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Questions and Answers
What is a relation?
What is an ordered pair?
What defines a coordinate plane?
A function is a special relation where each x-value is paired with multiple y-values.
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What is the domain?
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What is the range?
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A variable is always a number.
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What is an independent variable?
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What is a dependent variable?
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What does the vertical line test determine?
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What is the slope?
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What slope does a horizontal line have?
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What slope does a vertical line have?
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What is the x-intercept?
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What is the y-intercept?
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Study Notes
Algebra 1 Key Concepts
- Relation: A set composed of ordered pairs.
- Ordered Pair: Represents coordinates on the coordinate plane, denoted as (x,y).
- Coordinate Plane: Formed by two perpendicular axes: the x-axis (horizontal) and the y-axis (vertical).
- Function: A specific type of relation where each x-value corresponds to only one y-value, verified by the vertical line test.
- Mapping: Visual representation of x-values and y-values through "bubbles."
- Table: A structured way to display ordered pairs.
- Domain: The complete set of possible x-values (inputs).
- Range: The complete set of possible y-values (outputs).
- Variable: Represents a number in an equation, denoted by letters or symbols.
- Independent Variable: The x-variable, which is the input or the cause.
- Dependent Variable: The y-variable, dependent on the independent variable; represents an output or result in an equation.
- Vertical Line Test: Determines if a relation is a function based on whether a vertical line crosses the graph at more than one point.
- Discrete Function (Scatter Plot): Visualizes data as individual, non-continuous points.
- Continuous Function: Data represented as a smooth, uninterrupted curve.
- Linear Parent Function: The simplest form of a linear function is represented as y = x.
- Slope: Measures the steepness of a line; calculated as the change in y over the change in x (rise/run).
- Y-intercept: The point where the line intersects the y-axis, represented as (0,y).
- X-intercept: The point where the line intersects the x-axis, represented as (x,0).
- Direct Variation: Describes a linear relationship of the form y = mx, where m represents the slope, passing through the origin.
- Inverse Variation: Represents a relationship where y varies inversely with x, defined by the equation y = 1/x.
- Linear Inequality: Formulates relationships where the equality is replaced by an inequality sign (<, >, â‰¤, â‰¥).
Studying That Suits You
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Description
Test your knowledge with these Algebra 1 flashcards covering key concepts such as relations, ordered pairs, coordinate planes, and functions. Perfect for revision and reinforcing your understanding of basic algebraic principles.