Exponent Rules
Vocab
Mini-Units
Transformations
Random Knowledge
100
Simplify the following fully, using only positive exponents in your solution:
5^7*5^2
5^9
100
What is the following commonly referred to as?
A^2+B^2=C^2
Pythagorean Theorem
100
Is the following value rational or irrational?
sqrt15
Irrational - decimal does not stop or repeat so it cannot be a fraction
100
What type of transformation occurred in the following image?
Translation
100
True/False:
Mr. O'Connell is better than you when it comes to throwing frisbees.
True
200
Simplify the following fully, using only positive exponents in your solution:
(4^2*4^5)/4^4
4^3
200
Why are these two shapes congruent?
Because they are exactly the same.
+100 bonus for: All angles and sides are congruent/the same
200
Describe the following correlation with two words
Weak, Negative
200
Name the exact transformation that occurred to map the solid figure onto its image:
Reflection over the y-axis
200
Who wrote Hamilton?
Lin-Manuel Miranda
300
Simplify the following fully, using only positive exponents in your solution:
(8^7)^2/(8^10*8^3)
8
or
8^1
300
If two shapes are similar, they have ________ angles and ________ sides
Congruent angles and proportional sides
300
Is the following value rational or irrational?
4/7
Rational - it is a fraction of integers
300
Name the exact transformation that occurred to map the solid figure onto its image:
Rotation 90 degrees counterclockwise
300
What day this school year did I celebrate my 1 billionth second of life?
November 3rd 2025
400
Simplify the following fully, using only positive exponents in your solution:
7^-4/7^-6*7
7^3
400
What is the name given to a combination of a translation and a reflection that would result in the same image regardless of order?
Glide Reflection
400
Solve for x:
x^3=27
x=3
400
Create a sequence of transformations that would map figure A onto figure B:
1. Clockwise rotation of 90 degrees around the origin then translate up 2 units
2. Translate left 2 units then rotate clockwise 90 degrees around the origin
400
Name two of the ten most populated cities in the world (as of 2018):
500
Simplify the following fully, using only positive exponents in your solution:
(1/2^4*2^5)^-3
1/2^3
500
1) Draw an isosceles triangle with possible angle and side lengths.
2) What is the vocabulary term for the angles of an isosceles triangle that are congruent?
1) Triangle must have: 2 equal side lengths, 2 congruent angles, angles that add to 180 degrees, and "possible" side lengths.
2) 'The Base Angles' are congruent
500
Solve for x:
3x^2+5=113
x=6 or x=-6
500
Create a sequence of transformations that would map figure A onto figure B:
Many acceptable answers
500
Name the 2 professional ultimate frisbee teams Mr. O'Connell has played for. City and team name required.
(250 points each) +100 bonus for years played
Philadelphia Phoenix (2015 and 2021)
New York Empire (2018 - championship year)