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Distributive property to simplify expressions.

Distributive property to simplify expressions. The Distributive Property. The process of distributing the number on the outside of the brackets with each term inside the brackets. Example #1 5(x + 7) 5 • x + 5 • 7 5x + 35. Example #2 Simplify the following: 3(m - 4) =3 • m - 3 • 4

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Distributive property to simplify expressions.

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  1. Distributive property to simplify expressions.

  2. The Distributive Property The process of distributing the number on the outside of the brackets with each term inside the brackets. Example #1 5(x + 7) 5 • x + 5 • 7 5x + 35

  3. Example #2 Simplify the following: 3(m - 4) =3 • m - 3 • 4 =3m - 12

  4. Example #3 Simplify: -2(y + 3) =-2 • y + (-2) • 3 =-2y + (-6) =-2y - 6

  5. Answer Now Which statement demonstrates the distributive property incorrectly? • 3(x + y + z) = 3x + 3y + 3z • (a + b) c = ac + bc • 5(2 + 3x) = 10 + 3x • 6(3k - 4) = 18k - 24

  6. Answer Now Which of the following is the simplified form of a + 3a - 4(9 - a) ? • -36 • 3a - 36 • 8a - 36 • 8a + 36

  7. Simplify • 3a – 2(a-4) + 4a • A) 9a-8 • B) 9a+8 • C) 5a+8 • D) 5a-8

  8. Multiplying a Polynomial by a Monomial Multiply: 3xy(2x + y) 3xy(2x + y) =(3xy • 2x) + (3xy • y) =6x2y + 3xy2

  9. Add and subtract polynomials.

  10. 1. Add the following polynomials:(9y - 7x + 15a) + (-3y + 8x - 8a) Group your like terms. =9y - 3y - 7x + 8x + 15a - 8a =6y + x + 7a = 9y - 7x + 15a -3y + 8x - 8a

  11. 2. Add the following polynomials:(3a2 + 3ab - b2) + (4ab + 6b2) Combine your like terms. =3a2 + 3ab + 4ab - b2 + 6b2 =3a2 + 7ab + 5b2

  12. 5. Subtract the following polynomials: (7a - 10b) - (3a + 4b) Rewrite subtraction as adding the opposite. (7a - 10b) + (- 3a - 4b) Group the like terms. 7a - 3a - 10b - 4b 4a - 14b

  13. Subtract the following polynomials :(4x2 - 2xy + 3y2) - (-3x2 - xy + 2y2) Rewrite subtraction as adding the opposite: 4x2 - 2xy + 3y2 + (+ 3x2+xy- 2y2) = 4x2 - 2xy + 3y2 + 3x2+xy- 2y2 Collect like terms: = 4x2+ 3x2 - 2xy +xy + 3y2 - 2y2 = 7x2 - xy + y2

  14. Find the sum or difference.(5a – 3b) + (2a + 6b) • 3a – 9b • 3a + 3b • 7a + 3b • 7a – 3b

  15. Find the sum or difference.(5a – 3b) – (2a + 6b) • 3a – 9b • 3a + 3b • 7a + 3b • 7a – 9b

  16. Class Work and Homework: • Pages 3- 6 of your workbook

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