Interpreting Linear Inequality System Solutions

• Lars meets both of his expectations

• Lars works for the expected number of days but doesn't earn the expected number of money

• Lars earns the expected amount of money but doesn't work for the expected number of days

• Lars doesn't meet either of his expectations

A baker makes two types of doughnuts. It costs $0.25 to make each glazed doughnut and $0.30 to make each chocolate doughnut. The baker wants to make more than 200 doughnuts for the day but can spend no more than $60.00 making them. The system of inequalities below describes the relationship between the number of glazed doughnuts (x) and chocolate doughnuts (y) the baker could make for the day.
0.25x+0.30y≤60.00
x+y>200
One solution of the system of inequalities is the ordered pair (100,110). Which statement best describes the meaning of the solution?

• The baker could make 100 glazed doughnuts and 110 chocolate doughnuts

• The baker could earn $100 from glazed doughnuts and $110 from chocolate doughnuts

• The baker can make a maximum of 100 glazed doughnuts and 110 chocolate doughnuts

• The baker will spend exactly $60 making 100 glazed doughnuts and 110 chocolate doughnuts

Which system of inequalities matches the graph?

• y > 2x - 4
  y < 2

• y < 2x - 4
  y < 2

• y > 2x - 4
  y <  2 

• y < 2x - 4
  y <   -2

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• The solution represents all points in the first quadrant of the coordinate plane.

• The solution represents all points in the second quadrant of the coordinate plane.

• The solution represents all points in the third quadrant of the coordinate plane.

• The solution represents all points in the fourth quadrant of the coordinate plane.

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What does the shaded region represent when graphing a single linear inequality?

• The solution to the inequality

• The area outside the solution to the inequality

• The area where the line of the inequality intersects with the x-axis

• The area where the line of the inequality intersects with the y-axis

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CCSS.HSA.REI.D.12

Lars meets both of his expectations

• Lars meets both of his expectations

• Lars works for the expected number of days but doesn't earn the expected number of money

• Lars earns the expected amount of money but doesn't work for the expected number of days

• Lars doesn't meet either of his expectations

• Astrid meets both of her expectations

• Astrid buys the expected number of fruits, but she does beyond her budget

• Astrid stays within her budget, but she doesn't buy the expected number of fruits

• Astrid doesn't meet either of her expectations

Is (-2,4) a solution to the system?

• Solution

• Not a solution

If a systems of linear inequalities with 2 equations has no solution which of the following must be true?

• The Lines are Parallel

• The Lines are Perpendicular

• Both Lines are Less than y

• Both Lines are Greater than y

• One Line is Greater than y and One Line is Less than y

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CCSS.HSA.REI.D.12

• A graph with no common shaded region between the two lines.

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CCSS.HSA.REI.D.12