Name:    Chapter 9 Post Test

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

1.

Find the principal square root of , if possible. Do not use a calculator.
 a. b. c. d. e. no real roots

2.

Find the principal root of  .
 a. b. c. d. e. no real roots

3.

Classify the number as rational or irrational.
 a. irrational b. rational

4.

Evaluate the expression when , and . Round your answer to two decimal places.
 a. b. c. 11.86 d. e. no real solutions

5.

Complete the table. Round your answer to two decimal places.

 a. b. c. d. e.

6.

Write as a single radical.
 a. b. c. d. e.

7.

Simplify the radical , if possible.
 a. b. c. 3 d. e.

8.

Simplify the radical . Use absolute value signs, if appropriate.
 a. b. c. d. e.

9.

Simplify the radical .
 a. b. c. d. e.

10.

Write as a single radical and simplify.
 a. b. c. x d. e.

11.

The radius r of the base of a cone is ft, and the height h of the cone is ft as shown in the figure below. Find the lateral surface area of the cone. Round your answer to one decimal place.

 a. square feet b. square feet c. square feet d. square feet e. square feet

12.

The formula gives the time t (in seconds) for a pendulum of length L (in feet) to go through one complete cycle, both forward and back (its period). Find the period of the pendulum clock if the length is feet. Round your answer to two decimal places.
 a. b. second c. second d. second e. second

13.

Simplify the expression .
 a. b. c. d. e.

14.

Find the product of and its conjugate.
 a. b. c. d. e.

15.

Enter the number in your calculator and repeatedly take the square root. What number does the display appear to be approaching?
 a. b. c. d. e. The display is not approaching a number.

16.

Solve , if possible.
 a. b. c. d. e. no solution

17.

Solve the equation .
 a. b. c. d. e.

18.

Solve , if possible.
 a. b. c. d. e. no solution

19.

Find the distance between and . Round your answer to two decimal places.
 a. b. c. d. e.

20.

The time t, in seconds, for a free falling object to fall d feet is given by . If a construction worker drops a nail from a building and observes it strike a water puddle after seconds, what is the height from which the nail was dropped?
 a. feet b. feet c. feet d. feet e. feet