Unit 8 (H) Summative Review

Front

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 if a system of equations has no solution?

Back

It means the lines representing the equations are parallel and never intersect.

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What does it mean if a system of equations has infinite solutions?

Back

It means the equations represent the same line, so every point on the line is a solution.

Front

What is the elimination method in solving systems of equations?

Back

A method where you add or subtract equations to eliminate one variable, making it easier to solve for the other.

Front

What is the substitution method in solving systems of equations?

Back

A method where you solve one equation for one variable and substitute that expression into the other equation.

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How can you tell if two equations represent the same line?

Back

If one equation can be transformed into the other by multiplying or dividing by a constant.

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What is the graphical representation of a system of equations?

Back

It is the intersection points of the lines representing the equations on a coordinate plane.

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What does it mean if two lines intersect at one point?

Back

It means the system of equations has exactly one solution.

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

Back

It represents the solution to the system, where both equations are satisfied.

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What is a consistent system of equations?

Back

A system that has at least one solution.