1 / 14

Warm Up Simplify each expression by combining like terms. 1. 4 x + 2 x 2. 3 y + 7 y

Warm Up Simplify each expression by combining like terms. 1. 4 x + 2 x 2. 3 y + 7 y 3. 8 p – 5 p 4. 5 n + 6 n 2 Simplify each expression. 5. 3( x + 4) 6. –2( t + 3) 7. –1( x 2 – 4 x – 6). 6 x. 10 y. 3 p. not like terms. 3 x + 12. –2 t – 6. – x 2 + 4 x + 6.

dgarza
Download Presentation

Warm Up Simplify each expression by combining like terms. 1. 4 x + 2 x 2. 3 y + 7 y

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Warm Up Simplify each expression by combining like terms. 1.4x + 2x 2. 3y + 7y 3. 8p – 5p 4. 5n + 6n2 Simplify each expression. 5. 3(x + 4) 6. –2(t + 3) 7. –1(x2 – 4x – 6) 6x 10y 3p not like terms 3x + 12 –2t – 6 –x2 + 4x + 6

  2. slope = 4; y-intercept = Graph the line given the slope and y-intercept.

  3. Learning Target Students will be able to: Add and subtract polynomials.

  4. Just as you can perform operations on numbers, you can perform operations on polynomials. To add or subtract polynomials, combine like terms.

  5. Add or Subtract.. D. 10m2n + 4m2n– 8m2n A. 12p3 + 11p2 + 8p3 12p3 + 11p2 + 8p3 10m2n + 4m2n– 8m2n 6m2n 20p3 + 11p2 E. 2s2 + 3s2 + s B. 5x2 – 6 – 3x + 8 2s2 + 3s2 + s 5x2– 6 – 3x+ 8 5s2 + s 5x2 – 3x + 2 F. 4z4– 8 + 16z4 + 2 C. t2 + 2s2– 4t2 –s2 4z4– 8+ 16z4+ 2 t2+ 2s2– 4t2 – s2 –3t2+ s2 20z4 – 6

  6. Add or subtract. G. 2x8 + 7y8–x8–y8 2x8+ 7y8– x8– y8 x8 + 6y8 H. 9b3c2 + 5b3c2– 13b3c2 9b3c2 + 5b3c2 – 13b3c2 b3c2

  7. 5x2+ 4x+1 + 2x2+ 5x+ 2 7x2+9x+3 Polynomials can be added in either vertical or horizontal form. In vertical form, align the like terms and add: (5x2 + 4x + 1) + (2x2 + 5x+ 2) = 7x2+ 9x+ 3

  8. Add. A. (4m2 + 5) + (m2 – m + 6) 5m2 – m + 11 B. (10xy + x) + (–3xy + y) 7xy+ x +y C. (6x2 – 4y) + (3x2 + 3y – 8x2 – 2y) x2– 3y D.

  9. Add (5a3 + 3a2 – 6a + 12a2) + (7a3–10a). 12a3 + 15a2 –16a Distribute. –(2x3 – 3x + 7)= –2x3 + 3x– 7 Subtract. (x3 + 4y) – (2x3) –x3 + 4y

  10. Subtract. (7m4 – 2m2) –(5m4 – 5m2 + 8) 2m4 + 3m2 – 8

  11. Subtract. (–10x2 – 3x + 7) – (x2 – 9) –11x2 – 3x + 16

  12. Subtract. (9q2 – 3q) – (q2 – 5)

  13. Subtract. (2x2 – 3x2 + 1) – (x2+ x + 1)

  14. –0.05x2 + 46x – 3200 The profits of two different manufacturing plants can be modeled as shown, where x is the number of units produced at each plant. Use the information above to write a polynomial that represents the total profits from both plants. –0.03x2 + 25x – 1500 + –0.02x2 + 21x – 1700

More Related