Solving Equations with the Distributive Property

This video tutorial teaches how to solve equations using the distributive property. It begins by explaining the concept of distributing a number across terms within parentheses. The tutorial then demonstrates solving a two-step equation by applying inverse operations to isolate the variable. Finally, it emphasizes the importance of checking the solution to ensure accuracy.

What does the number outside the parentheses indicate in an equation?

• Division with each term inside

• Subtraction of each term inside

• Addition to each term inside

• Multiplication with each term inside

What is the first step in solving equations with the distributive property?

• Divide the terms inside the parentheses

• Subtract the terms inside the parentheses

• Multiply the external number with each term inside

• Add the external number to each term inside

After distributing and simplifying, what type of equation do we aim to achieve for easier solving?

• A quadratic equation

• A two-step equation

• A one-step equation

• A polynomial equation

What operation is used to eliminate a negative term on one side of the equation?

• Subtraction

• Multiplication

• Division

• Addition

How do you isolate a variable that is being multiplied by a number?

• Addition

• Subtraction

• Multiplication

• Division

What is the inverse operation of multiplication when solving equations?

• Addition

• Division

• Subtraction

• Multiplication

Why is it helpful to align equal signs when solving equations?

• It makes the equation look neater

• It helps in better organization and reduces confusion

• It is required by mathematical standards

• It makes it easier to add numbers

What does adding the inverse of a term accomplish in an equation?

• It eliminates the term from the equation

• It halves the term's value

• It doubles the term's value

• It creates a new equation

What is the final value of N in the solved equation?

• 28

• 12

• 4

• 10

How do you check if the solution to an equation is correct?

• Divide the solution by the coefficient

• Substitute the solution back into the original equation

• Add the solution to the original equation

• Multiply the solution by the coefficient