2. Let’s Get Ready
To Play Some . . .

3. E O P A R D Y
JEOPARDY
JEOPARDY
JEOPARDY
JEOPARDY
JEOPARDY J

4. Jeopardy Board 100 200 300 400 500 Final Jeopardy Square Roots
Solving Radical and Quadratic Equations
Pythagorean Theorem and Distance
TAKS
100
200
300
400
500

5. Between what consecutive integers is the principal square root of
Square Roots - 100
Between what consecutive integers is the principal square root of
Board
Answer

6. Between what consecutive integers is the principal square root of
Square Roots - 100
Between what consecutive integers is the principal square root of
Board
So the square root of 60 is between 7 and 8

7. Square Roots - 200
Simplify
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Answer

8. Square Roots - 200 Simplify Method 1: Multiply first
Method 2: Simplify first
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9. Square Roots - 300
Evaluate
Board
Answer

10. Square Roots - 300 Evaluate Method 1: Substitute first
Method 2: Square First
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11. Square Roots - 400 This is the graph of
Copy this graph then sketch a graph of
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Answer

12. Square Roots - 400 This is the graph of
Copy this graph then sketch a graph of
The plus 3 moves every point in the graph up 3 spaces
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13. Square Roots - 400 This is the graph of
Copy this graph then sketch a graph of
The plus 3 moves every point in the graph up 3 spaces
Other Square root graphs
Board

14. Square Roots - 400 This is the graph of
Copy this graph then sketch a graph of
The plus 3 moves every point in the graph up 3 spaces
Other Square root graphs
Board

15. Square Roots - 500 This is the graph of What is the domain and range?
Board
Answer

16. Square Roots - 500 This is the graph of What is the domain and range?
y > -5
Domain is x > 2 Range is y > -5
x > 2
Domain is the set of x-values
Board
Range is the set of y-values

17. Solving Radical and Quadratic Equations 100 Solve 2x2 + 10 = 28 Board
Answer

18. Solving Radical and Quadratic Equations 100 Solve 2x2 + 10 = 28 Check:
– 10
– 10
2x2 = 18 2 2
x2 = 9
Board

19. Solving Radical and
Quadratic Equations
Solve
Board
Answer

20. Solving Radical and Quadratic Equations 200 Solve Check: – 10 – 10 2 2
2(-81)+10 gives:
Board

21. Solving Radical and Quadratic Equations 300 Solve the equation
5 ft y
13 ft
Solve the equation
52 + y2 = 132 to find y.
Make sure you label your answer
Board
Answer

22. Solving Radical and Quadratic Equations 300 Solve the equation
5 ft y
13 ft
Solve the equation
52 + y2 = 132 to find y.
25 + y2 = 169
– 25
– 25
y2 = 144
Make sure you label your answer
Check
Answer is not 12 because distance is positive
y = 12 ft
Board

23. Solving Radical and Quadratic Equations 400 Solve 6 – 3x2 = -21 Board
Answer

24. Solving Radical and Quadratic Equations 400 Solve 6 – 3x2 = -21 Check:
– 6
– 6
-3x2 = -27 -3 -3
x2 = 9
Board

25. Solving Radical and
Quadratic Equations
Solve
Board
Board
Answer

26. Solving Radical and Quadratic Equations 500 Solve Check: – 10 –10
+ 5
+ 5
a = 86
Board
Board

27. Pythagorean Theorem and Distance
100
Find the taxi distance between these two points
Board
Answer

28. Pythagorean Theorem and Distance
100
Find the taxi distance between these two points 6 8
The total taxi distance is = 14
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29. Pythagorean Theorem and Distance
200
Find the distance between these two points
Board
Answer

30. Pythagorean Theorem and Distance
200
Find the distance between these two points 6 8 c
We want the distance
This is a Pythagorean theorem problem
We are looking for the side opposite the 90° angle. What letter is that? ___ c
a2 +b2 = c2
100 = c2
Board
= c2
10 = c
= c2
The distance between is 10

31. Pythagorean Theorem and Distance
300
Is the following triangle a right triangle?
20 ft
9 ft
12 ft
You must show why or why not
Board
Answer

32. Pythagorean Theorem and Distance
300
Is the following triangle a right triangle?
Pythagorean Theorem will be true if it is a right triangle.
12 ft
9 ft
a2 + b2 = c2
20 ft
Which side should we call c? ____
20 ft
Why? _______________________
c is the longest side
You must show why or why not
Is = 202?
Is = 400?
Is 225 = 400?
Board
No, so this triangle is not a right 

33. Pythagorean Theorem and Distance
400
Find the length of the missing side
10 in
6 in x
Answer must be simplified
Board
Answer

34. Pythagorean Theorem and Distance
400
Find the length of the missing side
a2 + b2 = c2
6 in x
Which side should we call c? ____
10 in
Side opposite the 90° angle
= x2 x
Check:
= x2
Answer must be simplified
136 = x2
Board

