Simplifying why we combine like terms- Online Math Tutor

The video tutorial explains how to combine like terms in algebra. It begins by defining like terms and emphasizes that only terms with the same variables can be combined. An example using markers is provided to illustrate the concept. The tutorial then demonstrates solving a problem by grouping and combining like terms, highlighting the importance of organizing terms with the same variables together before performing addition or subtraction.

What is the key rule for combining like terms?

• They must be in the same equation.

• They must have the same variable and exponent.

• They must have the same coefficient.

• They must be on the same side of the equation.

If you have 3 black markers and 1 red marker, what is the correct way to express this?

• 4 black markers

• 4 markers of any color

• 3 black markers and 1 red marker

• 3 red markers and 1 black marker

Why can't you combine 3 black markers and 1 red marker into a single term?

• Because they are different colors.

• Because they are different sizes.

• Because they are different shapes.

• Because they are different brands.

In the expression AB + 4B, what is the result of combining like terms?

• 5AB

• 5B

• AB + 4B

• 4AB

What is the result of combining -3C and 9C?

• 3C

• 0

• 12C

• 6C