Simplifying Algebraic Expressions: Collecting Like Terms

This video tutorial explains how to simplify algebraic expressions by combining like terms. It introduces the concept of terms, which are parts of an expression separated by addition or subtraction signs, and explains how to identify and combine like terms. The tutorial provides examples and practice questions to reinforce the concept, demonstrating how to handle terms with different variables and coefficients. The video concludes with a summary of the key points covered.

What is a term in an algebraic expression?

• A single number

• A collection of numbers and variables multiplied or divided together

• A variable by itself

• A number added to a variable

Tags

CCSS.6.EE.A.2B

Which of the following is an example of a variable?

• 10

• 7

• a

• 5

Tags

CCSS.6.EE.A.2B

What are like terms?

• Terms that are only variables

• Terms that are only numbers

• Terms that have different variables

• Terms that have the same combination of variables

Tags

CCSS.6.EE.A.2B

Why can't an a^2 term be combined with an a term?

• Because they have different coefficients

• Because they are both variables

• Because a^2 is a different variable than a

• Because they are both constants

Tags

CCSS.7.EE.A.1

How do you combine like terms?

• By multiplying them together

• By adding them together, considering the sign in front

• By dividing them

• By subtracting them

Tags

CCSS.7.EE.A.1

What is the result of combining 4a and -3a?

• 0

• a

• 1a

• 7a

Tags

CCSS.7.EE.A.1

What is the simplified form of 3x + 2 - 3x + 6?

• 0

• 3x + 8

• 2x + 8

• 8

Tags

CCSS.7.EE.A.1

What is the result of combining 2x - 4x + 7x?

• 2x

• 3x

• 5x

• 0

Tags

CCSS.7.EE.A.1

What is the simplified form of 3y - 4y?

• -y

• y

• 0

• 1y

Tags

CCSS.7.EE.A.1

What is the final simplified form of 5a - 8a + 6b - 4 + 5?

• 3a + 6b - 1

• -3a + 6b + 1

• 3a + 6b + 1

• -3a + 6b - 1

Tags

CCSS.7.EE.A.1