Coordinate Plane Basics and Graphing
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Questions and Answers

What is the correct notation for an ordered pair?

  • [x, y]
  • (x, y) (correct)
  • {x, y}
  • <x, y>

Which quadrant contains points where both x and y values are positive?

  • Quadrant III
  • Quadrant I (correct)
  • Quadrant IV
  • Quadrant II

What is the value of the x-coordinate in the ordered pair (4, 7)?

  • 7
  • 4 (correct)
  • 11
  • 0

Which of the following correctly describes the origin in a coordinate plane?

<p>The point where both x and y values are zero (D)</p> Signup and view all the answers

Which classification is NOT used to refer to the coordinate plane?

<p>Polar coordinate system (C)</p> Signup and view all the answers

In which quadrant would you find a point with coordinates (-5, 3)?

<p>Quadrant II (C)</p> Signup and view all the answers

What is the main purpose of a coordinate plane?

<p>To graph solutions for equations with two variables (C)</p> Signup and view all the answers

Which point would not lie in any quadrant on the coordinate plane?

<p>(0, 0) (A)</p> Signup and view all the answers

How are the quadrants of the coordinate plane numbered?

<p>Counter-clockwise starting from the top right (C)</p> Signup and view all the answers

If a point has coordinates (3, -4), which statement is true?

<p>It lies in Quadrant IV (C)</p> Signup and view all the answers

What is the solution to the equation x - 1 = 0 when graphed on a number line?

<p>x = 1 (C)</p> Signup and view all the answers

How do you graph the inequality y ≤ 4 on a number line?

<p>A closed circle at 4 with shading to the left (C)</p> Signup and view all the answers

What is needed to graph solutions to equations that involve two variables?

<p>A coordinate plane (C)</p> Signup and view all the answers

What forms the basis for a coordinate plane?

<p>Two number lines at right angles (D)</p> Signup and view all the answers

When adding three apples and two apples, what type of problem is this reflecting?

<p>A simple arithmetic problem (B)</p> Signup and view all the answers

What does the symbol 'y = 7' represent in terms of graphing?

<p>A horizontal line intersecting y at 7 (C)</p> Signup and view all the answers

What direction do the positive numbers point on a vertically drawn number line?

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

What describes the first step in creating a coordinate plane?

<p>Drawing one number line horizontally (D)</p> Signup and view all the answers

Flashcards

Coordinate Plane

A two-dimensional graph created by combining two perpendicular number lines (x-axis and y-axis).

X-axis

The horizontal number line in a coordinate plane.

Y-axis

The vertical number line in a coordinate plane.

Origin

The point where the x-axis and y-axis intersect (0,0).

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Graphing Equations with Two Variables

Using a coordinate plane to illustrate all possible solutions (x,y) that satisfy an equation.

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Solution (two variables)

An ordered pair (x, y) that satisfies an equation.

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Number Line (one variable)

A one-dimensional graph used to represent solutions of equations or inequalities with one variable.

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Equation with two variables

A statement that shows the relationship between two variables.

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Ordered Pair

A pair of numbers (x, y) that represent a specific point on a coordinate plane.

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x-coordinate

The first number in an ordered pair (x, y).

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y-coordinate

The second number in an ordered pair (x, y).

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Quadrant

One of the four regions formed by the intersecting x and y axes.

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Quadrant I

The top-right quadrant of the coordinate plane.

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Cartesian Plane

Another name for the coordinate plane.

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Study Notes

Coordinate Plane Basics

  • A coordinate plane is a two-dimensional surface formed by two perpendicular number lines (axes).
  • The horizontal line is the x-axis, the vertical line is the y-axis.
  • The point where the axes meet is the origin (0,0).
  • The plane is divided into four quadrants (I, II, III, IV) numbered counter-clockwise from the top right.
  • Any point on the plane can be represented by an ordered pair (x, y), where x is the horizontal coordinate and y is the vertical coordinate.
  • The first number in the pair is the x-coordinate (abscissa), the second is the y-coordinate (ordinate).

Graphing Equations and Inequalities

  • Equations and inequalities with one variable (like x = 1) are graphed on a number line.
  • The solution to an equation with two variables (like y = 7) can be graphed on a coordinate plane.
  • The solution to an inequality (like y ≤ 4) involves shading a region of the coordinate plane.

Ordered Pairs and Quadrants

  • An ordered pair represents a point on the coordinate plane.
  • Coordinates (x, y) show the point's position.
  • Points in different quadrants have different signs for x and y.
    • Quadrant I: Both x and y are positive.
    • Quadrant II: x is negative, y is positive.
    • Quadrant III: Both x and y are negative.
    • Quadrant IV: x is positive, y is negative.
  • Points that lie on the axes are not in any quadrant.

Examples

  • Points (0, 6), (1, 2), (5, 9), (4, 3) are examples of ordered pairs in a coordinate plane.
  • Points A, B, G, F and C, are located within different quadrants and axes on a specific coordinate plane presented as illustrations.

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Description

This quiz covers the fundamentals of the coordinate plane, including the identification of axes, quadrants, and the origins of ordered pairs. Additionally, it explores graphing equations and inequalities, along with their graphical representations on the coordinate plane.

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