Algebra Unit 5 Test Review

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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.

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How do you represent a word problem as a system of equations?

Back

Identify the variables, translate the relationships into equations, and ensure the equations reflect the conditions given in the problem.

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What does the variable 'x' typically represent in a system of equations?

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In a system of equations, 'x' usually represents one of the unknown quantities that you are trying to solve for.

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What does the variable 'y' typically represent in a system of equations?

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In a system of equations, 'y' usually represents another unknown quantity that is related to 'x'.

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What is the purpose of solving a system of equations?

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The purpose is to find the values of the variables that satisfy all equations in the system simultaneously.

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What does it mean to graph a system of equations?

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Graphing a system of equations involves plotting each equation on the same coordinate plane to visually identify the point(s) of intersection.

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What is the substitution method in solving systems of equations?

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

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What is the elimination method in solving systems of equations?

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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?

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If two lines are parallel, it means there is no solution to the system, as the lines never intersect.

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

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If two lines coincide, it means there are infinitely many solutions, as every point on the line is a solution.