Name:    Chapter 1 Post Test

1.

Identify any intercepts and test for symmetry. Then sketch the graph of the equation.

 a. x-intercept : y-intercept : No symmetry b. x-intercept : y-intercept : No symmetry c. x-intercept : y-intercept : No symmetry d. x-intercept : y-intercept : No symmetry e. x-intercept : y-intercept : No symmetry

2.

You purchase a jet ski for \$10,000. The depreciated value, y, after x years is given by . Sketch the graph of the equation given .
 a. d. b. e. c.

3.

Justify each step of the solution.

 a. Original equation. Divide each side by . Simplify. Subtract from each side.Simplify. b. Original equation. Subtract from each side.Simplify. Divide each side by . Simplify. c. Simplify. Original equation.Subtract from each side.Divide each side by . Simplify. d. Original equation. Subtract from each side.Divide each side by .Simplify. Simplify. e. Original equation. Simplify. Subtract from each side.Divide each side by . Simplify.

4.

The price of item is given for 2000 and 2007. Find the percent change for the item.

 a. decrease b. decrease c. increase d. increase e. increase

5.

Solve the following percent equation.

70 is of what number?
 a. 275 b. 225 c. 250 d. 300 e. 200

6.

Solve the quadratic equation by factoring.

 a. b. c. d. e.

7.

Solve the equation by extracting square roots.

 a. b. c. d. e.

8.

Find real numbers a and b such that the equation is true.

 a. b. c. d. e.

9.

Perform the addition or subtraction and write the result in standard form.

 a. b. c. d. e.

10.

Describe the error.

 a. b. c. d. e.

11.

Select the equation which has the given solutions.

 a. b. c. d. e.

12.

The temperature (in degrees Fahrenheit) of saturated steam increases as pressure increases. This relationship is approximated by the model

where x is the absolute pressure (in pounds per square inch).
Complete the table.

 Absolute pressure, x Temperature, T
 a. b. c. d. e.

13.

Find the interval(s) on the real number line for which the radicand is nonnegative.
 a. b. c. d. e.

14.

The numbers of eggs   (in billions) produced in the United States from 1990 through 2006 can be modeled by

where t represents the year, with  corresponding to 1990.
If this relationship between salary and time continues, when was the annual egg production billion, but no more than billion?
(Round the answer to two decimal places.)
 a. b. c. d. e.

15.

The side of a square is measured as inches with a possible error of   inch. Using
these measurements, determine the interval containing the possible areas of the square.
Round your answers to three decimal places.
 a. b. c. d. e.

16.

You stop at a self-service gas station to buy 15 gallons of 87-octane gasoline at \$ a gallon. The gas pump is accurate to within of a gallon. How much might you be undercharged or overcharged?
Round your answer to two decimal places.
 a. b. c. d. e.

17.

Michael Kasha of Florida State University used physics and mathematics to design a new
classical guitar. The model he used for the frequency of the vibrations on a circular plate was

,

where is the frequency (in vibrations per second), t is the plate thickness (in millimeters), d is the diameter of the plate, is the elasticity of the plate material, and is the density of the plate material. For fixed values of d, and the graph of the equation is a line (see figure).

Estimate the frequency when the plate thickness is millimeters.
 a. Around b. Around c. Around d. Around e. None of these

18.

Solve the inequality and graph the solution on the real number line.

 a. b. c. d. e.

19.

Use a graphing utility to graph the equation. Use the graph to approximate the values of that satisfy the inequality.

Equation:

Inequality:

 a. d. b. e. c.

20.

Find the domain of in the expression.

 a. b. c. d. e.