x+6=-7x+54
x=6
How many solutions does this equation have:
2x-4=2x+7?
No solution
x: -2|-1|0|1 |2
y: -2|2 |6|10|14
What is the rule?
y=4x+6
Is this a complete graph? 
Yes
Mary receives 5 bales of hay per week to feed her little lamb. Mary has about 7 saved up for winter. What is the rule for her total bales of hay?
y=5x+7
3x+4-x=-4x+28
x=4
How many solutions does this equation have:
3x-6=-2x+7?
One solution
x: -2|-1|0|1|2
y: 3| 4|5|6|7
What is the rule?
y=x+5
Is this a complete graph?

No - it is missing the intervals and the axes labels.
If Mary receives bales of hay for 4 weeks, how many total bales will she have?
*Remember the rule: y=5x+7
27 bales
-(x-4)=-6x+19
x=3
How many solutions does this equation have:
7x+3=7x+5-2?
Infinite solutions
x: -2|-1|0|1 |2
y: 13| 8|3|-2|-7
What is the rule?
y=-5x+3
Is this a complete graph?
No - it is missing the arrows on the end of the line.
If Mary has a total of 42 bales, how many weeks has she received bales of hay?
*Remember the rule: y=5x+7
7 weeks
-2(3x+1)= -4x+2
x=-2
How many solutions does this equation have:
5x+9-3x=6x-4x-12?
No solution
x: -2|-1|0|1|2
y: 8| 7|6|5|4
What is the rule?
y=-x+6
Is it a complete graph?

The itsy bitsy spider is setting up camp in a new barn. He makes 1 web each night that never gets torn down. He also has 5 that were permanently set up in the highest point of the barn. What is the rule for how many cobwebs that will be there each day after he has moved in?
y=x+5
3x-4(x-3)=3x+2-5x
x=-10
How many solutions does this equation have:
8-5x=-5x+8?
x: -2|-1|0 |1|2
y: -7|-4|-1|2|5
What is the rule?
y=3x-1
Is this a complete graph?
No - it is missing arrows and axes labels.
38 pails