Combining Like Terms and the Distributive Property

The video tutorial covers the distributive property and how to combine like terms in algebraic expressions. It begins with a basic explanation of the distributive property, followed by examples demonstrating how to simplify expressions by distributing and combining like terms. The tutorial emphasizes the importance of following steps and understanding integer rules. It concludes with advice to practice these concepts for better understanding.

What is the first step in applying the distributive property?

• Subtract the terms

• Add all terms together

• Combine like terms

• Multiply the outside term by each term inside the parentheses

What is the result of 4 times 3C?

• 12C

• 7C

• 8C

• 16C

In the expression 12C - 16, why can't the terms be combined?

• Because they are already simplified

• Because they are both variables

• Because they are both constants

• Because they are not like terms

What is the result of combining 12C and -4C?

• 4C

• 8C

• 0C

• 16C

What is the result of -16 - 12?

• -28

• -4

• 4

• 28

What is the simplified form of 3A + 12 + B - 5 - A?

• A + 7 + B

• 2A + 17 + B

• 4A + 7 + B

• 2A + 7 + B

What is the result of combining 3A and -A?

• 0A

• A

• 2A

• 4A

What is the result of combining 4Z and 4Z?

• 6Z

• 2Z

• 8Z

• 0Z

What is the simplified form of 2Z + 4Z - 6X + 8 - 2?

• 6Z - 6X + 8

• 8Z - 6X + 6

• 6Z - 6X + 6

• 8Z - 6X + 8

What should you always do first when you see the distributive property?

• Subtract the terms

• Add all terms together

• Multiply the outside number by each term inside the parentheses

• Combine like terms