Ratios and Proportions
Ratios, Rates, and Unit Rates
Converting Measurements
Solving Proportions
Vocabulary
100
Simplify to tell whether the ratios are proportional.
8:22 and 2:11
No
100
Yoshi’s yogurt contains 15 calories per ounce. How many calories are in an 8-ounce container of Yoshi’s yogurt?
120 calories
100
4.5 liters to millileters
4500 mL
100
Molly bought two heads of cabbage for $1.80. How many heads of cabbage can you buy with $28.80?
32 heads of cabbage
100
A __________ is a comparison of two quantities by division.
Ratio
200
Simplify to tell whether the ratios are proportional.
6:9 and 10:18
no
200
Emily earns $7.50 per hour. How much does she earn in
3 hours?
$22.50
200
2.5 pounds to ounces.
40 oz.
200
A bubble solution can be made with a ratio of 1 part detergent to 8 parts water. How much detergent would you need to mix with 56 ounces of water?
7 ounces of detergent
200
Ratios that make the same comparison are ____________________.
equivalent ratios
300
Simplify to tell whether the ratios are proportional.
49:28 and 35:20
Yes
300
An antelope can run 152.5 miles in 2.5 hours. What is the speed of the antelope as a unit rate?
61 miles per hour
300
124 millimeters to centimeters
12.4 cm
300
Jimmy runs 5 laps in 6 minutes. The graph shows the ratio of laps to minutes that Billy runs. Who has the greater ratio of laps to minutes? Why?
Jimmy has the greater ratio of laps to minutes. When comparing the same number of minutes (6 minutes), Jimmy ran more laps (5 laps) compared to Billy's laps (4 laps).
300
A __________ is a comparison of two quantities that have different units.
rate
400
A pancake recipe calls for 2.5 cups of pancake mix to make 10 servings. Carmen uses 3 cups of mix to make 14 servings. Does Carmen have the correct ratio for the recipe? Explain.
No; she needs 3.5 cups of pancake mix to make 14 servings.
400
Bob and Marquis went on a trip. The first day, they drove 465 miles in 8 hours. What is their average speed for the first day of their trip?
58.125 mi per hr
400
22 gallons to quarts
88 quarts
400
Emily earned $40 for working 4 hours. The graph shows the Janet's earnings. Who has a greater ratio of money earned to hours worked? Why? 
Emily has a greater ratio of money earned to hours worked. When comparing the same amount of hours worked (4 hours), Emily earned more than Janet ($40>$30).
400
_______________________ are rates in which the second quantity is 1.
Unit Rates
500
Cal pays his employees weekly. He would like to start paying them four times the weekly amount on a monthly basis. Is a month equivalent to exactly four weeks? Explain.
No February is the only month that has 28 days. Every other month has 30 or 31 days.
500
A racecar was attempting to set a record. The racecar went 1,000 feet in 4.5 seconds. To the nearest tenth, what is the average speed of the racecar?
222.2 ft per sec
500
3.5 miles to yards
6,160 yards
500
The ratio of an objects weight on earth to its weight on the moon is 6:1. The first person to walk on the moon was Neil Armstrong. He weighed 165 lbs. on earth. What was his weight on the moon?
27.5 pounds
500
To convert units, multiply by one or more ratios of equal quantities called ____________________.
Conversion Factors