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3-1 Vocab
miscellaneous
3-4 Vocab
Problem #1
Problem#2
100
A set of two or more linear equations that use the same variables.
What is a linear system?
100
Solve without graphing -3x+2y=8 x+2y=-8
The Answer x=4, y=-2
100
A restriction on the variables of the objective function in a linear programming problem.
What is a constraint?
100
Solve this system of equations: -3x+2y=8 x+2y=-8
What is (-4,-2)
100
Is this system independent, dependent, or inconsistent 4y-2x=6 8y=4x-12
What is an inconsistent system?
200
A set of two or more equations using the same variables.
What is a system of equations?
200
Is this set independent,dependent or inconsistent x-3y=2 4x-12y=8
The Answer Dependent
200
Contains all of that values that satisfy the constraints on the object funtion.
What is a feasible region?
200
Solve this system of inequalities: g+m>=6 5g+2m<=20
What is m<=10, g<=4
200
What is the solution to the following problem: 2x-y+z=4 x+3y-z=11 4x+4-z=14
The answer x=3, y=3, z=1
300
A set of values for the variables that makes the equations true
What is a solution of a system?
300
What is the system of inequalities for: Your city's cultural center is sponsoring a concert to raise at least $30,000 for the city's youth services. tickets are $20 for balcony seats and $30 for orchestra seats.
THe Answer 20x+30y>=30,000 y<=500
300
A method for finding a minimum of maximum value of some quantity, given a set of constraints.
What is linear programming?
300
Solve this problem with substitution 2x+3y-2z=-1 x+5y=9 4z-5x=4
The answer x=4, y=1, z=6
300
Solve for 3x+4y=12 2x+y=10
The Answer x=5.6, y=-1.2
400
When you get one answer or infinite answers.
What is an consistent system?
400
solve for x+y+z=200 z=2*y 12x+24y+36z=6,000
The Answer x=20, y=60, z=120
400
A model of the quantity that you want to make as large or as small as possible
What is an objective function?
400
solve by elimination 4x+2y=9 -4x+3y=16
The Answer x=-1/4, y=5
400
write the constraints and objective function for you are screen printing T-shirts and sweatshirts to sell at the polk country blues festival. you have at most 20 hours to make shirts. you want to spend no more than $600 on supplies. you want to have at least 50 items to sell.
Constraints: 10x+30y<=1200 Objective function x+y>=50 4x+20y<=600 P=6x+20y x>=0 y>=0
500
A system of equations that have no solution.
What is an inconsistent system?
500
8*12=?
The Answer ?=96
500
What are the constraints and the Objective function: Baking a tray of corn muffins takes 4 cups of milk and 3 cups of wheat flour. Baking a tray of bran muffins takes 2 cups of milk and 3 cups of wheat flour. A baker has 16 cups of milk and 15 cups of wheat flour. He makes a $3 profit per tray of corn muffins, and $2 profit per tray of bran muffins.
What are 3x+2y=P 4x+2y<=16 3x+3y<=15 x>=0 y>=0
500
Solve x+y+2z=3 2x+y+3z=7 -x-2y+z=10
The Answer x=1, y=-4, z=3
500
Daily Double
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