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.

- 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.

Example 1

Find (7y2 + 2y – 3) + (2 – 4y + 5y2).

Example 1

Find (7y2 + 2y – 3) + (2 – 4y + 5y2).

(7y2 + 2y – 3) + (2 – 4y + 5y2)

12y2

Example 1

Find (7y2 + 2y – 3) + (2 – 4y + 5y2).

(7y2 + 2y – 3) + (2 – 4y + 5y2)

12y2

Example 1

Find (7y2 + 2y – 3) + (2 – 4y + 5y2).

(7y2 + 2y – 3) + (2 – 4y + 5y2)

12y2

Example 1

Find (7y2 + 2y – 3) + (2 – 4y + 5y2).

(7y2 + 2y – 3) + (2 – 4y + 5y2)

12y2 – 2y

Example 1

Find (7y2 + 2y – 3) + (2 – 4y + 5y2).

(7y2 + 2y – 3) + (2 – 4y + 5y2)

12y2 – 2y

Example 1

Find (7y2 + 2y – 3) + (2 – 4y + 5y2).

(7y2 + 2y – 3) + (2 – 4y + 5y2)

12y2 – 2y

Example 1

Find (7y2 + 2y – 3) + (2 – 4y + 5y2).

(7y2 + 2y – 3) + (2 – 4y + 5y2)

12y2 – 2y – 1

Example 1

Find (7y2 + 2y – 3) + (2 – 4y + 5y2).

(7y2 + 2y – 3) + (2 – 4y + 5y2)

12y2 – 2y – 1

Example 2

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

Example 2

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

-y4

Example 2

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

-y4 + 4y2

Example 2

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

-y4 + 4y2 + 2y

Example 2

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

-y4 + 4y2 + 2y

Example 3The 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.

Example 3Perimeter = Side 1 + Side 2 + Side 3

Side 3 = Perimeter – (Side 1 + Side 2)

= (10x + 5y) – ((3x + 4y) + (5x – y))

= (10x + 5y) – (8x + 3y)

Example 3Perimeter = 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

Example 3Perimeter = 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

Homework

Pg 441

12 – 30 (even)

36 & 37