1. DISTRIBUTIVE PROPERTY II

2. Distributive Property
a (b + c) = ab + ac Or
a (b - c) = ab - ac

3. Combining Like Terms - Vocabulary
Term – number, variable, or the product of a number and one or more variables
Examples: 3 y
4xyz

4. Vocabulary
Term – number, variable, or the product of a number and one or more variables

5. Vocabulary
Term – number, variable, or the product of a number and one or more variables
Constant – no variables (doesn’t change)

6. Vocabulary
Term – number, variable, or the product of a number and one or more variables
Constant – no variables (doesn’t change)
Coefficient – number portion of a term with variables

7. Like Terms ***Exactly the same variable portion Examples 2x 5x -3x

8. Like Terms Like terms can be combined using the distributive property
For example, suppose you had 2x + 5x
This could be rewritten as (2 + 5)(x) or 7x

9. IMPORTANT
Only the coefficient (number in front of the terms) are combined.
The variable portion stays EXACTLY the same

10. Combine like terms
6x + 5x
(6 + 5)(x)
11x

11. Combine like terms
8y - 7y
(8 – 7)(y)
1y or just y

12. Combine like terms More than one variable
4x – 7y + 2x
4x + 2x – 7y
6x – 7y

13. Combine like terms More than one variable
7y + 5x – 5y + 2x
7y – 5y + 5x + 2x
2y + 7x

14. Distributive Property, Combining Like Terms, & Order of Operations

15. Distributive Property, Combining Like Terms, & Order of Operations
Order of operations says that we must multiply before we add.
3 is being added to 2

16. Distributive Property, Combining Like Terms, & Order of Operations
Order of operations says that we must multiply before we add.
3 is being added to 2
2 is to be distributed (multiplied)

17. Distributive Property, Combining Like Terms, & Order of Operations
Order of operations says that we must multiply before we add.
3 is being added to 2
2 is to be distributed (multiplied)
We need to distribute before adding

18. Distributive Property, Combining Like Terms, & Order of Operations

19. Distributive Property, Combining Like Terms, & Order of Operations
Now we can change the order of the terms to get the “like terms” next to each other.

20. Distributive Property, Combining Like Terms, & Order of Operations

21. Distributive Property, Combining Like Terms, & Order of Operations
Now we need to combine the like terms

22. Distributive Property, Combining Like Terms, & Order of Operations

23. Example

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34. Assignment
Distributive Property WS2