Solving Equations with Distributive Property

The video tutorial explains how to solve an algebraic equation by simplifying it using the distributive property and isolating variables. The instructor demonstrates the process step-by-step, emphasizing the importance of simplifying expressions and using inverse operations to find the solution. The final solution for the variable is determined, and the instructor provides a clear explanation of each step involved.

Why is it important to simplify the equation before solving it?

• To make the equation look nicer

• To ensure the variable is isolated

• To avoid making mistakes

• To make the equation shorter

What property is used to remove the parentheses in the equation?

• Associative Property

• Identity Property

• Distributive Property

• Commutative Property

What is the result of applying the distributive property to 5 * (y - 4)?

• 5y - 4

• 5y - 20

• 5y + 4

• 5y + 20

After distributing, what is the next step in solving the equation?

• Add constants

• Combine like terms

• Subtract constants

• Divide by the coefficient

Why do we move the variable with the smaller coefficient to the other side?

• To make the equation simpler

• To isolate the variable

• To balance the equation

• To avoid negative numbers

What operation is used to eliminate 5y from the left side of the equation?

• Division

• Multiplication

• Subtraction

• Addition

What is the result of subtracting 5y from both sides of the equation?

• -20 = 7y + 7

• -20 = 14y + 7

• -20 = 9y + 7

• -20 = 5y + 7

What is the next step after combining like terms?

• Divide by the coefficient

• Subtract constants

• Add constants

• Multiply by the coefficient

What is the final value of y after solving the equation?

• 3

• -3

• 7

• -7

What is the purpose of verifying the solution?

• To check for calculation errors

• To ensure the equation is balanced

• To confirm the variable value

• All of the above