Party Planning!
m=cost of main dish
n=cost of side dishes
s=Number of side dishes
t=cost of entire meal
Make an equation showcasing the cost of the entire meal.
T=m+ns
Write and solve the equation for this scenario:
Apples are $3.99 per pound. Arjun buys b pounds of apples for $19.95
3.99b=19.95
B=5
What is a quantity that varies?
A quantity that varies are different numbers that have no proportional relationship.
Which property of equality allows you to add the same number on both sides of an equation?
Addition Property of Equality
How can a graph help us find solutions to two-variable equations?
A graph can represent all co-ordinates (solutions) that can satisfy the equation
What is the definition of a constraint?
A constraint is something that limits what is possible or reasonable in a situation
Noah earned n dollars over the summer. Mai earned $275, which is $45 more than Noah did. Write an Equation.
n=275-45 or n+45=275
What is a fixed quantity?
A fixed quantity is a quantity that stays constant or has a proportional relationship.
Solve 3x+7=19
x=4
A cell phone plan costs $50 per month plus $10 per gigabyte of data. Write an equation models the cost, c.
C=10d+50
Make party plan equation based on these variables:
m=cost of main dish
n=cost of side dishes
s=Number of side dishes
t=cost of entire meal
Depends
In Michigan, the tax of a car that's been sold is 8%. Now pretend you are going to a dealership. But they also charge an extra fee of $200. What is your equation when the original car price $14,400?
T= Total Price
T= 1.06(14,400)+200
Anishka wants to join a soccer club. The starting fee is $50. The monthly fee is $10. If she goes to the club for 9 months, how much money will she spend?
She will spend $140.
What step comes first when solving 5x-5=30?
Add 5 on both sides
In a graph, what are the dependent and independent variables?
Dependent: y variable
Independent: x variable
What does m = s + 4.50 mean using these variables?
m represents the cost of a main dish.
• n represents the number of side dishes.
• s represents the cost of a side dish.
• t represents the total cost of a meal.
The main dish is equal to the side dish plus $4.50
Lokesh earned $25 over the summer. Arjun earned $w more than Lokesh. Their total earnings over the summer is $100. What is the value of w?
w=50
A plumber charges $50 to visit a house. He also charges $25 per hour, h. What is the equation that represents this relationship in terms of the total cost, c ?
c=25h+50
2(y-5)=10 Solve for y.
y=10
A graph shows the cost of parking depending on the number of hours parked. Explain what the graph shows about how the cost changes as you stay longer.
The cost of parking increases as the number of hours increases.
As a reward for achieving their goals, all students in the eighth grade are invited to an ice cream party.
Write an expression that could represent an estimated cost for a party. Use at least one letter. State what each part of the expression represents. The total price can't go over $500
Depends
When might it make sense to use numbers in a situation? When might it make sense to use variable in a situation?
It makes sense to use numbers when the quantity is known. It makes sense to use variables when the quantity is unknown
A school wants to give money to a charity. In order to do so, the school saves money in a school fundraiser by selling packs of school supplies. Eack pack of supplies costs $9. How much will the school give to the charity?
What is missing in this situation if you want to pinpoint an actual number? What would the variables represent?
y=9x
x: the amount of packs sold
y: the total money given to the charity
The amount of packs sold
What property is used when rewriting 5(5y+2) into 25y+10?
Distributive property
In a graph showingcasing someone's budget, what would points under the line tell us? What would points over the line tell us?
Points under the line will tell us that the item that is under budget. Points over the line will tell us that the item is over budget.