Combining Like Terms in Algebra

The video tutorial explains how to combine like terms in algebraic expressions. It defines like terms as terms with the same variable and exponent, and demonstrates the process through examples. The tutorial emphasizes the importance of paying attention to variables and exponents, and concludes with a recap of key points.

What defines like terms in algebra?

• Terms that are all constants

• Terms with the same variable but different exponents

• Terms with the same variable and exponent

• Terms with different variables

What is the result of combining 9x and x?

• x^2

• 9x^2

• 10x

• 8x

What do you get when you add 15 and 2?

• 30

• 12

• 13

• 17

Can x squared be combined with any other term in the example?

• Yes, with x

• Yes, with 2y

• No, it stands alone

• Yes, with 3x

What is the result of 3x plus x?

• x^2

• 2x

• 4x

• 3x^2

What is the simplified form of 2y minus y?

• 0

• 2y

• 1y

• y

How are terms typically ordered in an expression?

• Randomly

• By exponent size

• Alphabetically

• Numerically

What are constants in algebraic expressions?

• Coefficients

• Exponents

• Variables

• Numbers without variables

Why is it important to pay attention to variables and exponents when combining like terms?

• To change the variables

• To correctly simplify the expression

• To add more terms

• To make the expression longer