
Linear Programming Constraints and Graphing

Interactive Video
•
Mathematics
•
9th - 10th Grade
•
Hard

Patricia Brown
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the typical form of an LP constraint discussed in the video?
3X + 2Y = 10
5X + 4Y ≤ 20
X - Y ≥ 5
2X + 3Y = 15
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How do you determine the region that satisfies a 'less than' constraint?
On the line itself
Below the line, towards the origin
To the right of the line
Above the line, away from the origin
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
When dealing with constraints involving fractions, what is a recommended first step?
Divide both sides by the smallest fraction
Convert fractions to decimals
Clear the fractions by multiplying by a common multiple
Ignore the fractions
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What should you do if a constraint has decimals?
Convert decimals to fractions
Multiply both sides by a power of 10
Ignore the decimals
Divide both sides by the largest decimal
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why might you choose an alternative point when plotting a constraint with a negative coefficient?
To ensure the line passes through the origin
To simplify calculations
To make the line horizontal
To avoid negative values that are too far away
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How can you determine the region that satisfies a constraint with a negative coefficient?
By checking points only on the line
By testing points on either side of the line
By using only positive points
By drawing a parallel line
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a characteristic of constraints with zero right-hand sides?
They are always vertical lines
They never pass through the origin
They always pass through the origin
They are always horizontal lines
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