Arts & Tech mathematicsmathematics JEOPARDY JEOPARDY Double Jeopardy.
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Arts & Arts & Tech Tech mathematics mathematics JEOPARDY JEOPARDY Double Double J J eo eo p p a a r r d d y y
Transcript of Arts & Tech mathematicsmathematics JEOPARDY JEOPARDY Double Jeopardy.
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mathematicsmathematicsmathematicsmathematicsJEOPARDYJEOPARDYJEOPARDYJEOPARDY
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DoubleDoubleJJeoeoppaarrddyy
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Shapes Simplifying Expressions
Solving for x and maybe y OTHER!!!Factoring
Go to Final JeopardyGo to Regular Jeopardy Replay End Round
Find the Area of the Find the Area of the Triangle below.Triangle below.
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6
9
12
Area = ½ base x heightArea = ½ base x height
Area = ½ (6 x 9)Area = ½ (6 x 9)
Area = ½ (54)Area = ½ (54)
Area = 27Area = 27
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Find the length of the Find the length of the missing side.missing side.
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513
x
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legleg22 +leg +leg22 = hyp = hyp22
5522 + x + x22 = 13 = 1322
25 + x25 + x22 = 169 = 169
-25 -25-25 -25
x = 12x = 12
Find the Area of the Find the Area of the Purple RegionPurple Region
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20
Rectangle Area= L x WRectangle Area= L x WArea = 12 x 20Area = 12 x 20
= 240= 240Circle Area = 3.14 rCircle Area = 3.14 r22
Area = 3.14 (5Area = 3.14 (522))Area = 78.5Area = 78.5
Purple Region = 240 – 78.5Purple Region = 240 – 78.5Purple Region = 161.5Purple Region = 161.5
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Find the length of the Find the length of the missing side.missing side.
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6
x
15
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66 = 9= 9
1515 xx
6x = 1356x = 135
66 66
x = 22.5x = 22.5$800$800
Find the Area of the Find the Area of the Figure Below.Figure Below.
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6
Rectangle Area = L x WRectangle Area = L x WArea = 9 x 6Area = 9 x 6Area = 54Area = 54
Circle Area = (½) 3.14 rCircle Area = (½) 3.14 r22
Area = (½) 3.14 (3Area = (½) 3.14 (32)2)
Area = 14.13Area = 14.13Total Area = 14.13 + 54Total Area = 14.13 + 54
Total Area = 68.13 Total Area = 68.13
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Factor CompletelyFactor Completely
xx22 + 2x - 8 + 2x - 8
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xx22 + 2x – 8 + 2x – 8
(x – 2) (x + 4)(x – 2) (x + 4)
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Factor CompletelyFactor Completely
2x + 6 2x + 6
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2x + 62x + 6
2(x + 3)2(x + 3)
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Factor CompletelyFactor Completely
2x2x22 – 10x + 12 – 10x + 12
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2x2x22 – 10x + 12 – 10x + 12
2(x2(x22 – 5x + 6) – 5x + 6)
2(x – 3) (x – 2) 2(x – 3) (x – 2)
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Factor CompletelyFactor Completely
2x2x22 – x – 6 – x – 6
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2x2x22 – x – 6 – x – 6
(2x + 3) (x – 2)(2x + 3) (x – 2)
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Factor CompletelyFactor Completely
6x6x22 + 4x – 16 + 4x – 16
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6x6x22 + 4x – 16 + 4x – 16
2 (3x2 (3x22 + 2x – 8) + 2x – 8)
2(3x – 4) (x + 2)2(3x – 4) (x + 2)
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Simplify:Simplify:
1)1) xx22 · x · x44
2)2) xx77 ÷ x ÷ x33
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1)1) xx22 · x · x4 4 = x= x66
2)2) xx77 ÷ x ÷ x3 3 = x= x44
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Simplify!!!Simplify!!!1) √3 · √51) √3 · √52) √4 + √22) √4 + √2
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1) √3 · √5 = √151) √3 · √5 = √152) √4 + √2 = √4 + √22) √4 + √2 = √4 + √2
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Rewrite in Simplest Rewrite in Simplest Form.Form.
