Unit Rate
Scale Factor
Conversions
Better Deal
Proportional Reasoning
100
Which of the following best describes a unit rate?

A. A ratio that compares two quantities that are measure in different units.

B. An Equation that states that two ratios are equal

C. A comparison that has a denominator or 1

D. Ratios that represent the same part-to-part relationship or the same part-to-whole relationship

What is

C. A comparison that has a denominator of 1

100

What is the unknown Quantity?

5280 ft/1 mi = ?/4 mi

21, 120 Feet

100

How many feet are in 6 yards? 

1 foot (ft) = 12 inches

1 yard (yd) = 36 inches

1 yard = 3 feet

1 mile (mi) = 5,280 feet

1 mile - 1,760 yards

18 feet

100

The table below shows the prices at two different stores for ketchup. Which store has the better buy?

Item| Fran's Foods | Diane's Deli

Ketchup | $3.69 for 14 ounces| $2.29 for 12 ounces

Diane's Deli

100

There are 12 gallons of water used after 4 showers. How many showers can happen with 216 gallons of water. 

72 showers

200

An 8 pound bag of oranges costs $4.95. Calculate the unit rate. Round to the nearest penny. 

What is $0.62

200

Scale the following ratio up or down to determine the unknown quantity. Include units in your answer?

20qt/ 5gal = 4qt/ ?

1 gallon

200

The average man weights 105 kilograms. Maria wants to find out how many pounds that is. Write a proportion that she could use to solve for the number of pounds. Do not solve the proportion. 

1 kilogram = 2.2 pounds

1 kilogram/2.2 pounds = 105 kilograms/ x

200
The table below shows the prices at two different stores for cereal. Which store has the better buy?


       Item | Fran's Foods | Diane's Deli

Cereal | $3.36 for 16 ounces | $5.52 for 24 ounces

What is Fran's Foods

200

You purchase a dozen roses for $42. Each rose cost the same amount. How much will you pay for 7 roses at the same price per rose? 

$24.50

300

A 14 pack of limes costs $1.12. What is the unit cost?

A. $0.80

B. $0.90

C. $0.05

D. $0.08

What is

D. $0.08

300
Scale the following ratio up or down to determine the unknown quantity. Include units in your answer.


10,800 sec/ 3 hrs = 3600 sec/ ?


1 hour

300

Ms. Leonard purchases 40 inches of string for students to use as belts when they forget theirs at home. 15 inches were left over at the end of Monday. About how many centimeters of string was used on Monday? (1 inche is approximately 2.54 centimeters) 

63.50 centimeters

300

Which of the following has the least cost per ounce?

A. 12 ounces of peanut butter for $1.44

B. 32 ounces of trial mix for $6.80

C. 15 ounces of apples for $1.50

D. 20 ounces of avocados for $3.60

C. 15 ounces for apples $1.50

300

Josue and Angel are each making snack mix. Josue's recipe calls for 7 parts pretzels to 3 parts peanuts. Angel's recipe calls fr 6 parts pretzels to 2 parts peanuts. Which recipe has a higher concentration of Peanuts? Explain your reasoning.

Josue's because I scaled up each ratio to find the common denominator, or because I converted both ratios to percents. 

400

Teachers earn $540 for working 3 ten-hour shifts at school. What is their hourly wage?

A. $18 per hour

B. $20 per hour

C. $300 per hour

D. $80 per hour

What is A. $18 per hour

400

The table below shows how much Adamari charges to babysit. How much would Adamari charge for 7 hours?

  Hours| 0.5 | 1 | 1.5| 2 | 2.5 | 3 | 3.5 | 4 |

Charge| $3.25|   |   |$13.00|  |  |  | | |

$45.50

400

Which steps can you use to change 13 feet to centimeters? ( 1 in. = 2.54 cm)

F. Divide by 13 by 12 and the multiply by 2.54

G. multiply by 13 by 12 and the multiply by 2.54

H. Divide by 13 by 12 and then divide by 2.54

J. mulitply by 13 by 12 and then divide by 2.54

G. 

400

The table below shoes the prices at two different stores for apples. Which stores has the better buy?

Item | Fran's Foods | Diane's Deli

Apples | $3.80 for 10| $0.86 for 4

What is Diane's Deli

400

There are 4 grape juice boxes in each variety pack of 10 juice boxes. How many are NOT grape juice boxes in a container of 35 juices? 

21

500

The table below shows data about he worlds fastest turtles.

               Turtle| Distance| Time

Snapping Turtle | 4 miles| 2.3 hours

Sea Turtle         | 6 miles| 3.1 hours

Tortoise.           |3 miles  |1.1 hours

Which turtle is fastest?

What is Toroise

500

Ms. Gren is making arroz con pollo for the teacher potluck. The dish is made of 5 parts rice and 1 part chicken. If she makes 18 cups of arroz con pollo, how many cups of rice does she need for her recipe?

15 cups

500

A typewrite can type for 63 days without stopping. Javier wanted to figure out how many seconds of typing it is and did the following steps.

step 1: 63(24) = 1,512 hours

Step 2: 1,512(60) = 90,720 minutes

Step 3: 90,720/60 = 1,512 seconds

Which step did he make a mistake?

Step 3

500

Box A of green tea contains 8 tea bags and costs $1.12. Box B of green tea contains 18 tea bags and cost $1.98. Which box has the least cost per bag?

Box B. 

500

Ms. Lagana is making spaghetti. She uses 1 1/2 can of tomato paste for every 3 bowls of spaghetti. She has 3 3/4 cans of tomato paste in her pantry. How many bowls of spaghetti can she make? 

7.5 bowls

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