Combining Like Terms and Simplification

This video tutorial provides a comprehensive lesson on combining like terms in algebraic expressions. It begins by defining like and unlike terms, using examples to illustrate the concept. The tutorial then explains the distributive law and its role in combining like terms. Through practical examples, viewers learn to identify like terms and simplify expressions by adding or subtracting coefficients. The video concludes with advanced examples, reinforcing the learning objectives and ensuring a clear understanding of the topic.

What are like terms?

• Terms with the same variable part

• Terms with the same constant

• Terms with different coefficients

• Terms with different variable parts

Which of the following pairs are like terms?

• 2y^2 and -4y^2

• 3x and 3x^2

• 5 and 5x

• 7x and 7y

What does the distributive law help us do?

• Subtract terms

• Divide terms

• Combine like terms

• Multiply terms

How can we simplify 5x^3 + 2x^3?

• 7x^3

• 5x^3 + 2x^3

• 10x^3

• 3x^3

What is the first step in combining like terms?

• Add the coefficients

• Identify the like terms

• Subtract the coefficients

• Multiply the terms

What is the result of combining 7x^2 - 3x^2?

• 3x^2

• 7x^2

• 4x^2

• 10x^2

What happens to the variable part when combining like terms?

• It is removed

• It is multiplied

• It stays the same

• It changes

What is the simplified form of -2y^3 + 0z - 12?

• -12

• -2y^3 - 12

• -2y^3 + 0z - 12

• 0z - 12

Which term is not a like term with a^3b^2?

• a^3b^2c

• a^2b^3

• a^3b

• a^3b^2

What is the result of combining -3a^3b^2 + 7a^3b^2?

• 4a^3b^2

• 10a^3b^2

• 0a^3b^2

• -10a^3b^2