Understanding the Construction and Deconstruct Story in Solving Equations

The video tutorial explains how to solve an equation using the construction and deconstruct story method. It begins by detailing the construction story, which involves performing operations on a variable to form the equation. The deconstruct story then reverses these steps to solve for the variable. The solution is verified by substituting the value back into the original equation, ensuring the correctness of the solution.

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

• To make equations more complex

• To simplify the process of solving equations

• To avoid using variables

• To create new equations

Tags

CCSS.HSA.REI.A.1

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

• Multiply by three

• Add five

• Divide by two

• Subtract four

Tags

CCSS.7.EE.B.4A

What is the final step in the construction story before forming the complete equation?

• Divide by three

• Subtract four

• Multiply by two

• Add five

Tags

CCSS.6.EE.A.3

Which property is used to rearrange the multiplication in the construction story?

• Identity property

• Commutative property

• Distributive property

• Associative property

Tags

CCSS.HSA.REI.A.1

What is the first step in the deconstruct story to solve the equation?

• Add five

• Subtract five

• Multiply by two

• Divide by three

Tags

CCSS.HSA.REI.A.1

Which operation is used to reverse the multiplication by two in the deconstruct story?

• Divide by two

• Multiply by two

• Subtract two

• Add two

Tags

CCSS.7.EE.B.4A

What is the value of x after applying all the deconstruct steps?

• x = 2

• x = 3

• x = 5

• x = 4

Tags

CCSS.HSA.REI.A.1

What is the purpose of the deconstruct story in solving equations?

• To simplify the equation

• To reverse the construction steps and solve for x

• To verify the solution

• To create a new equation

Tags

CCSS.6.EE.B.5

How do we verify the solution to the equation?

• By solving a different equation

• By substituting x back into the original equation

• By checking if x equals zero

• By multiplying x by two

What is the result of substituting x = 4 back into the original equation?

• The equation is not satisfied

• The left side equals 20

• The left side equals 21

• The left side equals 22