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SYSTEMS OF EQUATIONS
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SYSTEM OF EQUATIONS A set or collection of equations that you deal with all together at once
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SOLUTION A value or values which, when substituted for a variable in an equation, make the equation true; the point at which two equations/lines/relationships share a common value or cross
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Consistent system When at least one set of values (solutions) satisfies every equation in a system
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Independent system When ONLY one set of values (solutions) satisfies every equation in a system
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dependent system When MORE than one set of values (solutions) satisfies every equation in a system
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inconsistent system When NO set of values (solutions) satisfies every equation in a system
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INSPECTION Recognition of a familiar pattern leading to immediate solution of a mathematical problem
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SUBSTITUTION A strategy for solving systems of equations that include solving for one variable and using that solution to find the other variable
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ELIMINATION A strategy for solving systems of equations that includes addition or subtraction of one variable
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EVALUATE Substitute a number for each variable and perform the arithmetic operations
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TEST Substitution of a point within an equation to determine if the point creates a true statement
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STANDARD FORM A way of writing the equation of a line; in this case it is in the form Ax + By = C where A is a positive integer, and B, and C are integers
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SLOPE INTERCEPT FORM The way of writing the equation of a line so that the slope (steepness) and y- intercept (where the line crosses the vertical y-axis) are immediately apparent
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Y - INTERCEPT The value where a straight line crosses the Y axis of a graph
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X - INTERCEPT The x-coordinate of a point where a line, curve, or surface intersects the x-axis
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COEFFICIENT A numerical quantity placed before a variable that multiplies the variable in an algebraic expression
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CONSTANT A number on its own, or sometimes a letter such as a, b or c to stand for a fixed number
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PARALLEL LINES Two lines that are always the same distance apart and never touch
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INTERSECTING LINES Two lines that share exactly one point
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CONSTRUCT To write an equation, contextual story or draw a graph/table illustrating an algebraic relationship
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