Unit 1 Vocabulary

Question 1

Feasible Region

Answer 1

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

Question 2

Intersection of two lines

Answer 2

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

Question 3

Less Than

Answer 3

<

Question 4

No Solution

Answer 4

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

Question 5

Vertex

Answer 5

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

Question 6

Common Solution

Answer 6

The point in a linear system where all lines cross.

Question 7

Less Than Equal

Answer 7

<

Question 8

Linear Inequality

Answer 8

y > 7x + 12

Question 9

Maximize

Answer 9

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

Question 10

Greater Than Equal

Answer 10

>

Question 11

Infinite Solution

Answer 11

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

Question 12

Minimize

Answer 12

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

Question 13

System of Linear Inequalities

Answer 13

Two or more linear inequalities.

Question 14

Constraints

Answer 14

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

Question 15

Linear Programming

Answer 15

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

Question 16

System of Linear Equations

Answer 16

Two or more linear equations.

Question 17

Greater Than

Answer 17

>

Question 18

Substitution

Answer 18

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

Question 19

Elimination

Answer 19

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

Question 20

Common Difference

Answer 20

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

Question 21

Linear Regression Line

Answer 21

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

Question 22

Recursive Formula

Answer 22

u0= 7un= un-1+ 4

Question 23

Independent Variable

Answer 23

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

Question 24

Arithmetic Sequence

Answer 24

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, …

Question 25

Range

Answer 25

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

Question 26

Box Method

Answer 26

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.

Question 27

Point-Slope Form of a Linear Equation

Answer 27

y = y1+ m(x - x1)

Question 28

Slope

Answer 28

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

Question 29

Standard Form of a Linear Equation

Answer 29

ax + by = c

Question 30

2-Point Method

Answer 30

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.

Question 31

Median-Median Line

Answer 31

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

Question 32

Interpolation

Answer 32

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

Question 33

Dependent Variable

Answer 33

All values are dependent on another variable’s value.

Question 34

Line of Best Fit

Answer 34

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.

Question 35

Domain

Answer 35

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

Question 36

Extrapolation

Answer 36

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

Question 37

Summation

Answer 37

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

Question 38

x-Intercept

Answer 38

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

Question 39

Explicit Formula

Answer 39

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

Question 40

y-Intercept

Answer 40

The point on the y axis where a line crosses.

Question 41

Slope-Intercept Form of a Linear Equation

Answer 41

y = mx + b

Question 42

Correlation Coefficient

Answer 42

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}