Algebra 1 Flashcards
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Questions and Answers

What is a function?

  • An equation with no variables
  • A single variable
  • A relationship or expression involving one or more variables (correct)
  • Only linear equations
  • What is the domain in algebra?

    The x values

    What is the range in algebra?

    The y values

    What does the slope of a line describe?

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

    What is an x-intercept?

    <p>A point on the graph where y is zero</p> Signup and view all the answers

    What is a y-intercept?

    <p>The value of y where the line crosses the y-axis</p> Signup and view all the answers

    What is the slope-intercept form of a linear equation?

    <p>y = mx + b</p> Signup and view all the answers

    What are the standard forms for a linear function?

    <p>Three standard forms</p> Signup and view all the answers

    What is point-slope form?

    <p>y − y1 = m(x − x1)</p> Signup and view all the answers

    Study Notes

    Function

    • A function describes a relationship or expression that involves one or more variables.

    Domain

    • The domain represents the x-values of a function, outlining the possible inputs.

    Range

    • The range encompasses the y-values of a function, indicating the possible outputs.

    Slope

    • Slope is a numerical value that indicates both the direction (increasing or decreasing) and the steepness of a line.

    X-Intercept

    • An x-intercept is a point where the graph intersects the x-axis, meaning the y-value at this point is zero.

    Y-Intercept

    • The y-intercept is the point where a line crosses the y-axis, represented in the linear equation y = mx + b as the value of b.

    Slope-Intercept Form

    • Slope-intercept form of a linear equation expresses the relationship between x and y with the slope and y-intercept clearly defined.

    Standard Form of Linear Function

    • Linear functions can be represented in three standard forms, each providing a different way to express the relationship between variables.

    Point-Slope Form

    • Point-slope form is represented as y - y1 = m(x - x1), where m denotes the slope and (x1, y1) are specific coordinates on the line. This format enables easy calculation of the line's equation when a point and slope are known.

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    Description

    This quiz includes essential terms from Algebra 1, focusing on foundational concepts like functions, domain, range, and slope. Each card presents a key word alongside its definition, helping students reinforce their understanding of the material.

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