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System of Linear Inequalities and some Equations

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  • A bakery can bake up to 80 items a day. Pies take 2 hours each and cakes take 3 hours each. The baker has at most 180 hours available. Write the system
    x+y<=80 and 2x+3y<=180
  • Is (4, 2) a solution to the system of inequalities?
    No
    Yes
  • Is (1, 3) a solution to the system of inequalities?
    Yes
    No
  • Is (-4, -5) a solution to the graphed inequality?
    No
    Yes
  • Find the inequality from the graph
    y < (-2/3)x + 3
  • Is (1, -2) a solution to the graphed inequality?
    Yes
    No
  • Is (5, 1) a solution to the system of inequalities?
    No
    Yes
  • Which ordered pair is a solution to this inequality?
    (1, 1)
    (2, 1)
    (3, 0)
    (3, 4)
  • Solve: y=x+6 y=-2x-3
    (-3,3)
  • Is (3, 2) a solution to the system of inequalities?
    No
    Yes
  • Given the graph of the following system of linear inequalities, which region should be shaded?
    1
    3
    4
    2
  • A farmer plants corn and wheat. The total acres planted should be at most 150 acres and corn acres should be at least 50
    x+y<=150 and x>=50
  • Kelly has 24 quarters and dimes worth $3.60. How many of each coin does she have?
    8 quarters and 16 dimes
  • A taxi charges 3 dollars per mile during the day and 2 dollars per mile at night. You want to spend at most 50 dollars in total and drive no more than 20 miles combined
    3x+2y<=50 and x+y<=20
  • What value for x and y will satisfy the system of inequalities?
    x = 0 and y = 2
    x = 6 and y = 0
    x = 6 and y = -2
    x = 1 and y = -1
  • Given the graph of the following system of linear inequalities, which region should be shaded?
    4
    1
    2
    3
  • Determine if (4, 5) is a solution to this system of inequalities
    No (4, 5) is not a solution
    Yes (4, 5) is a solution
  • Is (4, 10) a solution to the system of inequalities?
    Yes
    No
  • Find the inequality from the graph
    y < 3x - 4
  • Select the points that is NOT part of the solution set to the system of inequalities shown in the graph.
    (-5, 5)
    (0, -3)
    (-4, 1)
    (2, 1)
  • Is (1, 3) a solution to the graphed inequality?
    No
    Yes
  • Is (1, 5) a solution to the system of inequalities?
    Yes
    No
  • Find the inequality from the graph
    y > 4x - 2
  • Solve: y=-4x+8 8x+2y=16
    inf. many solutions