Combining Like Terms

The video tutorial explains the concept of like terms in algebra, which are terms with the same variable raised to the same power. It demonstrates how to combine like terms by adding or subtracting their coefficients while keeping the powers unchanged. Several examples are provided to illustrate the process, emphasizing the importance of taking the sign in front of each term into account. The tutorial concludes with an advanced example and encourages viewers to practice simplifying algebraic expressions by combining like terms.

What makes two terms 'like terms' in algebra?

• They have the same variable but different powers.

• They have the same coefficient.

• They have the same variable raised to the same power.

• They have different variables but the same power.

When combining like terms, what should you do with the coefficients?

• Ignore them.

• Add or subtract them.

• Multiply them together.

• Divide them.

In the expression 3X - 5X, what is the result after combining like terms?

• 2X

• 0

• 8X

• -2X

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

• 72Y^3

• 17Y^3

• 17Y^6

• 1Y^3

In the expression 3X^3 + 8X^2 - 5X^3 - 4X^2 + 3, what is the simplified form?

• -2X^3 - 4X^2 + 3

• -2X^3 + 4X^2 + 3

• 2X^3 + 4X^2 + 3

• 2X^3 - 4X^2 + 3