Solving Equations Using Construction and Deconstruction

The video tutorial explains how to solve the equation 4y + 2 = 18 using a construction and deconstruction process. It begins by constructing the equation through multiplication and addition, then deconstructs it by reversing these operations to solve for the variable y. The solution is verified by substituting the value back into the original equation to ensure it holds true.

What is the main goal when solving the equation 4y + 2 = 18?

• To multiply both sides by 2

• To simplify the equation

• To find the value of y

• To find the value of x

In the construction process, what is the first operation performed on y?

• Add 2

• Subtract 2

• Divide by 4

• Multiply by 4

What property allows us to write y * 4 as 4 * y?

• Commutative Property

• Identity Property

• Distributive Property

• Associative Property

What is the second step in the construction process?

• Subtract 2

• Divide by 4

• Add 2

• Multiply by 4

What is the first step in the deconstruction process?

• Divide by 4

• Multiply by 4

• Subtract 2

• Add 2

What operation is performed after subtracting 2 in the deconstruction process?

• Multiply by 4

• Subtract 4

• Add 2

• Divide by 4

What is the result of dividing both sides of the equation by 4?

• y = 4

• y = 8

• y = 2

• y = 6

How do we verify the solution to the equation?

• By adding 4 to both sides

• By multiplying both sides by 2

• By checking if y = 0

• By substituting y back into the original equation

What is the value of 4 * 4 + 2 in the verification step?

• 18

• 20

• 16

• 22

What does the equation 18 = 18 signify in the verification process?

• The solution is correct

• The equation is unsolvable

• The equation needs further simplification

• The solution is incorrect