Vocab
Given a graph
Create equations
100
What is slope intercept form?
y=mx+b
100
What is the solution to this system?
(2,2)
100
If Joe puts $350 in the bank and spends $50 a week, what does this equation look like?
y = -50x + 350
200
What is the formula for slope?
rise over run, change in y over change in x
200
What is the solution of this system?
(1,-3)
200
Molly is helping her younger sister run a lemonade stand. They earn $2 for each cup of lemonade they sell.
Write an equation that shows how their total earnings, y, depend on the number of cups sold, x
y= 2x + 0
300
Definition of System of Equations
2 or more equations that use the same variable
300
What is the solution of this system?
(3,8)
300
It costs $8 to rent skates from the ice rink and $2 per hour you skate. Write an equation for the total cost based on x hours
y= 2x + 8
400
Definition of Solution of a System
The coordinate point that makes both equations true
400
What does the solution mean in this situation?
3 sandwiches and 5 lemonades
400
Mr. McClain is contemplating which chauffeured car service to take to the airport. The first costs $30 up front and $2 per kilometer. The second costs $20 plus $3 per kilometer.
Write the system of equations
y= 2x + 30
y= 3x + 20
500
What is the point of intersection?
Point that makes all equations true in a system
500
How many solutions does this system have?
No solution
500
Is (5,3) a solution for the following system?
y= 2x - 7
y= -3x + 18
Yes