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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.
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