Warm Up 12/6 Unit 3 Lesson 20

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Mathematics
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9th - 12th Grade
•
Hard
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1.
FLASHCARD QUESTION
Front
What is a solution in the context of a system of inequalities?
Back
A solution is a set of values for the variables that satisfies all inequalities in the system.
2.
FLASHCARD QUESTION
Front
How do you determine if a point is a solution to a system of inequalities?
Back
Substitute the coordinates of the point into each inequality. If all inequalities are satisfied, the point is a solution.
3.
FLASHCARD QUESTION
Front
What is the significance of the inequality x + y ≤ 300 in a ticket sales scenario?
Back
It represents the maximum number of tickets (adults and children) that can be sold, given the theater's seating capacity.
4.
FLASHCARD QUESTION
Front
What does the inequality 7.5x + 5.5y ≥ 2000 represent?
Back
It indicates that the total revenue from ticket sales must be at least $2000.
5.
FLASHCARD QUESTION
Front
Is (0, 0) a solution to the system of inequalities x + y ≤ 300 and 7.5x + 5.5y ≥ 2000?
Back
No, (0, 0) is not a solution because it does not satisfy the revenue inequality.
6.
FLASHCARD QUESTION
Front
Is (-2, 4) a solution to the system of inequalities x + y ≤ 300 and 7.5x + 5.5y ≥ 2000?
Back
Yes, (-2, 4) is a solution as it satisfies both inequalities.
7.
FLASHCARD QUESTION
Front
Which of the following points is not a solution to the system: (0, -1), (0, 3), (4, 0), (6, -2)?
Back
(0, -1) is not a solution as it does not satisfy the inequalities.
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