Misc. Math Vocab.
A number's distance from zero
absolute value
Name one key difference between graphing linear inequalities and equations
Flip sign when dividing by negative; Solid or dotted line; Shading
Slopes of parallel lines are _____ _____________.
The same
How many solutions can a LINEAR system have?
None; One; Infinite
The set of inequalities in a linear programming problem are the ___________ and the solution set is the ____________.
constraints; feasible region
Addition and Subtraction are ____________ operations; they undo each other.
Inverse
True or False: y<2x-1 would be graphed with a solid line.
False
In what form is y=mx+b written?
Slope-intercept form
A system of equations with no solution consists of ______________ lines.
Parallel
List at least 4 steps used when solving a linear programming problem.
(1) Define variables (2) Write the constraints (3)Graph the constraints (4) Identify the vertices (5) Write the objective function (6) Plug the vertices into the objective function (7) Find the max or min
Angles whose sum is 90 degrees
Complementary
Would 2x+4y>-8 be shaded above or below the inequality?
Above
The equation of the line passing through the points (-1, 5) and (3, -7)
y = -3x + 2
Solve the Linear System:
2x-y=2
3x-2y=11
(-7, -16)
The objective function for: A company makes a profit of $40 on a pair of downhill skis and $30 on a pair of cross country skis
P = 40x + 30y
The longest side of a right triangle (spelling counts)
Hypotenuse
True or false: The ordered pair (-2, 1) is a solution to the linear inequality 5y<-7x-1
True
Define variables and write a linear equation to represent: Jill has 13 flowers in her garden. Each week, 2 more flowers bloom.
x=number of weeks; y=number of flowers
y=2x+13
Solve the Linear System:
2x+6y=-8
5x-3y=88
(14,-6)
Vertices at (5, 0) and (4, 2) and (8,1). Find the minimum value for objective function P=x-2y
Minimum: 0
A method of finding a min. or max. value using constraints
Linear Programming
The linear inequality 3x-2y>8 is written as _______________ in slope-intercept form. It is drawn with a ____(solid/dotted)____ line and shaded _____(above/below)______ the line. (0,0) ____(is/is not)____ in the shaded region.
y<3/2x-4; Dotted; Below; Is not
Write the Line Parallel to 5y=2x+20 passing through (-1, 3)
y= 2/5x + 17/5
The number of solutions in the system:
2x+3y=7
4x+6y=14
Infinite
Find the maximum and minimum values for the objective function C = 3x + 4y for the constraints
3 <= x <= 8
2 <= y <= 6
2x + y <=12
Max = 37 min = 17