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