2019 Jeopardy Game

Vocabulary

100

Define diameter and radius and find out what the relationship between them are. 

Diameter-a straight line from one side of the circle to another

Radius-a straight line from one side of the circle to the center.

Relationship is that diameter is 2 times more than the radius or the radius is 2 times less than the diameter. 

200

Define function and linear function. 

Function is a rule that can be represented as a equation, table, graph or mapping.

Linear Function is a function whose graph is a straight and continuous line.

300

What is an input and output? What are some other words that mean the same?

An input is a set of numbers that can be plugged into a function. Domain is a set of numbers that you can get out of a function.

Input=domain, x , iv

Output=range, y, dv

400

Define scientific notation and rule of how the numbers should be like. 

Scientific notation is used to express a very large or a very small number as the product of two numbers.

The coefficient should be equal or greater to 1 but less than ten. The base must be 10 and the exponent represents the number of spaces that the decimal is moved(can be negative or positive).

500

Define Cylinder and find the relationship between a cylinder and cone. 

Cylinder is a 3-dimensional figure that has 2 congruent circular bases that lie in parallel planes. The relationship between a cylinder and cone is that it takes 3 cones to fill up a cylinder.

Volume and Area

100

Find the volume of a cylinder.

Diameter=4   Height=6.5

Volume=?

Volume=26πin³

200

Find the area of the base of a cylinder(round to the nearest tenth).

Radius=2 cm

Height=5cm

Area=?

Area=12.6

300

Find the volume of the sphere. Round to the nearest tenth.

diameter=16mm

Volume=2,144.7mm

400

Find the area of the triangle. Round to the nearest tenth.

Base=5.7cm     Height=9.5cm

Area=27.1cm

500

Find the volume of a cylinder with an indentation at the top in the shape of a cone.

Diameter=4in     Height=8in

Indent=1.5in

Volume=94.2in

Laws and Formula

100

Formula for a circle. (Both Area and Circumference)

Area=πr²

Circumference=πd or 2πr

200

Formula for a Cylinder and Sphere.

Cylinder=πr²h

Sphere=4/3πr³

300

Define Quotient Law.

When dividing expressions with the same base and different exponents, subtract the exponents and keep the base.

400

Define Product Law

When multiplying 2 powers with the same base, just add the exponents and the base stays the same.

500

Steps for adding and subtracting scientific notation.

If the exponents are the same, add or subtract coefficients and keep the exponents the same. (make sure that the answer is in correct scientific notation)

Equations

100

2x-3x-2=-7

x=5

200

10(3x+1)=-20

x=-1

300

-1(-2-v)-v=5v+32

v=-6

400

1/7k-6=3/7k+4

k=13

500

12(1/4(4x-1)-1/3(3/2x+3)=(3/2)12

x=5.5

Misc.

100

(3²)⁴

3⁸

200

2=-4.5(4)+B

B=20

300

How can you find the rate of change?

y²-y¹ DIVIDED BY x² - x¹

400

Find the volume of a cylinder. 

r=15cm     h=27cm

volume = ?

Volume= 6075πcm³

500

Find the volume of a cone.

r=9m  h=18m

Volume=?

Round to the nearest hundredth. 

Volume=1526.81m³