Radical Jeopardy with answer key

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Transcript of Radical Jeopardy with answer key

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Opening Screen

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Question Board

Math JeopardySimplify

3

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55

44

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3

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1

5

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5

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3

2

1

5

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3

2

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2 2

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Add/subtractPythagorean

TheoremDistanceMidpoint

MultiplySolve

Equations

1

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1 Point

300

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1 Point

10 3

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2 Points1-2Q

480

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2 Points1-2A

4 30

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3 Points

1

32

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3 Points

18 2

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4 Points

36

15

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4 Points

25 15

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5 Points

5

125

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5 Points

15 5

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1 Point2-1Q

3 3 3

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1 Point

4 3

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2 Points2-2Q

5 5 5

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2 Points

4 5

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3 Points

7 10 5 3 10

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3 Points

10 10 5

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4 Points

3 2 162

3

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00

4 Points2-4A

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5 Points2-5Q

20 320 1000 160

2

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5 Points

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Name 1 Pythagorean Triple

1 Point

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1 Point

3,4,57,24,255,12,13

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Is the following a Pythagorean Triple?180,195,75

2 Points

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yesyes

2 Points

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Mary biked 3 miles south and then 1 mile east. How much longer was her bike route than the

direct route (as the bird flys)?

3 Points

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3 points3-3A

4 10

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Prove that the following points do or do not make a right triangle (I must see your CORRECT work in order

for you to win!A(5,2), B(-5,0), C(1,22)

4 Points

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4 Points

Use the distance formula to find the distance from A to B, from B to C and from C to A.

A to B isB to C isC to A is

Take the three values and plug them into the Pythagorean Theorem to see if they work. Remember that

is side c because it is the largest.

This is true, so therefore those three points do make a right triangle.

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Which of the following are Pythagorean Triples? (circle all that apply!)

a. 8,9,20b. 30,40,50c. 6,7,13

d. 10,24,26e. 3,4,5

f. 5,12,13

5 points3-5Q

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B, D, E, FB, D, E, F

5 points3-5A

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Find the midpoint of the following:(-3,-3), (6,7)

1 Point4-1Q

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(3/2, 2)(3/2, 2)

1 Point

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Find the distance between the following points:(-3,-3), (6,7)

2 Points

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2 points4-2A

181

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Find the distance and midpoint of the following:(0,0), (-8,9)

3 Points4-3Q

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Distance:Midpoint: (-4,9.2)

Distance:Midpoint: (-4,9.2)

3 Points

145

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Find distance of each side of the following polygon:(0,3), (3,2), (2,-1)

4 points

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4 Points4-4A

10, 10,2 5

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Find the perimeter of the following polygon:

(1,5), (3,3), (1,1), (-1,2), (-1,4)

5 Points4-5Q

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5 Points

2 4 2 2 5

Draw the previous polygon on graph paper.Use the pythagorean theorem or the distance formula to find

the length of each side.Add all five sides together, combining like radicals as you do.

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1 Point5-1Q

3 5( 5 6)

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1 Point5-1A

Use the distributive property – multiply the numbers outside of the radical together, and the numbers inside

the radical together.

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2 Points5-2Q

(3 2 2 3)( 2 3)

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2 Points

Use the area model to multiply together.

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3 Points

(2 7 8)2

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3 Points5-3A

Use the area model to multiply together.

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4 Points

( 3 4)3

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4 Points5-4A

Use the area model to multiply the first two binomials together. Take the answer and the third binomial and

multiply them together in the area model.

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Find the area and perimeter of the following rectangle:

5 Points5-5Q

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5 Points

Use the area model to multiply the length and width together.

Add all four sides together to find the perimeter.

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1 Point

x 4 12

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1 point

To solve radical equations:1.Isolate the radical on one side of the equation.

2.Square both sides to get rid of the radical.3.Solve for x.

- This could be by solving the equation- This could be by using the quadratic formula

4. CHECK YOUR ANSWER !

X = 256

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2 Points6-2Q

x 2 4

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2 Points6-2A

X = 14

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3 Points

13 x 2 8

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3 Points

X = 324

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4 points

11x 12 x

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4 Points

X = 12

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5 Points

3x 2 x 4

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5 Points6-5A

Approximate answer: X = 9.5

Exact Answer: