Exponents
Exponential Equations
Linear Equations
Systems of Equations
Miscellaneous
100
Simplify the following:
7x^2*2x^4
14x^6
100
Congratulations!! You win the choice between:
A - You magically get $100 dollars every single day!
B - You get one dollar today but your dollar will double every single day for an entire year
Which option is better?
Option B - When increasing exponentially, it will eventually outpace linear functions
100
What is the official formula for slope?
100
What are the three ways to solve systems of equations?
Substitution
Elimination
Desmos! - Find intersection
100
What is the median of the following data set?
3 , 7 , 9, 5 , 2
Median: 5
200
Simplify the following:
(3a^2b^4)^3
27a^6b^12
200
What is the growth factor in the relationship below?
4 / quadrupling
200
What are the two forms to create linear equations that we have learned in this class?
Slope-intercept form / y=mx+b
Standard form / Ax+By=C
200
Systems that have no solutions either are:
A) Perpendicular lines
B) Parallel Lines
C) Overlapping Lines
B) Parallel Lines
200
What's Ms. George's favorite color?
A) Blue
B) Green
C) Purple
D) Rainbow
D) Rainbow
300
Simplify the following:
(20x^4y^3)/(4xy^2)
5x^3y
300
When writing exponential equations, the general form is: y=a*b^x
What do the a and b stand for in the equation?
a - Initial Value
b - growth / decay factor
300
Create a linear equation and solve for the following situation.
Tyrese started with 150 dollars in his savings account. He consistently earned 75 dollars each day he worked. Tyrese wanted to figure out how long it would take him to have 900 in his savings account.
900=150+75x
10 days at work
300
Perpendicular lines share what kind of slope value?
Opposite reciprocal
300
There is an empty basket that is 1 foot in diameter. What are the total number of eggs that can fit into the empty basket?
1
400
Simplify the following:
(2x^5y)^3*x^2y
8x^17y^4
400
A colony of ants has a population of 4,000. The colony decreases by 1/5 each year. How many ants are there going to be remaining in 3 years?
Create an exponential equation and solve.
y=4000(4/5)^3
answer: 2048
400
Rearrange the following equation into slope-intercept form:
6x+2y=10
y=-3x+5
400
Create an equivalent expression that creates infinite amount of solutions with the following equation:
3x-4y=11
Example:
6x-8y=22
400
Riddle: I am an odd number. Take away one letter and I become even. What number am I?
S-Even
500
Simplify the following:
((5a^3b^7)^2*b^6c^-11)/a^4
(25a^2b^20)/c^11
500
Create an equation for the following function
Hint: Utilize y=a*b^x
y=8*(3/4)^x
500
Isolate for variable h in the following
V=1/3bh
(3V)/b=h
500
Solve the following:
5x+y=2
-3x+y=-14
(2,-8)
500
What is a realistic domain for the following situation:
P(h) represents the function notation for the total number of people that came to visit the museum from their opening hours of 10am-4pm. Throughout the course of the day over 250 people came into the museum. Let h, represent the hours since the museum opened.
Bonus question: Identify the range in the situation
Domain: 0<h<6
Range - 0<P(h)<250