Distributive Property

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2.4

• Distributive Property

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2.4 Distributive Property

• Goals / I can
• Use the Distributive Property
• Simplify algebraic expressions

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2.4 Distributive Property

• PROPERTY Distributive Property
• For every real number
• a(b c) ab ac (b c)a ba ca
• a(b c) ab ac (b c)a ba ac

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2.4 Distributive Property

• example
• 3(4m 7) -(5q 6)

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Like Terms are terms with the same variable AND
exponent.
To simplify expressions with like terms, simply
combine the like terms.
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2.4 Distributive Property

• Combining like terms
• Like terms have exactly the same variable
  factors.
• 6y 12y 4t 2t
• -9w 6w 5d d

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Which of the following is the simplified form of
-4x 7x
2.4 Distributive Property

1. -4
2. 3x
3. -3x
4. 4

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Are these like terms? 1) 13k, 22k
Yes, the variables are the same. 2) 5ab, 4ba
Yes, the order of the variables doesnt
matter. 3) x3y, xy3 No, the exponents are on
different variables.
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Simplify1) 5a 7a

• 12a
• 2) 6.1y - 3.2y
• 2.9y
• 3) 4x2y x2y
• 5x2y
• 4) 3m2n 10mn2 7m2n - 4mn2
• 10m2n 6mn2

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5) 13a 8a 6b

• 21a 6b
• 6) 4d 6a2 - d 12a2
• 18a2 3d

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If a triangle has sides 3x - 2, 5 - x and 2x - 5,
what is the perimeter of the triangle?
2.4 Distributive Property

1. 4x - 2
2. 4x 2
3. 5x - 2
4. 5x - 7

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The coefficient is
2.4 Distributive Property

• the numerical part of the term.
• Examples
• 1) 4a 4
• 2) y2 1