Name:    Chapter 8 Pre Test

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

1.

Use the graphs of the equations to determine the solution (if any) of the system of linear equations.

 a. b. c. d. infinitely many solutions e. no solution

2.

Select the graphs of the equations below and find solutions of the system of linear equations (if any).

 a. d. b. e. no solution c.

3.

Write the equations of the lines below in slope-intercept form.

 a. b. c. d. e.

4.

Write the system of linear equation in slope-intercept form.
 a. b. c. d. e.

5.

What can you conclude about the number of solutions of the system of linear equations  that has a slope-intercept form ?
 a. one solution: b. one solution: c. one solution: d. no solution e. infinitely many solutions

6.

A small company produces bird feeders that sell for per unit. The cost of producing each unit is , and the company has fixed costs of . Let the cost function be the total cost to produce x bird feeders and let the revenue function be the total revenue from selling x bird feeders. Graph the cost and revenue function and find the point of intersection of the graphs.
 a. d. b. e. c.

7.

If possible, solve the system below by the method of substitution.

 a. b. c. d. e.

8.

Solve the system of linear equations by the method of substitution.
 a. b. c. d. e.

9.

If possible, solve the system below by the method of elimination.

 a. b. c. d. e.

10.

If possible, solve the system below by the method of elimination.

 a. b. c. d. e.

11.

Use the most convenient method (graphing, substitution, or elimination) to solve the system of linear equations.

 a. b. c. d. e.

12.

Use the most convenient method (graphing, substitution, or elimination) to solve the system of linear equations.

 a. b. c. d. e.

13.

Consider the system of linear equations below.

Which value of k, , would the system have no solution.
 a. b.

14.

The sum of two numbers is and the difference of the two numbers is . Use a system of linear equations to find two numbers that satisfy the requirements.
 a. and b. and c. and d. and e. and

15.

The sale price of a watch is . The discount is of the list price. Use a system of linear equations to find the list price.
 a. b. c. d. e.

16.

A fundraising dinner was held on two consecutive nights. On the first night, adult tickets and children's tickets were sold, for a total of . On the second night, adult tickets and children's tickets were sold, for a total of . Find the price of each type of ticket.
 a. Children's tickets cost and adult tickets cost . b. Children's tickets cost and adult tickets cost . c. Children's tickets cost and adult tickets cost . d. Children's tickets cost and adult tickets cost . e. Children's tickets cost and adult tickets cost .

17.

The total time for a two-member team in a -meter relay race is minutes. The first runner on the team averages meters per minute and the second runner averages meters per minute. For how many minutes did the first runner keep the baton before passing it to the second runner?
 a. minutes b. minutes c. minutes d. minutes e. minutes

18.

Find b such that the line passes through the points and .
 a. b. c. d. e.

19.

Graph the solution of the system of linear inequalities below.

 a. d. b. e. c.

20.

Graph the solution of the system of linear inequalities below.

 a. d. b. e. c.