Combining Like Terms and Distributive Property

The video tutorial explains how to simplify an algebraic expression using the distributive property and rules of exponents. It begins with an introduction to the problem, followed by applying the distributive property to expand the expression. The tutorial then demonstrates how to simplify the expression by combining like terms, ensuring all steps are clear and logical. The video concludes with a final simplified expression.

What is the initial expression given in the problem?

• w times 3 plus 2w

• w times 3w plus 2 plus 5w

• 3w plus 2 plus 5w

• 3w times 2 plus 5

What is the first step in simplifying the expression?

• Apply the distributive property

• Combine like terms

• Divide by w

• Subtract terms

What does the distributive property state?

• a times b plus c equals a times b plus a times c

• a plus b plus c equals a times b times c

• a plus b times c equals a times b plus c

• a times b plus c equals a plus b times c

Why can't 3w and 2 be combined?

• They are both variables

• They are both constants

• They have different coefficients

• They are not like terms

When multiplying w by 3w, what is the result according to the rules of exponents?

• w^3

• 3w

• 3w^2

• 6w

What is the result of w times 2?

• 2

• w^2

• 2w

• w

What is the expression after applying the distributive property?

• 3w^2 + 2

• 3w^2 + 5w

• 3w + 2w + 5w

• 3w^2 + 2w + 5w

What is the exponent of w in the term 3w^2?

• 2

• 1

• 3

• 0

What should you do after applying the distributive property?

• Combine like terms

• Subtract 5w

• Multiply by 3

• Divide by 2

Which terms are considered like terms in the expression?

• 3w and 5w

• 3w^2 and 5w

• 3w^2 and 2w

• 2w and 5w