Distributive Property

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Distributive Property Combining Like Terms

• SPI 6.3.4
• I CAN rewrite expressions.

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• Examples of Unlike Terms
• Examples of Like Terms

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What are like terms?

• Like terms because each term consists of a single
  variable, x, and a numeric coefficient
• 2x, 45x, x, 0x, -26x, -x
• Like terms because they are all constants
• 15, -2, 27, 9043, 0.6
• Like terms because they are all y² with a
  coefficient 3y², y², -y², 26y²

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What are unlike terms?

• The following two terms both have a single
  variable, but the terms are not alike since
  different variables are used 17x, 17z
• Each y variable in the terms below has a
  different exponent, therefore these are unlike
  terms 15y, 19y², 31y5
• Although both terms below have an x variable,
  only one term has the y variable, thus these are
  not like terms either 19x, 14xy

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Distributive Property

• Example
• 6(a 3) Use the Distributive Property
• (6a) (6 x 3) Multiply
• 6a 18 Simplified
• CAN NOT add 6a 18 together because they are
  not like terms.

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Distributive Property

• Step 1) Use the Distributive Property 3 (2x
  5) - 2x
• Step 2) Combine Like Terms 6x 15 2x
• 6x and 2x are like terms!!!!
• Step 3) Simplified Expression 4x 15

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Practice Problems

• Simplify this expression
• 4(n 6) 3n?

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Practice Problems

• Solve 2x 6(x 1)
• Explain how each of the below answers are wrong
  and why.
• 2x 6x 1
• 9x

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Practice Problems

• What value of w makes the equation below true?
• 4w 5w 36

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Practice Problems
What happens when you add 80 to the problem

• What is the simplified form of the expression
  below?
• (12z 6z) 3z 8

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Practice Problems

• Write the following expression in a different
  way.
• (a x 7) (a x 6) 3

Whats wrong with this answer? 45a