Adding & Subtracting Polynomials LESSON

Presentation

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Mathematics

•

9th Grade

•

Practice Problem

•

Medium

•

CCSS

HSA.APR.A.1, 7.EE.A.1

Standards-aligned

Chistopher Rochford

Used 75+ times

FREE Resource

6 Slides • 13 Questions

Adding and Subtracting Polynomials

Let's Talk Terms!

5 Quick Questions

Multiple Choice

What type of polynomial is this?

monomial

binomial

trinomial

polynomial

Multiple Choice

2) Degree of

$2x^2+50$ is _____

Fill in the Blanks

Write this polynomial in standard form

$x^5+3x^7+x+4$

Type answer...

Multiple Choice

What is the leading coefficient for this polynomial?

$x^5+3x^7+x+4$

Multiple Choice

Combine the like terms in the expression: 5y+2+3y+6

There are no like terms

8y+2+6

53y+12

8y+8

Adding Polynomials

(Finding the sum)

Method 1

Drop the parentheses.
Combine like terms

*Start with the highest degree*

Adding Polynomials

(Finding the sum)

Method 2

Place each parentheses on top of each other with like terms under like terms.

Multiple Choice

Find the sum

9n³ + 4n

7n³+ 6

-3n³+ 2

7n⁶ + 6

Multiple Choice

Find the sum

(2x + 5y) + (3x - 2y)

3x + 5y

5x + 3y

5x + 7y

7xy + 1xy

Multiple Choice

Find the sum

(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

11a³ - 4a² - 14a - 7

5a³ - 4a² - 14a - 7

5a³ - 4a² - 20a - 7

5a³ - 9a² - 20a - 7

Subtracting Polynomials

Finding the difference

Method 1

Distribute the negative sign to each term in the 2nd set of parenthesis.
Add/combine like terms like before!

*Start with the highest degree*

Subtracting Polynomials

Finding the difference

Method 2

Reverse the sign of each term in the 2nd parentheses.
Add/combine like terms like before!

Multiple Choice

Find the difference

(2x + 5y) - (3x - 2y)

-x + 3y

-x + 7y

5x + 7y

7xy + 1xy

Multiple Choice

Find the difference

(4x²+ x) - (x²+ 2x)

3x²- x

4x²+ 2x

3x² + 3x

3x² + 2x

Multiple Choice

Find the difference

(5x + x² - 4) - (4x - x² + 6)

2x² + x + 2

x + 2

2x² + x - 10

x - 10

Multiple Choice

What is the perimeter of the triangle shown?

9r²+r-5

9r⁴+r²-4

9r²-r+4

9r²+r-4

Poll

After today's review, how would you rate your understanding of adding and subtracting polynomials?

I can explain how to do this. I can teach others. I am an expert.

I can do this independently. I have a good understanding.

I can do this with help or an example. There are parts I still do not understand

I do not understand yet, but am starting to learn. I need help learning this.

Adding and Subtracting Polynomials

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