The Distributive Property
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The Distributive Property
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The Distributive Property. The Distributive Property. The process of distributing the number on the outside of the parentheses to each term on the inside. a(b + c) = ab + ac a(b - c) = ab – ac Example #1 5(x + 7) = 5 • x + 5 • 7 = 5x + 35. Example #2 3(m - 4) =3 • m - 3 • 4 - PowerPoint PPT Presentation
Transcript of The Distributive Property
The Distributive Property
The Distributive PropertyThe process of distributing the number
on the outside of the parentheses to each term on the inside.
a(b + c) = ab + ac
a(b - c) = ab – acExample #1
5(x + 7)
= 5 • x + 5 • 7
= 5x + 35
Example #2
3(m - 4)=3 • m - 3 • 4=3m - 12
Example #3
-2(y + 3)= -2 • y + (-2) • 3= -2y + (-6)= -2y - 6
Be very careful with the signs!
Example #4 and #5
-7(2x – 5)= -7 • 2x - 7 • (-5)= -14x + 35
x(3x – 8)= x • 3x + x • (-8)= 3x2 - 8x
Be very careful with the signs!
Example #6
-½x(2x – 6)= - ½x• 2x - ½x• (-6)= -x2 + 3x
Your turn
a)7(3x – 8)
b)-5(6 – x)
c)x(x + 9)
d)
e)
)1512(3
1yx
)84(2 2 xxx
Homework
Worksheet