1.7 ­ The Distributive Property.notebook
September 14, 2015
9/14: Warm Up
WITHOUT USING A CALCULATOR:
1. What is each product?
a) (­6)(­9)
b) 28(­0.25)
2. What is the simplified form of
3. What is the value of
when a =
?
and b =
?
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1.7 ­ The Distributive Property.notebook
September 14, 2015
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1.7 ­ The Distributive Property.notebook
1.7: The Distributive Property
September 14, 2015
Date: 9/14
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1.7 ­ The Distributive Property.notebook
September 14, 2015
The Distributive Property
Let a, b, and c be real numbers.
Algebra:
Examples:
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1.7 ­ The Distributive Property.notebook
September 14, 2015
Ex 1). What is the simplified form of each expression?
a) 4(x + 5)
c) 12(3 ­
b) (4x – 1)(­6)
x)
d) (2y ­ 1)(­y)
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1.7 ­ The Distributive Property.notebook
September 14, 2015
Ex 2). What sum or difference is equivalent to
a)
b)
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1.7 ­ The Distributive Property.notebook
September 14, 2015
Ex 3). What is the simplified form of
a) ­(3m – 4n)
b) ­(­x + 31)
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1.7 ­ The Distributive Property.notebook
September 14, 2015
Ex 4). Deli sandwiches cost $3.95 each. What is the total cost of 6
sandwiches? Use mental math.
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1.7 ­ The Distributive Property.notebook
September 14, 2015
In an algebraic expression, a term is a number, a variable, or the
product of a number and one or more variables. A constant is a
term that has no variable. A coefficient is numerical factor of a term,
the number in front of the variable.
ex:
Like terms have the same variable factors. To identify like terms,
compare the variable factors of the terms.
Terms
7a and ­3a
4x2 and 12x2
6ab and ­2a
xy2 and x2y
Variable Factors
Like Terms?
Simplified
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1.7 ­ The Distributive Property.notebook
September 14, 2015
*An algebraic expression is in simplest form when it has no like
terms or parentheses!
Not Simplified
Simplified
Ex 5). What is the simplified form of each expression?
a) 5x2 + 7x2
b) 7x – 5 – 3x + 2y + 1
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1.7 ­ The Distributive Property.notebook
September 14, 2015
Homework:
pg. 49 #10 – 42(e), 54 – 64(e), 79, 80
Chapter 1 Test ­ Friday
MathXL Orientation is due on Wednesday (7am)
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