3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted...

63

Transcript of 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted...

Page 1: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100
Page 2: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

TWISTED SYSTEM

INEQUALITY FOR ALL

MAGICAL MATRICES

WONDERFUL WORDS GRAB BAG

$100 $100 $100 $100 $100

$300 $300 $300 $300 $300

$200 $200 $200 $200 $200

$400 $400 $400 $400 $400

$500 $500 $500 $500 $500

Page 3: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

TWISTED SYSTEM - $100

Solve:

3x + 4y =11x =1

⎧⎨⎩

Page 4: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

TWISTED SYSTEM - $200

Solve:

2x + 6y =18y = x + 7

⎧⎨⎩

Page 5: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

TWISTED SYSTEM - $300

Solve:

3x − 6y = 512y− 6x = 2"#$

Page 6: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

TWISTED SYSTEM - $400

Solve:

7y − 6x = 202x − 9y = 20

⎧⎨⎩

Page 7: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

TWISTED SYSTEM - $500

Solve:

x + y+ z = 6−2x − 2y+ 5z = 93x + 5y− 2z = 7

"

#$

%$

Page 8: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

INEQUALITY FOR ALL - $100

Graph:

y ≤ 3x + 4

Page 9: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

INEQUALITY FOR ALL - $200

Graph:

2x − y < 63x + 2y ≥12

Page 10: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

INEQUALITY FOR ALL - $300

Graph:

2x − 8y ≤163x + y ≤ 9x > 2

$

% &

' &

Page 11: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

INEQUALITY FOR ALL - $400

Find the vertices of the triangle created by the following system.

x ≤ 4y ≥ 33x + 2y ≥12

⎧⎨⎪

⎩⎪

Page 12: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

INEQUALITY FOR ALL - $500

Create a system of inequalities whose solution is a parallelogram.

Page 13: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

MAGICAL MATRICES - $100

Add: 2 1 4−1 0 62 −5 3

⎢⎢⎢

⎥⎥⎥+

4 −3 96 −4 112 0 12

⎢⎢⎢

⎥⎥⎥

Page 14: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

MAGICAL MATRICES - $200

Multiply:

3 17 5

⎣⎢

⎦⎥*

1 −34 9

⎣⎢

⎦⎥

Page 15: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

MAGICAL MATRICES - $300

Solve with matrices:

2x + 4y + 3z = −33x − 6y + 5z = 857x +10y +11z = 23

⎧⎨⎪

⎩⎪

Page 16: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

MAGICAL MATRICES - $400

Multiply:

1 2 35 −4 07 1 6

⎢⎢⎢

⎥⎥⎥* 3 1

7 5⎡

⎣⎢

⎦⎥

Page 17: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

MAGICAL MATRICES - $500

Solve with matrices: w − x + 3z = −32w − 3x + 7 = 4y − zw + x + y =152w + 3x − 7z =10

⎨⎪⎪

⎩⎪⎪

Page 18: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

WONDERFUL WORDS - $100

Find two numbers whose sum is 821 and difference is 213.

Page 19: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

WONDERFUL WORDS - $200

Joe has a bag of pennies and nickels worth $20. He has 1,100 total coins. How many are pennies?

Page 20: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

WONDERFUL WORDS - $300

The Spurs scored 100 points in a game from only 2 and 3 point shots, and they made a total of 41 shots. How many of each type did they make?

Page 21: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

WONDERFUL WORDS - $400

Write a system of inequalities that represents the situation. A company manufactures Calculator A and Calculator B. They need to make a total of at least 200 calculators. They can make no more than 90 of Calculator A, and they have to make at least twice as many of Calculator A as they do for Calculator B.

Page 22: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

WONDERFUL WORDS - $500

The Cowboys gave up a total of 57 points in their last game. They gave up twice as many touchdowns as field goals. If you add the number of safeties and field goals, it equals the number of touchdowns. How many of each type of score did they give up? *Assume all extra points were good and no 2 point conversions.

Page 23: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

GRAB BAG - $100

The solution to a system of linear equations is the point where the lines ___________.

Page 24: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

GRAB BAG - $200

The sum of Mr. Trenfield’s and Ms. Wroblewski’s ages is 61. Twice the sum of their ages is 100. How old are they?

Page 25: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

GRAB BAG - $300

When would a system of linear equations have infinitely many solutions?

