Exponents
Order of Operations
Two related quantities
IND and DEP variables
RANDOM!! :)
100
Expand and solve the following exponential expression.
154
15 times 15 times 15 times 15
50,625
100
Simplify the following expression:
5
100
An athlete’s heart beats at a steady rate after a workout. Fill in the missing values and write the equations to find the beats and find the time.
time (t) 2 ? 6
beats (b) 140 560 ?
b = 70t and t = b/70
time = 7
beats = 420
100
To join a gym, there is a one-time joining fee of $50 plus a monthly fee of $30. The total amount spent (A is calculated based on the number of months (m) you are a member. Identify the independent and dependent variables.
IND: Months
DEP: Amount spent
100
Botanically speaking, which common yellow fruit is technically a berry, while a strawberry is not?
A Banana (Strawberries are "accessory fruits" because their seeds are on the outside!)
200
How can you rewrite 92 in expanded form?
9 x 9
200
Simplify the following expression:
62
200
A bakery sells gourmet cookies. Fill in the missing values in the table and write the equations to find the cookies and to find the cost.
Cookies (c) 3 5 ?
Cost (m) $9 ? $24
m = 3c and c = m/3
8 cookies
$15
200
Sarah is driving at a constant speed of 60 mph. Identify the independent and dependent variables.
IND: Hours
DEP: Miles
200
Make a graph of the following problem. A local coffee shop charges a constant price for every latte sold. Last week the coffee shop sold 86 coffees and made a total of $344.
Make sure you...
- label each axis with your variables
- go up by 1s on your x-axis and not the exact number on the y-axis (unless it is less than 3, then it is okay)
- plot your points as best you can
300
How can you rewrite the following in exponential form?
7 x 7 x 7 x 7 x 7
75
300
45
300
A baby blue whale gains 200 pounds every 4 hours. Write an equation on how to find the weight of the whale AND an equation to find the amount of hours. weight (p) and hours (h)
p = 50h
h = p/50
300
A scientist is studying how the amount of sunlight a sunflower receives affects its height. Identify the independent and dependent variables. If the sunflower grows 6 inches for each 3 days of sunlight, what is an equation to represent this relationship of finding the height?
IND: Amount of sunlight
DEP: Height of the sunflower
h = 2s
300
How old is Mr. Tometz?
29
400
When you see the following expression, what is the big number called and what is the little number on top of it called?
24
Big number = base; little number = exponent
400
3 + 42 * (3 + 2)
83
400
A landscaper charges $175 for 5 hours of work. Write an equation to represent the total cost (y) for any number of hours (x).
y = 35x
400
A pizza shop charges $15 per pizza delivered. Identify the independent and dependent variables. What is the equation that represents how you find the cost?
IND: Pizza
DEP: Cost
c = 15p
400
A local coffee shop charges a constant price for every latte sold. Last week the coffee shop sold 86 coffees and made a total of $344. Make an equation about this word problem to find the money made.
c = 4L
500
What is the value of:
84
4096
500
What is your order of operations and what does each letter stand for?
500
A soda machine dispenses 48 ounces of soda in 8 seconds. Write an equation to represent the relationship between total ounces (y) and seconds (x)
y = 6x
500
For every level of brightness you turn up on your phone, the battery percentage drops by 5%. Identify the independent and dependent variables.
IND: Brightness
DEP: Battery percentage
500
If you were standing in space and screamed as loud as you could, why would nobody hear you?
There is no air/atmosphere (Sound needs a medium like air or water to travel through!)