Name:
Class:
Date:
chapter 1 Test
Multiple Choice
Indicate the answer choice that best completes the statement or answers the question.
Solve each proportion.
1.
=
a. 21
c. 12.5
b. 16
d. 18
2. The table shows the relationship between the wait time in minutes and the number of people in line.
People in Line
Number
Wait Time (min.)
4
80
8
160
12
240
16
320
What is the constant rate of change?
a. 16 minutes per person
c. 20 minutes per person
3. Simplify
.
a.
b.
c. 4
d. 9
Powered by Cognero
b. 17 minutes per person
d. 13 minutes per person
Page 1
Name:
Class:
Date:
chapter 1 Test
4. Determine whether the relationship between the total number of coins John collected and the number of weeks
he has been collecting them is proportional by graphing on the coordinate plane. Choose the correct answer.
-RKQ¶V&RLQ&ROOHFWLRQ
Total Coins
Time Collecting (wk)
Collected
2
35
4
55
6
75
8
95
a. No, because the graph of the line connecting the ordered pairs passes through the origin.
b. No, because the graph of the line connecting the ordered pairs does not pass through the origin.
c. Yes, because the graph of the line connecting the ordered pairs passes through the origin.
d. Yes, because the graph of the line connecting the ordered pairs does not pass through the origin.
Powered by Cognero
Page 2
Name:
Class:
Date:
chapter 1 Test
5. Determine whether the relationship between the two quantities is proportional. Choose the correct answer.
a. No, because the graph of the line connecting the ordered pairs passes through the origin.
b. No, because the graph of the line connecting the ordered pairs does not pass through the origin.
c. Yes, because the graph of the line connecting the ordered pairs passes through the origin.
d. Yes, because the graph of the line connecting the ordered pairs does not pass through the origin.
6. Determine whether the relationship between the two quantities shown in the graph is proportional. Choose the
correct answer.
a. No, because the graph of the line connecting the ordered pairs passes through the origin.
b. No, because the graph of the line connecting the ordered pairs does not pass through the origin.
c. Yes, because the graph of the line connecting the ordered pairs passes through the origin.
d. Yes, because the graph of the line connecting the ordered pairs does not pass through the origin.
Powered by Cognero
Page 3
Name:
Class:
Date:
chapter 1 Test
Find each unit rate. Round to the nearest hundredth if necessary.
7. $253 for 20 hours
a. 1 hour/$15.50
c. $25.30/hour
8. Caroline has
b. $12.65/hour
d. 1 hour/$12.65
pound of flower seeds. She wants to give 8 equal size packets of flower seeds to her friends.
How much will each packet of seeds weigh?
a.
lb
b.
c. 4 lb
lb
d. 16 lb
9. Use the graph to find the constant rate of change of the number of books printed per hour in a printing press.
a.
b.
c.
d.
10. The table below gives the number of beads needed to make bracelets of lengths 9, 18, 27, and 36 inches. Find
the value of the slope and explain what the slope means.
Bracelet Length in
inches (x)
Number of Beads (y)
9
18
27
36
72
144
216
288
a. ; 8 beads per inch
b. ; 8 inches per bead
c. ; 8 beads per inch
d. ; 8 inches per bead
Powered by Cognero
Page 4
Name:
Class:
Date:
chapter 1 Test
11. The graph below shows how much Lacey got paid based on the number of hours she babysat. Find the slope of
the line and explain what the slope means.
a. ; 8 hours per dollar
b. ; 8 hours per dollar
c. 8; $8 per hour
d. ; $8 per hour
Subjective Short Answer
12. $GDP¶VW\SHVZRUGVSHUPLQXWHHow many words per second can Adam type? Round to the nearest
hundredth.
13. A fan revolves at a speed of 2,250 revolutions per minute. About how many revolutions per hour is this?
Powered by Cognero
Page 5
Name:
Class:
Date:
chapter 1 Test
14. Manha and Larry opened savings accounts at the same time. The amount of money in each of their savings
accounts over several months is shown.
:KDWGRHVWKHSRLQWUHSUHVHQWRQ0DQKD¶VJUDSK":KDWGRHVWKHSRLQWRQ/DUU\¶VJUDSK
represent?
15. Ramon started collecting baseball cards. He started with no cards and then collected 26 each month. Is the
number of cards Ramon collected proportional to the time in months that he has spent collecting them? Explain
your reasoning by creating a graph or table.
16. The average speed of a Formula One racing car is 230 miles per hour, what is the average speed in feet per
hour?
17. It takes a librarian 15 minutes to arrange 5 rows of books on a shelf. How long will it take to arrange 15 rows of
books?
Powered by Cognero
Page 6
Name:
Class:
Date:
chapter 1 Test
18. The fees for parking in a garage are $5 for 8 hours and $11 for 12 hours. What is the rate of change in cost per
hour? What is the rate of change in cost per hour if the 12-hour fee is raised to $13?
19. Maryanne is writing songs for her new band. She writes the same number of songs each day. She has 9 songs
after 3 days. She has 18 songs after 6 days. What is the rate of change in songs per day? What is the rate of
change in songs per day if she has 21 songs written after 6 days?
Essay
20. Elena earns $6 an hour babysitting for 2 children.
a.
b.
c.
She charges $8 for 3 children. Is her rate proportional to the number of children?
If she uses a proportional rate, how much should she charge for 5 children?
