Adding & Subtracting Polynomials

(-3 + 3n^5 + 6n^3) + (7n^5 + 5n^3 - 3)

• A) 15n^8

• B) 10n^5 + 11n^3 - 6

• C) 10 + 11n^5 - 6n^3

• D) 4n^5 + 8n^3 + 3

2) (8x^8 - 9x^3 + 3x^2 + 9) + (4x^7 + 6x^3 - 2x)

• A) 8x^8 + 4x^7 + 3x^3 + 3x^2 - 2x + 9

• B) 12x^8 - 3x^3 + 3x^2 - 2x + 9

• C) 12x^8 - 15x^3 + 3x^2 - 2x + 9

• D) 8x^8 + 4x^7 - 3x^3 + 3x^2 - 2x + 9

3) (-7mn + 8mn^2 - 8m2n^2) + (10m^2n + 2m^2n^2 - 3mn)

• A) -4mn + 8mn^2 + 10m^2n - 6m^2n 2

• B) -10mn + 18m^2n - 6m^2n 2

• C) 2m^2n 2

• D) -6m^2n^2 + 10m^2n + 8mn^2 - 10mn

4) (7x^3y^3 + 8x^2y^2 - x^2y + xy^2 + 2x + 3) + (x^3y^3 - x^2y ^2 + x^2y + 2x - 6)

• A) 8x^3y^3 + 9x^2y^2 + x 2y + 4x - 3

• B) 8x^3y^3 + 8x^2y^2 + x^2y + 3

• C) 8x^3y^3 + 7x^2y^2 + xy^2 + 4x - 3

• D) 8x^3y^3 + 7x^2y^2 + 2xy^2 - 3

(12p^2 + 15p + 3) - (2p^2 + 17p - 2)

• A) 10p^2 + 2p - 5

• B) 10p^2 - 2p + 5

• C) 10p^2 - 2p + 1

• D) 10p^4 - 2p^2 + 5

(8a^5 + 10a^3) - (13a^5 - 7a^3)

• A) 21a^5 + 3a^3

• B) -5a^5 + 3a^3

• C) 12a^8

• D) -5a^5 + 17a^3

A company produces two sizes of a dog house, large and small. If L represents the number of large dog houses and S represents the number of small dog houses, then the polynomial 230L + 160S + 100 describes the revenue from the sale of the dog houses. The polynomial 170L + 130S + 555 describes the cost of producing the dog houses. Write an expression in simplest form for net profit from the sale of the dog houses.

• ) -60L - 30S + 455

• B) 400L + 290S + 655

• C) 60L + 30S - 455

• D) 40L + 32S - 450

) A company produces three sizes of a dog house, small, medium, and large. The small dog house sells for $80, the medium size for $110, and the large for $140. The small dog houses cost $50 each to make, medium $70 each, and large $79 each. Let s represent the number of small size dog houses, m represent the number of medium size dog houses and L represent represent the number of large size dog houses. Write an expression in simplest form for the net profit.

• A) 30s + 40m + 61L

• B) -30s - 40m - 61L

• C) -28s - 43m - 76L

• D) 28s + 43m + 76L

Subtract 2ab from −2ab.

• a. 4ab

• b. ab

• c. 2ab

• d. −4ab

Subtract the polynomials: (9 x - 6) - (- 5x + 7)

• 14x - 13

• 4x + 1

• 4x + 13

• -4x - 13