1-5 The Distributive Property

Distributive Property
   For any numbers a, b, and c:
    a(b + c) = ab + ac and (b + c)a = ba + ca
    a(b - c) = ab - ac and (b - c)a = ba - ca

Example 1: Rewrite using the Distributive Property. Then Evaluate.
A) 5(7 + 2)




B) (16 - 7)3





Example 2: Use the distributive property to find each product
A) 12 * 82




B) 27(3 2/3)





Examle 3: Rewrite each product using the distributive property. Then simplify.
A) 12(y + 3)




B) 4(y² + 8y + 2)





Term: number, variable, or a product/quotient of numbers & variables
   - separated by a + or -
Like Terms: terms that contain the same variables, with corresponding variables having the same power.
Equivalent Expressions: expressions that denote the same value
    5 + 7 and 4 + 8 are equivalent expressions
Simplest Form: expression without like terms or parenthesis
Coefficient: numerical part of a term
   6n ← 6 is the coefficient

Example 5: Simplify each expression
A) 17a + 21a




B) 12b² - 8b² + 6b





Homework: p29 # 3, 13, 14, 16-28 even, 32-36 even, 42-50 even, 58, 62, 64, 66

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