Name:    Chapter 5 Post Test

Multiple Choice
Identify the choice that best completes the statement or answers the question.

1.

Find the value of .
 a. b. c. d. e.

2.

Replace (?) by an appropriate exponent that makes the statement true.

 a. b. c. d. e.

3.

Use rules of exponents to simplify the expression using only positive exponents. (Assume that )
 a. b. c. d. e.

4.

Write in scientific notation.
 a. b. c. d. e.

5.

Write in decimal notation.
 a. b. c. d. e.

6.

Determine which of the following expressions are polynomials.

 I II III
 a. expression III b. expressions I and III c. expressions II and III d. expression I e. expression II

7.

Find the sum .
 a. b. c. d. e.

8.

Find the difference .
 a. b. c. d. e.

9.

Find the difference .
 a. b. c. d. e.

10.

Find the difference .
 a. b. c. d. 0 e. –6

11.

Perform the indicated operations and simplify.

 a. b. c. d. e.

12.

Find an expression for the area of the figure. Assume all angles are right angles.

 6x 15x              7.5x 3x

 a. b. c. d. e.

13.

Let F represent the number of female babies born in a certain city and M the number of male babies born in the same city. For the years 2000 to 2006 the number of females born in this city each year can be modeled by and the number of males born in the city can be modeled by . The variable t represents the number of years since 2000, that is, . Add the polynomials to find a model for the total number of babies born in this city for the years 2000 to 2006.
 a. b. c. d. e.

14.

Multiply:
 a. b. c. d. e.

15.

Multiply the polynomials and simplify.

 a. b. c. d. e.

16.

Use a special product pattern to find the product .
 a. b. c. d. e.

17.

Perform the multiplication and simplify.
 a. b. c. d. e.

18.

Divide:
 a. b. c. d. e.

19.

Simplify the expression . Assume all denominators are nonzero.
 a. b. c. d. e.

20.

A child has a large bag of candy when his older brother arrives to divide the candy. The older brother makes two piles and each time he hands out the candy he places 6 pieces on his pile while he places 5 pieces on his younger brother's pile. He does this t times. Before the older brother had arrived, the younger brother had put 2 pieces of candy in his pocket. After the candy is handed out, the younger brother and older brother have and pieces of candy, respectively, so that the ratio of the number of pieces of candy the older brother has to that of his brother is given by . Complete the table to determine what happens to this ratio as t increases.

 5 15 25 35 45
 a. The ratio appears to approach 0.8 as t increases. b. The ratio appears to approach 1.2 as t increases. c. The ratio appears to approach 1 as t increases. d. The ratio appears to approach 2.4 as t increases. e. The ratio decreases as t increases.