DISTRIBUTIVE PROPERTY II

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DISTRIBUTIVE PROPERTY II
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Distributive Property

• a (b c) ab ac
• Or
• a (b - c) ab - ac

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Combining Like Terms - Vocabulary

• Term number, variable, or the product of a
  number and one or more variables
• Examples
• 3
• y
• 4xyz

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Vocabulary

• Term number, variable, or the product of a
  number and one or more variables

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Vocabulary

• Term number, variable, or the product of a
  number and one or more variables
• Constant no variables (doesnt change)

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Vocabulary

• Term number, variable, or the product of a
  number and one or more variables
• Constant no variables (doesnt change)
• Coefficient number portion of a term with
  variables

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Like Terms

• Exactly the same variable portion
• Examples
• 2x 5x -3x
• 4x2 -3x2

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Like Terms

• Like terms can be combined using the distributive
  property
• For example, suppose you had 2x 5x
• This could be rewritten as (2 5)(x) or 7x

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IMPORTANT

• Only the coefficient (number in front of the
  terms) are combined.
• The variable portion stays EXACTLY the same

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Combine like terms

• 6x 5x
• (6 5)(x)
• 11x

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Combine like terms

• 8y - 7y
• (8 7)(y)
• 1y or just y

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Combine like termsMore than one variable

• 4x 7y 2x
• 4x 2x 7y
• 6x 7y

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Combine like termsMore than one variable

• 7y 5x 5y 2x
• 7y 5y 5x 2x
• 2y 7x

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Distributive Property, Combining Like Terms,
Order of Operations
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Distributive Property, Combining Like Terms,
Order of Operations
Order of operations says that we must multiply
before we add. 3 is being added to 2
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Distributive Property, Combining Like Terms,
Order of Operations
Order of operations says that we must multiply
before we add. 3 is being added to 2 2 is to
be distributed (multiplied)
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Distributive Property, Combining Like Terms,
Order of Operations
Order of operations says that we must multiply
before we add. 3 is being added to 2 2 is to
be distributed (multiplied) We need to
distribute before adding
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Distributive Property, Combining Like Terms,
Order of Operations
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Distributive Property, Combining Like Terms,
Order of Operations
Now we can change the order of the terms to get
the like terms next to each other.
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Distributive Property, Combining Like Terms,
Order of Operations
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Distributive Property, Combining Like Terms,
Order of Operations
Now we need to combine the like terms
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Distributive Property, Combining Like Terms,
Order of Operations
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Example
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Example
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Example
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Assignment

• Distributive Property WS2