Regents Exam Questions A.APR.A.1: Operations with Polynomials3bPage 1

Name: ______

1What is the product of and ?

2What is the product of and?

3What is the product of and ?

4What is the product of and ?

5The expression is equivalent to

6The expression is equivalent to

7The expression is equivalent to

8Which trinomial is equivalent to ?

9What is the product of and ?

10What is the product of and ?

11When is subtracted from , the result is

12Fred is given a rectangular piece of paper. If the length of Fred's piece of paper is represented by and the width is represented by , then the paper has a total area represented by

13Chad had a garden that was in the shape of a rectangle. Its length was twice its width. He decided to make a new garden that was 2 feet longer and 2 feet wider than his first garden. If x represents the original width of the garden, which expression represents the difference between the area of his new garden and the area of the original garden?

14The length, width, and height of a rectangular box are represented by , , and , respectively. When the volume is expressed as a polynomial in standard form, what is the coefficient of the 2nd term?

15The length of a rectangle is represented by , and the width is represented by . Express the perimeter of the rectangle as a trinomial. Express the area of the rectangle as a trinomial.

16Express the product of and in standard form.

17Write the expression as a polynomial in standard form.

18What is the product of and ?

19What is the product of and ?

20The expression is equivalent to

21If the difference is multiplied by , what is the result, written in standard form?

22Express as a trinomial.

23Express the product of and as a trinomial.

Regents Exam Questions A.APR.A.1: Operations with Polynomials 3b

1ANS:

REF:010819a

2ANS:

REF:060807ia

3ANS:

REF:060708a

4ANS:

REF:061210ia

5ANS:

REF:060015a

6ANS:

REF:010430a

7ANS:

REF:088917siii

8ANS:

REF:081524ai

9ANS:

REF:061609a2

10ANS:

REF:081612ai

11ANS:

REF:011610ai

12ANS:

REF:011510ai

13ANS:

The area of the original garden is The area of the new garden is .

REF:010202b

14ANS:

REF:081824ai

15ANS:

REF:061538ia

16ANS:

REF:081428ai

17ANS:

REF:081731ai

18ANS:

The binomials are conjugates, so use FL.

REF:011206a2

19ANS:

The binomials are conjugates, so use FL.

REF:061201a2

20ANS:

REF:011524a2

21ANS:

REF:061528ai

22ANS:

.

REF:081034a2

23ANS:

.

REF:061128a2