Questions and Answers
What does the term 'Domain' refer to?
A line is __________ if the slope is negative
Decreasing
The Cartesian plane has an x and a y ______.
Axis
What is the definition of 'Slope'?
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A linear _________ represents real-world situations.
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Slope is often described as 'rise over _____'.
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A horizontal line has _______ slope.
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A vertical line has an _________ slope.
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The steepness of a line is dependent on _______ over run.
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Type of variable, often describing the x variable.
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In Ax+By=C, C is an example of a __________.
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In Ax+By=C, Ax and By are both examples of a _______.
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Ax+By=C represents the ____________ form of a linear equation.
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A type of variable, often described as the y variable.
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A __________ equation has a constant rate of change.
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Another term for slope is the rate of __________.
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In Ax+By=C, A and B are both examples of a ___________.
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The _______ of a linear equation is a straight line.
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A __________ line has a slope of zero.
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An ordered ______ is a set of coordinates.
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One of the 4 sections of a coordinate plane.
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A display of input and output values in rows and columns.
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A _________ line has an undefined slope.
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All of the output values.
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The coordinates (0,0) are referred to as the ______.
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Defined by two points.
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A line is __________ if the slope is positive.
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A decreasing line has a ___________ slope.
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A Cartesian or coordinate ______.
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_______ of change is a synonym for slope.
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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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Description
This quiz covers essential vocabulary terms used in algebra, including concepts like domain, slope, and linear models. Understanding these terms is crucial for solving algebraic problems effectively. Test your knowledge and reinforce your vocabulary skills in algebra.