Deconstruct and Traditional Methods for Linear Equations

This video tutorial compares the deconstruct and traditional methods for solving linear equations in one variable. It explains the steps involved in each method, highlights potential issues, and demonstrates solving an example problem using both methods. The video emphasizes that both methods involve performing the same operations on both sides of the equation to maintain equivalence. Finally, it verifies the solution by substituting back into the original equation.

What is the primary similarity between the deconstruct and traditional methods for solving linear equations?

• They both use different operations on each side of the equation.

• They both perform the same operations on both sides of the equation.

• They both start by dividing the equation by the variable.

• They both require the variable to be on the left side of the equation.

What is the first step in the deconstruct method?

• Simplify each side of the equation.

• Construct the story of the variable.

• Apply the deconstruct story to both sides of the equation.

• Check the solution.

What should be done if an equation has variables on both sides before applying the deconstruct method?

• Add a constant to both sides.

• Write an equivalent equation with the variable term on one side.

• Divide both sides by the variable.

• Multiply both sides by the variable.

In the traditional method, what is the optional first step when dealing with equations that have decimals or fractions?

• Multiply both sides to clear the fractions or decimals.

• Add or subtract to isolate the variable term.

• Divide both sides by the variable.

• Simplify each side by clearing parentheses.

What is the final step in the traditional method for solving a linear equation?

• Check the solution.

• Simplify each side of the equation.

• Multiply or divide to isolate the variable.

• Add or subtract to isolate the variable term.

In the deconstruct method example, what operation is performed first to solve the equation?

• Subtract 3 from both sides.

• Multiply by 2 on both sides.

• Add 5 to both sides.

• Divide by -3 on both sides.

What is the result of dividing both sides by -3 in the deconstruct method example?

• Z = 9

• Z = -7

• 2Z + 5 = -9

• 2Z + 5 = 27

In the traditional method example, what is the first step taken to simplify the equation?

• Distribute -3 across the terms.

• Divide by 2 on both sides.

• Add 12 to both sides.

• Subtract 5 from both sides.

What is the final solution for Z in both the deconstruct and traditional method examples?

• Z = -7

• Z = 7

• Z = 0

• Z = 14

How is the solution verified in the traditional method example?

• By adding a constant to both sides.

• By dividing both sides by the solution.

• By checking if both sides of the equation are equal after substitution.

• By multiplying both sides by the variable.