Combining Like Terms

This lesson teaches how to combine like terms by factoring. It explains that terms with the same variable can be combined by factoring out the common variable and adding the coefficients. The commutative property allows changing the order of factors. An example with three like terms is provided, demonstrating that the coefficient of a term without a visible number is 1. The lesson concludes by emphasizing the importance of like terms having the same variable.

What is the result of combining the like terms 8x and 3x?

• 8x + 3x

• 24x

• 11x

• 5x

Why can't 11x and 3y be combined?

• They are not like terms.

• They have different coefficients.

• They have different variables.

• They are already combined.

What is the coefficient of 'a' in the expression a + a + a?

• 3

• 2

• 0

• 1

How can the expression a + a + a be simplified?

• a + a

• a^3

• 3a

• a + 3

What property allows us to change the order of factors in multiplication?

• Identity Property

• Associative Property

• Commutative Property

• Distributive Property