Podcast
Questions and Answers
What is a relation?
What is a relation?
- set of ordered pairs (correct)
- a kind of function
- a single ordered pair
- a point on the coordinate plane
What is an ordered pair?
What is an ordered pair?
- a single value
- the x and y coordinates of a point on the coordinate plane (correct)
- a relation without functions
- a type of variable
What defines a coordinate plane?
What defines a coordinate plane?
- A single horizontal line
- Only the x-axis
- Only the y-axis
- Two perpendicular lines called axes (correct)
A function is a special relation where each x-value is paired with multiple y-values.
A function is a special relation where each x-value is paired with multiple y-values.
What is the domain?
What is the domain?
What is the range?
What is the range?
A variable is always a number.
A variable is always a number.
What is an independent variable?
What is an independent variable?
What is a dependent variable?
What is a dependent variable?
What does the vertical line test determine?
What does the vertical line test determine?
What is the slope?
What is the slope?
What slope does a horizontal line have?
What slope does a horizontal line have?
What slope does a vertical line have?
What slope does a vertical line have?
What is the x-intercept?
What is the x-intercept?
What is the y-intercept?
What is the y-intercept?
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 (<, >, ≤, ≥).
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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.