Power Functions
Exponent Rules
Compound Interest
Geometric Sequences
nth Roots and Rational Exponents
100
The probability of getting each question correct on a quiz by guessing, if the quiz has 10 questions and each question is multiple choice with 4 answer choices.
What is (1/4)10?
100
Simplify (a2b-7c4) / a5b3c-2.
What is c6 / a3b10?
100
The balance in an account compounded annually that had a principal amount of $8000 and an interest rate of 5% after 10 years.
What is $13,031.15?
100
The first three terms of the sequence defined by the recursive formula g1 = 12 and gn = -0.1gn-1.
What is 12, -1.2, and 0.12?
100
Evaluate 81(-1/4).
What is 1/3?
200
The quadrants where you will find the graph of x8.
What are quadrants I and II?
200
Simplify (w-2j-4)-3 (j7j3)?
What is w6j22?
200
The balance in an account compounded quarterly with a principal amount of $500 and an interest rate of 4%, after 6 years.
What is $634.86?
200
The constant ratio of the following geometric sequence: 4, -3, 2.25, -1.6875...
What is -0.75?
200
The number of 6th roots of -36 that are real roots.
What is zero?
300
The range of f(x) = x3.
What is all real numbers?
300
Simplify (ab3 / a5b) -2.
What is a8 / b4?
300
The effective annual yield of a 6% account that is compounded monthly.
What is 6.168%?
300
The recursive formula for the following sequence: 6, -12, 24, -48, 96...
What is g1 = 6 and gn = -2gn-1?
300
The 5th power of the 9th root of x.
What is x5/9?
400
The point (-2, 64) is on the graph of an nth power function where n is even. Why must the point (2, 64) also be on the graph?
All even nth power functions are symmetric to the y-axis.
400
Simplify (2t5)3 / (4t8t-1) ?
What is 2t8?
400
The amount of interest earned on an amount compounded quarterly with a principal amount of $3000 and an annual interest rate of 5.25%, after 4 years.
What is $695.98?
400
The explicit formula for the following sequence: 4, 20, 100, 500, 2500...
What is gn = 4(5)n-1?
400
The solution of x5/4 = 243.
What is x= 81?
500
Sketch the graph of f(x) = x6.
What is a parabola that goes through the points (-1,1), (0,0), and (1,1)?
500
Simplify (4m2)(3n5) / ((2m-3)(-mn)3)?
What is -6m2n2?
500
The amount invested ten years ago in a bond paying 6% interest compounded annually if the bond is now worth $7500.
What is $4187.96?
500
The height that a ball reaches after its fifth bounce, if the ball is dropped from 200 feet and bounces to 75% of its previous height after each bounce.
What is 47.46 feet?
500
The solution of y-3/5 = 1/8.
What is y = 32?