Equivalent Expressions and Combining Like Terms

The video tutorial explains how to generate equivalent expressions by combining like terms. It begins with an introduction to like terms, which are terms with the same variables and exponents. The tutorial provides examples using different variables, such as X, M, D, and multiple variables like X and Y, and A and B. The focus is on understanding that only the coefficients of like terms are combined, while the variables remain unchanged. The tutorial uses relatable analogies, like apples and oranges, to simplify the concept.

What are like terms in algebra?

• Terms with different variables

• Terms with the same variables and exponents

• Terms with different coefficients

• Terms that are all constants

How do you combine 3x, 5x, and 2x?

• 10x

• 3x + 5x + 2x

• 10

• x

If a term like 'm' appears without a coefficient, what coefficient is implied?

• 0

• 1

• m

• 2

What is the simplified form of the expression 3m + 2m + m?

• 5m

• 6m

• 3m

• m

What is the result of combining 4d - 2d + 5d?

• 7d

• d

• 11d

• 9d

How do you simplify the expression 10a - a - a?

• 8a

• 10a

• 9a

• a

In the expression 4x - x + 2y + y, what is the simplified form?

• 3x + 2y

• 4x + y

• 3x + 3y

• 5x + 3y

What happens if all coefficients of a variable cancel out?

• Write 0 for the variable

• The variable disappears from the expression

• The variable becomes 1

• The variable must be rewritten

What is the result of combining 2a - a - a?

• No 'a' left

• a

• 2a

• 0a

How many b's are there after combining 1b + 3b + 2b?

• 5b

• 6b

• 4b

• 3b