Solving Equations with the Distributive Property

This video tutorial demonstrates how to solve an equation using the distributive property and combining like terms. The instructor walks through a step-by-step example, starting with the problem setup, applying the distributive property, combining like terms, and using inverse operations to isolate the variable. The solution is verified by substituting the value back into the original equation to ensure accuracy.

What is the primary goal when solving an equation?

• To simplify the equation

• To isolate the variable

• To perform all operations

• To combine all terms

Which property is used first to simplify the given equation?

• Commutative property

• Distributive property

• Additive property

• Associative property

What does the distributive property allow you to do in an equation?

• Isolate the variable

• Remove parentheses

• Combine like terms

• Add constants

After applying the distributive property, what is the next step?

• Divide by the coefficient

• Check the solution

• Combine like terms

• Subtract constants

What is the result of combining -2x and 5x?

• 3x

• 7x

• -7x

• -3x

What operation is used to eliminate -30 from one side of the equation?

• Subtraction

• Multiplication

• Addition

• Division

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

• 3

• 6

• 30

• 12

How do you verify the solution of the equation?

• Add the constants

• Divide by x

• Multiply the coefficients

• Substitute x back into the original equation

What should the equation equal after substituting x = 12 into the original equation?

• 12

• 0

• 30

• 6

Which operation is performed last to find the value of x?

• Addition

• Subtraction

• Multiplication

• Division