6.1 - 6.2 Review

Adding Polynomials

100

(x - 4) + (3x + 6)

4x + 2 

200

(3x² + 4x - 2) + (6x² - 6x + 8) 

9x² - 2x + 6  

300

(2x + 3x² + 7) + (5x² - 8) 

8x² + 2x - 1

400

(-5x + 6 - x²) + (x³ + 2x + 4x²) 

x³ + 3x² - 3x + 6 

500

(9x² - 10 - x⁴) + (3x³ - 6x + 4x²)

-x⁴ + 3x³ + 13x² - 6x - 10

Subtracting Polynomials

100

(7x−3)−(2x+5)

5x−8

200

(4x² + 6x) - (x² - 2x) 

3x² + 8x

300

(5x² - 3x + 8) - (2x² + x - 4) 

3x³ - 4x + 12 

400

(6x³ - 2x + 1) - (3x² + x - 5)

6x³ - 3x² - 3x + 6 

500

(9 - 2x + x³) - (3x + 1 - 5x²) 

x³ + 5x² - 5x + 8 

Multiplying Polynomials

100

3(x² + 4x - 2) 

3x² + 12x - 6 

200

6x³(5x² - 7x + 2)

30x⁵ - 42x⁴ + 12x³

300

(x + 4)(6x - 10)

6x² + 14x - 40 

400

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

6x² + 8x - 30 

500

4x(x + 2) - 5(3x - 1)

4x² - 7x + 5 

Vocab

100

Identify the constant in the following polynomial: 

3x² + 2x + 7 

7 

200

Identify the leading coefficient in the following polynomial: 

 2x + 7 + 3x²

3

300

Write the following polynomial in standard form: 

8x + 4x² - 7 

4x² + 8x - 7 

400

Write the following polynomial in standard form: 

5 + 2x² - 8x

2x² - 8x + 5 

500

9 - 3x 

a) Write in standard form 

b) Constant

c) Leading Coefficient

a) -3x + 9 

b) 9 

c) -3

Word Problems / Modeling

100

Simplify: 

x³ + x³

2x³

200

Alex has (5x + 4) dollars, Jordan has (2x² + 3x − 1) dollars, and Maya has (10 − x) dollars to spend at the school carnival. Write a simplified polynomial expression representing their total amount of money. Your final answer should be written in standard form.

2x² + 7x + 13 

300

Find the perimeter of a triangle with the following side lengths: 

1) x² - 6x + 2 

2) 3x  +  4 

3) 2x

x² - x + 6 

400

Find the perimeter of a rectangle with the following side lengths: 

Width: 5x³

Height: 3x² - 6x + 10

10x³ + 6x² -12x + 20 

500

Find the area of a rectangle with the following side lengths: 

Width: 5x³

Height: 3x² - 6x + 10

15x⁵ - 30x⁴ + 50x³