Combining Like Terms 2

This video tutorial explains algebraic expressions and the concept of like terms. It provides examples of identifying and combining like terms, emphasizing that only coefficients are added or subtracted while powers remain unchanged. The tutorial includes several practice examples to reinforce the concept and concludes with encouragement for mastering algebraic simplification.

Which of the following pairs are considered like terms?

• 5X^2 and 3X^3

• 2B and 2B^2

• 14A^2 and 5A^2

• 3Y^3 and 10Y^2

When combining like terms, what remains unchanged?

• The coefficients

• The variables

• The powers

• The signs

What is the result of combining the like terms in the expression 8Y^3 + 9Y^3?

• 17Y^3

• 17Y^6

• 1Y^3

• 8Y^3

In the expression 5X^2 + 8X^2 - 4X^2, what is the coefficient of the resulting term?

• 5

• 9

• 8

• 13

What is the simplified form of the expression 3X^3 + 8X^2 - 5X - 4X^2 + 3?

• 3X^3 + 8X^2 + 3

• 3X^3 + 4X^2 - 5X

• -2X^3 + 4X^2 + 3

• -2X^3 + 8X^2 - 5X