Algebra 1 Test - Unit 4 Flashcards
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Questions and Answers

What is the definition of an X-intercept?

  • All points on the y-axis
  • All points where y=0 (correct)
  • All points where x=0
  • All points on the x-axis (correct)
  • What is the definition of a Y-intercept?

  • All points on the y-axis (correct)
  • All points where y=0
  • All points on the x-axis
  • All points where x=0 (correct)
  • What is an ordered pair?

    Each point on the coordinate plane has an address called the ordered pair (x,y).

    What does slope describe?

    <p>Steepness of a hill.</p> Signup and view all the answers

    The formula for slope is given by rise over run: SLOPE = _____ / _____.

    <p>vertical change / horizontal change</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 is the X-axis?

    <p>A horizontal number line.</p> Signup and view all the answers

    What is the Y-axis?

    <p>A vertical number line.</p> Signup and view all the answers

    What is a quadrant?

    <p>A coordinate plane is split up into 4 sections called quadrants.</p> Signup and view all the answers

    What does the x-coordinate indicate?

    <p>The location on the x-axis.</p> Signup and view all the answers

    What does the y-coordinate indicate?

    <p>The location on the y-axis.</p> Signup and view all the answers

    What is a linear equation?

    <p>A linear equation with two variables has an infinite number of solutions, and it can be written in the form ax + b = 0.</p> Signup and view all the answers

    What is a solution in the context of coordinates?

    <p>A solution is represented by a point on the coordinate plane.</p> Signup and view all the answers

    What is a horizontal line?

    <p>A line going side to side.</p> Signup and view all the answers

    What is a vertical line?

    <p>A line going up and down.</p> Signup and view all the answers

    Study Notes

    Key Algebra Concepts

    • X-intercept: Points on the x-axis with a y-value of 0, representing where a graph crosses the x-axis.

    • Y-intercept: Points on the y-axis with an x-value of 0, representing where a graph crosses the y-axis.

    • Ordered Pair: The coordinates (x, y) that specify the location of a point on the coordinate plane.

    • Slope: A measure of the steepness of a line, indicating how much the line rises or falls over a horizontal distance.

    • Slope Formula: Calculated as the rise (vertical change) over the run (horizontal change), expressed as SLOPE = rise/run.

    • Slope-intercept Form: The equation of a line in the form y = mx + b, where m is the slope and b is the y-intercept.

    • X-axis: The horizontal number line used in a Cartesian coordinate system.

    • Y-axis: The vertical number line used in a Cartesian coordinate system.

    • Quadrants: The coordinate plane is divided into four sections; each quadrant corresponds to a combination of positive and negative values for x and y.

    • X-coordinate: Indicates the location along the x-axis in an ordered pair.

    • Y-coordinate: Indicates the location along the y-axis in an ordered pair.

    • Linear Equation: An equation with two variables that can be written in the form ax + b = 0, containing an infinite number of solutions.

    • Solution: Represented by a point on the coordinate plane where the equation holds true.

    • Horizontal Line: A line that runs from side to side, maintaining a constant y-value.

    • Vertical Line: A line that goes straight up and down, maintaining a constant x-value.

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    Description

    Test your knowledge with these flashcards covering key concepts from Unit 4 of Algebra 1. Focus on important terms such as x-intercept, y-intercept, ordered pairs, and slope to enhance your understanding. Perfect for quick review and reinforcement of your learning!

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