What are like terms? Terms that have....

the same variables and exponents

To add or subtract polynomials,

you add or subtract the coefficients of like terms.

you multiply each term of the first polynomial by each term of the second polynomial.

To multiply two polynomials,

you multiply each term of the first polynomial by each term of the second polynomial.

you add or subtract the coefficients of like terms.

What are the dimensions (length and width) of this rectangle?

( 2 x ) b y ( x − 3 ) \left(2x\right)\ by\ \left(x-3\right) ( 2 x ) b y ( x − 3 )

( 2 x ) b y ( x + 3 ) \left(2x\right)by\left(x+3\right) ( 2 x ) b y ( x + 3 )

( 2 x ) b y ( − x − 3 ) \left(2x\right)\ by\ \left(-x-3\right) ( 2 x ) b y ( − x − 3 )

( 2 x ) b y ( − x + 3 ) \left(2x\right)\ by\ \left(-x+3\right) ( 2 x ) b y ( − x + 3 )

Bonus: What are the dimensions (length and width) of this rectangle?

( 2 x + 3 y ) b y ( x + 1 ) \left(2x+3y\right)\ by\ \left(x+1\right) ( 2 x + 3 y ) b y ( x + 1 )

( 2 x + 3 y ) b y ( x − 1 ) \left(2x+3y\right)\ by\ \left(x-1\right) ( 2 x + 3 y ) b y ( x − 1 )

What is the area of this rectangle?

6 x y − 6 y 6xy-6y 6 x y − 6 y

6 x y − 6 x 6xy-6x 6 x y − 6 x

Order of Operations with Polynomials

Authored by Prudence YEUNG

Mathematics

8th - 9th Grade

CCSS covered

Used 27+ times

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46 questions

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MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Find the difference.
(-9 + 7x + x²) - (-4x - 5 + 3x²)

x² + 6x + 8

2x²+ 5x - 7

-x²-6x + 8

-2x² + 11x - 4

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Simplify the expression.
-3x²( 7x²- x + 4)

-21x⁴ + 3x³ -12x²

7x² - x + 4 (-3x²)

21x⁴+ 3x³+ 12x²

-12x²+ 3x³-21x⁴

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

20 sec • 1 pt

Simplify: (4 + 3x² + 8x³) + (-7x³ + 12x⁵ + 6x²)

12x⁵+ x³ + 9x² + 4

12x⁵ - x³ + 9x² + 4

12x⁵ + x³ + 18x² + 4

12x⁵ + x³ + 3x² + 4

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

10 sec • 1 pt

How do we write the following polynomial in standard form: 3x³ + 6x² - x - 2x⁵ + 4x⁴

-2x⁵+ 4x⁴+ 3x³ + 6x²- x

10x¹⁵

-x + 6x² + 3x³ + 4x⁴ - 2x⁵

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Combine like terms to simplify:
(5x + 2) + (4x + 5)

9x -7

-9x-11

9x+7

x+7

Tags

CCSS.7.EE.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

-8n² - 8n + 3

-7n² - 8n + 3

-6n²- 8n + 3

-7n² - 4n + 3

Tags

CCSS.HSA.APR.A.1

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Simplify the expression
-6x - 5(10x + 3)

-56x - 15

-56x+15

44x+15

-44x-15

Tags

CCSS.6.EE.A.3

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Order of Operations with Polynomials

Find the difference.
(-9 + 7x + x²) - (-4x - 5 + 3x²)

Simplify the expression.
-3x²( 7x²- x + 4)

Simplify: (4 + 3x² + 8x³) + (-7x³ + 12x⁵ + 6x²)

How do we write the following polynomial in standard form: 3x³ + 6x² - x - 2x⁵ + 4x⁴

Combine like terms to simplify:
(5x + 2) + (4x + 5)

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

Simplify the expression
-6x - 5(10x + 3)

Simplify:
2x ( -2x -3)

What is the degree classification of this polynomial?
x²+4x-8

What is the term classification of the following polynomial?
x³-7x²+3

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Order of Operations with Polynomials

Find the difference. (-9 + 7x + x2) - (-4x - 5 + 3x2)

Simplify the expression.-3x2( 7x2 - x + 4)

Simplify: (4 + 3x2 + 8x3) + (-7x3 + 12x5 + 6x2)

How do we write the following polynomial in standard form: 3x3 + 6x2 - x - 2x5 + 4x4

Combine like terms to simplify: (5x + 2) + (4x + 5)

Add or Subtract to Simplify:(4n4 - 8n + 4) - (8n2 + 4n4 + 1)

Simplify the expression-6x - 5(10x + 3)

Simplify:2x ( -2x -3)

What is the degree classification of this polynomial?x²+4x-8

What is the term classification of the following polynomial?x³-7x²+3

Access all questions and much more by creating a free account

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Mathematics

Find the difference.
(-9 + 7x + x²) - (-4x - 5 + 3x²)

Simplify the expression.
-3x²( 7x²- x + 4)

Simplify: (4 + 3x² + 8x³) + (-7x³ + 12x⁵ + 6x²)

How do we write the following polynomial in standard form: 3x³ + 6x² - x - 2x⁵ + 4x⁴

Combine like terms to simplify:
(5x + 2) + (4x + 5)

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

Simplify the expression
-6x - 5(10x + 3)

Simplify:
2x ( -2x -3)

What is the degree classification of this polynomial?
x²+4x-8

What is the term classification of the following polynomial?
x³-7x²+3