Equations with Special Cases

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What is an equation with infinite solutions?

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An equation with infinite solutions occurs when both sides of the equation are identical after simplification, meaning any value for the variable will satisfy the equation.

Tags

CCSS.8.EE.C.7A

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What is an equation with no solutions?

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An equation with no solutions occurs when the two sides of the equation are contradictory after simplification, meaning there is no value for the variable that can satisfy the equation.

Tags

CCSS.8.EE.C.7A

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One Solution; x = -10

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One Solution; x = 0

Tags

CCSS.8.EE.C.7A

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One Solution; x = -1

Tags

CCSS.8.EE.C.7B

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No Solutions

Tags

CCSS.8.EE.C.7A

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No Solutions

Tags

CCSS.8.EE.C.7A

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What does it mean if an equation has one solution?

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An equation has one solution when there is exactly one value for the variable that makes the equation true.

Tags

CCSS.8.EE.C.7A

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What is the first step in solving a linear equation?

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The first step is to simplify both sides of the equation, which may include distributing, combining like terms, and isolating the variable.

Tags

CCSS.7.EE.B.4A

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What is the principle of balancing equations?

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The principle of balancing equations states that whatever operation you perform on one side of the equation must also be performed on the other side to maintain equality.

Tags

CCSS.6.EE.B.7