Using Properties to Write Equivalent Expressions

Lesson 1: Distributive Property

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​Created by Mr. Stevenson

​Chapter 10: Equivalent Expressions

​Our Learning Targets this chapter:

1. Use the distributive Property to write equivalent expressions

2. Combine 'like terms' to write equivalent expressions

3. Show 2 variable expressions are equal

4. Demonstrate that properties with numbers also applies to expressions with variables

How are 2 expressions equivalent?

Lesson 1: Equivalent Expressions

​Equivalent expression examples:

1.) x + x = 2x 2.) y + y + y + y + y = 5y

3.) 5m + 6 = 2m + 3m + 4 + 2

Multiple Select

Which two expressions are equivalent? Pick two

• g + g + g

• 4g - 1

• 3 g

• 3

Correct Answer:​

g + g + g = 3g

​Why is this true?

​Because g + g + g = 3 g's and that can be expressed as 3g (which means 3 times g)

Multiple Choice

Which expression is the same as 5v + 9?

• 4v + 2v + 6 + 3

• 5v - 9

• v + 4v

• v + v + v + v + v + 5 + 4

​Volunteers to explain the answer to the previous problem?

​v + v + v + v + v + 5 + 4