Caitlin works part-time at the mall
Ratios and Proportional Relationships
Unit Test: B
1. A shopper bought a 12-pound bag of oranges for $18.75. What was the unit price?
A $0.64 C $1.73
B $1.56 D $6.40
2. The table shows a person saving money at a constant rate.
|Weeks |2 |4 |6 |8 |
|Total Savings ($) |60 |120 |180 |240 |
How much will this person save in
70 days?
A $30 C $140
B $70 D $300
3. A student reads at a rate of 16 pages per day. Which ordered pair would be on a graph of this relationship?
A (1.5, 26) C (5.5, 88)
B (2.25, 30) D (7.25, 110)
4. Denise bought 5.2 pounds of rice for $5.29. Using the unit rate, how much would 2 pounds of rice cost?
A $1.02 C $2.04
B $1.29 D $6.31
5. What is the percent of increase for a population that changed from 438,000 to 561,000?
A 21.9% C 35.6%
B 28.1% D 45.6%
6. A merchant buys a television for $125 and sells it for a retail price of $200. What is the markup?
A 37.5% C 62.5%
B 60% D 160%
7. $12,000 is invested for 4 years at a simple interest rate of 1.5%. How much does the investment earn?
A $180 C $1,800
B $720 D $7,200
8. A dime is what percent of a dollar?
A 1% C 100%
B 10% D 1.10%
9. A machine stamps 360 metal parts in
15 minutes. Find the unit rate in parts
per hour.
10. The table shows the distance traveled by an object moving at a constant speed. What is the constant of proportionality?
|Seconds |10 |15 |20 |
|Meters |85 |127.5 |170 |
Ratios and Proportional Relationships
11. Write an equation for the relationship shown on this graph if the price per ticket is doubled.
12. Compare the percents of change.
|Year |2000 |2005 |2010 |
|Population |4.3 |3.2 |5.6 |
|(millions) | | | |
13. A keyboard that costs $475 is marked down 15% for a sale. What is the reduced price of the keyboard?
14. A shopper bought shoes marked $45. The sales tax is 6.5%. How much did the shopper pay in all?
15. What can show a constant rate of change on a graph? Explain.
16. What is the constant rate of change shown in the table?
|Number of |Cost ($) |
|Tickets | |
|1 | 8 |
|2 |16 |
|3 |24 |
|8 |64 |
15. [pic]
16. Layla; 20 points higher
17. Science test;[pic] ’ 0.8, [pic] ’ 0.84
18. $0.76
Unit 1 Test: D
1. C
2. C
3. A
4. C
5. B
6. B
7. A
8. B
9. C
10. B
11. 55
12. $241
13. [pic]
14. $250
15. 6.75
16. $15
17. −3.5
18. [pic]
19. 16
20. 10 min
21. $400 loss
22. Yes, the sum is $4.90.
23. $80
24. [pic]
Unit 1 Performance Task
1. 21 + 15 ’ 36; 36 ft
2. −7.1 − 3.25 ’ −10.35; −10.35 ft
3. 3 x 28 [pic] ’ 86 [pic] ; 86 [pic] ft
4. 2.5 x −7.1 ’ −17.75; at −17.75 ft
5. 86.25 − (−17.75) ’ 104; 104 ft
6. 2[pic] x −6[pic]’ −16[pic]; at −16[pic]ft
7. Answers will vary.
UNIT 2 Ratios and Proportional Relationships
Unit 2 Test: A
1. D
2. B
3. A
4. C
5. B
6. B
7. B
8. B
9. C
10. C
11. $1.62/lb
12. 510 m
13. y ’ 2x
14. 75%
15. $71.25
16. $43.20
17. The ratio between every horizontal and vertical change is the same or constant.
18. $25 per shirt
19. 9 in.
20. Sample answer: Label the horizontal axis hours and the vertical axis miles. Points would be at (1, 60), (2,120), (3,180), and so on. The line connecting the points shows rate of change.
Unit 2 Test: B
1. B
2. D
3. C
4. C
5. B
6. B
7. B
8. B
9. B
10. C
11. 1,440 parts per h
12. k ’ 8.5
13. y ’ 4x
14. From 2000 to 2005, there was a 25.6% decrease. From 2005 to 2010, there was a 75% increase.
15. $403.75
16. $47.93
17. a straight line; the ratio between every horizontal and vertical change is the same or constant.
18. $8 per ticket
19. 190 km
20. Sample answer: Label the horizontal axis seconds and the vertical axis feet. Points would be at (1, 15), (2, 30), (3, 45), and so on. The line connecting the points shows rate of change.
Unit 2 Test: C
1. A
2. B
3. C
4. B
5. D
6. A
7. C
8. B
9. C
10. C
11. 193.55 parts per h
12. k ’ 8.5, k ’ 12.5; The second object is moving faster.
13. y ’ 2.5x
14. 62.5%
15. $23
16. $200 ( 115% ’ $230, the retail price;
$230 ( 85% ’ $195.5, the sale price
17. Sample answer: She should draw a straight line with points (0, 0), (1, 4)
(2, 8).
18. $1.19 per battery
19. Sample answer: Label the horizontal axis minutes and the vertical axis meters. Points would be at (1, 3.5), (2, 7),
(3, 10.5), and so on. The line connecting the points shows rate of change.
20. [pic]ft or 42.9 in. or 3 ft 6.9 in.
Unit 2 Test: D
1. A
2. C
3. B
4. C
5. A
6. B
7. A
8. C
9. A
10. C
11. 3; [pic] cents
12. 12, 18
13. $18
14. 0.75, 75%
15. 90%, $400, $360
16. $2.00
17. a straight line
18. $9 per book
19. 1,200 mi
20. Sample answer: Label the horizontal axis hours and the vertical axis miles. Points would be at (1, 15), (2, 30), (3, 45), and so on. The line connecting the points shows rate of change.
Unit 2 Performance Task
1. 25; 50; 125; 200
2. and 4.
[pic]
3. y ’ 50x
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unit
2
unit
2
[pic]
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