Module 9 - Topic 1

Adding & Subtracting Polynomials

What is a Polynomial?View this Cool Math lesson introducing Polynomials.

There is only the 1 page of notes.

Describe PolynomialsView this Cool Math lesson introducing terms describing Polynomials.

There are 3 pages of notes.

Be sure to complete the Your Turn problems in your notebook. Check your answers on the next slides.

Your Turn on Page 3Find the degree of 3x - x2 .

Your Turn on Page 3Find the degree of 3x - x2 .

The degree is 2.

Your Turn on Page 3Find the degree of 3x - x2 .

The degree is 2.Find the degree of a4b - 7a2b2 .

Your Turn on Page 3Find the degree of 3x - x2 .

The degree is 2.Find the degree of a4b - 7a2b2 .

The degree is 5.

Your Turn on Page 3Find the degree of 3x - x2 .

The degree is 2.Find the degree of a4b - 7a2b2 .

The degree is 5.Find the degree of 7x - 1.

Your Turn on Page 3Find the degree of 3x - x2 .

The degree is 2.Find the degree of a4b - 7a2b2 .

The degree is 5.Find the degree of 7x - 1.

The degree is 1.

Adding & Subtracting Polynomials

View this Cool Math lesson to learn how to add and subtract polynomials.

There are 5 pages of notes.

Be sure to complete the Try It and Your Turn problems in your notebook. Check your answers on the next slides.

Try It on Page 2Simplify: 3x − 4w + z( ) + 6x + 2w + 5z( )

Try It on Page 2Simplify: 3x − 4w + z( ) + 6x + 2w + 5z( )

Remove parenthesis.

Try It on Page 2Simplify: 3x − 4w + z( ) + 6x + 2w + 5z( )

3x − 4w + z + 6x + 2w + 5zRemove parenthesis.

Try It on Page 2Simplify: 3x − 4w + z( ) + 6x + 2w + 5z( )

3x − 4w + z + 6x + 2w + 5zRemove parenthesis.

Rearrange so like terms are

together.

Try It on Page 2Simplify: 3x − 4w + z( ) + 6x + 2w + 5z( )

3x − 4w + z + 6x + 2w + 5zRemove parenthesis.

Rearrange so like terms are

together. 3x + 6x( ) + −4w + 2w( ) + 1z + 5z( )

Try It on Page 2Simplify: 3x − 4w + z( ) + 6x + 2w + 5z( )

3x − 4w + z + 6x + 2w + 5zRemove parenthesis.

Rearrange so like terms are

together. 3x + 6x( ) + −4w + 2w( ) + 1z + 5z( )

Combine like terms.

Try It on Page 2Simplify: 3x − 4w + z( ) + 6x + 2w + 5z( )

9x − 2w + 6z

3x − 4w + z + 6x + 2w + 5zRemove parenthesis.

Rearrange so like terms are

together. 3x + 6x( ) + −4w + 2w( ) + 1z + 5z( )

Combine like terms.

Your Turn on Page 3Simplify. 8x2 − x + 3( ) + 2x2 + 6x +1( )

Your Turn on Page 3Simplify.

Remove parenthesis.

8x2 − x + 3( ) + 2x2 + 6x +1( )

Your Turn on Page 3Simplify.

8x2 − x + 3+ 2x2 + 6x +1Remove parenthesis.

8x2 − x + 3( ) + 2x2 + 6x +1( )

Your Turn on Page 3Simplify.

8x2 − x + 3+ 2x2 + 6x +1Remove parenthesis.

Rearrange so like terms are together.

8x2 − x + 3( ) + 2x2 + 6x +1( )

Your Turn on Page 3Simplify.

8x2 − x + 3+ 2x2 + 6x +1Remove parenthesis.

Rearrange so like terms are together. 8x2 + 2x2( ) + −x + 6x( ) + 3+1( )

8x2 − x + 3( ) + 2x2 + 6x +1( )

Your Turn on Page 3Simplify.

8x2 − x + 3+ 2x2 + 6x +1Remove parenthesis.

