Product, Quotient, and Zero Exponent Rules
Power Rule, Negative and Fractional Exponents
Simplest Radical Form (Level 1)
Domain and Range
A Little Bit of Everything
100

Find the value of  12x^0 .

What is 12?

100

Use the Power Rule to express the following without parentheses:

 (3x^5)^2 

What is  9x^10 ?

100

Simplify  sqrt(63 .

What is  3 sqrt (7) ?

100

What is the domain of the function  y=sqrt(x-1) ?

What is  [1,oo) ?

100

This is the hardest mineral on the Mohs scale.

What is diamond?

200

Express as a single term:

 3x^6 * 2x^7 

What is  6x^13 ?

200

Express the following using a fractional exponent:  root(3)(x^5) 

What is  x^(5/3) ?

200

Express  sqrt(12x) in simplest radical form.

What is  2 sqrt(3x) ?

200

What is the range of the function  y=1/x ?

What is  (-oo,0)uu(0,oo) ?

200

The term for a U.S. senator lasts this many years.

What is 6?

300

Simplify using the Quotient Rule:

 (6x^8)/(3x^2) 

What is  2x^6 ?

300

What is the exact value of  (7/6)^-1 ?

What is  6/7 ?

300

Express  sqrt(-18)  in simplest radical form.

What is  3i sqrt(2) ?

300

What is the range of the function  y=-sqrt(x+4)+2 

What is  (-oo,2] ?

300

If something has a neutral pH, then its pH is this.

What is 7?

400

What is the exact value of  ((-3x^4y^6z^3)/(2x^2y^8z^3))^0 ?

What is 1?

400

Express the fraction  (3/4)^-2 without an exponent.

What is  16/9 ?

400

Express  root(3)(8x^7) in simplest radical form.

What is  2x^2root(3)(x) ?

400

What is the domain of the function  y=-sqrt(4x+8)-7 

What is  [-2,oo) ?

400
This is the most populous city in the United States.

What is New York City?

500

Find the product of  (4x^5)/(3x^2) and  (7x^3)/(4x) in simplest form.

What is  (7x^5)/3 ?

500

Express the following without any negative exponents:  ((-7x^4y^-3)/(9x^-2y^5))^-2 

What is  (81y^16)/(49x^12) ?

500

When  sqrt(k) is written in simplest radical form, it becomes  5 sqrt(3) . What is the value of k?

What is 75?

500

What transformations would have to take place to the function  f(x)=sqrt(x)  to change the range from  [0,oo) to  (-oo,6] ?

What is:

Reflection over the x-axis and translation 6 units up?

500

When Amazon was founded, it only sold this kind of product.

What are books?

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