35. Pythagorean Theorem and Distance
500
Find the length of the missing side x
6 in
11 in
Board
Answer

36. Pythagorean Theorem and Distance
500
Find the length of the missing side
a2 + b2 = c2 x
6 in
11 in 11
Which side should we call c? ____
Side opposite the 90° angle
x = 112
Check:
x = 121
– 36
– 36
x2 = 85
x = 85
Board

37. TAKS
Board
Answer

38. TAKS 100 Check: a2 + b2 = c2 Which side should we call c? ____ x
Side opposite the 90° angle
(1.8)2 + (2.4)2 = x2
= x2
9 = x2
3 = x
The distance between the sailboat and the buoy is 3 miles
Check:
Board

39. TAKS
A ladder 5.2 meters in length rests against a wall. If the ladder is 1.8 meters from the base of the wall, how high up the wall does the ladder reach?
Board
Answer

40. TAKS
A ladder 5.2 meters in length rests against a wall. If the ladder is 1.8 meters from the base of the wall, how high up the wall does the ladder reach?
a2 + b2 = c2
Which side should we call c? ____
5.2
Side opposite the 90° angle
x2 + (1.8)2 = 5.22
x = 27.04
– 3.24
– 3.24
x2 =
Check:
x =
The ladder will reach meters up the wall.
Board

41. TAKS
Is a triangle with side lengths of 32 millimeters, 44 millimeters, and 56 millimeters a right triangle?
Board
Answer

42. TAKS
Is a triangle with side lengths of 32 millimeters, 44 millimeters, and 56 millimeters a right triangle?
Pythagorean Theorem will be true if it is a right triangle.
Check:
a2 + b2 = c2
Which side should we call c? ______
56 mm
Why? _______________________
c is the longest side
Is = 562?
Is = 3136?
Board
Is = 3136?
No, so this triangle is not a right 

43. TAKS 400 Which set of squares could form a right triangle? 2.5 11 5 9
1.5 9 11 5 5 3
You must show why you picked your set.
Board
Answer

44. TAKS 400 Which set of squares could form a right triangle? 2 2.5 1.5 911 5 5 3
You must show why you picked your set.
Test each of them to see if Pythagorean theorem works
a2 + b2 = c2
a2 + b2 = c2
a2 + b2 = c2
Is = 2.52?
Is = 112?
= 52?
Is = 6.25?
Is = 121?
9 + 9 = 25?
Board
Is = 6.25?
Is 106 = 121?
18 = 25?
Yes NO No

45. TAKS
Tara wants to buy new nylon cord to support the poles that hold up her volleyball net, as shown in the drawing below. 
What is the distance from point A, where the cord is attached to the top of the pole, to point B, where the cord is attached to a stake in the ground?
Board
Answer

46. TAKS
Tara wants to buy new nylon cord to support the poles that hold up her volleyball net, as shown in the drawing below. 
a2 + b2 = c2
Which side should we call c? ____ x
Side opposite the 90° angle
(6)2 + (8)2 = x2
= x2
What is the distance from point A, where the cord is attached to the top of the pole, to point B, where the cord is attached to a stake in the ground?
100 = x2
10 = x
The length of the rope from the top of the net to the ground is 10 ft
Check:
Board

47. Final Jeopardy Category
Pythagorean Theorem
Board

48. Final Jeopardy Question
As a school project you are going to plant some flowers in Oxspring Orchard, the triangle between Nelson Road, Huffmeister Dr, and Powell Blvd as pictured below. What is the Area of Oxspring Orchard? {Area of a triangle is A = ½bh}
Nelson Road
Huffmeister Drive
Powell Blvd
Oxspring Orchard
50 ft
40 ft
Answer

49. Final Jeopardy Question
As a school project you are going to plant some flowers in Oxspring Orchard, the triangle between Nelson Road, Huffmeister Dr, and Powell Blvd as pictured below. What is the Area of Oxspring Orchard? {Area of a triangle is A = ½bh}
Nelson Road
Huffmeister Drive
Powell Blvd
Oxspring Orchard
50 ft
40 ft
Answer

50. Final Jeopardy Question
As a school project you are going to plant some flowers in Oxspring Orchard, the triangle between Nelson Road, Huffmeister Dr, and Powell Blvd as pictured below. What is the Area of Oxspring Orchard? {Area of a triangle is A = ½bh}
Nelson Road
Huffmeister Drive
Powell Blvd
Oxspring Orchard
50 ft
40 ft
We know the height of the triangle, 40 ft
We need to know the base
a2 + b2 = c2
A = ½bh
x = 502
A = ½(30)(40)
x = 2500
A = 600 ft2
– 1600
– 1600
x2 = 900
x = 30 ft
This is NOT the answer to the question!