Elimination
Substitution
Graphing
Vocabulary/Grab Bag
Systems of Inequalities
100
x + 3 y = 5
2x - 3y = -8
(-1,2)
100
y = 2
3x + 2y = 10
(2,2)
100
y = 2x + 2
y = x - 1
(3,-4)
100
What are the 3 methods of solving systems of equations?
graphing, substitution, and elimination
100
When graphing linear inequalities what does < and > mean?
Dashed/Broken Line
200
4x - 3y = 16
5x + 3y = 20
(4,0)
200
y = x + 1
2x + y =10
(3,4)
200
y = 2x + 5
y = x + 3
(-2,1)
200
What do you use in identifying which side to shade in the graph of a linear inequality?
Test Point
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
What is the graph of a linear inequality?
Half-plane
300
Systems of inequalities can only be solved by ______
graphing
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
What should be the form of inequality before graphing it?
It should be in slope-intercept form
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
5x + 2y = 48
3x + 2y = 32
x=8
500
x + y = 10
-y = 5 + x
no solution
500
4x - 5y = 15
8x + 5y = 45
(5,1)
500
What method is used in looking for opposite variables and cancelling both?
Elimination
500
Solve the inequality (graph)
y ≤ x − 2
y > −3x + 5
