2. By Lori Young

3. Objectives The student will be able to: 1. add and subtract polynomials. MA-HS-5.2.2a Designed by Skip Tyler, Varina High School

4. Add the polynomials. + 1. x 2 + 3x + 7y + xy + 8 2. x 2 + 4y + 2x + 3 3. 3x + 7y + 8 4. x 2 + 11xy + 8 X2X2 11 X X XY Y Y Y Y 111 X Y Y Y 1 11

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

6. 2. Add the following polynomials: (3a 2 + 3ab - b 2 ) + (4ab + 6b 2 ) Combine your like terms. 3a 2 + 3ab + 4ab - b 2 + 6b 2 3a 2 + 7ab + 5b 2

7. 3. Add the following polynomials using column form: (4x 2 - 2xy + 3y 2 ) + (-3x 2 - xy + 2y 2 ) Line up your like terms. 4x 2 - 2xy + 3y 2 +-3x 2 - xy + 2y 2 _________________________ x 2 - 3xy + 5y 2

8. 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

9. 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

10. 6. Subtract the following polynomials using column form: (4x 2 - 2xy + 3y 2 ) - (-3x 2 - xy + 2y 2 ) Line up your like terms and add the opposite. 4x 2 - 2xy + 3y 2 + (+ 3x 2 + xy - 2y 2 ) -------------------------------------- 7x 2 - xy + y 2

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

12. Find the sum or difference. (5a – 3b) – (2a + 6b) 1. 3a – 9b 2. 3a + 3b 3. 7a + 3b 4. 7a – 9b Click Here for demonstration of Project

13. Resources http://www.algebra.com/algebra/homework/Polynom ials-and-rational-expressions/Lessons.html http://www.algebra.com/algebra/homework/Polynom ials-and-rational-expressions/Lessons.html www.math.com