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Equations, Pythagorean Theorem, and Volume Calculations - Jeopardy Game

A Jeopardy game featuring questions and challenges related to solving multi-step equations, applying the Pythagorean Theorem, and calculating the volume of cylinders, cones, and spheres.

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Equations, Pythagorean Theorem, and Volume Calculations - Jeopardy Game

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  1. Jeopardy Multi-step Equations Pythagorean Theorem Volume of Cylinders Volume of Cones Volume of Spheres $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 Final Jeopardy

  2. Solve the multi-step equation. 12 = −4(−6x − 3) 1 - $100

  3. 1 - $200 • Solve the multi-step equation. • −20 = −4x − 6x

  4. 1 - $300 • Solve the multi-step equation. • −18 − 6k = 6(1 + 3k)

  5. 1 - $400 • One health club charges a $44 sign-up fee and $30 per month. Another health club charges a $99 sign-up fee and $25 per month. For what number of months is the cost the same?

  6. 1 - $500 • D. EZ Car Rental charges $40 a day plus $0.25 per mile. Ace Rent-a-car charges $25 a day plus $0.45 per mile. What number of miles results in the same cost for one day?

  7. 2 - $100 • Solve the triangle.

  8. 2 - $200 • Solve the triangle.

  9. 2 - $300 • Determine whether the triangle with given side lengths is a right triangle. • 7 yd, 24 yd, 25 yd

  10. 2 - $400 • A pool table is 8 feet long and 4 feet wide. How far is it from one corner pocket to the diagonally opposite corner pocket? Round to the nearest tenth.

  11. 2 - $500 • David leaves the house to go to school. He walks 200 m west and 125 m north. Calculate how far he is from the starting point.

  12. 3 - $100 • Find the volume of the cylinder.

  13. 3 - $200 • Find the volume of the cylinder.

  14. 3 - $300 • Find the volume of the cylinder.

  15. 3 - $400 • Fred wants to determine the maximum capacity of a cylindrical bucket that has a radius of 6 inches and a height of 12 inches. What is the capacity of Fred’s bucket?

  16. 3 - $500 • A cylindrical water tank has a diameter of 5.3 meters and a height of 9 meters. What is the maximum volume that the water tank can hold?

  17. 4 - $100 • Find the volume of the cone.

  18. 4 - $200 • Find the volume of the cone.

  19. 4 - $300 • Find the volume of a cone with radius 4 m and a height of 12 m

  20. 4 - $400 • A lampshade is in the shape of a cone. The diameter is 5 inches and the height 6.5 inches. Find the volume.

  21. 4 - $500 • Marta bought a paperweight in the shape of a cone. The radius was 10 centimeters and the height 9 centimeters. Find the volume.

  22. 5 - $100 • Find the volume of the sphere.

  23. 5 - $200 • Find the volume of the sphere.

  24. 5 - $300 • Find the volume of the sphere.

  25. 5 - $400 • A scoop of ice cream is in the shape of a sphere. The diameter of the scoop of ice cream is 2.5 inches. Find the volume of the ice cream.

  26. 5 - $500 • Mrs. McCullough is purchasing balloons for a party. Each spherical balloon is inflated with helium. How much helium is in the balloon if the balloon has a radius of 9 centimeters? Round to the nearest tenth.

  27. Final Jeopardy • A cone sits on top of a cylinder. Both have a radius of 5 feet. The height of the cylinder is 7 feet and the height of the cone is 3 feet. Determine the exact volume of thecombined solid.

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