Adding Polynomials: Key Concepts and Techniques

This video tutorial introduces the concept of adding polynomials, focusing on like and unlike terms. It explains how to identify and add like terms, using relatable examples such as comparing variables to fruits. The tutorial also highlights common mistakes learners make when adding terms and provides rules for correctly adding like terms. Several practice problems are presented with step-by-step solutions to reinforce the learning objectives.

What is the result of adding 2A and 3A?

• 5

• 5A

• 2A3A

• 6A

Why can't 5x and 3y be combined?

• They are both variables

• They are unlike terms

• They are both constants

• They have different coefficients

If you have 3 apples, 5 grapes, and 2 strawberries, how should you represent them?

• 3 apples, 5 grapes, 2 strawberries

• 10 fruits

• 10 AppleGrapeStrawberries

• 3A + 5G + 2S

What is the result of adding 3A and 8A?

• 5A

• 11A

• 11

• 3A8A

What is the rule for adding like terms?

• Multiply the coefficients and keep the variable the same

• Subtract the coefficients and keep the variable the same

• Add the coefficients and keep the variable the same

• Add the coefficients and change the variable

What is the commutative property in addition?

• You can only add unlike terms

• You can only add like terms

• Order of addition matters

• Order of addition does not matter

What is the result of adding 2A + 3 and 5A - 7B?

• 7A + 3 - 7B

• 7A - 4B

• 2A + 5A - 7B

• 7A - 7B

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

• 4Y - 6Y

• -X + 8X - 6Y

• 7X + 2Y

• 7X - 2Y

What is the result of combining AB and -10AB?

• 10AB

• 9AB

• AB - 10AB

• -9AB

How should you order polynomials?

• By the highest degree and alphabetically

• By the lowest degree and alphabetically

• By the highest degree only

• Alphabetically only