elimination
substitution
graphing
y = form
systems of inequalities
100
x + 3y = 7
8x - 3y = 2
(1,2)
100
y = 2
x + 2y = 6
(2,2)
100
y = 2x + 2
y = x - 1
(3,-4)
100
Solve for y:
x + y = 8
y = -x + 8
100
when graphing linear inequalities what does < and > mean
Use a Dotted Line
200
4x - 3y = 16
5x + 3y = 20
(4,0)
200
y = 3x
2x + y = 10
(2,6)
200
y = 2x + 5
y = x + 3
(-2,1)
200
Solve for y:
8x + 2y = 14
y = -4x +7
200
what does ≤ and ≥ mean when graphing linear inequalities
solid line
300
-2x - 9y = -25
-4x - 9y= 23
(-1,3)
300
y = 5x - 1
2y = 3x + 12
(2,9)
300
3x - 2y = 8
x + y = 6
(4,2)
300
Solve for y:
x + 3y < 9
y < -1/3 x + 3
300
systems of inequalities can only be solved ______
graphically
400
4x - 9y = 2
12x - 5y = -38
(-4,-2)
400
2x - 3y = -2
y= -4x + 24
(5,4)
400
y = 1/2x + 2
y = 1/4x + 4
(8,6)
400
Solve for y:
6x > 3y - 12
y < 2x + 4
400
How is graphing systems of inequalities different than graphing systems of equations?
they use dotted lines sometimes and you have to shade to find the solution
500
The equations 5x + 2y = 48 and 3x + 2y = 32 represent the money collected from school concert tickets sales during two class periods. If x represents the cost for each adult ticket and y represents the cost for each student ticket, what is the cost for each adult ticket?
x=8
500
x + y = 10
-y = 5 + x
no solution
500
4x - 5y = 15
8x + 5y = 45
(5,1)
500
Solve for y:
4x - 2y > 20
y < 2x -10
500
y ≤ x − 2
y > −3x + 5
