Download 1.7 Simplifying Expressions

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.
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!
The Distributive Property
• Multiply the outside value with the quantity
in the parentheses.
• Examples:
3(4 + 8) = 3(4) + 3(8)
3(12)= 12 + 24
36 = 36
• Algebraically:
a(b + c) = ab + ac
a(b – c ) = ab – ac
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.
Like Terms : Terms that have the same variable(s)
raised to the same power. Constant terms are always
like terms.
Example 1: More Variables
• To combine like terms,
1)Identify like terms (circle or box them), if any.
2)Add or subtract the like terms
Remember Like Terms have same variable, same power!
Example 2: Distributive Property
•
1)
2)
3)
To simplify:
Do the Distributive Property
Identify like terms, if any
Add or subtract like terms
Practice
• 1) Simplify 7z + 6 + z
• 2) Simplify 6(5 + n) – 2n
PRACTICE
Simplify by combining like terms
3) x + 11 + 12x + 2 + x
4) 10(h + f + 5) + 2h