1. 1 Pre-Algebra Rates and Unit Prices

2. 2 What Are You Learning? I CAN find unit rate and unit price.

3. 3 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.

4. 4 Vocabulary  Rate—Ratio that compares quantities with different kinds of units.  Unit Rate—Rate with a denominator of 1.

5. 5 RatioUnit RateAbbreviationName # of miles/1hour Miles per hourMi/h or mphSpeed # of miles/1 gallon Miles per gallonMi/gal or mpgGas Mileage # of dollars/1 pound Price per PoundDollars/lbUnit Price # of dollars/1 hour Dollars per hour Dollars/hHourly Wage

6. 6 Notes  To find unit rate, you divide by the denominator.

7. 7 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

8. 8 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.

9. 9 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?

10. 10 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 Mini12$1.20 Family28$2.24 Economy 40$3.60

11. 11 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

12. 12 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

13. 13 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

14. 14 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

15. 15 Class Work  Versatile sheet 18 and 19