Adding and Subtracting Polynomials - Quiz

Kat is painting the edge of a triangular stage prop with reflective orange paint. The lengths of the edges of the triangle are (3x - 4) feet, (x2 - 1) feet, and (2x2 - 15) feet. What is the perimeter of the triangle if x = 4? 16 feet 40 feet 76 feet 80 feet

40 feet

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures televisions can be modeled by the polynomial 3x2 + 180x. The cost, in dollars, of producing the televisions can be modeled by 3x2 - 160x + 300. The variable x is the number of televisions sold. If 150 televisions are sold, what is the profit? $2,700 $6,000 $50,700 $51,300

$50,700

Pablo folds a straw into a triangle with side lengths of 4x2−3 inches, 4x2−2 inches, and 4x2−1 inches. Which expression can be used to find the perimeter of the triangle, and what is the perimeter when x = 1.5? A. 12x2 −6; 21 inches B. 12x2; 27 inches C. 12x2 −6; 30 inches D. 12x2; 36 inches

A. 12x2 - 6; 21 inches

The sum of two polynomials is 8d5 - 3c3d2 + 5c2d3 - 4cd4 + 9. If one addend is 2d5 - c3d2 + 8cd4 + 1, what is the other addend? A. 6d5 - 2c3d2 + 5c2d3 - 12cd4 + 8 B. 6d5 - 4c3d2 + 3c2d3 - 4cd4 + 8 C. 6d5 - 4c3d2 + 5c2d3 - 12cd4 + 8 D. 6d5 - 2c3d2 - 3c2d3 - 4cd4 + 8

A. 6d5 - 2c3d2 + 5c2d3 - 12cd4 + 8

What is the difference of the two polynomials? (9x2 + 8x) - (2x2 + 3x) A. 7x2 + 5x B. 7x2 + 11x C. 11x2 + 5x D. 11x2 + 11x

A. 7x2 + 5x

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that manufactures cell phones can be modeled by the polynomial 2x2 + 55x + 10. The cost, in dollars, of producing the cell phones can be modeled by 2x2 - 15x - 40. The variable x represents the number of cell phones sold. What expression represents the profit, and what is the profit if 240 cell phones are sold? A. 40x - 30; $2,400 B. 40x - 30; $9,570 C. 70x + 50; $16, 850 D. 70x + 50; $28,800

C. 70x + 50; $16, 850

Margot is sewing a ribbon on a seam along the perimeter of a square pillow. The side length of the pillow is 2x2+1 inches. She plans to make a similar pillow, including the ribbon, whose side length is 4x−7 inches. What expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x = 3.5? A. 2x2+4x−6; 22.0 inches B. 2x2+4x−6; 32.5 inches C. 4(2x2+4x−6;) 88.0 inches D. 4(2x2+4x−6;) 130.0 inches

D. 4(2x2+4x−6;) 130.0 inches

What is the additive inverse of the polynomial -9xy2 + 6x2y - 5x3? A. -9xy2 - 6x2y + 5x3 B. -9xy2 - 6x2y - 5x3 C. 9xy2 + 6x2y + 5x3 D. 9xy2 - 6x2y + 5x3

D. 9xy2 - 6x2y + 5x3

What is true about the completely simplified sum of the polynomials 3x2y2 − 2xy5 and −3x2y2 + 3x4y? A. The sum is a trinomial with a degree of 5. B. The sum is a trinomial with a degree of 6. C. The sum is a binomial with a degree of 5. D. The sum is a binomial with a degree of 6.

D. The sum is a binomial with a degree of 6.

What is true about the sum of the two polynomials? 6s2t - 2st2 4s2t - 3st2 The sum is a binomial with a degree of 2. The sum is a binomial with a degree of 3. The sum is a trinomial with a degree of 2. The sum is a trinomial with a degree of 3.

The sum is a binomial with a degree of 3.