Grade 9 Math Polynomial Review

Adding Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Add the polynomials:

(-3a - 2) + (7a + 5)

4a + 3

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³) 

t³ +3t² +7t -3

500

Find the perimeter of a square whose side length is 5x + 5

20x + 20 units

Subtracting Polynomials

100

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Subtract the following polynomials

(3 - 6x⁵ - 8x⁴) - (-6x⁴ - 3x - 8x⁵)

2x⁵ - 2x⁴ + 3x + 3

Random Trivia

100

Who was the commanding general of the Union during the civil war? 

Ulysses S. Grant

200

Which ocean borders California?

Pacific 

300

What is the largest state in America (USA)?

Alaska 

400

What country won the 2022 FIFA World Cup?

Argentina

500

What was remarkable about the naval battle between the Monitor and the Merrimack?

The first engagement between two ironclad warships

Multiplying Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

3(2x + 4x² - 5)

12x² + 6x - 15

300

Multiply the following polynomials

(3r+ 5)²

9r² + 30r + 25

400

Multiply the Polynomials:

(x - 1)(−8x² − 6x − 12 )

-8x³ + 2x² - 6x + 12

500

Multiply the Polynomials:

-2(3x-6)(5x+3)

-30x² + 42x +36

Classifying polynomials

100

State the degree of this polynomial:

3x⁷- 12x⁹

9th degree

200

Simplify 

2(-6)⁰

2

300

Write the following in standard form:

-8 - 11x + 3x⁴ + 12x

3x⁴ + x - 8

400

What is the lead coefficient of the polynomial? 

2x⁹x^-6 - 5x⁵ + 3

-5

500

What is the degree of the polynomial?

zero