1. 3.4 Simplifying Algebraic Expressions Including D-Prop Day 2
CCSS 6.NS.4, 6.EE.2b, 6.EE.3,6.EE.4
Use D-Prop to express a sum of 2 whole numbers with common factors as a sum of two whole numbers with no common factors. Apply properties of expressions to generate equivalent expressions. Identify when two expressions are equivalent.

2. Day 2 Distributive Property The Distributive Property
Distribute: to spread out, to share
Think of mail. The postal worker must distribute all letters to the houses. One person, many houses: One number to all numbers in the parentheses!

3. The Distributive Property
Multiply the outside value with the quantity in the parentheses.
Examples:
3(4 + 8) = 3(4) + 3(8)
3(12)=
36 = 36
Algebraically:
a(b + c) = ab + ac
a(b – c ) = ab – ac

4. Day 2 Simplifying Expressions
You will use like terms and the Distributive Property to simplify expressions.
Like terms will have the same variable raised to the same power. Constant terms are considered like terms.

5. Like Terms : Terms that have the same variable(s) raised to the same power. Constant terms are always like terms.

6. Example 1: More Variables
To combine like terms,
Identify like terms (circle or box them), if any.
Add or subtract the like terms
Remember Like Terms have same variable, same power!

7. Example 2: Distributive Property
To simplify:
Do the Distributive Property
Identify like terms, if any
Add or subtract like terms

8. Practice
1) Simplify 7z z
2) Simplify 6(5 + n) – 2n

9. 3) x + 11 + 12x + 2 + x 4) 10(h + f + 5) + 2h PRACTICE
Simplify by combining like terms
3) x x x
4) 10(h + f + 5) + 2h