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Pre-AlgebraRates and Unit Prices

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What Are You Learning?

I CAN find unit rate and unit price.

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Why Do You Need To Know This?Rates are important because

they are used to compare quantities with different units.

Rates can be used in a variety of ways and can be found many places in the real world.

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VocabularyRate—Ratio that compares

quantities with different kinds of units.

Unit Rate—Rate with a denominator of 1.

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Ratio Unit Rate Abbreviation Name

# of miles/1hour

Miles per hour Mi/h or mph Speed

# of miles/1 gallon

Miles per gallon Mi/gal or mpg Gas Mileage

# of dollars/1 pound

Price per Pound Dollars/lb Unit Price

# of dollars/1 hour

Dollars per hour

Dollars/h Hourly Wage

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Notes

To find unit rate, you divide by the denominator.

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Find each unit rate. Round to the nearest hundredth if necessary.a. 300 tickets in 6 days

b. 220 miles in 8 gallons

c. 228 feet in 24 seconds

d. 440 miles in 8 hours

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How Much Does It Cost? Find the unit price per orange if it costs $2

for 6 oranges.

Find the unit price per can if it costs $3 for 6 cans of soda.

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Let’s Go Shopping!!You can buy a package of 100

index cards for $2.70, or 50 cards for $1.30, or 25 cards for $.75.

Which size has the lowest unit price?

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Dish Detergent Prices The table shows the

various sizes and prices of dish detergent.

Which size is the better buy?

Size Volume (fl oz)

Price

Mini 12 $1.20

Family 28 $2.24

Economy 40 $3.60

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Let’s Go Shopping! The costs of different

sizes of peanut butter are shown below.

Which jar costs the least per ounce?

Size Price

12 oz $2.49

40 oz $5.30

80 oz $10.89

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Let’s Go Shopping! The costs of different

sizes of orange juice are shown below.

Which container costs the least per ounce?

Size Volume (fl oz)

16 oz $1.28

32 oz $1.92

64 oz $2.56

96 oz $3.36

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Write each ratio as a fraction in simplest form.a. 9 hours to 3 days

b. 18 weeks:1 year

c. 45 minutes to 2 hours

d. 2 feet to 10 inches

e. $9/hour to ¢/min

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Find each unit rate. a. 10 miles/hour to feet per minute.

b. 3.5 quart/min to gallon/hour

c. 720 meter/day to meter/min.

d. 80 miles/hour to feet/second

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Class Work Versatile sheet 18 and 19