Understanding Distributive Property in Equations

This video tutorial explains how to solve equations using the distributive property. It begins by introducing the concept and demonstrating how to distribute a number across terms within parentheses. The tutorial then guides viewers through simplifying the equation and isolating the variable using inverse operations. Finally, it emphasizes the importance of checking the solution to ensure accuracy.

What is the first step in solving an equation using the distributive property?

• Subtract the constant from both sides

• Add the numbers inside the parentheses

• Distribute the number outside the parentheses

• Combine like terms

What does the distributive property help to eliminate in an equation?

• Coefficients

• Variables

• Parentheses

• Constants

When distributing a number across terms inside parentheses, what operation is used?

• Subtraction

• Multiplication

• Addition

• Division

What is the result of distributing 3 across the terms inside the parentheses in the equation 3(x + 6)?

• 3x + 12

• 3x + 24

• 3x + 18

• 3x + 6

What is the purpose of finding the inverse of numbers attached to the variable?

• To isolate the variable

• To simplify the equation

• To distribute the terms

• To check the solution

What is the inverse operation of addition?

• Exponentiation

• Subtraction

• Division

• Multiplication

How do you isolate the variable when it is multiplied by a coefficient?

• Add the coefficient to both sides

• Subtract the coefficient from both sides

• Multiply both sides by the coefficient

• Divide both sides by the coefficient

After isolating the variable, what should you do next?

• Distribute the terms again

• Check the solution

• Multiply the variable by the coefficient

• Add the constant to both sides

Why is it important to check your solution after solving an equation?

• To ensure the equation is balanced

• To verify the solution is correct

• To simplify the equation further

• To find the inverse of the solution

What is the final step in solving an equation using the distributive property?

• Verify the solution

• Isolate the variable

• Distribute the terms

• Combine like terms