Rearrange so like terms are together. 8x2 + 2x2( ) + −x + 6x( ) + 3+1( )

Combine like terms.

8x2 − x + 3( ) + 2x2 + 6x +1( )

Your Turn on Page 3Simplify.

8x2 − x + 3+ 2x2 + 6x +1Remove parenthesis.

Rearrange so like terms are together. 8x2 + 2x2( ) + −x + 6x( ) + 3+1( )

Combine like terms.10x2 + 5x + 4

8x2 − x + 3( ) + 2x2 + 6x +1( )

Try It on Page 3Simplify. 4a2b − ab + 3b2 −1( ) + a2b + 8ab − 6a2 + 5( )

Try It on Page 3Simplify.

Remove parenthesis.

4a2b − ab + 3b2 −1( ) + a2b + 8ab − 6a2 + 5( )

Try It on Page 3Simplify.

4a2b − ab + 3b2 −1+ a2b + 8ab − 6a2 + 5Remove parenthesis.

4a2b − ab + 3b2 −1( ) + a2b + 8ab − 6a2 + 5( )

Try It on Page 3Simplify.

4a2b − ab + 3b2 −1+ a2b + 8ab − 6a2 + 5Remove parenthesis.

Rearrange so like terms are together.

4a2b − ab + 3b2 −1( ) + a2b + 8ab − 6a2 + 5( )

Try It on Page 3Simplify.

4a2b − ab + 3b2 −1+ a2b + 8ab − 6a2 + 5Remove parenthesis.

Rearrange so like terms are together.

4a2b + a2b( ) + −ab + 8ab( ) + 3b2 − 6a2 + −1+ 5( )

4a2b − ab + 3b2 −1( ) + a2b + 8ab − 6a2 + 5( )

Try It on Page 3Simplify.

4a2b − ab + 3b2 −1+ a2b + 8ab − 6a2 + 5Remove parenthesis.

Rearrange so like terms are together.

4a2b + a2b( ) + −ab + 8ab( ) + 3b2 − 6a2 + −1+ 5( )

Combine like terms.

4a2b − ab + 3b2 −1( ) + a2b + 8ab − 6a2 + 5( )

Try It on Page 3Simplify.

4a2b − ab + 3b2 −1+ a2b + 8ab − 6a2 + 5Remove parenthesis.

Rearrange so like terms are together.

4a2b + a2b( ) + −ab + 8ab( ) + 3b2 − 6a2 + −1+ 5( )

Combine like terms.5a2b + 7ab + 3b2 − 6a2 + 4

4a2b − ab + 3b2 −1( ) + a2b + 8ab − 6a2 + 5( )

Your Turn on Page 4Simplify. 3x2 − 4x + 8( ) − x2 + 7x − 5( )

Your Turn on Page 4Simplify.

Remove parenthesis but distribute the negative.

3x2 − 4x + 8( ) − x2 + 7x − 5( )

Your Turn on Page 4Simplify.

3x2 − 4x + 8 − x2 − 7x + 5

Remove parenthesis but distribute the negative.

3x2 − 4x + 8( ) − x2 + 7x − 5( )

Your Turn on Page 4Simplify.

3x2 − 4x + 8 − x2 − 7x + 5

Remove parenthesis but distribute the negative.

Rearrange so like terms are together.

3x2 − 4x + 8( ) − x2 + 7x − 5( )

Your Turn on Page 4Simplify.

3x2 − 4x + 8 − x2 − 7x + 5

Remove parenthesis but distribute the negative.

Rearrange so like terms are together.

3x2 − x2( ) + −4x − 7x( ) + 8 + 5( )

3x2 − 4x + 8( ) − x2 + 7x − 5( )

Your Turn on Page 4Simplify.

3x2 − 4x + 8 − x2 − 7x + 5

Remove parenthesis but distribute the negative.

Rearrange so like terms are together.

3x2 − x2( ) + −4x − 7x( ) + 8 + 5( )Combine like terms.

3x2 − 4x + 8( ) − x2 + 7x − 5( )

Your Turn on Page 4Simplify.

3x2 − 4x + 8 − x2 − 7x + 5

Remove parenthesis but distribute the negative.