Page 26: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

GRAB BAG - $400

Find the equation of a parabola that passes through the points (1,3), (2,5) and (3,9). The standard form is

y = ax2 + bx + c

Page 27: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

GRAB BAG - $500

Find the equation of a cubic function that passes through the points (1,-3), (3,-17), (4,3), and (5,57).

y = ax3 + bx2 + cx + d

Page 28: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

TWISTED SYSTEM - $100

(1, 2)Answer:

Page 29: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

TWISTED SYSTEM - $200

Answer:

(−3, 4)

Page 30: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

TWISTED SYSTEM - $300

Answer:

Page 31: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

TWISTED SYSTEM - $400

Answer:

(−8,−4)

Page 32: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

TWISTED SYSTEM - $500

Answer: x =1y = 2z = 3

Page 33: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

INEQUALITY FOR ALL - $100

Answer:

Page 34: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

INEQUALITY FOR ALL - $200

Answer:

Page 35: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

INEQUALITY FOR ALL - $300

Answer:

Page 36: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

INEQUALITY FOR ALL - $400

Answer: (2,3)(4,3)(4, 0)

Page 37: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

INEQUALITY FOR ALL - $500

Answer: varies

Page 38: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

MAGICAL MATRICES - $100

Answer: 6 −2 135 −4 174 0 15

⎢⎢⎢

⎥⎥⎥

Page 39: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

MAGICAL MATRICES - $200

Answer: 7 027 24

⎣⎢

⎦⎥

Page 40: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

MAGICAL MATRICES - $300

Answer: x = −4y = −7z =11

Page 41: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

MAGICAL MATRICES - $400

Answer: impossible

Page 42: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

MAGICAL MATRICES - $500

Answer: w = −16x =108.5y = −77.5z = 40.5

Page 43: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

WONDERFUL WORDS - $100

Answer: 517 and 304

Page 44: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

WONDERFUL WORDS - $200

Answer: 875 pennies

Page 45: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

WONDERFUL WORDS - $300

Answer: 21 2-pointers and 18 3-pointers

Page 46: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

WONDERFUL WORDS - $400

Answer: A + B ≥ 200A ≤ 902B ≤ A

⎧⎨⎪

⎩⎪

Page 47: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

WONDERFUL WORDS - $500

Answer: 6 touchdowns, 3 field goals, 3 safeties

Page 48: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

GRAB BAG - $100

Answer: intersect

Page 49: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

GRAB BAG - $200

Answer: They are ageless wonders.

Page 50: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

GRAB BAG - $300

Answer: If the lines are the same. Equation reduces to

0 = 0

Page 51: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

GRAB BAG - $400

Answer:

y = x2 − x + 3

Page 52: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

GRAB BAG - $500

Answer:

y = 2x3 − 7x2 − 5x + 7

Page 53: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100
Page 54: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

DEFINITION

Page 55: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

FINAL JEOPARDY

Define function

Theme

Page 56: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

What is a relation between a set of inputs and outputs with the

property that each input is related to exactly one output?

FINAL CATEGORY

Page 57: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

END OF GAME

Daily Doubles and usage notes follow...

Page 58: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100
Page 59: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100
Page 60: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100
Page 61: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100
Page 62: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

JEOPARDY! Slide Show Notes •  The font for the question & answer slides is “Enchanted;” a copy of this font in located

in the “REAL Jeopardy Template” folder. (This font will need to be installed in the C:/WINDOWS/FONTS folder of the computer running the show.) In order to keep all of the sounds and fonts together, copy the entire “REAL Jeopardy Template” folder.

•  To change the categories: –  1. Go to “Edit” and “Replace…” –  2. In the Find box, type TWISTED SYSTEM (all caps) –  3. In the Replace box, type the category in all caps (for example, PRESIDENTS) –  4. Click Replace All...

•  To use the Daily Double: –  1. Choose which dollar values to set as Daily Double –  2. Link that dollar value to one of the DD slides –  3. Link the arrow on the DD slide to the correct question slide (so dollar/category

match)

Page 63: 3x 4y 11 - Weeblymrtrenfield.weebly.com/uploads/5/8/6/1/58616339/systems_jeopardy... · twisted system inequality for all magical matrices wonderful words grab bag $100 $100 $100

Running the JEOPARDY! Slide Show

•  On the game board with the categories on top, click on the desired dollar value. (The first game board is used only to blink in the dollar values like the show.)

•  ICONS: –  ? Go to the answer screen. –  House Go back to the game board. –  Right Arrow (on Daily Doubles) Go to the question screen. –  Turned-up Arrow Reload question screen after incorrect guess