|
|
|
1.
|
Find the sum. (–7  – 8 rs) +
(–3  – rs + 2) + (–4 rs +
2) a. | –10 – 11rs + 4 | c. | –13 – 13rs – 7 | b. | –11 –
12rs + 4 | d. | –10 – 13rs +
4 |
|
|
|
2.
|
Subtract.  – 
|
|
|
3.
|
Carlita has a rectangular swimming pool in her back yard that has a length of 28
feet and a width of 14 feet. She wants to install a concrete walkway of width c around the
pool. Surrounding the walkway, she wants to have a wood deck that extends w feet on all sides.
Find an expression for the perimeter of the wood deck.
a. | 392 + 6c + 2w | c. | 84 + 8c +
8w | b. | 42 + 4c + 4w | d. | 72 + 8c + 8w |
|
|
|
4.
|
Multiply  .
|
|
|
5.
|
Which is the product  ?
|
|
|
6.
|
A rectangular garden has a length of 5z + 10 feet and a width of
3z feet. Which expression represents the area of the garden in square feet?
a. | 15z + 30 | c. | 20 + 27z | b. | 15
+ 10 | d. | 15
+ 30z |
|
|
|
7.
|
Find the product (d + 8)(d – 8).
a. | 2d2 – 64d | c. | d2 –
64 | b. | d2 – 16d – 64 | d. | d2 + 16d +
64 |
|
|
|
8.
|
Find the product  .
|
|
|
9.
|
Solve the equation. 
|
|
|
10.
|
Factor x2 + 18x + 80.
a. | (x + 8)(x + 10) | c. | (x + 1)(x +
80) | b. | (x + 18)(x + 80) | d. | (x + 5)(x +
16) |
|
|
|
11.
|
Factor  .
|
|
|
12.
|
Factor  .
|
|
|
13.
|
Determine whether  is a perfect square trinomial. If so, choose
the correct factorization. a. | yes;  | c. | yes;  | b. | yes;  | d. | no |
|
|
|
14.
|
Factor  by grouping.
|
|
|
15.
|
What is the complete factorization of  ?
|
|
|
16.
|
Completely factor  . a. |  | c. |  | b. |  | d. | cannot be
factored |
|
|
|
17.
|
Factor  .
|
|
|
18.
|
Write a third-degree polynomial function with 1 and 2 as its only zeros.
|
|
|
19.
|
a. Are there values
of a and b such that  ? Explain. ( Hint: Expand  and try to find values of a and b that satisfy the
equation.) b. Are there values of a and b such that
 ? Explain.
|
|
|
20.
|
How many binomials can  be factored into when it is
factored completely? ( Hint: 6561 is 3 raised to a power.)
|