Name:    Chapter 7 Post Test

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

1.

Determine whether the expression is a rational expression. If not, explain why.
 a. not rational because the denominator is not a polynomial b. not rational because the numerator is not a polynomial c. rational d. not rational because both the numerator and denominator are a polynomial e. not rational because both the numerator and denominator are not a polynomial

2.

Find the domain of the rational expression below.

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

3.

Find the missing factor for the expression below.

 a. b. c. d. e.

4.

Simplify the rational expression below.

 a. b. c. d. e.

5.

Simplify the rational expression below.

 a. b. c. d. e.

6.

Simplify the rational expression below.

 a. b. c. d. e.

7.

Simplify the expression below.

 a. b. c. d. e.

8.

Simplify the expression below.

 a. b. c. d. e.

9.

Find the reciprocal of the expression below.

 a. b. c. d. e.

10.

Divide and simplify the expression below.

 a. b. c. d. e.

11.

Divide and simplify the expression below.

 a. b. c. d. e.

12.

Perform the indicated operations and simplify.

 a. b. c. d. e.

13.

The base and height of a triangle are given by and respectively. Assuming x is positive, find the correct expression for the area A of the triangle in terms of x.
 a. b. c. d. e.

14.

Simplify the expression below.

 a. b. c. d. e.

15.

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.

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.

A small plane has a speed of   miles per hour in still air. The plane travels a distance of miles with a tail wind in the same time it takes to travel   miles into a head wind. In both cases, the wind has the same speed. Find the speed of the wind. Use a diagram and a verbal model to help solve the problem.
 a. b. c. d. e.