Name:    Chapter 1 Pre Test

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

1.

Find the coordinates for the point that is eight units to the left of the y-axis and is seven units up from the x-axis.
 a. b. c. d. e.

2.

Find the distance between the two points and .
 a. 153 b. 48 c. 99 d. 51 e. 102

3.

Find the midpoint between the two points and .
 a. b. c. d. e.

4.

Create and complete a table to find the x and y coordinates of points that lie on the graph of the equation below. Plot at least 5 points along with the graph of the equation.

 a. d. b. e. c.

5.

Find the x- and y-intercepts of the graph of the equation .
 a. x-intercept: (49, 0)y-intercept: (0, 7) b. x-intercept: (–7, 0)y-intercept: (0, –49) c. x-intercept: (7, 0)y-intercept: (0, 49) d. x-intercept: (49, 0)y-intercept: (0, 49) e. x-intercept: (7, 0)y-intercept: (0, –7)

6.

Assume the graph has the indicated type of symmetry. Sketch the complete graph.

symmetric with respect to the origin
 a. d. b. e. c.

7.

Does the table describe a function?
 Input value –4 –2 0 2 4 Output value 7 7 7 7 7
 a. no b. yes

8.

Does the table describe a function?
 Input value 10 30 10 20 40 Output value 2001 2002 2003 2004 2005
 a. yes b. no

9.

Which equation does not represent y as a function of x?
 a. b. c. d. e.

10.

Find all real values of x such that f (x) = 0.
 a. b. c. d. e.

11.

 a. b. c. d. e.

12.

Use the graph of the function to find the domain and range of f.
 a. domain:   range: b. domain:   range: c. domain:   range: d. domain:   range: e. domain:   range:

13.

Find ( f + g)(x).

 a. ( f + g)(x) = b. ( f + g)(x) = c. ( f + g)(x) = d. ( f + g)(x) = e. ( f + g)(x) =

14.

Evaluate the indicated function for .
 a. b. c. d. e.

15.

Find .

 a. b. c. d. e.

16.

Find the inverse function of  f.
 a. b. c. d. e.

17.

Use the functions given by and to find the indicated value.
 a. undefined b. c. d. e.

18.

Assume that y is directly proportional to x. If and , determine a linear model that relates y and x.
 a. b. c. d. e.

19.

The sales tax on an item with a retail price of \$972 is \$77.76. Create a variational model that gives the retail price, y, in terms of the sales tax, x, and use it to determine the retail price of an item that has a sales tax of \$92.34.
 a. \$1156.24 b. \$1154.25 c. \$1098.56 d. \$1125.88 e. \$1166.48

20.

Find a mathematical model for the verbal statement:
"z varies directly as the square of  x and inversely as p."
 a. b. c. d. e.