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Combining Like Terms with the Distributive Property

Combining Like Terms with the Distributive Property. Let’s see how we are doing?. Terms are numbers, variables, or products of numbers and variables. Like Terms – Variables and it’s power must be EXACTLY the same. Let’s Combine Like Terms. How did we do? Example #1.

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Combining Like Terms with the Distributive Property

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  1. Combining Like Terms with the Distributive Property Let’s see how we are doing?

  2. Terms are numbers, variables, or products of numbers and variables

  3. Like Terms – Variables and it’s power must be EXACTLY the same

  4. Let’s Combine Like Terms

  5. How did we do?Example #1 • Lets use the properties to help organize our problem

  6. Example #2 • Use properties

  7. Let’s Simplify Algebraic Expressions • Remember: • 1- Get rid of ALL grouping symbols • 2- Combine ALL like terms

  8. Simplify Each Expression • EX.1: 6a+9(a+3) • Ex.2: 4(3b+c)+7(8c+4b)

  9. How did we do? • EX.1: 6a+9(a+3)

  10. Answer Example #1 • 6a+9(a+3) • 6a + 9 • a + 9 • 3 • 6a + 9a + 27 • 15a + 27

  11. Example #2 • Ex.2: 4(3b+c)+7(8c+4b)

  12. Answer Example #2 • 4(3b+c)+7(8c+4b) 4 • 3b + 4 • c + 7 • 8c + 7 • 4b 12b + 4c + 56c + 28b 12b + 28b + 4c +56c 40b + 60c

  13. One More for FUN • Ex.3: Simplify 6a – b + 3ab

  14. Answer Example #3 • Simplify 6a – b + 3ab • It is already in Simplest Form

  15. HW or More Review?? • HW – WS – “What Did the Spanish Farmer Say to His Chicken?” • Must Show ALL work on a separate sheet of paper for credit

  16. Out -Ticket • Simplify • 1. 6p + 32 + 4P – 15 – p – 2 • 2. 9(7 + 6n)

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