Expanding Expressions: Rewriting and Equivalence

The video tutorial teaches how to rewrite expressions by expanding them. It begins with an introduction to the concept, followed by a review of basic multiplication and the commutative property. The tutorial then provides examples, including a scenario involving a square pool, to demonstrate how expressions can be expanded. The video concludes with an additional example, reinforcing the concept that expressions can be rewritten in different forms using the commutative property.

What is the result of multiplying 3 by the sum of X and 4?

• 3X + 4

• 12X + 4

• 3X + 12

• X + 12

According to the commutative property, which of the following is equivalent to 3X + 2?

• 2 + 3X

• 3 + 2X

• X + 5

• 2X + 3

If the side of a square pool is S, how can the number of tiles needed for the border be expressed?

• 4S + 1

• S + 4

• S + S + S + S + 4

• 4(S + 1)

How can 5X be expanded using addition?

• X + X + X + X + X

• 5X + 5

• 5 + X

• X + 5

Which expression is equivalent to 5X + 4 using the commutative property?

• 4X + X + 4

• 2X + 3X + 4

• 5X + 2 + 2

• 3X + 2 + 2X