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Algebra 1 Review Flashcards
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Algebra 1 Review Flashcards

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Questions and Answers

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?

  • 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?

  • 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.

    <p>False</p> Signup and view all the answers

    What is the domain?

    <p>set of all possible x-values</p> Signup and view all the answers

    What is the range?

    <p>set of all possible y-values</p> Signup and view all the answers

    A variable is always a number.

    <p>False</p> Signup and view all the answers

    What is an independent variable?

    <p>the input or cause in a situation</p> Signup and view all the answers

    What is a dependent variable?

    <p>the output or result in a situation</p> Signup and view all the answers

    What does the vertical line test determine?

    <p>If a relation is a function</p> Signup and view all the answers

    What is the slope?

    <p>the steepness of a line</p> Signup and view all the answers

    What slope does a horizontal line have?

    <p>slope = 0</p> Signup and view all the answers

    What slope does a vertical line have?

    <p>undefined</p> Signup and view all the answers

    What is the x-intercept?

    <p>the point where the graph crosses the x-axis</p> Signup and view all the answers

    What is the y-intercept?

    <p>the point where the graph crosses the y-axis</p> Signup and view all the answers

    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.

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