Name:    Chapter 7 Pre Test

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

1.

Find the domain of the rational expression below.

 a. all real values of z such that b. all real values of z such that c. all real values of z such that d. all real values of z such that e. all real numbers

2.

Find the missing factor for the expression below.

 a. b. c. d. e.

3.

The formula below can be used to calculate the value V of an automobile t years after it was purchased for the original price P.

Use the formula to calculate the value V of an automobile sixteen years after it is purchased for an original price of . Round your answer to the nearest hundred dollars.
 a. b. c. d. e.

4.

Simplify the expression below.

 a. b. c. d. e.

5.

Simplify the expression below.

 a. b. c. d. e.

6.

Simplify the expression below.

 a. b. c. d. e.

7.

Find the least common denominator of the expressions and and rewrite one or both of the fractions using the least common denominator.
 a. b. c. d. e.

8.

Simplify the expression below.

 a. b. c. d. e.

9.

Simplify the expression below.

 a. b. c. d. e.

10.

A boater travels miles upstream (against the current) and miles downstream (with the current). The speed of the current is miles per hour. An expression for the time (in hours) it takes the boater to travel upstream is  . An expression for the time (in hours) it takes the boater to travel downstream is . Write and simplify an expression for the total travel time (in hours) of the boater. (In the following figure, assume   miles and miles per hour.)

 a. b. c. d. e.

11.

A rectangle has a length of feet and a width of feet. Write a simplified expression that represents the perimeter of the rectangle.
 a. b. c. d. e.

12.

Simplify the expression below.

 a. b. c. d. e.

13.

Simplify the expression below.

 a. b. c. d. e.

14.

Simplify the expression below.

 a. b. c. d. e.

15.

Simplify the expression below.

 a. b. c. d. e.

16.

Simplify the expression below.

 a. b. c. d. e.

17.

Simplify the expression below.

 a. b. c. d. e.

18.

Simplify the expression below.

 a. b. c. d. e.

19.

Solve the rational equation.

 a. b. c. d. e.

20.

Graph the equation and identify any x-intercepts of the graph.

 a. d. b. e. c.