Graphing
Substitution
Elimination
Equal Values
Word Problems
100
The solution to the system is 
(4, -3)
100
x = 4
y = 2x + 1
(4, 9)
100
Is this system ready for elimination?
No. Both not in standard form.
100
Can you set these equations equal to each other?
x = 4y - 3
y = -2x + 5
No
100
A phone plan is $50 a month plus a $20 start up fee. Is this the correct equation to model this?
50x + 20y = 70
No.
It's y = 50x + 20
200
The solution to the system is
No Solution
200
y = -10
x = 2y2 + 3y
(70, -10)
200
Which variable gets eliminated when you add the equations?
x
200
Can you set these equations equal to each other?
x = 9y + 5
3y - 7 = xYes. They both are set equal to x
200
You sell adult tickets for $5 and kids tickets for $3. If you made a total of $150, would this be the correct equation to model this situation?
5x + 3y = 150
Yes
300
What will an infinite solutions graph of a system of equations look like?
A. Two lines intersecting at a single pointB. Two Parallel Lines
C. A single line. (2 lines on top of each other)
C
300
x = y + 7
2x + y = -1
( 2 , -5 )
300
Now solve it.
( -1 , -1)
300
Solve this system using equal values method
y = 3x
y = 2x + 1
( 1 , 3 )
300
Set up the equation for this situation.
Your Tic Toc account decides to start charging a fee. It's $2 a month and $10 to start. Use variables x for months and y for total charge.
y = 2x + 10
400
Sketch the following to find the solution
y = 2x + 1
y = -x + 4
(1, 3)
400
y = -2x + 4
3x + 2y = 9
( -1, 6 )
400
What needs to be done to set up for elimination?
Multiply bottom equation by 3 or
Multiply bottom equation by -4
400
Solve this system using Equal Values method
x = y + 3
x = -2y - 6
( 0 , -3 )
400
Set up the equation for this situation
Wait, now Instagram is charging too. They want $3 a month but no sign up fee. Use variables x for months and y for total charge.
y = 3x
500
Sketch the following to find the solution
y = 1/2 x - 5
y = -2x + 15
( 8, -1 )
500
x = 3y + 7
3x - 4y = -4
( -8, -5 )
500
Now solve it
( 8, -1 )
500
Solve this using the equal values method
y = 2x + 9
y = 2x - 5
No Solution
500
Since Tic Toc and Insta are charging, you have to decide which one you want. Find the amount of months, x, and total charge, y, such that the cost is the same.
y = 2x + 10
y = 3x
x = 10, y = 30