Unit Test Answers

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

Which expression is equivalent to ?

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

The area of a square can be represented by the expression x10. Which monomial represents a side of the square?

The diagram represents the area of a rectangle as 9x2 + 24x + 16 square units.

What is the greatest common factor of 4xy2 and 20x2y4?

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

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?

Sari is factoring the polynomial 2x2+5x+3. If one factor is (x+1), what is the other factor?

Mandisa draws a rectangle to represent the area of her yard. The area can be represented by 10x2 – 13x – 14.

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?

Arpitha factors out the greatest common factor, 9n, from the terms of the polynomial shown.162m3n4 + 45n= 9n(_______ + 5)

What is the factored form of the polynomial?x2 − 15x + 36

What is the greatest common factor of 8m, 36m3, and 12?

Doug bought a new car for $25,000. He estimates his car will depreciate, or lose value, at a rate of 20% per year. The value of his car is modeled by the equation V = P(1 – r)t, where V is the value of the car, P is the price he paid, r is the annual rate of depreciation, and t is the number of years he has owned the car. According to the model, what will be the approximate value of his car after years?