1. Adding and Subtracting Polynomials Section 7.1

2. Bellwork

3. Add (3x+2)+(x-5) 4X - 3

5. You Try

6. Finding the Degrees of Monomials  A monomial is a number, a variable, or the product of a number and one or more variables with whole number exponents.  The degree of a monomial is the sum of the exponents of the variables in the monomial. The degree of a nonzero constant term is 0. The constant 0 does not have a degree.

7. Degree of Monomial

8. Finding the Degrees of Monomials

9. You Try

10. Polynomial

13. Bellwork

14. Adding polynomials

15. Adding Polynomials

16. Practice

17. 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 )

18. 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 Subtract the following polynomials: (9y - 7x + 15a) - (-3y + 8x - 8a)

19. 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)

20. 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 )

21. Find the sum or difference. (5a – 3b) + (2a + 6b) 1. 3a – 9b 2. 3a + 3b 3. 7a + 3b 4. 7a – 3b

22. Find the sum or difference. (5a – 3b) – (2a + 6b) 1. 3a – 9b 2. 3a + 3b 3. 7a + 3b 4. 7a – 9b

23. Subtraction Polynomials

24. Subtracting Polynomial

25. You Try