Writing & Solving Equations
Marilyn is buying avocados for $3 a pound and tomatoes for $1.99 a pound.
Identify any important quantities. For a known quantity, write the number and short description of what it represents. For an unknown quantity, assign a variable and write a short description of what that variable represents.
Known:
3 - cost of avocados per pound
1.99 - cost of tomatoes per pound
Unknown:
a - pounds of avocados
t - pounds of tomatoes
C - Total Cost
What does it mean for 2 equations to be equivalent?
It means they have the same solution.
Rewrite the equation in terms of r.
x + r = y
r = y - x
Student tickets to the baseball game cost $4 and adult tickets to the game cost $12.
Write an equation that represents the total cost of going to the baseball game using the quantities and variables.
4c + 12a = T
Are the 2 equations below equivalent?
5x + 12 = 22
5x = 10
Why or Why not?
Yes
Because they both have the solution, x = 2
Rewrite the equation in terms of x.
4x + 7y = G
x=(G-7y)/4
A basic gym membership costs $45 a month. Additionally, members need to pay extra for each personal training session.
Let C represent the total monthly cost of going to the gym, let a represent the additional charge per training session, and let s represent the number of training sessions per month.
Write an equation that shows the relationship between total cost, base fee, and training sessions per month.
C = 45 + as
Generate as many equivalent equations as you can think of for each equation below which lead to a solution.
8x + 4x - 9 = 5x + 33
12x - 9 = 5x + 33
7x - 9 = 33 OR 12x = 5x + 42
7x = 42
x = 6
Rewrite the equation in terms of r.
C = 24 + nr
r=(C-24)/n