Transcript The Distributive Property PowerPoint

The
Distributive
Property 1-5
Objective: Students will use the
Distributive Property to
evaluate expressions and to
simplify expressions.
S. Calahan
2008
The Distributive Property
• For any numbers a, b, and c,
a(b + c) = ab + ac or a(b – c) = ab – ac
Example: 3(2 + 5) = 3 • 2 + 3 • 5
3(7) = 6 + 15
21 = 21
Algebraic Expressions:
Distribute
5(g – 9)
= 5 • g – 5 •9
= 5g - 45
2
3(2x
+ 4x – 1)
2
3(2x )
+ 3(4x) -3(1)
2
= 6x + 12x - 3
vocabulary
• Term – a number, a
variable, or a product or
quotient of numbers and
variables.
3
• Examples: y, p , 4a, 5gh
2
• 2x + 6x + 5 has three
terms
Like Terms
• Terms that contain the
same variables with the
same powers.
2
2
• Example: 3a + 5a + 2a
2
2
• 3a and 5a are like
terms.
Coefficient
• The numerical factor of a
term.
• Example: 17xy the
coefficient is the 17.
Equivalent expressions
• Equal the same number.
• Example: 5n + 7n = 12n
• Simplest form – having
no like terms or
parentheses.
Simplify the expressions.
• 17a + 21a
= 38a
2
2
• 12b – 8b + 6b
2
= 4b + 6b
2
14a
+
2
13b
+ 27
• This is already simplified
because there are not
any like terms.