Algebra II

Inverse Function

100

This is the inverse of y=3x+2.

What is y^-1=(x-2)/3?

200

This is the inverse of g(x)=2x+14.

What is (1/2)x-7?

300

This is the inverse of y=(x-6)².

What is y^-1=sqrrt(x) - 3 

400

DOUBLE JEOPARDY: 

This is the variable being solved for when finding the inverse of a function. 

What is y?

500

This is the inverse of y=3x³-6. 

What is the cuberoot of x+6 all divided by 3?

Radicals

100

This is the property for negative exponents.

What is x^-n=1/xⁿ?

200

This is the solution to the sqrrt of x²⁰ divided by the sqrrt of y⁸.

What is x¹⁰/y⁴?

300

This is the sqrrt of 36x².

What is 6x?

400

This is the 5th root of x¹⁰y¹⁵z⁵.

What is x²y³z?

500

This is the third root of (x+3)³/(x-4)⁶.

What is (x+3)/(x-4)²?

Exponents

100

This is the radical notation of 7^5/2.

What is the (Sqrrt(7))⁵?

200

DOUBLE JEOPARDY:

This is the exponent rule for a power to a power. 

What is (aⁿ)^m=a^nm?

300

The solution to 1/(32^-4/5).

What is 16?

400

This is the exponent rule that always equals 1.

What is a⁰?

500

This is the radical property of a base raised to a fractional power (x^m/n). 

What is (nth root of x)^m?

Evaluate

100

This is the fourth root of 16. 

What is 2?

200

This is the fourth root of 625.

What is 5?

300

This is the solution for the cube root of -27⁴.

What is 81?

400

This is the solution to 81^(-3/4).

What is 1/9?

500

This is the solution to the cube root of 125^-4.

What is 1/625?

Final Jeopardy

100

This is what it means to raise a number to a power. 

What is the number of times the base number is multiplied by itself?

200

These are the first 6 digits of pi. 

What is 3.14159?

300

These are the days of conferences. 

What is March 31st and April 1st?

400

This is the number of total days left until spring break.

What is A=15 B=14?

500

This is the current character trait. 

What is determined?