Name ______

Integrated Algebra conversions PRACTICE

  1. Main Street Florist sells two dozen roses for $24.60. Flowers for You Florist sells roses for $7.50 for half of a dozen. Find the unit rate for each. Which florist has the lower cost per rose?
  1. A cheetah ran 300 feet in 2.92 seconds. What was the cheetah’s average speed in miles per hour?
  1. If Pete drove 300 miles at a rate of 50 miles per hour, find the number of hours Pete traveled.
  1. A copier takes 4 minutes to duplicate 480 pages. Express the rate at which the copier duplicates, in pages per second.
  1. A car uses 18 gallons of gasoline to travel 558 miles. How far can the car travel on 12 gallons of gasoline?
  1. 1 lb = 0.453 kg
  2. A person’s weight is 154 pounds. Convert this to kilograms.
  1. An aspirin tablet contains 325 mg of acetaminophen. The correct dosage is 5 mg of aspirin for every kilogram of body weight. How many aspirin tablets should this person take?
  1. Steve ran 100 meters in 13.5 seconds. What is that converted to meters per hour?
  1. In a game of ice hockey, the hockey puck took 0.8 second to travel 89 feet to the goal line. Determine the average speed of the puck in miles per hour.
  1. Sue walked to her school at 2 miles per hour, picked up her bicycle and rode back home at 10 miles per hour. If the round trip took 1.5 hours, how far is the school from Sue's home?

Converting units: It is often important to be able to change the units in a particular situation, whether it is you are preparing a meal and need to change ounces to pounds or liters to gallons. Or perhaps you are traveling and need to convert miles per minute to miles per hour. Etc….On the up-coming regents, it is expected you can THINK through some basic conversions and you will be given some basic information to solve the problem. Here are some basic conversions you will not be given on the regents, YOU NEED TO KNOW THESE….

1 mile = 5280 feet 1 minute = 60 seconds 1 hour = 60 minutes

Distance = (speed)(time) which you may know as d = rt (distance = rate * time)

Examples:

1)Suppose Your friend can run one full lap around the track (that is 400 meters) in 62 seconds. What is that converted to MILES per HOUR?

1 meter = .000621 miles

2)Suppose you walk to your friend’s house at an average speed of 3 miles per hour and once you got there you got a bike and biked home at an average speed of 12 MPH. If the round trip took 1.75 hours, how far away is your friend’s house from yours?

3)Mr. Paley wants to know how much protein mix to put into his shake…He knows he weighs 158 pounds and the protein mix says “ 1 scoop for every 25 kilograms”, how many scoops should he mix into his shake? 1 LB = .453 KG