Vocabulary
(Answer in a form of a Question)
(Answer in a form of a Question)
A system made up of two linear inequalities in two variables
What is the System of Linear Inequalities in Two Variables?
Find the solution by graphing
x + 2y = -4
3x + 2y = 0
(2, -3)
Solve algebraically
x - 4y = -25
2x + 12y = 10
(-13, 3)
Find the minimum and maximum values of the objective function C = 5x + 2y subject to the given constraints
x ≥ 0
y ≥ 0
x + y ≤ 10
min: 0
max: 50
x + 2y - 6z = 23
x + 3y + z = 4
2x + 5y - 4z = 24
(1, 2, -3)
How many sides does a dodecahedron have?
12 sides
Two equations of the form
Ax + By = C and Dx + Ey = F
where x and y are variables, A and B are not both zero, and D and E are not both zero.
What is the System of Two Linear Equations?
Find the solution by graphing
x + y = 2
-3x + 4y = 36
(-4, 6)
Solve algebraically
9x - 5y = -30
x + 2y = 12
(0, 6)
Find the minimum and maximum values of the objective function C = 5x + 2y subject to the given constraints
x ≥ 0
y ≥ 0
4x + 5y ≤ 20
min: 0
max: 25
x + y - 2z = 1
x - y + z = 0
3x + 3y + 6z = 4
No solution
What is the only number that has the same number of letters as it's meaning?
Four (4)
A system made up of three linear equations in three variables
What is the system of three linear equations?
Find the solution by graphing
x - 5y = 10
-2x + 10y = -20
Infinitely many solutions
Solve algebraically
2x + 3y = -7
-4x - 5y = 13
(-2, -1)
Find the minimum and maximum values of the objective function C = 5x + 2y subject to the given constraints
x ≥ 1
x ≤ 4
y ≥ 0
y ≤ 9
min: 5
max: 38
x + 3y - z = 1
-4x - 2y + 5z = 16
7x + 10y + 6z = -15
(-5, 2, 0)
How many cupcakes are in a baker's dozen?
13 cupcakes
A set of three numbers of the form (x, y, z) that represents a point in space.
What is an ordered triple?
Find the solution by graphing
2x - y = 5
2x + 3y = 9
(3, 1)
Solve algebraically
x + 3y = -2
x + y = 2
(4, -2)
Find the minimum and maximum values of the objective function C = 5x + 2y subject to the given constraints
x ≥ 0
x + y ≤ 10
x - y ≤ 0
y ≤ 6
min: 0
max: 35
x + 2y - z = 3
-x + y + 3z = -5
3x + y + 2z = 4
(2, 0, -1)
What number is twice the sum of its digits?
18
In linear programming, the linear function that is optimized.
What is the objective function?
Find the solution by graphing
y = 1/3 x
y = 1/3x - 2
No solution
Solve algebraically
3x + 3y = 0
-2x + 6y = -24
(3, -3)
Find the minimum and maximum values of the objective function C = 7x + 4y subject to the given constraints
x ≥ 0
y ≥ 0
4x + 3y ≤ 24
min: 0
max: 42
x + y + z = 3
x + y - z = 3
2x + 2y + z = 6
All points of the form (x, 3 - x, 0)
How many seconds are in one day?
86,400 seconds