Systems of Inequalities & Linear Programming FLASHCARD

Solve the system of inequalities by graphing.

Colin needs to save at least $200 for homecoming. He works 2 jobs earning $9/hour at Wawa and $25/hour mowing lawns. He only has time to work 16 hours before homecoming. What are the constraints for his work hours and earnings?

Solve the system of inequalities by graphing.

Rewrite this inequality in "y=" form: 3x - 6y > 12

Which system of linear inequalities is represented by the graph?

Which system of inequalities matches the graph? Options: y > 2x - 4
y < 2, y < 2x - 4
y < 2, y > 2x - 4
y <  2 , y < 2x - 4
y <   -2

Which ordered pair(s) is a solution to the given system? Options: (5, -5), (0,0), (-5, -2), (3,-3)

Sarah makes small purses (x) and big purses (y). She can make no more than 8 purses a week. Which inequality represents the situation?

Objective quantity:
P = 30x + 50y
Corner that maximizes profit: (0, 6)
What is the profit?

Vertices of the feasible region: (0, 3) (3, 0) (5, 8), (0, 6) (3, 5) (6, 5), (3, 3) (8, 5) (5, 8), (0, 5) (6, 0) (3, 3)