Unit Test (Unit Test Review)

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What is the product? (9t - 4) (-9t - 4)

B. -81t^2 + 16

What is the difference of the two polynomials? (7y2 + 6xy) - (-2xy + 3)

7y^2 + 8xy - 3

Consider the division of 3b2+9b+4 by 3b. What is the value of X?

A. 3

The area of a rectangle is found by multiplying the base times the height. A rectangle with an area represented by 12x2 + 6x - 8 has a height of 4x. What is the base of the rectangle?

A. 3x + 3/2 - 2/x

What is the product? (5r − 4)(r2 − 6r + 4)

A. 5r^3 − 34r^2 + 44r − 16

The volume of a rectangular prism can be found by multiplying the base area, B, times the height. If the volume of the prism is represented by 15x2 + x + 2 and the height is x2, which expression represents B, the area of the base?

C. 15 + 1/x + 2/x^2

What is the product? (x + 3) (2x - 1)

C. 2x^2 + 5x - 3

Which is equivalent to (-2m + 5n)^2, and what type of special product is it?

C. 4m^2 - 20mn + 25n^2; a perfect square trinomial

What is the quotient? x + 5 )4x2 + 14x − 9

C. 4x − 6 + 21/x + 5

What is the polynomial 3y2 + (y + 7)2 - 15 after it has been fully simplified and written in standard form?

C. 4y^2 + 14y + 34

Mrs. Ishimitsu is installing a rubber bumper around the edge of her coffee table. The dimensions of the rectangular table are (2x2 - 16) feet and (-x2 + 4x + 1) feet. Which expression represents the total perimeter of the table, and if x = 3, what is the length of the entire rubber bumper?

D. 2x2 + 8x - 30; 12 feet

Profit is the difference between revenue and cost. The revenue, in dollars, of a company that makes skateboards can be modeled by the polynomial 2x3 + 30x - 130. The cost, in dollars, of producing the skateboards can be modeled by 2x3 - 3x - 520. The variable x represents the number of skateboards sold.

D. 33x + 390

Armando used algebra tiles to represent the product 3x (2x - 1) Which is true regarding Armando's use of algebra tiles?

D. Some of the products do not show the correct powers of x.

Which is true about the completely simplified difference of the polynomials 6x6 − x3y4 − 5xy5 and 4x5y + 2x3y4 + 5xy5?

D. The difference has 4 terms and a degree of 7.

The polynomial 8x2 - 8x + 2 - 5 + x is simplified to 8x2 - gx - h. What are the value of g and h?

D. g = 7 and h = 3


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