√√7272
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√√72 = √2 x 2 x 2 x 3 x 372 = √2 x 2 x 2 x 3 x 3
2 x 3 √22 x 3 √2
6 √26 √2
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(x + 2) x (x) (x+ 3)(x + 2) x (x) (x+ 3)
(x + 3) (x – 2)(x + 3) (x – 2)
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(x + 2) x (x) (x+ 3)(x + 2) x (x) (x+ 3)
(x + 3) (x – 2)(x + 3) (x – 2)
(x) (x+ 2)(x) (x+ 2)
(x – 2)(x – 2)
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Simplify.Simplify.
xx22 + 4x + 4 + 4x + 4
xx22 – x - 6 – x - 6
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xx22 + 4x + 4 + 4x + 4xx22 – x - 6 – x - 6
(x + 2) (x + 2)(x + 2) (x + 2)(x – 3) (x + 2)(x – 3) (x + 2)
(x + 2)(x + 2)(x – 3)(x – 3)$1000$1000
Solve for x.Solve for x.
x + 2 = 7x + 2 = 7
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x + 2 = 7 x + 2 = -7x + 2 = 7 x + 2 = -7
-2 -2 -2 -2-2 -2 -2 -2
x = 5 x = -9x = 5 x = -9
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Solve for x and y.Solve for x and y.
2x + 3y = 72x + 3y = 7
-2x + 5y = 1-2x + 5y = 1
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2x + 3y = 7 x = 22x + 3y = 7 x = 2
-2x + 5y = 1 y = 1-2x + 5y = 1 y = 1
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Solve for x and y.Solve for x and y.
2y + 3x = 162y + 3x = 16
y + 5x = 22y + 5x = 22
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2y + 3x = 16 x = 42y + 3x = 16 x = 4
y + 5x = 22 y = 2y + 5x = 22 y = 2
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Solve for x.Solve for x.
7 + 3 (2x + 1) = 407 + 3 (2x + 1) = 40
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7 + 3 (2x + 1) = 407 + 3 (2x + 1) = 40
7 + 6x + 3 = 407 + 6x + 3 = 40
10 + 6x = 4010 + 6x = 40
6x = 306x = 30
x = 5x = 5$800$800
Solve for x.Solve for x.
√√xx22 + 6 = x + 3 + 6 = x + 3
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√√xx22 + 6 = x + 3 + 6 = x + 3
xx22+ 6 = x+ 6 = x22 + 6x + 9 + 6x + 9
-2 = x-2 = x$1000$1000
Multiply.Multiply.
(x + 3) (x – 8)(x + 3) (x – 8)
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(x + 3) (x – 8)(x + 3) (x – 8)
xx22 – 5x – 24 – 5x – 24
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What is the slope and y- What is the slope and y- intercept?intercept?
y = 3x + 5y = 3x + 5
2y = 4x + 82y = 4x + 8
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y = 3x + 5y = 3x + 5
Slope: 3 Y-Int: 5Slope: 3 Y-Int: 5
2y = 4x + 82y = 4x + 8
Slope: 2 Y- int: 4Slope: 2 Y- int: 4
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If f(x) = 2x2 + 4x, thenIf f(x) = 2x2 + 4x, then
f(-2) = ?f(-2) = ?
f(3) = ?f(3) = ?
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If f(x) = 2x2 + 4x, thenIf f(x) = 2x2 + 4x, thenf(-2) = 2 (-2)2 + 4(-2)f(-2) = 2 (-2)2 + 4(-2)
f(-2) = 8 + -8f(-2) = 8 + -8f(-2) = 0f(-2) = 0
f(3) = 2 (3)2 + 4(3)f(3) = 2 (3)2 + 4(3)f(3) = 36 + 12f(3) = 36 + 12
f(3) = 48f(3) = 48
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Use a factor tree to Use a factor tree to rewrite in simplest form.rewrite in simplest form.
√√7272
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√√72 = 6 √272 = 6 √2
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9 8
3 3 4 2
22
The tax on a $300 The tax on a $300 couch is $25. What couch is $25. What
would the tax be on a would the tax be on a $500 couch?$500 couch?
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2525 = x= x
300300 500500
300x = 12, 500300x = 12, 500
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x = 41. 67x = 41. 67$1000$1000
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Combine Like TermsCombine Like Terms(2x(2x22 + 3x – 4) – (6x + 3x – 4) – (6x22 + 3x – 3) + 3x – 3)
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(2x(2x22 + 3x – 4) – (6x + 3x – 4) – (6x22 + 3x – 3) + 3x – 3)
(2x(2x22 + 3x – 4) + (-6x + 3x – 4) + (-6x22 - 3x + 3) - 3x + 3)
-4x-4x22 - 1 - 1
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