Multiple Choice
1. Write a rule for the sequence. (1 point) 5, –4, –13, –22,...
Start with –9 and add 5 repeatedly. Start with 5 and add 9 repeatedly.
Start with 5 and subtract –9 repeatedly. Start with 5 and add –9 repeatedly.
2. Find the next three terms of the sequence. –2, –12, –72, –432, ...
–1,728, –6,912, –27,648 –1,728, –10,368, –62,208 –2,592, –10,368, –41,472 –2,592, –15,552, –93,312
3. What is the 9th term in the following sequence?
11, 17, 23, 29, . . .
47 53 59 65
4. Which explains why the sequence 216, 12,
The sequence is geometric because it decreases by a factor of 6.
(1 point)
(1 point)
, ... is arithmetic or geometric.
(1 point)
The sequence is arithmetic because it decreases by a factor of 6. The sequence is geometric because it decreases by a factor of .
The sequence is arithmetic because it decreases by a factor of .
5. Find the value of the variables in the table.
x n 4 6 10 12
y 1 9 m 21 25
m = 13, n = 0 m = 11, n = 0 m = 15, n = 3 m = 13, n = 3
(1 point)
6. Write an expression to describe a rule for the sequence. Then find the 100th term in the (1 point) sequence.
5, 13, 21, 29, 37, 45, ...
8n; 800
8n – 3; 797 3n – 8; 292 5 + 8n; 805
7. Note: The item below has been reviewed and is scheduled to be updated. All students will receive full credit for any response to the following.
The total cost for a business to make greeting cards can be divided into one-time costs (e.g., a printing machine) and repeated costs (e.g., ink and paper). Suppose that the one-time cost to be able to make cards is $300, the total cost to make 300 cards is $900.00, and the total cost to make 650 cards is $1,600.00. What is the total cost to make 1,000 cards? Find the function rule to help you solve the problem.
(1 point)
Number of Cards Total Cost
0 $300
300 $900
650 $1,600
1,000
$2,100.00 $2,300.00 $2,500.00 $3,000.00
8. Which graph below shows the rule: output = 5 times input?
(1 point)
9. The time between a lightning flash and the following thunderclap may be used to estimate, in kilometers, how far away a storm is. How far away is a storm if 9 seconds elapse between the lightning and the thunderclap?
Use the formula d= , where t is the time, in seconds, between the flash and the thunderclap.
27 kilometers 18 kilometers
(1 point)
12 kilometers 3 kilometers
10. Write a rule for the function represented by the table. (1 point) xy
09 1 28 2 47 3 66
y = 9 + 19x y = 18 + 10x y = 19 + 9x y = 10 + 18x
11. Which function rule would help you find the values in the table?
nm
2 –6 4 –12 6 –18
m = –3n m = n–6 m = n–3 m = –6n
(1 point)
12. The graph shows the number of dollars in Tom's savings account at the beginning of each month last year.
What does the graph show about the number of dollars in Tom's account on the 8th, 9th, and 10th months?
The number of dollars was at its greatest amount. The number of dollars did not change.
The number of dollars decreased.
The number of dollars increased.
(1 point)
13. Tony has a barrel to catch rainwater to use for household chores. The graph shows the volume of water in the barrel during a rainstorm.
a. At one point Tony took water out of the barrel to wash the dishes. When he do that?
b. Approximately how many liters of water did he take out?
6:00 p.m.; 0.8 liter 3:30 p.m.; 0.9 liter 5:00 p.m.; 0.8 liter 5:30 p.m.; 0.2 liter
(1 point)
14. Select a graph for the situation. You leave home and head to a meeting. You start out at a fairly steady pace until you get to a crosswalk. While stopped at the crosswalk, you realize that you have forgotten your notes. You turn around and head back home at the same fairly steady pace. You grab your notes and then run to your meeting without stopping, although along the way your pace slows down a bit. The graphs show the amount of time that has passed and your distance from home.
(1 point)
15. Bill takes a loan of $9,000.00 at a 8% simple interest rate for 6 years.
a. How much interest will he pay after 2 years?
b. How much interest will he pay in total for the loan?
$720.00; $3,600.00 $1,408.00; $4,224.00 $36,000.00; $12,000.00 $1,440.00; $4,320.00
(1 point)
16. Angela invests $2,550 at 3% interest compounded annually. What will be the balance in the account after 1.5 years?
(1 point)
$2,626.50 $3,635.69 $2,665.61 $4,792.50
17. Which is M = 9pn solved for p?
(1 point)
18. Which is solved for P? (1 point)
P = 200QL
19. During exercise, the recommended maximum heart rate in beats per minute is modeled by the formula M = 176 – 0.8A, where M is the maximum heart rate and A is the person’s age. Approximately, at what age would you have a recommended heart rate in beats per minute of 135?
25 years 39 years 51 years 53 years
(1 point)
Short Answer
Note: For questions 20-22, your teacher will grade your responses to ensure you receive proper credit for your answers.
20. Find the common difference in the outputs to help find the missing outputs in the table. Be sure to show your work.
a56789 b 3.8 4.6 5.4
(2 points)
Short Answer
Note: For question 15, your teacher will grade your responses to ensure you receive proper credit for your answers.
21. Juan and Rita both rode bicycles from the park to Main Street. The graphs below represent the (2 points) time and distance for each student’s ride. Who rode more slowly? Justify your answer.
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1. Start with 5 and subtract –9 repeatedly.
2. -2 x (-6) = 12, 12 x (-6) = -72, -72 x (-6) = 432, 432 x (-6) = -2,592, -2,592 x (-6) = 15,552, -15,552 x (-6) = 93,312
3. 35
4. The sequence is geometric because it decreases by a factor of 6.
5. m = 15, n = 3
6. 8n + 5; 805
7. $2,300.00; y = 1.7x + 300
8. Graph A
9. 3 kilometers
10. y = 9 + 19x
11. m = n - 3
12. The number of dollars decreased.
13. a. 5:30 p.m. b. 0.6 liter
14. Graph B
15. a. $720.00 b. $2,160.00
16. $2,665.61
17. p = M/9n
18. Q = P/200L
19. 39 years
20. Common difference is 0.8. a = 4.2, b = 6.2
21. Rita rode more slowly because her graph has a lower slope, indicating a slower speed.
1. Start with 5 and subtract –9 repeatedly.
2. –2, –12, –72, –432, –2,592, –15,552, –93,312
3. 47
4. The sequence is arithmetic because it decreases by a factor of 6.
5. m = 15, n = 3
6. 8n – 3; 797
7. $2,100.00
8. The graph with a straight line representing output = 5 times input.
9. 18 kilometers
10. y = 9 + 19x
11. m = –3n
12. The number of dollars decreased.
13. a. 3:30 p.m. b. approximately 0.9 liters
14. Graph 4
15. a. $1,440.00 b. $4,320.00
16. $2,665.61
17. p = M/(9n)
18. P = 200L/Q
19. 51 years
20. The common difference is 0.8. Missing outputs: a = 6.2, b = 6.8
21. Rita rode more slowly because she took longer to cover the same distance.