REVIEW ALGEBRA 2 - SEMESTER 1

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What is a system of equations?

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

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What does it mean for a variable to be eliminated in a system of equations?

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It means that the variable can be removed from the equations, allowing for the other variable(s) to be solved.

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How do you determine which variable to eliminate in a system of equations?

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Look for coefficients that are opposites or can easily be manipulated to cancel each other out when added or subtracted.

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(2, -3)

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(11, 1)

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What is the definition of a linear equation?

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What does it mean if a system of equations has no solution?

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It means the lines represented by the equations are parallel and never intersect.

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What is the graphical representation of a system of equations?

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The solution is the point(s) where the lines intersect on a graph.

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What is the elimination method in solving systems of equations?

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A method that involves adding or subtracting equations to eliminate one variable.