Podcast
Questions and Answers
What is the correct notation for an ordered pair?
What is the correct notation for an ordered pair?
Which quadrant contains points where both x and y values are positive?
Which quadrant contains points where both x and y values are positive?
What is the value of the x-coordinate in the ordered pair (4, 7)?
What is the value of the x-coordinate in the ordered pair (4, 7)?
Which of the following correctly describes the origin in a coordinate plane?
Which of the following correctly describes the origin in a coordinate plane?
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Which classification is NOT used to refer to the coordinate plane?
Which classification is NOT used to refer to the coordinate plane?
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In which quadrant would you find a point with coordinates (-5, 3)?
In which quadrant would you find a point with coordinates (-5, 3)?
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What is the main purpose of a coordinate plane?
What is the main purpose of a coordinate plane?
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Which point would not lie in any quadrant on the coordinate plane?
Which point would not lie in any quadrant on the coordinate plane?
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How are the quadrants of the coordinate plane numbered?
How are the quadrants of the coordinate plane numbered?
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If a point has coordinates (3, -4), which statement is true?
If a point has coordinates (3, -4), which statement is true?
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What is the solution to the equation x - 1 = 0 when graphed on a number line?
What is the solution to the equation x - 1 = 0 when graphed on a number line?
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How do you graph the inequality y ≤ 4 on a number line?
How do you graph the inequality y ≤ 4 on a number line?
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What is needed to graph solutions to equations that involve two variables?
What is needed to graph solutions to equations that involve two variables?
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What forms the basis for a coordinate plane?
What forms the basis for a coordinate plane?
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When adding three apples and two apples, what type of problem is this reflecting?
When adding three apples and two apples, what type of problem is this reflecting?
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What does the symbol 'y = 7' represent in terms of graphing?
What does the symbol 'y = 7' represent in terms of graphing?
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What direction do the positive numbers point on a vertically drawn number line?
What direction do the positive numbers point on a vertically drawn number line?
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What describes the first step in creating a coordinate plane?
What describes the first step in creating a 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.
