Podcast
Questions and Answers
What does the term 'Domain' refer to?
What does the term 'Domain' refer to?
- All of the output values
- Type of variable often describing the y variable
- The steepness of a line
- All of the input values (correct)
A line is __________ if the slope is negative
A line is __________ if the slope is negative
Decreasing
The Cartesian plane has an x and a y ______.
The Cartesian plane has an x and a y ______.
Axis
What is the definition of 'Slope'?
What is the definition of 'Slope'?
A linear _________ represents real-world situations.
A linear _________ represents real-world situations.
Slope is often described as 'rise over _____'.
Slope is often described as 'rise over _____'.
A horizontal line has _______ slope.
A horizontal line has _______ slope.
A vertical line has an _________ slope.
A vertical line has an _________ slope.
The steepness of a line is dependent on _______ over run.
The steepness of a line is dependent on _______ over run.
Type of variable, often describing the x variable.
Type of variable, often describing the x variable.
In Ax+By=C, C is an example of a __________.
In Ax+By=C, C is an example of a __________.
In Ax+By=C, Ax and By are both examples of a _______.
In Ax+By=C, Ax and By are both examples of a _______.
Ax+By=C represents the ____________ form of a linear equation.
Ax+By=C represents the ____________ form of a linear equation.
A type of variable, often described as the y variable.
A type of variable, often described as the y variable.
A __________ equation has a constant rate of change.
A __________ equation has a constant rate of change.
Another term for slope is the rate of __________.
Another term for slope is the rate of __________.
In Ax+By=C, A and B are both examples of a ___________.
In Ax+By=C, A and B are both examples of a ___________.
The _______ of a linear equation is a straight line.
The _______ of a linear equation is a straight line.
A __________ line has a slope of zero.
A __________ line has a slope of zero.
An ordered ______ is a set of coordinates.
An ordered ______ is a set of coordinates.
One of the 4 sections of a coordinate plane.
One of the 4 sections of a coordinate plane.
A display of input and output values in rows and columns.
A display of input and output values in rows and columns.
A _________ line has an undefined slope.
A _________ line has an undefined slope.
All of the output values.
All of the output values.
The coordinates (0,0) are referred to as the ______.
The coordinates (0,0) are referred to as the ______.
Defined by two points.
Defined by two points.
A line is __________ if the slope is positive.
A line is __________ if the slope is positive.
A decreasing line has a ___________ slope.
A decreasing line has a ___________ slope.
A Cartesian or coordinate ______.
A Cartesian or coordinate ______.
_______ of change is a synonym for slope.
_______ of change is a synonym for slope.
An increasing line has a _________ slope.
An increasing line has a _________ slope.
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Study Notes
Algebra Vocabulary Study Notes
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Domain: Refers to all possible input values for a function.
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Decreasing: A line is characterized as decreasing when the slope is negative.
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Axis: The Cartesian plane consists of an x-axis and a y-axis.
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Slope: Defined as the change in the y-coordinate divided by the change in the x-coordinate.
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Model: A linear model is used to represent real-world situations through mathematical equations.
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Run: In relation to slope, it is often described as "rise over run," representing the horizontal change.
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Zero: A horizontal line has a slope of zero, indicating no change in y-values.
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Undefined: A vertical line has an undefined slope due to the lack of horizontal change.
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Rise: The steepness of a line is determined by the rise (change in y) over the run (change in x).
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Independent Variable: Typically represents the x variable in a mathematical function.
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Constant: In the equation Ax + By = C, C is considered a constant.
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Term: In the equation format Ax + By = C, both Ax and By qualify as terms.
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Standard Form: The equation Ax + By = C illustrates the standard form of a linear equation.
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Dependent Variable: Commonly describes the y variable in a relationship where its value depends on the independent variable.
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Linear Equation: Recognized for having a constant rate of change.
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Change: Slope is synonymous with the rate of change in a linear relationship.
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Coefficient: In Ax + By = C, A and B are examples of coefficients.
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Graph: The graphical representation of a linear equation is a straight line.
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Horizontal Line: Exhibits a slope of zero, indicating no vertical change.
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Ordered Pair: An ordered pair represents a set of coordinates, typically written as (x, y).
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Quadrant: There are four sections in a coordinate plane, categorized as quadrants.
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Table: Represents a systematic display of input (x values) and output (y values) in rows and columns.
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Vertical Line: Characterized by an undefined slope, indicating no horizontal change.
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Range: Encompasses all possible output values from a given function.
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Origin: The point (0,0) on the Cartesian plane serves as the reference point from which all coordinates are measured.
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Line: Defined mathematically by two distinct points.
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Increasing: A line is considered increasing if it has a positive slope.
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Negative Slope: A line is termed decreasing, indicating it has a negative slope.
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Coordinate Plane: Also referred to as a Cartesian plane, which is a two-dimensional surface for graphing functions.
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Rate of Change: This term is synonymous with slope, indicating how much y changes with respect to x.
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Positive Slope: An increasing line is associated with a positive slope, reflecting upward movement.
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