Unit 1 Vocabulary Flashcards
Feasible Region
The set of all possible values that are a solution to a system of linear inequalities.
Intersection of two lines
This point is known as the common solution to the linear system.
Less Than
<
No Solution
When all equations within a linear system are parallel identified by having the same slope and different y-intercepts.
Vertex
In a system of linear inequalities, it is a corner of the feasible region.
Common Solution
The point in a linear system where all lines cross.
Less Than Equal
<
Linear Inequality
y > 7x + 12
Maximize
Finding a point within a feasible region that produces the maximum value for a given relationship.
Greater Than Equal
>
Infinite Solution
When all equations of a linear system are the same line identified by having the same slope and the same y-intercept.
Minimize
Finding a point within a feasible region that will produce the smallest value from a given relationship.
System of Linear Inequalities
Two or more linear inequalities.
Constraints
The set of linear equations and inequalities that bound a feasible region in a system of linear inequalities.
Linear Programming
The process of locating points within a feasible region of a system of constraints that will either maximize or minimize some defined relationship.
System of Linear Equations
Two or more linear equations.
Greater Than
>
Substitution
The process of substituting one equation within a linear system into another equation’s variable to find the common solution.
Elimination
The process of eliminating one of the variables in a linear system by adding or subtracting linear equations.
Common Difference
In an arithmetic sequence, the constant value that exists between each subsequent term in the sequence.
Linear Regression Line
A statistically generated line of best fit such that every point in the scatterplot is as close to the line as possible.
Recursive Formula
u0= 7un= un-1+ 4
Independent Variable
A variable whose value does not depend on another variable’s value.
Arithmetic Sequence
A series generated by a start value and adding or subtracting a common difference from that start value: Ex: 3, 6, 9, 12, 15, 18, …
Range
The set of all possible outputs of an equation associated with the y axis.
Box Method
Draw a rectangular box around all the data points of your scatter plot such that all points are on or in the box. Split the box in half with a line and then generate an equation for that line using two points off of the line.
Point-Slope Form of a Linear Equation
y = y1+ m(x - x1)
Slope
The rate of change in a linear model denoted by m.
Standard Form of a Linear Equation
ax + by = c
2-Point Method
Given two points that lie on a line, use the slope formula to calculate the slope. Plug the slope and one of the points into the point-slope form of a linear equation.
Median-Median Line
A line of best fit generated by splitting the dataset into groups and calculating the median value for each group.
Interpolation
Using a mathematical model to make a prediction that is within the range of your dataset.
Dependent Variable
All values are dependent on another variable’s value.
Line of Best Fit
A linear equation of a line passing through your scatterplot such that it models the trend of the dataset and can be used to interpolate and extrapolate predictions.
Domain
All possible values that are inputs to an equation on the x axis.
Extrapolation
Using a mathematical modelto make a prediction that is outside the range of your dataset.
Summation
The Greek letterΣ that represents taking all values generated by the denoted formula and adding them together.
x-Intercept
The point on the x-axis where a line crosses.
Explicit Formula
A formula that can generate any term in a sequence. Ex: an= a0+ nd
y-Intercept
The point on the y axis where a line crosses.
Slope-Intercept Form of a Linear Equation
y = mx + b
Correlation Coefficient
The value associated with a scatter plot that indicates how close to linear the data is. It is typically represented by the variable r.{r | -1 < r <1}
