Systems of Inequalities & Linear Programming FLASHCARD

Front

Solve the system of inequalities by graphing.

Back

Front

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?

Back

9x + 25y ≥ 200, x + y ≤ 16

Front

Solve the system of inequalities by graphing.

Back

Front

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

Back

y < 1/2x - 2

Front

Which system of linear inequalities is represented by the graph?

Back

y≤2x-1
y>-2x+3

Front

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

Back

y > 2x - 4
y <  2 

Front

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

Back

(0,0)

Front

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

Back

x + y ≤ 8

Front

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

Back

300

Front

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)

Back

(0, 5) (6, 0) (3, 3)