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

Tags

CCSS.6.EE.A.2B

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

• 10x

• 3x + 5x + 2x

• 10

• x

Tags

CCSS.7.EE.A.1

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

• 0

• 1

• m

• 2

Tags

CCSS.6.EE.A.2B

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

• 5m

• 6m

• 3m

• m

Tags

CCSS.7.EE.A.1

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

• 7d

• d

• 11d

• 9d

Tags

CCSS.7.EE.A.1

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

• 8a

• 10a

• 9a

• a

Tags

CCSS.7.EE.A.1

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

• 3x + 2y

• 4x + y

• 3x + 3y

• 5x + 3y

Tags

CCSS.7.EE.A.1

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

Tags

CCSS.8.EE.C.7A

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

• No 'a' left

• a

• 2a

• 0a

Tags

CCSS.7.EE.A.1

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

• 5b

• 6b

• 4b

• 3b

Tags

CCSS.7.EE.A.1