Adding and Subtracting Polynomials with Distributive

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

• 9x -3

• -9x-7

• 9x+7

• x+7

Simplify the expression.
(4a³ - 8a - 4a²) + (7a³ - 7 - 6a)

• 11a³ - 4a² - 14a - 7 

• 5a³ - 4a² - 14a - 7 

• 5a³ - 4a² - 20a - 7 

• 5a³ - 9a² - 20a - 7

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

• 2x² + 3x +1

• -2x² - 11x -4

• 2x² + 5x -7

• -2x² + 11x -4

(x³-x²+4) - (3x³-2x²+3)

• -2x³-3x²+7

• -2x³+x²+1

• 2x³-3x³-1

• 4x³-3x²+7

• 3x³+5x²+3x+15

• 3x³+6x²+3x+16

• 3x³+6x²+3x+15

• 2x³+5x²+2x+16

Add or Subtract to Simplify:

(4x²+ x) - (x² -2x)

• 3x² - x

• 4x² + 2x

• 3x² + 3x

• 3x² + 2x

One difference between adding and subtracting polynomials is...

• Using the associative property

• Using the distributive property

• Using the commutative property

• Nothing. The process is the same

The total area of the playground, the larger rectangle, is 
16x² − 5x + 2. The area of the play area, the smaller rectangle, is 10x² + 3x − 1. Write an expression to represent the area of the sidewalk.

• 6x² − 8x + 3

• 16x² − 8x + 3

• 16x² − 2x + 1

Darnell and Stephanie work for competing refreshment stand companies. Darian's profit can be modeled using the polynomial 2c² - 7c - 200, where c is the number of items sold. Stephanie's profit can be modeled with the polynomial c² + 8c - 100. Write a polynomial to represent the difference between their profits.

• c² -15c - 100

• 3c² -c - 300

• c² +15c + 300

• 3c² -15c - 100

• 3x³ +8x

• x³+3x² +8x

• 2x² +8x

• x³-3x³ +8x²