Name: ______Period: ______Date: ______
Exam 6 Practice
Please read all directions carefully.
1. The Contreras family drove 520 miles from San Diego to Sacramento at an average rate of 65 miles per hour. How many hours did this trip take?
A.
B. 8
C.
D.
2. What is the value of x in the equation below?
A. 0
B. 1
C. 2
D. 3
3. Which of the following graphs represents the inequality ?
A.
B.
C.
D.
4. Which of the following equations represents a line that has a slope of -7 and an x-intercept of 9?
A.
B.
C.
D.
5. Which statement describes the graph of the system of equations below?
A. The lines are parallel.
B. The lines are coincident.
C. The lines intersect at point .
D. The lines intersect at point .
6. What is the slope of a line that is perpendicular to the graph of ?
A.
B.
C.
D.
7. What is the solution set for the equation ?
A.
B.
C.
D.
8. Which graph represents the following system of linear inequalities?
A.
B.
C.
D.
9. What is an equation of the line that contains the point and has a slope of 4?
A.
B.
C.
D.
10. If the sum of three consecutive odd integers is at most 240, what is the largest possible value of one of these integers?
A. 77
B. 79
C. 81
D. 82
11. Jack's baseball team won 5 more games than Bob's. If Bob's team won between 8 and 12 games, what can you conclude about the number of games won by Jack's team?
A. It won between 5 and 8 games.
B. It won between 13 and 17 games.
C. It won between 14 and 18 games.
D. It won between.11 and 15 games.
12. Gayla leaves point A traveling due east at a constant speed of 65 miles per hour. After Gayla has driven 40 miles, her sister Roxanne leaves point A also traveling due east on the same road. At what constant rate of speed, in miles per hour, must Roxanne drive in order to catch up to Gayla in 2 hours?
A. 75
B. 80
C. 85
D. 90
13. Which is the graph of ?
A.
B.
C.
D.
14. Which of the following inequalities is shown in the graph below?
A.
B.
C.
D.
15. Which of the following is the equation of a line parallel to the line represented by the equation and that passes through (8,0)?
A.
B.
C.
D.
16. Which of these graphs represents the solution of this system of inequalities?
A.
B.
C.
D.
17. The average rate of a printer is 5 seconds per page. At this rate, how many pages will be printed in 3 minutes?
A. 12
B. 36
C. 54
D. 90
18. If x is an integer, what is the largest value of x that satisfies the inequality below?
A. 1
B. 2
C. 13
D. 14
19. Which graph shows the solution of this system of equations?
A.
B.
C.
D.
20. Which equation represents the line that contains the point (2,5) and is parallel to the line represented by ?
A.
B.
C.
D.
21. The tank of a small airplane holds 50 gallons of fuel. Six gallons will be used for takeoff and landing. While in the air, the plane will consume an average of 8 gallons of fuel per hour. What is the maximum number of hours the plane can remain in the air?
A. 4.1
B. 4.8
C. 5.5
D. 6.0
22. Which graph represents the inequality ?
A.
B.
C.
D.
23. What is the solution set for the equation ?
A.
B.
C.
D.
24. Which equation represents the line that passes through the point and has a slope of ?
A.
B.
C.
D.
25. Which of the following equations is represented by the graph shown below?
A.
B.
C.
D.
26. Billy read 80 pages of a novel in 50 minutes. At these rates, how many hours will Billy spend reading the entire 420 page novel?
A.
B.
C.
D.
27. Which graph shows the solution of this system of equations?
A.
B.
C.
D.
28. Lines v and t are perpendicular to each other and intersect at the point . If the slope of line v is , what is the
equation of line t?
A.
B.
C.
D.
29. Which of the following points lies on the graph of ?
A.
B.
C.
D.
30. What are the x- and y-intercepts of the graph defined by the equation ?
A. x-intercept: , y-intercept:
B. x-intercept: , y-intercept:
C. x-intercept: , y-intercept:
D. x-intercept: , y-intercept:
DIRECTIONS: Answer all parts of the next question in the space below. Be sure to show your work.
31. The installation cost and monthly monitoring fee of a security system are listed below for two companies.
Ace Systems charges $354 for installation and $207 per month for monitoring the system.
Zero Entry charges $547 for installation and $193 per month for monitoring the system.
• Write a variable expression for the total cost of a security system installed and monitored by Ace Systems. Write a variable expression for the total cost of a security system installed and monitored by Zero Entry. Define the variable.
Ace Systems:
Zero Entry:
• Mrs. Clark will sign a contract to have a security system installed and monitored for 12 months. Calculate the total cost each company will charge for this service. Show all your work.
Ace Systems:
Zero Entry:
• Write and solve an inequality that shows how many months it takes before the total cost at Zero Entry is less than the total cost at Ace Systems. Show all your work.
• If Mrs. Clark signs a contract to have a security system installed and monitored for 18 months, which company has a lower total cost? Provide an explanation or show all your work.