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Algebra 1 Notes: Lesson 8-5: Adding and Subtracting Polynomials

Algebra 1 Notes: Lesson 8-5: Adding and Subtracting Polynomials. Mathematics Standards Number, Number Sense and Operations : Explain the effects of operations such as multiplication or division, and of computing powers and roots on the magnitude of quantities.

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Algebra 1 Notes: Lesson 8-5: Adding and Subtracting Polynomials

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  1. Algebra 1 Notes:Lesson 8-5:Adding and Subtracting Polynomials

  2. Mathematics Standards • Number, Number Sense and Operations: Explain the effects of operations such as multiplication or division, and of computing powers and roots on the magnitude of quantities. • Patterns, Functions and Algebra: Add, subtract, multiply and divide monomials and polynomials. • Patterns, Functions and Algebra: Simplify rational expressions by eliminating common factors and applying properties of integer exponents. • Patterns, Functions and Algebra: Solve real-world problems that can be modeled using linear, quadratic, exponential or square root functions.

  3. Example 1 Find (7y2 + 2y – 3) + (2 – 4y + 5y2).

  4. Example 1 Find (7y2 + 2y – 3) + (2 – 4y + 5y2). (7y2 + 2y – 3) + (2 – 4y+5y2) 12y2

  5. Example 1 Find (7y2 + 2y – 3) + (2 – 4y + 5y2). (7y2 + 2y – 3) + (2 – 4y + 5y2) 12y2

  6. Example 1 Find (7y2 + 2y – 3) + (2 – 4y + 5y2). (7y2+2y – 3) + (2 –4y + 5y2) 12y2

  7. Example 1 Find (7y2 + 2y – 3) + (2 – 4y + 5y2). (7y2+2y – 3) + (2 –4y + 5y2) 12y2 – 2y

  8. Example 1 Find (7y2 + 2y – 3) + (2 – 4y + 5y2). (7y2 + 2y – 3) + (2 – 4y + 5y2) 12y2 – 2y

  9. Example 1 Find (7y2 + 2y – 3) + (2 – 4y + 5y2). (7y2 + 2y– 3) +(2 – 4y + 5y2) 12y2 – 2y

  10. Example 1 Find (7y2 + 2y – 3) + (2 – 4y + 5y2). (7y2 + 2y– 3) + (2 – 4y + 5y2) 12y2 – 2y– 1

  11. Example 1 Find (7y2 + 2y – 3) + (2 – 4y + 5y2). (7y2 + 2y – 3) + (2 – 4y + 5y2) 12y2 – 2y – 1

  12. Example 2 Find (6y2 + 8y4 – 5y) – (9y4 – 7y + 2y2).

  13. Example 2 Find (6y2+ 8y4– 5y) – (9y4 – 7y + 2y2). -y4

  14. Example 2 Find (6y2 + 8y4 – 5y) – (9y4 – 7y+ 2y2). -y4 + 4y2

  15. Example 2 Find (6y2 + 8y4– 5y) – (9y4– 7y+ 2y2). -y4 + 4y2 + 2y

  16. Example 2 Find (6y2 + 8y4 – 5y) – (9y4 – 7y + 2y2). -y4 + 4y2 + 2y

  17. Example 3 The measures of two sides of a triangle are given. If P is the perimeter, and P = 10x + 5y, find the measure of the third side.

  18. Example 3 Perimeter = Side 1 + Side 2 + Side 3 Side 3 = Perimeter – (Side 1 + Side 2) = (10x + 5y) – ((3x + 4y) + (5x – y)) = (10x + 5y) – (8x + 3y)

  19. Example 3 Perimeter = Side 1 + Side 2 + Side 3 Side 3 = Perimeter – (Side 1 + Side 2) = (10x + 5y) – ((3x + 4y) + (5x – y)) = (10x + 5y) – (8x + 3y) = 2x + 2y

  20. Example 3 Perimeter = Side 1 + Side 2 + Side 3 Side 3 = Perimeter – (Side 1 + Side 2) = (10x + 5y) – ((3x + 4y) + (5x – y)) = (10x + 5y) – (8x + 3y) = 2x + 2y

  21. Homework Pg 441 12 – 30 (even) 36 & 37

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