1. Holt CA Course 1 12-3Adding Polynomials Warm Up Warm Up Lesson Presentation Lesson Presentation California Standards California StandardsPreview

2. Holt CA Course 1 12-3Adding Polynomials Warm Up Combine like terms. 1. 9x + 4x2. –3y + 7y 3. 7n + (–8n) + 12n Find the perimeter of each rectangle. 4. a 10 ft by 12 ft rectangle 5. a 5 m by 8 m rectangle Simplify. 6. 3(2x 2 – x) + x 2 + 1 13x 4y4y 11n 44 ft 26 m 7x 2 – 3x + 1

3. Holt CA Course 1 12-3Adding Polynomials Preview of Algebra 1 10.0 Students add, subtract, multiply, and divide monomials and polynomials. Students solve multistep problems, including word problems, by using these techniques. Also covered: 7AF1.3 California Standards

4. Holt CA Course 1 12-3Adding Polynomials Additional Example 1: Adding Polynomials Horizontally Add. A. (5x 3 + x 2 + 2) + (4x 3 + 6x 2 ) Commutative PropertyCombine like terms.Write as one polynomial.

5. Holt CA Course 1 12-3Adding Polynomials Additional Example 1: Adding Polynomials Horizontally Add. B. (6x 3 + 8y 2 + 5xy) + (4xy – 2y 2 ) Commutative PropertyCombine like terms.Write as one polynomial.

6. Holt CA Course 1 12-3Adding Polynomials Additional Example 1: Adding Polynomials Horizontally Add. C. (3x 2 y – 5x) + (4x + 7) + 6x 2 y Commutative PropertyCombine like terms.Write as one polynomial.

7. Holt CA Course 1 12-3Adding Polynomials Check It Out! Example 1 Add. A. (3y 4 + y 2 + 6) + (5y 4 + 2y 2 ) Commutative PropertyCombine like terms.Write as one polynomial.

8. Holt CA Course 1 12-3Adding Polynomials Check It Out! Example 1 Add. B. (9x 3 + 6p 2 + 3xy) + (8xy – 3p 2 ) Commutative PropertyCombine like terms.Write as one polynomial.

9. Holt CA Course 1 12-3Adding Polynomials Check It Out! Example 1 Add. C. (3z 2 w – 5x) + (2x + 8) + 6z 2 w Commutative PropertyCombine like terms.Write as one polynomial.

10. Holt CA Course 1 12-3Adding Polynomials You can also add polynomials in a vertical format. Write the second polynomial below the first one. Be sure to line up the like terms. If the terms are rearranged, remember to keep the correct sign with each term.

11. Holt CA Course 1 12-3Adding Polynomials Additional Example 2: Adding Polynomials Vertically Add. A. (4x 2 + 2x + 11) + (2x 2 + 6x + 9) Combine like terms. Place like terms in columns.

12. Holt CA Course 1 12-3Adding Polynomials Additional Example 2: Adding Polynomials Vertically Add. B. (3mn 2 – 6m + 6n) + (5mn 2 + 2m – n) C. (–x 2 y 2 + 5x 2 ) + (–2y 2 + 2) + (x 2 + 8) Combine like terms. Place like terms in columns. Combine like terms. Place like terms in columns.

13. Holt CA Course 1 12-3Adding Polynomials Check It Out! Example 2 Add. A. (6x 2 + 6x + 13) + (3x 2 + 2x + 4) Combine like terms. Place like terms in columns.

14. Holt CA Course 1 12-3Adding Polynomials Check It Out! Example 2 Add. B. (4mn 2 + 6m + 2n) + (2mn 2 – 2m – 2n) C. (x 2 y 2 – 5x 2 ) + (2y 2 – 2) + (x 2 ) Combine like terms. Place like terms in columns. Combine like terms. Place like terms in columns.

15. Holt CA Course 1 12-3Adding Polynomials Lesson Quiz Add. 1. (2m 2 – 3m + 7) + (7m 2 – 1) 2. (yz 2 + 5yz + 7) + (2yz 2 – yz) 3. (2xy 2 + 2x – 6) + (5xy 2 + 3y + 8) 9m 2 – 3m + 6 3yz 2 + 4yz + 7 7xy 2 + 2x + 3y + 2 4. (3np 3 + 4n) + (5np 3 – n – 6) + (2n – 3) 5. The base of an isosceles triangle has length x + 4. The two legs of the triangle have lengths 3x + y. Write an expression for the perimeter of the triangle. 7x + 2y + 4 8np 3 + 5n – 9