1. Warm-Up 11/16 Let x represent # of hotdogs sold and let
y represent # of sodas sold

2. Opening 11/16

3. How do we graph standard form equations?
You could start by finding the x and y intercepts:
Find the y intercept by
replacing x with 0
(that means no hot dogs are sold)
x +.50y = 200
(0) + .50y = 200
.50y = 200
y = 400
Y – intercept is
(0,400)
Find the x intercept by
replacing y with 0
(that means no sodas are sold)
x +.50(0) = 200
x = 200
x – intercept is
(200,0)

4. How do we graph standard form equations?
Determine an appropriate scale for your graph
Then, plot the x and y intercepts:
For example:
A scale of 1: 40 would work on the y axis and a scale of 1:20 would work on the x axis

5. You try example 2 Let x represent cost of 1 adult ticket and let
y represent cost of 1 child ticket

6. Let’s check

7. Selecting possible values for x and y?
Select the correct values for x and y:
Adult tickets cost $10 and Child Tickets cost $5 
Adult tickets cost $12 and Child Tickets cost $6 
Adult tickets cost $9 and Child Tickets cost $8 
Adult tickets cost $8 and Child Tickets cost $9 
Solution: values that can replace the variables and make the equation true

8. Selecting possible values for x and y?
George has a collection of nickels and dimes. He has a total of 28 coins in his collection which is worth $ Set up a system of equations to model George’s coin collection.
Variables: x = nickels, y = dimes
Equation 1: .05x + .10y = 2.60
Equation 2: x + y = 28
Select the correct values for x and y (Both equations have to be true:
4 nickels and 20 dimes 
40 nickels and 6 dimes 
24 nickels and 4 dimes 
4 nickels and 24 dimes 
Solution: values that can replace the variables and make the equations true

9. Selecting possible values for x and y?
Determine if the point is a solution to both equations:
y = 2x – (1, 1)
x + 2y = 3
2x – y = (-1, -3)
3x – 2y = 9
4x + 2y = (1, -2)
5x – 2y = -9
Solution: values that can replace the variables and make the equation true

10. Steps for Writing Equations
Highlight all of the important information
 Determine your unknowns and select variables to represent these
Write the equation to represent the situation
Substitute ordered pairs for your variables or values to check your solution
Explain what your solution means in terms of the real situation.

11. Turn in your completion page to your teacher
Work Time
Your turn to practice
Complete questions 1 – 10
Turn in your completion page to your teacher
Homework:

12. What is a Solution?
Explain in your own words what it means to find a solution to an equation algebraically and graphically.