Exponent Properties
What is the "Johnson Rule" (copyright 2023)
"When in doubt, ____________"
"... expand it out."
*You now owe me royalties for saying it.
Who is the mascot of our Scientific Notation unit? And what does his name stand for?
LARS: Left add, right subtract
In the exponential function y = a(b)x, the a is the ______ and the b is the _______.
* Multiplier
* Initial value (or, y-intercept)
a is initial value (y-intercept)
b is the multiplier
True or False.
All exponential functions are either exponential growth, or exponential decay.
TRUE.
When does class start every M/W/F?
11:00, or when Edgar arrives.
*Both answers are acceptable
Simplify (2x4)3
8x12
Rewrite in scientific notation
0.003218
3.218 x 10-3
Write an exponential equation with a = 4 and b = 1/2
y = 4 (1/2)x
y = a(1 + r)t is an example of exponential ______.
Growth
Who knows many times have I said the word "algebraically" this semester (and yes, this one right now counts)
Bali, a.k.a. The Count
Simplify (16x8) / (2x5)
8x3
Convert to scientific notation using your BFF, LARS.
465.21 x 105
4.6521 x 107
Write the exponential function for a graph that goes through (0, 8) and (1, 4).
y = 8(1/2)x
The exponential decay function
y = 400(1 - 0.15)x
has an initial value of ____ and a rate of decay of ___%
Initial value = 400
Rate of decay = 15%
What is the best food item on the planet?
Peanut M&M's.
Any fish-related answers will be an additional -300.
Simplify -3(2x4y5)0
-3
Multiply, and give your answer in scientific notation. Use your BFF, LARS, if you need help.
(3.1 x103)(4.2 x 105)
1.302 x 109
For the following ordered pairs, write an exponential function.
(0,1) (1, 4) (2, 16) (3, 64)
y=1(4)x
Write an exponential decay function for the following.
The initial value is 1000 and the rate of decay is 3.5%.
(Use x and y as your variables)
y=1000(1 - 0.035)x
Who is always the first person to type in the chat... and what does he type?
Same answer for both: HIOP. (Wesley is also acceptable)
Simplify (-4x0)(y-2x2) so that there are no negative exponents.
-4x2 / y2
Subtract and give your answer in scientific notation, using your BFF, LARS, if you need help.
(4.5 x 105) - (2.3 x 103)
4.477 x 105
Write an equation for the following function.
(1, 9) (2, 27) (3, 81)
y=3(3)x
Find the following for the compound interest problem:
A = 5000(1 + 0.04/12)12x
What is the principal amount invested? ____
What is the interest rate, as a percent? ___
How often is it compounded? ___
P = $5000
r = 4%
n = 12, so... monthly
What school year was Demetrius actually an Algebra student?
A. 20/21
B. 21/22
C. 22/23
A. 2020-2021.
Bonus +100 if someone (other than Demetrius) says "technically just 2021 because he only took second semester/1B"