Math Practice Topic: System of Linear Inequality Graphs

Description: Determine the inequalities for a set of graphed lines.

Adaptive Learning Progression: The equations start simple, then become more complex.

Sample Levels (out of 6)

Write the inequalities that this graph represents.
Examples: y>3x/4, x≤2, y≥1, y>-2x
Then pick out which points fulfill both.

1.


Inequality 1:
Inequality 2:

Which of these are part of the solution set?
(-6,6)
(-3,6)
(0,6)
(3,6)
(6,6)
(-6,3)
(-3,3)
(0,3)
(3,3)
(6,3)
(-6,0)
(-3,0)
(0,0)
(3,0)
(6,0)
(-6,-3)
(-3,-3)
(0,-3)
(3,-3)
(6,-3)
(-6,-6)
(-3,-6)
(0,-6)
(3,-6)
(6,-6)
None
of the
above

Write the inequalities that this graph represents, which should all be in y=mx+b format.
Examples: y>2x-3, y≤-4x/3+1
Then pick out which points fulfill both.

1.


Inequality 1:
Inequality 2: y > 5x - 9

Which of these are part of the solution set?
(-6,6)
(-3,6)
(0,6)
(3,6)
(6,6)
(-6,3)
(-3,3)
(0,3)
(3,3)
(6,3)
(-6,0)
(-3,0)
(0,0)
(3,0)
(6,0)
(-6,-3)
(-3,-3)
(0,-3)
(3,-3)
(6,-3)
(-6,-6)
(-3,-6)
(0,-6)
(3,-6)
(6,-6)
None
of the
above
2.


Inequality 1: y > 5x/2 - 17/2
Inequality 2:
Which of these are part of the solution set?
(-6,6)
(-3,6)
(0,6)
(3,6)
(6,6)
(-6,3)
(-3,3)
(0,3)
(3,3)
(6,3)
(-6,0)
(-3,0)
(0,0)
(3,0)
(6,0)
(-6,-3)
(-3,-3)
(0,-3)
(3,-3)
(6,-3)
(-6,-6)
(-3,-6)
(0,-6)
(3,-6)
(6,-6)
None
of the
above
3.


Inequality 1: y < -x/5 + 26/5
Inequality 2:
Which of these are part of the solution set?
(-6,6)
(-3,6)
(0,6)
(3,6)
(6,6)
(-6,3)
(-3,3)
(0,3)
(3,3)
(6,3)
(-6,0)
(-3,0)
(0,0)
(3,0)
(6,0)
(-6,-3)
(-3,-3)
(0,-3)
(3,-3)
(6,-3)
(-6,-6)
(-3,-6)
(0,-6)
(3,-6)
(6,-6)
None
of the
above
4.


Inequality 1:
Inequality 2:
Which of these are part of the solution set?
(-6,6)
(-3,6)
(0,6)
(3,6)
(6,6)
(-6,3)
(-3,3)
(0,3)
(3,3)
(6,3)
(-6,0)
(-3,0)
(0,0)
(3,0)
(6,0)
(-6,-3)
(-3,-3)
(0,-3)
(3,-3)
(6,-3)
(-6,-6)
(-3,-6)
(0,-6)
(3,-6)
(6,-6)
None
of the
above

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