1. Unit 3: Ratios and Proportions
Test Review

2. Eight friends go out to eat
Eight friends go out to eat. The bill, including tax and tip, came out to $ Three of the friends paid one-half of the bill. The other five friends paid the other half. How much money did each of the five friends have to pay? Assume each of the five friends paid the same amount.
First, we need to know how much half of the bill is. So divide $124 by 2 to get $62
Answer:
$12.40
The cost of $62 was shared by five friends. So divide 62 by 5.

3. 2. Laura bikes 8 2/3 miles in 20 minutes
2. Laura bikes 8 2/3 miles in 20 minutes. Draw a diagram to represent this situation. Then use a complete sentence to tell the rate that Laura travels in miles per hour.
8 2/3
16 4/3
24 6/3 = 26 miles
Miles
Minutes
60 minutes
= 1 hour 20 40
Therefore, Laura biked at a rate of 26 miles per hour.

4. 2. Laura bikes 8 2/3 miles in 20 minutes
2. Laura bikes 8 2/3 miles in 20 minutes. Draw a diagram to represent this situation. Then use a complete sentence to tell the rate that Laura travels in miles per hour.
You can also set up a proportion to solve this problem:
x = 26 20
Then cross multiply and solve for x 1
520 = 20x 20 20
Therefore, Laura biked at a rate of 26 miles per hour.

5. PART A: How many boxes of candy will Julia fill in one minute?
3. While working at a candy plant, Julia fills 5/8 of a box of candy every 20 seconds.
PART A: How many boxes of candy will Julia fill
in one minute?
5/8
10/8
15/8 = 1 7/8 or 1.875
Boxes
Seconds
60 seconds
= 1 minute 20 40
Therefore, Julia fills 1 7/8 boxes of candy in one minute

6. PART A: How many boxes of candy will Julia fill in one minute?
3. While working at a candy plant, Julia fills 5/8 of a box of candy every 20 seconds.
PART A: How many boxes of candy will Julia fill
in one minute?
You can also set up a proportion to solve this problem:
x = 1.875 15
Then cross multiply and solve for x 2
37.5 = 20x 20 20
Therefore, Julia fills 1 7/8 or boxes of candy in one minute

7. 3. While working at a candy plant, Julia fills 5/8 of a box of candy every 20 seconds.
PART B: Last week, Julia worked for 3 1/5 hours. How many boxes of candy did she fill?
You know Julia fills 1 7/8 boxes each minute, so first find how many per hour by multiplying 1 7/8 by 60. 15 2
Now to get the answer, I need to multiply the number of boxes per hour by 3 1/5 45 8
Julia will make 360 boxes in 3 1/5 hours
360 1 1

8. 4. A store sells 1/3 pound of bananas for $0. 23
4. A store sells 1/3 pound of bananas for $0.23. If you are having a banana split party and need 3 pounds of bananas, how much would it cost? Explain.
1/3
2/3
3/3 = 1 Pound
Pounds
Cost
$.69
$.23
$.46
Bananas would cost $.69 per pound. Since we need 3 pounds, we need to multiply $.69 by 3 to get the total cost.
Three pounds of bananas would cost $2.07
$.69 (3) = $2.07

9. List the price per pound in order from least to greatest.
5. Francisco was looking through the Sunday paper to see which store has sales on jelly beans. He examined four ads that had the following prices:
Store A B C D
Jelly Beans (pounds)
2 ¾
1 ¼
4 ¼
Price
$3.99
$2.25
$12.99
$1.99
List the price per pound in order from least to greatest.
Convert each fraction to a decimal, then divide to get the price per one pound.
A: $3.99 ÷ 2.75=
About $1.45 per pound
B: $2.25 ÷ 1.25=
$1.80 per pound

10. List the price per pound in order from least to greatest.
5. Francisco was looking through the Sunday paper to see which store has sales on jelly beans. He examined four ads that had the following prices:
Store A B C D
Jelly Beans (pounds)
2 ¾
1 ¼
4 ¼
Price
$3.99
$2.25
$12.99
$1.99
List the price per pound in order from least to greatest.
Convert each fraction to a decimal, then divide to get the price per one pound.
So, the price per pound in order from least to greatest is: A, B, C, and D
C: $12.99 ÷ 4.25=
About $3.06 per pound
D: $1.99 ÷.50=
$3.98 per pound

