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2 TWISTED SYSTEM INEQUALITY FOR ALL MAGICAL MATRICES WONDERFUL WORDS GRAB BAG $100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500
3 TWISTED SYSTEM - $100 Solve: 3x + 4y = 11 x = 1
4 TWISTED SYSTEM - $200 Solve: 2x + 6y = 18 y = x + 7
5 TWISTED SYSTEM - $300 Solve: " 3x 6y = 5 # $ 12y 6x = 2
6 TWISTED SYSTEM - $400 Solve: 7y 6x = 20 2x 9y = 20
7 TWISTED SYSTEM - $500 Solve: " x + y + z = 6 $ # 2x 2y + 5z = 9 $ % 3x + 5y 2z = 7
8 INEQUALITY FOR ALL - $100 Graph: y 3x + 4
9 INEQUALITY FOR ALL - $200 Graph: 2x y < 6 3x + 2y 12
10 INEQUALITY FOR ALL - $300 Graph: $ 2x 8y 16 & % 3x + y 9 & ' x > 2
11 INEQUALITY FOR ALL - $400 Find the vertices of the triangle created by the following system. x 4 y 3 3x + 2y 12
12 INEQUALITY FOR ALL - $500 Create a system of inequalities whose solution is a parallelogram.
13 MAGICAL MATRICES - $100 Add:
14 MAGICAL MATRICES - $200 Multiply: * 4 9
15 MAGICAL MATRICES - $300 Solve with matrices: 2x + 4y + 3z = 3 3x 6y + 5z = 85 7x +10y +11z = 23
16 MAGICAL MATRICES - $400 Multiply: *
17 MAGICAL MATRICES - $500 Solve with matrices: w x + 3z = 3 2w 3x + 7 = 4y z w + x + y = 15 2w + 3x 7z = 10
18 WONDERFUL WORDS - $100 Find two numbers whose sum is 821 and difference is 213.
19 WONDERFUL WORDS - $200 Joe has a bag of pennies and nickels worth $20. He has 1,100 total coins. How many are pennies?
20 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?
21 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.
22 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.
23 GRAB BAG - $100 The solution to a system of linear equations is the point where the lines.
24 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?
25 GRAB BAG - $300 When would a system of linear equations have infinitely many solutions?
26 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 = ax 2 + bx + c
27 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 = ax 3 + bx 2 + cx + d
28 TWISTED SYSTEM - $100 Answer: (1, 2)
29 TWISTED SYSTEM - $200 Answer: ( 3, 4)
30 TWISTED SYSTEM - $300 Answer:
31 TWISTED SYSTEM - $400 Answer: ( 8, 4)
32 TWISTED SYSTEM - $500 Answer: x =1 y = 2 z = 3
33 INEQUALITY FOR ALL - $100 Answer:
34 INEQUALITY FOR ALL - $200 Answer:
35 INEQUALITY FOR ALL - $300 Answer:
36 INEQUALITY FOR ALL - $400 Answer: (2,3) (4,3) (4, 0)
37 INEQUALITY FOR ALL - $500 Answer: varies
38 MAGICAL MATRICES - $100 Answer:
39 MAGICAL MATRICES - $200 Answer:
40 MAGICAL MATRICES - $300 Answer: x = 4 y = 7 z = 11
41 MAGICAL MATRICES - $400 Answer: impossible
42 MAGICAL MATRICES - $500 w = 16 Answer: x = y = 77.5 z = 40.5
43 WONDERFUL WORDS - $100 Answer: 517 and 304
44 WONDERFUL WORDS - $200 Answer: 875 pennies
45 WONDERFUL WORDS - $300 Answer: 21 2-pointers and 18 3-pointers
46 WONDERFUL WORDS - $400 Answer: A + B 200 A 90 2B A
47 WONDERFUL WORDS - $500 Answer: 6 touchdowns, 3 field goals, 3 safeties
48 GRAB BAG - $100 Answer: intersect
49 GRAB BAG - $200 Answer: They are ageless wonders.
50 GRAB BAG - $300 Answer: If the lines are the same. Equation reduces to 0 = 0
51 GRAB BAG - $400 Answer: y = x 2 x + 3
52 GRAB BAG - $500 Answer: y = 2x 3 7x 2 5x + 7
53
54 DEFINITION
55 FINAL JEOPARDY Define function Theme
56 FINAL CATEGORY What is a relation between a set of inputs and outputs with the property that each input is related to exactly one output?
57 END OF GAME Daily Doubles and usage notes follow...
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62 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)
63 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
$100 $400 $400 $400 $500
$100 $100 $100 $100 $100 $200 $200 $200 $200 $200 $300 $300 $300 $300 $300 $400 $400 $400 $400 $400 $500 $500 $500 $500 $500 YOU CAN T FORCE ME TO MOVE! MAY THE FORCE BE WITH YOU I SECOND THAT MOTION MOVING
$200 $400 $400 $400 $400 $400 $800 $800 $800 $800
$200 $200 $200 $200 $200 $400 $400 $400 $400 $400 $600 $600 $600 $600 $600 $800 $800 $800 $800 $800 $1000 $1000 $1000 $1000 $1000 Cells Genetics Ecosystems Human Impacts Cell Environment $ Cells Genetics
Problem Set # 1 Solution, 18.06
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Part A: Define the variables and write two equations to represent the number of pages that each student read. Variables: Alejandro: Carly:
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