# Unit 1 Vocabulary Flashcards

1
Q

Feasible Region

A

The set of all possible values that are a solution to a system of linear inequalities.

2
Q

Intersection of two lines

A

This point is known as the common solution to the linear system.

3
Q

Less Than

A

<

4
Q

No Solution

A

When all equations within a linear system are parallel identified by having the same slope and different y-intercepts.

5
Q

Vertex

A

In a system of linear inequalities, it is a corner of the feasible region.

6
Q

Common Solution

A

The point in a linear system where all lines cross.

7
Q

Less Than Equal

A

<

8
Q

Linear Inequality

A

y > 7x + 12

9
Q

Maximize

A

Finding a point within a feasible region that produces the maximum value for a given relationship.

10
Q

Greater Than Equal

A

>

11
Q

Infinite Solution

A

When all equations of a linear system are the same line identified by having the same slope and the same y-intercept.

12
Q

Minimize

A

Finding a point within a feasible region that will produce the smallest value from a given relationship.

13
Q

System of Linear Inequalities

A

Two or more linear inequalities.

14
Q

Constraints

A

The set of linear equations and inequalities that bound a feasible region in a system of linear inequalities.

15
Q

Linear Programming

A

The process of locating points within a feasible region of a system of constraints that will either maximize or minimize some defined relationship.

16
Q

System of Linear Equations

A

Two or more linear equations.

17
Q

Greater Than

A

>

18
Q

Substitution

A

The process of substituting one equation within a linear system into another equation’s variable to find the common solution.

19
Q

Elimination

A

The process of eliminating one of the variables in a linear system by adding or subtracting linear equations.

20
Q

Common Difference

A

In an arithmetic sequence, the constant value that exists between each subsequent term in the sequence.

21
Q

Linear Regression Line

A

A statistically generated line of best fit such that every point in the scatterplot is as close to the line as possible.

22
Q

Recursive Formula

A

u0= 7un= un-1+ 4

23
Q

Independent Variable

A

A variable whose value does not depend on another variable’s value.

24
Q

Arithmetic Sequence

A

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, …

25
Q

Range

A

The set of all possible outputs of an equation associated with the y axis.

26
Q

Box Method

A

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.

27
Q

Point-Slope Form of a Linear Equation

A

y = y1+ m(x - x1)

28
Q

Slope

A

The rate of change in a linear model denoted by m.

29
Q

Standard Form of a Linear Equation

A

ax + by = c

30
Q

2-Point Method

A

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.

31
Q

Median-Median Line

A

A line of best fit generated by splitting the dataset into groups and calculating the median value for each group.

32
Q

Interpolation

A

Using a mathematical model to make a prediction that is within the range of your dataset.

33
Q

Dependent Variable

A

All values are dependent on another variable’s value.

34
Q

Line of Best Fit

A

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.

35
Q

Domain

A

All possible values that are inputs to an equation on the x axis.

36
Q

Extrapolation

A

Using a mathematical modelto make a prediction that is outside the range of your dataset.

37
Q

Summation

A

The Greek letterΣ that represents taking all values generated by the denoted formula and adding them together.

38
Q

x-Intercept

A

The point on the x-axis where a line crosses.

39
Q

Explicit Formula

A

A formula that can generate any term in a sequence. Ex: an= a0+ nd

40
Q

y-Intercept

A

The point on the y axis where a line crosses.

41
Q

Slope-Intercept Form of a Linear Equation

A

y = mx + b

42
Q

Correlation Coefficient

A

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}