Understanding Construction and Deconstruction in Solving Equations

The video tutorial explains how to solve an equation using the construction and deconstruction story method. It begins with constructing the equation by performing operations on a variable, then deconstructs it by reversing these steps to solve the equation. The solution is verified by substituting the value back into the original equation to ensure both sides are equal.

What is the first step in the construction story for solving the equation?

• Add three to z

• Subtract three from z

• Multiply z by five

• Divide z by five

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CCSS.7.EE.A.2

CCSS.HSA.SSE.A.2

In the construction story, what operation is performed after subtracting three from z?

• Add two

• Multiply by five

• Divide by five

• Subtract two

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CCSS.7.EE.B.4A

What is the final result of the construction story before solving the equation?

• z minus three equals five

• z plus two equals five

• z divided by five equals three

• z minus three divided by five plus two equals three

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CCSS.7.EE.B.4A

What is the first step in the deconstruction story?

• Divide by five

• Add two

• Multiply by five

• Subtract two

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CCSS.HSA.REI.A.1

In the deconstruction story, what operation is used to reverse dividing by five?

• Divide by five

• Add five

• Subtract five

• Multiply by five

Tags

CCSS.7.EE.B.4A

What is the final step in the deconstruction story?

• Add three

• Subtract three

• Multiply by three

• Divide by three

Tags

CCSS.7.EE.B.4A

What is the value of z after solving the equation using the deconstruction story?

• z equals three

• z equals eight

• z equals one

• z equals five

Tags

CCSS.HSA.REI.A.1

What operation is performed first when solving the equation using the deconstruction story?

• Divide both sides by five

• Subtract two from both sides

• Multiply both sides by five

• Add two to both sides

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CCSS.8.EE.C.7B

How do you verify the solution of the equation?

• By solving the equation again

• By substituting z equals eight into the original equation

• By checking if z equals five

• By using a different method to solve the equation

Tags

CCSS.6.EE.B.5

What is the result when substituting z equals eight back into the original equation?

• The left side equals four

• The left side equals eight

• The left side equals one

• The left side equals three

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CCSS.6.EE.B.5