B1: Distributive Property
3(x + 1)
3x + 3
10x + 3x
13x
The common sentence starter to define a variable x would be...
Let x = the number of....
Create a single variable expression to model the distance a car moves when traveling 50 miles per hour for h hours.
50h where h = the number of hours driving
What does Mr. Donaruma eat for breakfast?
3 hard boiled eggs OR an apple
x(3x + 2)
3x2 + 2x
3x2 + 2x - 3 - 7x2 + 11 - 9x
-4x2 - 7x + 8
If a person makes 22 dollars per hour, and we say the money the earn can be modelled by the expression 22h, what does the "h" represent in the context of the problem?
h is the number of hours the person worked
One day, you look in a pond and see 2 frogs. The next day, you see 11 frogs. The next day, 20 frogs, and the pattern continues. Create a single variable expression to model the total amount of frogs in the pond after p days.
2 + 9p where p = the number of days
What English soccer team does Mr. Fearing primarily support?
Aston Villa (AVFC)
2x(-3 - 7x2)
-14x3 - 6x
3(x - 3) + 5(2 - 3x)
-12x + 1
You are selling cookies at a bake sale for $1 each, and you want to make a single variable expression to model the total money you have made. Define a variable to help you create your model
Let d = the number of cookies you sell
Mr. Donaruma’s investment portfolio hasn’t been doing so well. At the start of the year, his account had $14,750. However, he has noticed that every month he is losing around $150. Define a variable and create a single variable expression to model the amount of money remaining in Mr. Donaruma’s account.
14750 - 150t where t = the number of months since the start of the year
How many opportunities are you given to show competency on a benchmark or unit?
Infinite! (As long as you are showing effort)
-1/2x2(12 - 2x + 4x2)
-2x4 + 1x3 - 6x2
-2x(3 + 7x) - x2(4x + 2) + x3
-3x3 - 16x2 - 6x
If I say the expression 160 - 4r models the number of pieces of candy I have remaining after handing out 4 to each student, what does my variable r most likely represent?
In order to calculate Profit, you must take your Revenue (money earned) minus your Cost (money spent). Mr. Donaruma decided to open a pancake stand. The cart cost his $2,500, and his pancakes cost him about $0.45 each in ingredients. He sells the pancakes for $2.50 each. Define a variable and create a single variable expression to model the amount of PROFT Mr. Donaruma will make at his pancake stand
2.5c - 0.45c - 2500 where c=the number of pancakes made/sold
What is the title of the current unit we are studying in algebra?
Unit 1: Equivalent Expressions
(3x - 2)(4 - 12x)
-36x2 + 36x - 8
(x + 4)(12 - x) + (3x - 2)(-4 + x)
2x2 - 6x + 56
I have a stack of 5 pieces of wood. I don't know how much the wood weighs, but I know another stack of wood that is 4 times as heavy weighs 20m. What does my variable m most likely represent?
m is the weight of 1 piece of wood
To calculate the volume of a rectangular prism, you must multiply your length, width, and height. You are given a prism of unknown height, a length that is double the height, and a width that is 3 more than half the height. Define a variable and create a single variable expression to model the volume of your prism.
y*2y*(3+1/2y)
Mercury is on average closest to what other planet in the solar system?
All of them!