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Substitution
Linear Number Lines
Quadratic Inequalities
Linear Number Lines
Elimination
100
y=6x-11 -2x-3y=-7
(2,1)
100
-7 < x < 5
Open circle –7, Open circle 5, shade in middle
100
y<-2x^2-8x-12
Vertex at (-2, -4), Shade inside
100
-4 x </= 6
Open circle –4, Closed circle 6, shade in middle
100
−4x−2y=−12 4x+8y=−24
(6,-6)
200
2x-3y=-1 y=x-1
(4,3)
200
X < 5 or x >/= 7
Open circle 5, Closed circle 7, shade outwards
200
y</=x^2-6x+11
Vertex is at (3, 2), Shade outside
200
-6 < x </= 3
Open circle –6, Closed circle 3, shade in the middle
200
4x + 8y = 20 −4x + 2y = −30
(7,-1)
300
y=-3x+5 5x-4y=-3
(1,2)
300
X < 4 or x >/= 12
Open circle 4, Closed circle 12, shade outwards
300
y>/=-2x^2+16x-29
Vertex at (4, 3), Shade outside
300
3.5 < t < 7
Open circle 3.5, Open circle 7, shade in the middle
300
x-y = 11 2x+y=19
(10,-1)
400
-5x+y=-2 -3x+6y=-12
(0,-2)
400
2 < x < 5
Open circle 2, Open circle 5, shade in the middle
400
y>-x^2+4x-6
Vertex is at (2, -2), Shade outside
400
X < 6 or x >/= 8.5
Open circle 6, Closed circle 8.5, shade outwards
400
−6x + 5y = 1 6x + 4y = −10
(-1,-1)
500
-5x+y=-3 3x-8y=24
(0,-3)
500
-1 </= x < 7
Closed circle –1, Open circle 7, shade in the middle
500
y</=4x^2+32x+62
Vertex is at (-4, -2), Shade outside
500
X > -4.5 or x < -6.5
Open circle –4.5, open circle –6.5, shade outwards
500
−2x−9y=−25 −4x−9y=−23
(-1,3)