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Objective The student will be able to: ,[object Object],Adapted from: Skip Tyler, Varina High School and Nicole Kessinger, Deep Run High School
The Distributive Property ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
Example #2 3(m - 4) 3 • m - 3 • 4 3m - 12 Example #3 -2(y + 3) -2 • y + (-2) • 3 -2y + (-6) -2y - 6
Which statement demonstrates the distributive property  incorrectly ?  ,[object Object],[object Object],[object Object],[object Object],Answer Now
A  term  is a ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]
The  coefficient  is ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],3)
Like Terms   are terms with the same variable AND exponent. To simplify expressions with like terms, simply  combine  the like terms.
Are these like terms? 1)  13k, 22k Yes, the variables are the same . 2)  5ab, 4ba Yes, the order of the variables doesn’t matter. 3)  x 3 y, xy 3 No, the exponents are on different variables.
Which of the following is the simplified form of  -4x + 7x  ? ,[object Object],[object Object],[object Object],[object Object],Answer Now
The above expression simplifies to:  5a  and  a  are like terms and are like terms
[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Simplify 1)  5a + 7a
[object Object],[object Object],[object Object],5)  13a + 8a + 6b 7) y
Which of the following is the simplified form of  5x - 4 - 7x + 14  ? ,[object Object],[object Object],[object Object],[object Object],Answer Now
If a triangle has sides 3x - 2, 5 - x and 2x - 5, what is the perimeter of the triangle? ,[object Object],[object Object],[object Object],[object Object],Answer Now
Which figure below models the simplification of  - 4x - 5 + 7x + 7  using these tiles? Answer Now
Bonus! Which of the following is the simplified form of  a + 3a - 4(9 - a)  ? ,[object Object],[object Object],[object Object],[object Object],Answer Now

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Distributive

  • 1.
  • 2.
  • 3. Example #2 3(m - 4) 3 • m - 3 • 4 3m - 12 Example #3 -2(y + 3) -2 • y + (-2) • 3 -2y + (-6) -2y - 6
  • 4.
  • 5.
  • 6.
  • 7. Like Terms are terms with the same variable AND exponent. To simplify expressions with like terms, simply combine the like terms.
  • 8. Are these like terms? 1) 13k, 22k Yes, the variables are the same . 2) 5ab, 4ba Yes, the order of the variables doesn’t matter. 3) x 3 y, xy 3 No, the exponents are on different variables.
  • 9.
  • 10. The above expression simplifies to: 5a and a are like terms and are like terms
  • 11.
  • 12.
  • 13.
  • 14.
  • 15. Which figure below models the simplification of - 4x - 5 + 7x + 7 using these tiles? Answer Now
  • 16.