Unit 4 Final Review

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What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

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What does it mean to solve a system of equations graphically?

Back

It means to find the point(s) where the graphs of the equations intersect.

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What is an ordered pair?

Back

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

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What does 'NS' stand for in the context of systems of equations?

Back

'NS' stands for 'No Solution', indicating that the equations do not intersect.

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What does 'IMS' stand for in the context of systems of equations?

Back

'IMS' stands for 'Infinitely Many Solutions', indicating that the equations represent the same line.

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How do you determine if a system of equations has a unique solution?

Back

A system has a unique solution if the lines represented by the equations intersect at exactly one point.

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What is the substitution method in solving systems of equations?

Back

The substitution method involves solving one equation for one variable and substituting that expression into the other equation.

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What is the elimination method in solving systems of equations?

Back

The elimination method involves adding or subtracting equations to eliminate one variable, making it easier to solve for the other.

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What does it mean if two lines are parallel in a system of equations?

Back

If two lines are parallel, it means they have the same slope and will never intersect, resulting in 'NS'.

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What is the significance of the intersection point in a system of equations?

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The intersection point represents the solution to the system, where both equations are satisfied.