Rearrange so like terms are together.

3x2 − x2( ) + −4x − 7x( ) + 8 + 5( )Combine like terms.

2x2 −11x +13

3x2 − 4x + 8( ) − x2 + 7x − 5( )

Your Turn on Page 5 Subtract 3x2 − 6xy + y2 from x2 − 4xy + 5y2 .

Your Turn on Page 5

Write as a subtraction.

Subtract 3x2 − 6xy + y2 from x2 − 4xy + 5y2 .

Your Turn on Page 5

x2 − 4xy + 5y2( ) − 3x2 − 6xy + y2( )Write as a subtraction.

Subtract 3x2 − 6xy + y2 from x2 − 4xy + 5y2 .

Your Turn on Page 5

x2 − 4xy + 5y2( ) − 3x2 − 6xy + y2( )Write as a subtraction.

Remove parenthesis but distribute the negative.

Subtract 3x2 − 6xy + y2 from x2 − 4xy + 5y2 .

Your Turn on Page 5

x2 − 4xy + 5y2( ) − 3x2 − 6xy + y2( )Write as a subtraction.

Remove parenthesis but distribute the negative. x2 − 4xy + 5y2 − 3x2 + 6xy − y2

Subtract 3x2 − 6xy + y2 from x2 − 4xy + 5y2 .

Your Turn on Page 5

x2 − 4xy + 5y2( ) − 3x2 − 6xy + y2( )Write as a subtraction.

Remove parenthesis but distribute the negative. x2 − 4xy + 5y2 − 3x2 + 6xy − y2

Rearrange so like terms are together.

Subtract 3x2 − 6xy + y2 from x2 − 4xy + 5y2 .

Your Turn on Page 5

x2 − 4xy + 5y2( ) − 3x2 − 6xy + y2( )Write as a subtraction.

Remove parenthesis but distribute the negative. x2 − 4xy + 5y2 − 3x2 + 6xy − y2

Rearrange so like terms are together.

Subtract 3x2 − 6xy + y2 from x2 − 4xy + 5y2 .

x2 − 3x2( ) + −4xy + 6xy( ) + 5y2 − y2( )

Your Turn on Page 5

x2 − 4xy + 5y2( ) − 3x2 − 6xy + y2( )Write as a subtraction.

Remove parenthesis but distribute the negative. x2 − 4xy + 5y2 − 3x2 + 6xy − y2

Rearrange so like terms are together.

Subtract 3x2 − 6xy + y2 from x2 − 4xy + 5y2 .

Combine like terms.

x2 − 3x2( ) + −4xy + 6xy( ) + 5y2 − y2( )

Your Turn on Page 5

x2 − 4xy + 5y2( ) − 3x2 − 6xy + y2( )Write as a subtraction.

Remove parenthesis but distribute the negative. x2 − 4xy + 5y2 − 3x2 + 6xy − y2

Rearrange so like terms are together.

−2x2 + 2xy + 4y2

Subtract 3x2 − 6xy + y2 from x2 − 4xy + 5y2 .

Combine like terms.

x2 − 3x2( ) + −4xy + 6xy( ) + 5y2 − y2( )

Let's practice some more at the Explore Learning website using the username and password given to you AND found in the support documents.

Search for the "Addition of Polynomials - Activity A" Gizmo, launch the Gizmo and try at least 5 problems.

After you have completed at least 5 Gizmo problems, scroll down to the Assessment Questions and complete the 4 multiple choice problems.

Pronto or Message me if you have questions.

Gizmo Practice Activity

Adding & Subtracting Polynomials Practice

Practice Adding & Subtracting Polynomials at this Cool Math website.

Select the “Give me a Problem” button to keep trying problems. Do your work in a notebook.

When you select “What’s the Answer?” your answer is erased and correct answer is displayed. Having your work in a notebook will allow you to compare your answer to the correct answer.

Keep working problems until you get 4 out of 5 correct.

Way to Go!

You’ve finished reviewing the notes for Adding and Subtracting Polynomials.

Proceed to Module 9 Topic 1 Mastery Assignment.