wedge (q \vee r)

400

These are the values of x and y that make the lines l and m parallel:

x = 16, y = 10

400

This is the measure of the angle B (rounded to the nearest hundredths place)

57.91^{\circ}

400

Given the graph of f(x) below, this is the coordinates of the image of point A after it goes through the transformations 

-\frac{1}{2}f(-x)+2

(-2, 0)

400

This is the sum of the first 10 terms of the series

-5, 10, -20, 40, ...

1,705

400

What Month is Mr. Krasner's birthday in?

October

500

The new machine at a factory runs for an hour for $2 producing 120 bolts and 50 screws per hour. The old machine runs for an hour at $2.20 and produces 80 bolts and 80 screws per hour. If together they can operate for no more than 15 hrs, this is how long each of the machines should run to produce an order of 1000 bolts and 750 screws at the minimum operating costs.

new machine = 3.57 hours

old machine = 7.14 hours.

500

It is the classification of the following logical statement:
(p → q) ↔ (q ∨ ¬p)

[hint: contradiction, tautology, or neither]

Tautology 

500

Given:

\triangle ABC \cong \triangle EFG

This is the reason the statement:

\overline{BC} \ cong \overline{FG}


is true

CPCTC

500

When a passenger in an airplane at an altitude of 10 km sees two towns directly to the east of the plane. The angles of depression to the two towns are 28° and 55°. This is how far apart the two towns are. 

11.8 km

500

This is the equation for the following graph

f(x)=-\root[3]{x-3}-1

500

This is the summation notation form for the series
57, 53, 49, ... , -27, -31

\sum_{i=1}^{23}57-4(i-1)

or

\sum_{i=1}^{23}-4i+61

500

This is the lie:
A) Mr. Krasner can wiggle one ear at a time

B) Mr. Krasner can juggle

C) Mr. Krasner is ambidextrous 

D) Mr. Krasner has moved over 20 times

E) Mr. Krasner has stepped on multiple bee hives

C

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