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Addsub Polynomials
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this is a 7th grade math lesson

this is a 7th grade math lesson

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Transcript

  • 1. Guiding Question How do we add and subtract polynomials? Entry point : I have two baskets of fruit. In one basket, I have 3 apples, 5 bananas, and 7 cupcakes. In another basket I have 6 apples, 8 bananas and 2 cupcakes. How many apples, bananas and cupcakes do I have?
  • 2. 1. Add the following polynomials: (9y - 7x + 15a) + (-3y + 8x - 8a)
    • Group your like terms.
    • 9y - 3y - 7x + 8x + 15a - 8a
    • 6y + x + 7a
  • 3.
    • Combine your like terms.
    • 3a 2 + 3ab + 4ab - b 2 + 6b 2
    • 3a 2 + 7ab + 5b 2
    2. Add the following polynomials: (3a 2 + 3ab - b 2 ) + (4ab + 6b 2 )
  • 4. Add the polynomials. +
    • x 2 + 3x + 7y + xy + 8
    • x 2 + 4y + 2x + 3
    • 3x + 7y + 8
    • x 2 + 11xy + 8
    X 2 1 1 X X XY Y Y Y Y 1 1 1 X Y Y Y 1 1 1
  • 5.
    • Line up your like terms.
    • 4x 2 - 2xy + 3y 2
    • + -3x 2 - xy + 2y 2
    • _________________________
    • x 2 - 3xy + 5y 2
    3. Add the following polynomials using column form: (4x 2 - 2xy + 3y 2 ) + (-3x 2 - xy + 2y 2 )
  • 6. Rewrite subtraction as adding the opposite. (9y - 7x + 15a) + ( + 3y - 8x + 8a) Group the like terms. 9y + 3y - 7x - 8x + 15a + 8a 12y - 15x + 23a 4. Subtract the following polynomials: (9y - 7x + 15a) - (-3y + 8x - 8a)
  • 7.
    • Rewrite subtraction as adding the opposite.
    • (7a - 10b) + ( - 3a - 4b)
    • Group the like terms.
    • 7a - 3a - 10b - 4b
    • 4a - 14b
    5. Subtract the following polynomials: (7a - 10b) - (3a + 4b)
  • 8.
    • Line up your like terms and add the opposite.
    • 4x 2 - 2xy + 3y 2
    • + ( + 3x 2 + xy - 2y 2 )
    • --------------------------------------
    • 7x 2 - xy + y 2
    6. Subtract the following polynomials using column form: (4x 2 - 2xy + 3y 2 ) - (-3x 2 - xy + 2y 2 )
  • 9. Find the sum or difference. (5a – 3b) + (2a + 6b)
    • 3a – 9b
    • 3a + 3b
    • 7a + 3b
    • 7a – 3b
  • 10. Find the sum or difference. (5a – 3b) – (2a + 6b)
    • 3a – 9b
    • 3a + 3b
    • 7a + 3b
    • 7a – 9b