Algebraic Expressions & Linear Equations
Nicole has g glitter pencils and 12 regular pencils. Write the expression that shows the number of pencils Nicole has in all.
Glitter Pencils + Regular Pencils
ANSWER: g + 12
What is the missing number?
5, 25, 125, 625, ______, 15625
Geometric Sequence!
Common Ratio: 5
ANSWER: 3,125
Linear or exponential?
X -> Y
-1 -> 1
0 -> 3
1 -> 9
2 -> 27
3 -> 81
EXPONENTIAL!!!!!!!!!
SIMPLIFY:(-1)^2/3
1
When you walk into the classroom, what do you need to grab?
*name all 3 items for full points*
Writing stick, Binder, calculator
Lindsey got 24 glitter pens to put into goody bags. She splits them fairly among b goody bags. Write an expression that shows how many pens Lindsey puts in each bag.
Glitter Pens/ Goody Bags
ANSWER: 24/b
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term.
–2, –4, –6, –8, ...
f(n) = ...
f(n) = -2n
Both of these functions grow as x gets larger and larger. Which function eventually exceeds the other?
f(x) = 9^(x-3) - 5
OR
g(x) = 10x + 3
f(x)!
Write the equivalent statement to
5^1/3
Cube Root (5)
When you are done an assignment, where does it go?
Class bin
The theater department charged $5 per ticket for admission to the fall play, My Fair Lady. Additionally, they asked for a donation of x dollars per ticket to help buy new costumes. On Friday night, they sold 80 tickets to the fall play, and everyone who bought a ticket donated.
*2 ANSWERS*
80(5+x)
OR
400 + 80x
Which recursive formula can be used to define this sequence for
n>1?
f(n) = f(n-1)+12
Vijay has $9,582 in an account that earns 10% interest compounded annually.
To the nearest cent, how much will he have in 1 year?
Use the formula B=p(1+r)^t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
B = p(1+r)^t
p = $9,582
r = 0.10
t = 1
B = 9582(1+0.10)^1
B = $10,540.20
Write the equivalent statement
7^(2/5)
fifth root(7)^2
If you miss a day and we do a physical piece of paper, where can you find that paper?
Back wall under your class in the day you missed folder
Liz's soccer team went to their favorite frozen yogurt shop last night after practice. The shop charges $4 for a cup of frozen yogurt and x dollars for each topping. Each of the 12 players on Liz's team got a cup of frozen yogurt with 3 toppings.
*2 ANSWERS*
Players ( Frozen Yogurt Price + Topping Price(Amount of Toppings))
12(4+3x)
OR
48+36x
Write an expression to describe the sequence below. Use n to represent the position of a term in the sequence, where n = 1 for the first term.
24, 48, 72, 96, ...
FUNCTION NOTATION
f(n) = 24n
Clayton deposited $1,132 in an account earning 12% interest compounded annually.
To the nearest cent, how much will he have in 5 years?
Use the formula B=p(1+r)^t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
B = p(1+r)^t
p = 1132
r = 0.12
t = 5
B = 1132(1+.12)^5
DDDDAAAAANNNNNGGGGGG
Simiplify.
c^(3/2) x c^(3/2)
Bases are the same? Yes.
Bases are being multiplied? Yes.
ADD. YOUR. EXPONENTS.
c^3
Where can you find all of your homework assignments?
Google classroom
Luna is a cook at a diner. Before the diner opened, she used 12 eggs to make a large frittata that will be sold by the slice. She will also use 3 eggs whenever someone orders an omelet.
Write an equation that shows how the total number of eggs used, y, depends on the number of omelets ordered, x.
Eggs used = Omelet Eggs(# of omelets) + Frittata Eggs
y = 3x + 12
Here is the initial term and recursive formula for a sequence:
f(1)=–9
f(n)=f(n–1)+4
Which explicit formula can be used to define this sequence?
FUNCTION NOTATION
f(n) = 4n - 13
Write an exponential equation in the form y= a(b)^x that can model the predicted monthly sales of Levitate Lites, y, x months after the release of the Cloud Strider.
Then: How many monthly sales of Levitate Lites expected to be less than 100?
a = Initial Value
b = Growth/Decay Factor in a decimal
ANSWER 1: y = 228(0.85)^x
ANSWER 2: 6 months
SIMPLIFY
w^(5/3) x w^(9/4)
Bases are the same? Yes.
Bases are being multiplied? Yes.
ADD. YOUR. EXPONENTS.
w^ 47/12
Two part question:
When you have to leave the room, where do you request a pass?
What happens when you can't leave the room?
Minga
Wait until a pass frees up