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

Add the polynomials: 

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

600

Add the polynomials

(-x + x³ + 2x²) + (-2x³ + 4x⁵ + 2x²)

4x⁵ - x³ + 4x² - x

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 Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

600

Subtract the following polynomials

(3 - 6x⁵ - 8x⁴) - (-6x⁴ - 3x - 8x⁵)

2x⁵ - 2x⁴ + 3x + 3

Perimeter & Area

100

Find the perimeter of a square whose side lengths are 1.75x

7x units

200

Find the area of a square with the side lengths of 4(x+4)

16x +64 units²

300

Find the perimeter of a rectangle that has a width of x + 5x and a length of 8x + 4.

P = 28x + 8 units

400

Find the area of a rectangle that has a width of 3x + 12 and a length of 5x + 20.

15x² + 120x + 240

500

Determine the area & perimeter of a rectangle whose length is 3x+1 and width is 2x

P = 10x + 2 units

A = 6x² + 2x units²

600

Find the perimeter and area of a square whose side lengths are 2x + 7.

P = 8x + 28 units

A = 4x² + 28x + 49 units²

Multiplying Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

(x - 4)(2x² + 3x + 6)

2x^3-5x^2-6x-24

300

Multiply the Polynomials:

−x² (−8x² − 6x − x² )

9x⁴ + 6x³

400

Multiply the Polynomials:

(x-2)(x+6)

x²+4x-12

500

Multiply the Polynomials:

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

15x²-21x-18

600

Multiply the following polynomials

(3r+ 5)²

9r² + 30r + 25

Exponents

100

2

Constant Monomial

200

What is 2⁰

1

300

Name the polynomial

3x^2+2x+1

Quadratic Trinomial

400

Name the following polynomial

(5)^3

Constant Monomial

500

Evaluate the expression: 

(5t)^2-15x^6+5x^12+5,678

12th degree 4 term polynomial

600

Evaluate the expression: 

4m + 1/2m^3-m^2

Cubic Trinomial