Simplifying Algebraic Expressions

This video tutorial teaches how to simplify expressions containing variables by distributing and combining like terms. It explains the process of identifying like terms, using the commutative property to rearrange them, and then combining them by adding their coefficients. The tutorial provides a step-by-step example of simplifying the expression 6x + 3y + 8y + x to 7x + 11y, demonstrating the use of factoring and simplification techniques.

What is the main focus of this lesson?

• Factoring polynomials

• Simplifying expressions with variables

• Graphing linear equations

• Solving equations

Which of the following are considered like terms?

• x and y

• 6x and 3y

• 3y and x

• 6x and x

What property allows us to rearrange terms in an expression?

• Associative property

• Distributive property

• Identity property

• Commutative property

How do you combine the terms 6x and x?

• By subtracting the coefficients

• By adding the coefficients

• By dividing the coefficients

• By multiplying the coefficients

What is the simplified form of the expression 6x + 3y + 8y + x?

• 7x + 8y

• 6x + 11y

• 6x + 3y

• 7x + 11y