Simplifying Algebraic Expressions

This video tutorial teaches how to simplify algebraic expressions by combining like terms and applying the distributive property. It covers using the commutative and associative properties to rearrange terms, and demonstrates step-by-step examples to clarify the process. The lesson concludes with a summary of the key concepts learned.

What is the main focus of this lesson?

• Graphing linear equations

• Factoring polynomials

• Solving quadratic equations

• Simplifying algebraic expressions

What is the result of adding 2x and 3x?

• 2x

• 3x

• 6x

• 5x

Why can't 5x and 2 be added together?

• They are both variables

• They are already simplified

• They are not like terms

• They are both constants

What property allows you to move terms around in an expression?

• Associative Property

• Commutative Property

• Identity Property

• Distributive Property

What is the simplified form of 3b + b?

• 3b

• 2b

• 4b

• 5b

How do you simplify 6x + 4x?

• 8x

• 14x

• 10x

• 12x

What is the result of distributing 2 over (3b + 5)?

• 6b + 5

• 3b + 10

• 6b + 10

• 5b + 6

What is the simplified form of 6b + 4b?

• 11b

• 10b

• 8b

• 9b

What is the result of distributing 4 over (3y + 2)?

• 8y + 12

• 3y + 8

• 12y + 2

• 12y + 8

What is the final simplified expression of 12y + 8 + 9?

• 17y + 9

• 21y

• 12y + 8

• 12y + 17