Understanding Construction and Deconstruction in Solving Equations

The video tutorial explains how to solve an equation using a construction and deconstruction story approach. It begins by detailing the construction story, which involves performing operations on a variable to form the equation. The deconstruction story then reverses these steps to solve for the variable. The solution is verified by substituting the result back into the original equation to ensure it holds true.

What is the purpose of using a construction and deconstruction story in solving equations?

• To make the equation more complex

• To visualize the steps involved in solving

• To avoid solving the equation

• To change the variable

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CCSS.HSA.REI.A.1

In the construction story, what is the first operation performed on the variable w?

• Add four

• Multiply by three

• Subtract four

• Divide by four

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CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2

What operation is performed after subtracting four in the construction story?

• Divide by four

• Add six

• Multiply by three

• Subtract six

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CCSS.7.EE.B.4A

What is the final step in the construction story before equating to negative three?

• Divide by four

• Subtract six

• Multiply by three

• Add six

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CCSS.HSA.REI.A.1

In the deconstruction story, what is the first step to solve the equation?

• Subtract six

• Divide by three

• Multiply by four

• Add six

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CCSS.HSA.REI.A.1

Which operation reverses the division by four in the deconstruction story?

• Subtract four

• Multiply by three

• Multiply by four

• Add six

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CCSS.HSA.REI.A.1

What is the final step in the deconstruction story to solve for w?

• Multiply by three

• Add four

• Subtract four

• Divide by three

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CCSS.7.EE.B.4A

What is the solution to the equation after performing all deconstruction steps?

• w = 4

• w = 8

• w = 12

• w = -3

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CCSS.8.EE.C.7B

How do we verify the solution to the equation?

• By substituting the solution back into the original equation

• By checking if w equals zero

• By changing the variable

• By solving a different equation

What is the result when substituting w = 8 back into the original equation?

• The equation equals twelve

• The equation equals negative three

• The equation equals zero

• The equation equals eight