Solving Systems of Linear Equations

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What happens to the lines of a system of equations if the solution is infinitely many?

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The lines will overlap each other.

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CCSS.8.EE.C.8A

Front

True or False: The solution to a system of equations is any ordered pair that makes both equations true.

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TRUE

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CCSS.HSF.IF.A.1

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Back

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the result of solving the system using elimination: -4x - 4y = 0 and 4x + 4y = 0?

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Infinite number of solutions.

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CCSS.8.EE.C.8B

Front

Solve using substitution: x = 6 and y = 2x - 3. What is the solution?

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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What is a system of linear equations?

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A set of two or more linear equations with the same variables.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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What does it mean for two lines to be parallel in the context of linear equations?

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They have no solutions because they never intersect.

Tags

CCSS.8.EE.C.8A

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What is the graphical representation of a system with exactly one solution?

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Two lines intersecting at a single point.

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CCSS.8.EE.C.8A

Front

Define 'substitution method' in solving systems of equations.

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A method where one equation is solved for one variable, and that expression is substituted into the other equation.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

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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.

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CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6