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28 Cards in this Set
- Front
- Back
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What are Bar Graphs used for?
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show comparisons
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What is a linear equation in two variables?
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an equation that can be written in the form:
Ax + Bx = C where, A, B, and C are real numbers and A or B are not zero. |
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Write a linear equation in standard form?
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Ax + Bx = C
3x + 4y = 9 x - y = 0 x + 2y = -8 |
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Write linear equations in two variables that are not in standard form?
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y = 4x + 5
3x = 7 - 2y |
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Linear equations in two variables require how many solutions?
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Two, one for each variable
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The solution set in two variables has two answers or?
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coordinate pairs written in parentheses (x, y), the x-value is always given first
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An ordered pair that is a solution of an equation is said to:
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satisfy the equation
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Is ordered pair (3,2) a solution of the equation 2x + 3y = 12
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2x + 3y = 12
2(3) + 3(2) = 12 6 + 6 = 12 12 =12 True, (3,2) is a solution |
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Is x = 5 a linear equation in two variables?
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yes,
x + 0y = 5 |
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Is y = 4 a linear equation in two variables?
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yes,
0x + y = 4 |
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How many real number solutions does linear equations in one variable have?
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one, zero or an infinte number of real number solutions.
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How many real number solutions does linerar equations in two variables have?
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An infinite number of real number solutions. each choice of a number for one variable leads to a particular number for the other variable.
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How many number lines are needed to graph linerar equations with one variable?
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one
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How many number lines are needed to graph linear equations with two variables?
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two
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What is the x-axis?
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The horizontal number line in a rectangular coordinate system.
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What is the y-axis?
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The vertical number line in a rectangular coordinate system.
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What is the Rectangular Coordinate System?
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The x-axis and y-axis placed a right angles at their zero points.
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What is another name for the Rectangular Coordinate System?
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Cartesian Coordinate System, in honor of Rene descartes (1596 - 1650 ), the French Mathematician who invented it.
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How many regions is the Rectangular coordinate System divided into?
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4 regions called quadrants
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What is a quadrant?
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a quadrant is one of four regions in the plane determined by the Rectangular Coordinate System.
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Are the points on the x-axis and y-axis part of any quadrant?
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no
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What is the origin?
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The point at which the a-axis and y-axis of a Rectangular Coordinate System intersect. This point corresponds to (0,0)
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The x-axis and y-axis determine a plane. By referring to the two axes, we can associate every point in the plane with ______ ______.
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ordered pairs
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How the quadrants named?
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Quadrant I Top right (+,+)
Quadrant II Top left (-,+) Quadrant III Bottom left (-,-) Quadrant IV Bottom right (+,-) |
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What is one way to organize solutions of linear equations?
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A table
x y 2 8 13 -3 0 10 10 0 -4 14 |
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What is plotting?
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to plot an ordered pair is to locate it on a rectangular coordinate system.
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What is labeling?
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writing the ordered pairs on the rectangular coordinate system next to the point that designates that location. e. (1,4)
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Does oreder matter when plotting ordered pairs?
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yes, always find the x-value first, then the y-value
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