The document provides a lesson on the distributive property and order of operations. It gives the rules for distributing terms in expressions like a(b + c) and examples of expanding, factoring, and simplifying algebraic expressions using these rules. The examples walk through applying the distributive property and order of operations to expressions containing addition, subtraction, multiplication, division, exponents, and absolute value.

1. lesson 21.notebook October 04, 2012
Lesson 21:
*Distributive Property:
a(b + c) = ab + ac OR a(b – c) = ab – ac
FYI...
­expand­­> 2(a + b) =
­factor­­>2a + 2b =
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2. lesson 21.notebook October 04, 2012
More FYI...
ORDER OF OPERATIONS:
­Parentheses (Please)
­Exponents (Excuse)
­Multiply/Divide [left to right] (My Dear)
­Add/Subtract [left to right] (Aunt Sally)
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3. lesson 21.notebook October 04, 2012
Examples ­ Lesson 21
Expand:
A) 2(3 + w)
B) 5(x ­ 3)
C) 12(x + y ­ 5)
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4. lesson 21.notebook October 04, 2012
Factor:
D) 9x + 6
E) 8w ­ 10
F) 12x + 32y ­ 8
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5. lesson 21.notebook October 04, 2012
Simplify:
G) 2 + 5 2 ­ 1
H) (2 + 5) (2 ­ 1)
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6. lesson 21.notebook October 04, 2012
I) 4 + (11 ­ 3 2) 23
J) 10 ­ [8 ­ (6 ­ 3)]
K) 36 + 64
L) |8 ­ 12|
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