Explain how you arrived at your answer in part b.
21. Sarah typed 225 words in five minutes. She then typed 135 words in three minutes. If Sarah types for 24
minutes, how many words did she type?
a. What is the answer?
b. Explain what the constant of variation is in the problem. Write an equation for the problem.
c. What is a constant of variation?
Powered by Cognero
Page 7
Name:
Class:
Date:
chapter 1 Test
Answer Key
1. d
2. c
3. d
4. b
5. b
6. c
7. b
8. a
9. c
10. c
11. c
12. 1.08 words per second
Use 60 seconds = 1 minute to convert the rates.
=
Multiply by
=
Simplify.
and divide out common units.
Adam can type 1.08 words per second.
13. 135,000 revolutions per hour
Use 60 min = 1 hour to convert the rates.
=
Multiply by
=
Simplify.
and divide out common units.
The fan revolves at a speed of 135,000 revolutions per hour.
14. The point (0, 60) represents Manha opening her savings account with a $60 deposit. The point (1, 25) represents the
$25 Larry has in his savings account after 1 month and the unit rate, $25 per month.
Powered by Cognero
Page 8
Name:
Class:
Date:
chapter 1 Test
15. Yes; Sample answer: The graph of the line connecting the ordered pairs representing the time in months and number
of baseball cards passes through the origin.
First, make a table to find the values of several ordered pairs.
5DPRQ¶V&DUG&ROOHFWLRQ
Number of Months Total Number of Cards
0
0
1
26
2
52
3
78
4
104
Then graph the ordered pairs to determine whether the relationship is proportional.
16. 1,214,400 ft/h
Use 1 mile = 5,280 feet to convert the rate.
=
Multiply by
=
Simplify.
and divide out common units.
The speed of the train is 1,214,400 feet per hour.
Powered by Cognero
Page 9
Name:
Class:
Date:
chapter 1 Test
17. 30 minutes
After 15 minutes, a librarian has arranged 5 rows of books. At this rate,
how long it would take to arrange 15 rows?
Draw a diagram showing the level of books after 15 minutes.
5 rows of books = 15 minutes
15 rows = 3 5 rows, so multiply the time by 3.
15 3 = 45 minutes.
18. $1.50; $2.00
The parking fee increases by $6.00 for every extra 4 hours. Write the unit rate and simplify.
1.5. So, the rate of
change is $1.50 per hour. When the 12-hour fee is raised to $13, the unit rate becomes , or $2.00 per hour.
19. 3 songs per day; 4 songs per day
The number of songs increases by 9 for every 3 days. Write the unit rate as a fraction and simplify.
has written 21 songs after 6 days, the rate of change is
Powered by Cognero
3. If she
, or 4 songs per day.
Page 10
Name:
Class:
Date:
chapter 1 Test
20. a. No, her rate is not proportional. The ratio for 2 children is
= . The ratio for 3 children is
= 2 . Since the
ratios are not the same, the rates are not proportional.
b. She should charge $15.
c. Her rate for babysitting is in the ratio of , since there would be 5 children she would have to charge $5 î $3 =
$15.
Assessment Rubric
Level 3 Superior
*Shows thorough understanding of concepts.
*Uses appropriate strategies.
*Computation is correct.
*Written explanation is exemplary.
*Diagram/table/chart is accurate (as applicable).
*Goes beyond requirements of problem.
Level 2 Satisfactory
*Shows understanding of concepts.
*Uses appropriate strategies.
*Computation is mostly correct.
*Written explanation is effective.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies all requirements of problem.
Level 1 Nearly Satisfactory
*Shows understanding of most concepts.
*May not use appropriate strategies.
*Computation is mostly correct.
*Written explanation is satisfactory.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies most of the requirements of problem.
Level 0 Unsatisfactory
*Shows little or no understanding of the concept.
*May not use appropriate strategies.
*Computation is incorrect.
*Written explanation is not satisfactory.
*Diagram/table/chart is not accurate (as applicable).
*Does not satisfy requirements of problem.
Powered by Cognero
Page 11
Name:
Class:
Date:
chapter 1 Test
21. a. She types 1,080 words.
b. The constant of variation is 45 because she can type 45 words in 1 minute. y = 45x
c. In some equations, there is a constant ratio between the two variables. Those equations represent variables that
vary directly. In this case, the ratio is constant.
Assessment Rubric
Level 3 Superior
*Shows thorough understanding of concepts.
*Uses appropriate strategies.
*Computation is correct.
*Written explanation is exemplary.
*Diagram/table/chart is accurate (as applicable).
*Goes beyond requirements of problem.
Level 2 Satisfactory
*Shows understanding of concepts.
*Uses appropriate strategies.
*Computation is mostly correct.
*Written explanation is effective.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies all requirements of problem.
Level 1 Nearly Satisfactory
*Shows understanding of most concepts.
*May not use appropriate strategies.
*Computation is mostly correct.
*Written explanation is satisfactory.
*Diagram/table/chart is mostly accurate (as applicable).
*Satisfies most of the requirements of problem.
Level 0 Unsatisfactory
*Shows little or no understanding of the concept.
*May not use appropriate strategies.
*Computation is incorrect.
*Written explanation is not satisfactory.
*Diagram/table/chart is not accurate (as applicable).
*Does not satisfy requirements of problem.
Powered by Cognero
Page 12