Writing & Solving Equations
Equivalent Equations
Rewriting Equations
100

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

100

What does it mean for 2 equations to be equivalent?

It means they have the same solution.

100

Rewrite the equation in terms of r.

x + r = y

r = y - x

200

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

200

Are the 2 equations below equivalent?

5x + 12 = 22

5x = 10

Why or Why not?

Yes

Because they both have the solution, x = 2

200

Rewrite the equation in terms of x.

4x + 7y = G

x=(G-7y)/4

300

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

300

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                      

300

Rewrite the equation in terms of r.

C = 24 + nr

 r=(C-24)/n