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 (B)</p> Signup and view all the answers

What is the domain?

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

What is the range?

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

A variable is always a number.

<p>False (B)</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 (B)</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 (D)</p> Signup and view all the answers

What slope does a vertical line have?

<p>undefined (B)</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

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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 (<, >, ≤, ≥).

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