Systems and Inequalities

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What is a system of equations?

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A system of equations is a set of two or more equations with the same variables. The solution is the point(s) where the equations intersect on a graph.

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What does it mean for a system of equations to be consistent?

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A consistent system of equations has at least one solution, meaning the graphs of the equations intersect at one or more points.

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What does it mean for a system of equations to be inconsistent?

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An inconsistent system of equations has no solutions, meaning the graphs of the equations do not intersect.

Front

What is a solution to a system of equations?

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A solution to a system of equations is a set of values for the variables that makes all the equations true simultaneously.

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What is the graphical representation of a linear equation?

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The graphical representation of a linear equation is a straight line on a coordinate plane.

Front

What is the slope-intercept form of a linear equation?

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How do you find the intersection of two equations graphically?

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To find the intersection of two equations graphically, plot both equations on the same coordinate plane and identify the point(s) where they cross.

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What is a quadratic equation?

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What is the vertex of a parabola?

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The vertex of a parabola is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

What is the standard form of a quadratic function?

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