Multiplying Polynomials

Monomial x Polynomial

100

5x (2x^2 + 5x +8)

What is 10x^3 + 25x^2 + 40x

200

-2x (7x^2 - 2x - 2)

What is -14x^3 + 4x^2 + 4x

300

2x (y^2 + 2x -2)

What is 2xy^2 + 4x^2 - 4x

400

-4x (-2y^2 - x + 1)

What is 8xy^2 + 4x^2 -4x

500

A rectangular computer screen has a length that is 8 in. less than 2 times it width. What is the area of the computer screen? (Hint: Let the width = w)

What is 4w - 16 Problem: Width = 2; length = 2w -8

Binomial x Binomial

100

(x + 2)(x + 8)

What is x^2 + 10x +16

200

(6x - 1)(x + 2)

What is 6x^2 + 11x -2

300

(3x + 4)^2

What is 9x^2 + 24x + 16

400

(5x^2 - 6)^2

What is 25x^2 - 60x + 36

500

Use the special products properties: a. (8x - 2)(8x + 2) b. (3x - 2)^2 c. (4x + 8)^2

What is a. 64x^2 - 4 b. 9x^2 -12x + 4 c. 16x^2 + 64x + 64

Mult. Polynomials

100

(x + 1)(7x^2 +3x + 4)

What is 7x^3 + 10x^2 + 7x + 4

200

(2x + 7) (5x^2 + 11x - 8)

What is 10x^3 + 57x^2 + 61x - 56

300

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

What is 2x^3 + 3x^2 - 3x + 18

400

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

What is -17x^3 + 21x^2 6x^2 + 3x^3 +15x^2 - 20x^3

500

(6x^2 -6x + 3)(7x^2 - 7x -1)

What is 42x^4 - 84x^3 + 57x^2 - 15x - 3

Review(Prev. Tests)

100

2y - 3x = 12      2y - x = 8

What is (-2,3)

200

(9x^5 - 10x^4 + x^2 + 8x + 2) + (-2x^5 - 2x^4 - 3x^3 + 5x^2 + 4x + 2)

What is 7x^5 - 12x^4 - 3x^3 + 6x^2 + 12x + 4

300

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

What is 6x^3 - x^2 + 12x + 9

400

(m^5)^(-3) * (m^4n^5)^4

What is mn^20 Simplifiy: m^(-15) * m^16 * n^20

500

x^4 * y^(-8) * z^(-2)      divided by     x^(-1) * y^(6) * z^(-10)

What is x^5 * z^8     divided by     y^14

Open Response

100

The Cutting Edge frame shop makes a mat by cutting out the inside of a rectangular board. Write an expression to represent the area of the original board.

What is 2x^2 + 13x - 24

200

Write an expression to represent the area of the rectangle cut out to make the mat.

What is 2x^2+x-28

300

Write an expression to represent the area of the mat.

What is 12x + 4

400

Find the length and width of the original board if the area of the mat is 184 sq. in.

What is 27 in. x 23 in. Problem: 12x + 4 = 23; x = 15 Substitute - Length: 2(15)-3 = 27; Width: 15 + 3 = 23

500

The length of an aquarium is 1 ft more than 3 times its height h. The width of the aquarium is 3 ft less than 2 times its height. What is the volume of the aquarium? (V=lwh)

What is 6h^3 - 7h^2 - 3h Problem work: h(3h+1)(2h-3)