Combining Like Terms and Distributive Property

The video tutorial covers the process of combining like terms in algebraic expressions, emphasizing that only identical variables can be combined. It provides examples of simplifying expressions by grouping similar terms and explains the distributive property, demonstrating how to multiply terms within parentheses. The tutorial aims to reinforce students' understanding of these fundamental algebraic concepts.

What is the first rule to remember when combining like terms?

• Numbers can be combined with variables.

• Variables can only be combined with identical variables.

• Variables can be combined with any numbers.

• Variables can be combined with different variables.

Which of the following pairs can be combined?

• X and X^2

• 3X and 2Y

• X and 3X

• X and 5

What is the second rule to remember when combining terms?

• Variables can be combined with numbers.

• Numbers can only be combined with other numbers.

• Numbers can only be combined with variables.

• Numbers can be combined with any terms.

In the expression 3X + 2X^2 - 6 - X + 1, which terms can be combined?

• 3X and 2X^2

• 3X and -X

• 2X^2 and -6

• 1 and 2X^2

What is the simplified form of the expression 3X - X?

• 4X

• 0

• 2X

• X

What is the simplified form of the numbers -6 and 1?

• -5

• 7

• 5

• -7

What is the final simplified expression of 3X + 2X^2 - 6 - X + 1?

• 2X^2 + 3X - 5

• 2X^2 + 2X - 5

• 2X^2 + X - 5

• 2X^2 + 2X + 5

What does the distributive property involve?

• Adding terms inside parentheses.

• Multiplying a number by each term inside parentheses.

• Subtracting terms inside parentheses.

• Dividing a number by each term inside parentheses.

In the expression 3(4X + 1), what is the result of applying the distributive property?

• 4X + 3

• 12X + 3

• 3X + 4

• 12X + 1

After applying the distributive property to 3(4X + 1), what are the new terms?

• 4X and 1

• 12X and 1

• 12X and 3

• 3X and 4