Algebra 2 MP3 Review Jeopardy!

Solving rational equations

100

What is the least common denominator for the following

1/(x) + 1/(2) = 1/(2x)

2x

200

What is the least common denominator for the following

1/(x-1)  +  1/(x-2)  = 1/(x²-3x+2)

x²-3x+2   or (x-4)(x-2)

300

Solve the following. Check for extraneous solutions.

1/(x+3)  +  1/(x+2)  =  1/(x²+5x+6)

No solution.

-2 is extraneous

400

Solve the following. Check for extraneous solutions.

2/(x-5)  +  1/(x+2)  =  3/(x²-3x-10)

x = 1

500

Solve the following. Check for extraneous solutions.

3/(x-3)  +  4/(x-4)  =  4/(x²-7x+12)

No solution.

x=4 is extraneous

Polynomial Division

100

Rewrite the following in the form q(x)+r(x)/d(x)

x+3 / x+1

1 + 2 / x+1

200

Rewrite the following in the form q(x)+r(x)/d(x)

4x-1 / x+1

4 - 5 / x+1

300

Rewrite the following in the form q(x)+r(x)/d(x)

3x-4 / x+2

3 - 10 / x+2

400

Rewrite the following in the form q(x)+r(x)/d(x)

6x+4 / 2x+2

3 - 2 / 2x+2 

500

Rewrite the following in the form q(x)+r(x)/d(x)

12x+4 / 3x

4 + 4/3x

Sin & Cos Ratios

100

sin(theta)= 4/5 for an angle in quadrant 1. 

Determine the exact value for cos(theta)

cos(theta) = 3/5

200

sin(theta)= -4/5 for an angle in quadrant 4. 

Determine the exact value for cos(theta)

cos(theta) = 3/5

300

sin(theta)= 7/10 for an angle in quadrant 1. 

Determine the exact value for cos(theta)

cos(theta) = square root (51) / 10

400

cos(theta)= -4/6 for an angle in quadrant 3. 

Determine the exact value for sin(theta)

sin(theta) = - square root (20) / 6

500

sin(theta)= -2/5 for an angle in quadrant 4. 

Determine the exact value for cos(theta)

cos(theta) = square root(21) / 5

Ferris Wheel

100

Given the following equation for the height of a rider on a ferris wheel, determine the radius of the wheel.

45sin(8t) + 60

radius = 45 

200

Write a trigonometric function to model the following ferris wheel.

Radius: 30 feet

Center: 40 feet

One revolution every 60 seconds, starting at the far right.

30 sin(6t) + 40

300

Write a trigonometric function to model the following ferris wheel.

Radius: 20 feet

Center: 25 feet

One revolution every 30 seconds, starting at the far right.

20 sin(12t) + 25

400

Write a trigonometric function to model the following ferris wheel.

Radius: 32 feet

Center: 40 feet

One revolution every 60 seconds, starting at the bottom.

- 32 cos(6t) +40

500

Write a trigonometric function to model the following ferris wheel.

Radius: 30 feet

Center: 45 feet

One revolution every 40 seconds, starting at the bottom.

- 30 cos(9t) +45

Random Trivia

100

What is the name of the voodoo doctor in the princess and the frog?

Facilier

200

Who is the oldest Kardashian sister?

Kourtney

300

What common species of butterfly have orange and black wings?

Monarch Butterflies

400

Natasha Romanoff is also known as which superhero?

Black Widow

500

Which continent gets the least amount of rainfall?

Antarctica