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?

Back

Finding the values of the variables that satisfy all equations in the system simultaneously.

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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

No Solution; it indicates that the equations do not intersect.

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

Back

Infinitely Many Solutions; it indicates that the equations represent the same line.

Front

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

Back

If the lines represented by the equations intersect at exactly one point.

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What is the graphical method for solving a system of equations?

Back

Plotting the equations on a graph and identifying the point(s) of intersection.

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What is substitution method in solving systems of equations?

Back

Replacing one variable with an expression derived from another equation.

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What is elimination method in solving systems of equations?

Back

Adding or subtracting equations to eliminate one variable, making it easier to solve.

Front

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

Back

They have the same slope but different y-intercepts, indicating no solutions.