The Distributive Property Notes Day 1
Presentation
•
Mathematics
•
9th - 12th Grade
•
Practice Problem
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Hard
Sarah Samms
Used 6+ times
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11 Slides • 0 Questions
1
The Distributive Property Notes Day 1
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Distributive Property
Is a property of real numbers that helps simplify expressions
a(b + c) = ab + ac
(30 - 2)7 = 30(7) - 2(7)
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Simplifying Expressions
4(x + 2)
4(x) + 4(2)
4x + 8
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Simplifying Expressions
(2x + 3) (-3)
-3(2x) + 3(-3)
-6x - 9
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Simplifying Expressions
-6(4x - 1)
-24x - 6
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Simplifying Expressions
(-3x + 5) (2)
-6x + 10
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Multiplication Property
The multiplication property of -1 * X = -X
To simplify an expression such as -(x + 6) you can rewrite the expression as -1(x + 6) and use the distributive property.
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Multiplication Property of -1
Simplify
-(x + 5)
-1(x + 5)
-1 (x) + (-1) (-5)
-x - 5
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Multiplication Property of -1
Simplify
-(-x + 3)
-1(-x + 3)
x - 3
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Multiplication Property of -1
Simplify
-(4x - 2)
-1(4x - 2)
-4x + 2
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Multiplication Property of -1
Simplify
-(9x - 8y)
-1(9x - 8y)
-9x + 8y
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