Balancing Equations and Word Problems

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What is a balanced equation?

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A balanced equation has the same number of each type of atom on both sides of the equation, indicating that mass is conserved in a chemical reaction.

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What does it mean if an equation has no solution?

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An equation has no solution when there are no values for the variable that can satisfy the equation, often resulting in a contradiction.

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CCSS.8.EE.C.7A

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What is the first step in solving a word problem involving equations?

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Identify the variables and what they represent in the context of the problem.

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CCSS.6.EE.B.6

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How do you isolate a variable in an equation?

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To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

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CCSS.6.EE.B.7

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What does the solution to an equation represent in a real-world context?

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The solution represents the value of the variable that satisfies the conditions of the problem being modeled.

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CCSS.7.EE.B.4A

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CCSS.7.EE.B.4A

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How do you check if your solution to an equation is correct?

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Substitute the solution back into the original equation to see if both sides are equal.

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CCSS.6.EE.B.5

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What is the formula to find the cost per item when given total cost and quantity?

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Cost per item = Total cost / Quantity.

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CCSS.HSF-LE.A.1B

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CCSS.6.EE.B.7

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What is a word problem?

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A word problem is a mathematical problem presented in a narrative form, requiring interpretation and translation into an equation.

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CCSS.8.EE.C.7B