11. 6. A scale on a map shows that 1 inches represents 15 miles
6. A scale on a map shows that 1 inches represents 15 miles. The table below shows the distances (in miles) between various cities. Which of the following distances are correct? Select all that apply.
Distance (miles) between various cities
Various Cities 15
Temecula to Menifee 65
Murrieta to San Diego 35
Lake Elsinore to Riverside 75
Perris to Los Angeles 50
Canyon Lake to San Marcos 70
Quail Valley to Long Beach
A. The distance on the map from Temecula to Menifee is 1 inch.
We know this is CORRECT because it tells us in the problem that 1 inch is 15 miles.
B. The distance on the map from Murrieta to San Diego is 4 inches.
65 ÷ 4 = 16.25, so each inch would be miles. This distance is INCORRECT.

12. 6. A scale on a map shows that 1 inches represents 15 miles
6. A scale on a map shows that 1 inches represents 15 miles. The table below shows the distances (in miles) between various cities. Which of the following distances are correct? Select all that apply.
Distance (miles) between various cities
Various Cities 15
Temecula to Menifee 65
Murrieta to San Diego 35
Lake Elsinore to Riverside 75
Perris to Los Angeles 50
Canyon Lake to San Marcos 70
Quail Valley to Long Beach
C. The distance on the map from Lake Elsinore to Riverside is 2 inches.
35 ÷ 2 = 17.5, so each inch would be 17.5 miles. This distance is INCORRECT.
D. The distance on the map from Perris to Los Angeles is 5 inches.
75 ÷ 5 = 15, so each inch would be 15 miles. This distance is CORRECT.

13. 6. A scale on a map shows that 1 inches represents 15 miles
6. A scale on a map shows that 1 inches represents 15 miles. The table below shows the distances (in miles) between various cities. Which of the following distances are correct? Select all that apply.
E. The distance on the map from Canyon Lake to San Marcos is 3 inches.
Distance (miles) between various cities
Various Cities 15
Temecula to Menifee 65
Murrieta to San Diego 35
Lake Elsinore to Riverside 75
Perris to Los Angeles 50
Canyon Lake to San Marcos 70
Quail Valley to Long Beach
50 ÷ 3 = , so each inch would be miles. This distance is INCORRECT.
F. The distance on the map from Quail Valley to Long Beach is 4 2/3 inches. 35 7
70 ÷ 4 2/3 = 15, so each inch would be 15 miles. This distance is CORRECT.

14. Proportional Relationship
7. List characteristics of proportional/non-proportional relationships in each box.
Proportional Relationship
Non-Proportional Relationship
Each quantity is multiplied by the same factor to get a proportional quantity
Each quantity is multiplied by the DIFFERENT factors to get a NON-PROPORTIONAL quantity.
If the first quantity is zero, the second quantity is zero
If the first quantity is zero, the second quantity is NOT zero
The graph of the relationship is a straight line through the origin
The graph of the relationship is NOT a straight line through the origin
You will get the same product when cross multiplying 2 ratios.
You will get the DIFFERENT product when cross multiplying 2 ratios.

15. Chicken Tacos are on special:
7. Proportional or Non-Proportional? Place in correct box.
Carne Asada Tacos are on special: 2 tacos for $2 and then $.25 per taco after that.
Chicken Tacos are on special:
3 tacos for $1.
Proportional Relationship
Non-Proportional Relationship

16. Proportional Relationship
7. Proportional or Non-Proportional? Place in correct box. A 1 2 3 4 5 B 8 16 32 A 1 2 3 4 5 B 6 9 12 15
Proportional Relationship
Non-Proportional Relationship
Graph the relationship that is proportional.
The constant of proportionality is 3 since each taco you buy costs $3. Every time you buy another taco, the price increases by $3.

17. 8. Which of the following tables represents a proportional relationship?
Cross multiply: 3(1) = 2(6)
3 does not equal 12, so this is NOT proportional. A. X 3 6 9 Y 2 1 X 1 2 3 Y 6
1/1 = 1, so all other ratios should = 1. This is not the case, so it is NOT proportional. B. C. X 6 12 18 Y 2 4
All ratios divide to = 3, so this IS proportional. D. X 3 6 9 Y
1.5
4.5
All ratios divide to = 2, so this IS proportional.