Arts & Arts & TechTech

mathematicsmathematicsmathematicsmathematicsJEOPARDYJEOPARDYJEOPARDYJEOPARDY

DoubleDoubleJJeoeoppaarrddyy

DoubleDoubleJJeoeoppaarrddyy

$600

$400

$200

$600

$200

$400

$200

$400

$600

$200

$400

$600

$200

$800

$1000

$800

$1000

$800

$1000

$800

$1000

$800

$1000

$400

$600

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.

next

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

$200$200

Find the length of the Find the length of the missing side.missing side.

next

513

x

$400$400

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

next

512

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

$$600

Find the length of the Find the length of the missing side.missing side.

next

39

6

x

15

7.5

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.

next

9

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

$1000$1000

Factor CompletelyFactor Completely

xx22 + 2x - 8 + 2x - 8

next

xx22 + 2x – 8 + 2x – 8

(x – 2) (x + 4)(x – 2) (x + 4)

$200$200

Factor CompletelyFactor Completely

2x + 6 2x + 6

next

2x + 62x + 6

2(x + 3)2(x + 3)

$400$400

Factor CompletelyFactor Completely

2x2x22 – 10x + 12 – 10x + 12

next

2x2x22 – 10x + 12 – 10x + 12

2(x2(x22 – 5x + 6) – 5x + 6)

2(x – 3) (x – 2) 2(x – 3) (x – 2)

$600$600

Factor CompletelyFactor Completely

2x2x22 – x – 6 – x – 6

next

2x2x22 – x – 6 – x – 6

(2x + 3) (x – 2)(2x + 3) (x – 2)

$800$800

Factor CompletelyFactor Completely

6x6x22 + 4x – 16 + 4x – 16

next

6x6x22 + 4x – 16 + 4x – 16

2 (3x2 (3x22 + 2x – 8) + 2x – 8)

2(3x – 4) (x + 2)2(3x – 4) (x + 2)

$1000$1000

Simplify:Simplify:

1)1) xx22 · x · x44

2)2) xx77 ÷ x ÷ x33

next

1)1) xx22 · x · x4 4 = x= x66

2)2) xx77 ÷ x ÷ x3 3 = x= x44

$200$200

Simplify!!!Simplify!!!1) √3 · √51) √3 · √52) √4 + √22) √4 + √2

next

1) √3 · √5 = √151) √3 · √5 = √152) √4 + √2 = √4 + √22) √4 + √2 = √4 + √2

$400$400

Rewrite in Simplest Rewrite in Simplest Form.Form.

√√7272

next

√√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

$600$600

(x + 2) x (x) (x+ 3)(x + 2) x (x) (x+ 3)

(x + 3) (x – 2)(x + 3) (x – 2)

next

(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)

$800$800

Simplify.Simplify.

xx22 + 4x + 4 + 4x + 4

xx22 – x - 6 – x - 6

next

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

next

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

$200$200

Solve for x and y.Solve for x and y.

2x + 3y = 72x + 3y = 7

-2x + 5y = 1-2x + 5y = 1

next

2x + 3y = 7 x = 22x + 3y = 7 x = 2

-2x + 5y = 1 y = 1-2x + 5y = 1 y = 1

$400$400

Solve for x and y.Solve for x and y.

2y + 3x = 162y + 3x = 16

y + 5x = 22y + 5x = 22

next

2y + 3x = 16 x = 42y + 3x = 16 x = 4

y + 5x = 22 y = 2y + 5x = 22 y = 2

$600$600

Solve for x.Solve for x.

7 + 3 (2x + 1) = 407 + 3 (2x + 1) = 40

next

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

next

√√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)

next

(x + 3) (x – 8)(x + 3) (x – 8)

xx22 – 5x – 24 – 5x – 24

$200$200

What is the slope and y- What is the slope and y- intercept?intercept?

y = 3x + 5y = 3x + 5

2y = 4x + 82y = 4x + 8

next

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

$400$400

If f(x) = 2x2 + 4x, thenIf f(x) = 2x2 + 4x, then

f(-2) = ?f(-2) = ?

f(3) = ?f(3) = ?

next

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

$600$600

Use a factor tree to Use a factor tree to rewrite in simplest form.rewrite in simplest form.

√√7272

next

√√72 = 6 √272 = 6 √2

$800$800

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?

next

2525 = x= x

300300 500500

300x = 12, 500300x = 12, 500

300300 300300

x = 41. 67x = 41. 67$1000$1000

DDailyailyDDoouubbllee

next

FFinalinalJJeeopopaarrdydy

Combine Like TermsCombine Like Terms(2x(2x22 + 3x – 4) – (6x + 3x – 4) – (6x22 + 3x – 3) + 3x – 3)

next

(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

next

Arts & Arts & TechTech

mathematicsmathematicsmathematicsmathematicsJEOPARDYJEOPARDYJEOPARDYJEOPARDY

Thanks forThanks forPPLLAAYYIINNGG!!Thanks forThanks forPPLLAAYYIINNGG!!