Addsub Polynomials

468 views

Published on

this is a 7th grade math lesson

Published in: Business, Technology
0 Comments
0 Likes
Statistics
Notes
  • Be the first to comment

  • Be the first to like this

No Downloads
Views
Total views
468
On SlideShare
0
From Embeds
0
Number of Embeds
3
Actions
Shares
0
Downloads
9
Comments
0
Likes
0
Embeds 0
No embeds

No notes for slide

Addsub Polynomials

  1. 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. 2. 1. Add the following polynomials: (9y - 7x + 15a) + (-3y + 8x - 8a) <ul><li>Group your like terms. </li></ul><ul><li>9y - 3y - 7x + 8x + 15a - 8a </li></ul><ul><li>6y + x + 7a </li></ul>
  3. 3. <ul><li>Combine your like terms. </li></ul><ul><li>3a 2 + 3ab + 4ab - b 2 + 6b 2 </li></ul><ul><li>3a 2 + 7ab + 5b 2 </li></ul>2. Add the following polynomials: (3a 2 + 3ab - b 2 ) + (4ab + 6b 2 )
  4. 4. Add the polynomials. + <ul><li>x 2 + 3x + 7y + xy + 8 </li></ul><ul><li>x 2 + 4y + 2x + 3 </li></ul><ul><li>3x + 7y + 8 </li></ul><ul><li>x 2 + 11xy + 8 </li></ul>X 2 1 1 X X XY Y Y Y Y 1 1 1 X Y Y Y 1 1 1
  5. 5. <ul><li>Line up your like terms. </li></ul><ul><li> 4x 2 - 2xy + 3y 2 </li></ul><ul><li>+ -3x 2 - xy + 2y 2 </li></ul><ul><li>_________________________ </li></ul><ul><li>x 2 - 3xy + 5y 2 </li></ul>3. Add the following polynomials using column form: (4x 2 - 2xy + 3y 2 ) + (-3x 2 - xy + 2y 2 )
  6. 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. 7. <ul><li>Rewrite subtraction as adding the opposite. </li></ul><ul><li>(7a - 10b) + ( - 3a - 4b) </li></ul><ul><li>Group the like terms. </li></ul><ul><li>7a - 3a - 10b - 4b </li></ul><ul><li>4a - 14b </li></ul>5. Subtract the following polynomials: (7a - 10b) - (3a + 4b)
  8. 8. <ul><li>Line up your like terms and add the opposite. </li></ul><ul><li> 4x 2 - 2xy + 3y 2 </li></ul><ul><li>+ ( + 3x 2 + xy - 2y 2 ) </li></ul><ul><li>-------------------------------------- </li></ul><ul><li>7x 2 - xy + y 2 </li></ul>6. Subtract the following polynomials using column form: (4x 2 - 2xy + 3y 2 ) - (-3x 2 - xy + 2y 2 )
  9. 9. Find the sum or difference. (5a – 3b) + (2a + 6b) <ul><li>3a – 9b </li></ul><ul><li>3a + 3b </li></ul><ul><li>7a + 3b </li></ul><ul><li>7a – 3b </li></ul>
  10. 10. Find the sum or difference. (5a – 3b) – (2a + 6b) <ul><li>3a – 9b </li></ul><ul><li>3a + 3b </li></ul><ul><li>7a + 3b </li></ul><ul><li>7a – 9b </li></ul>

×