2. EOC Practice 24. x + (2x + 0.15) + (x + 0.05) = 1.8 Which of the following is the value of x? a)0.40 b)0.45 c)0.53 d)0.96 25. 50(t – 1) = 30t What is the value of t?

3. 26. 27. Just in case: The equation at the top is b = 24 – 2s Solve for s

4. Vocabulary: 1. Ratios 2. Rates 3. Conversion Topic: Ratios, Rates, and Conversions Essential Question: How can I write ratios & unit rates to compare quantities? Name: Period: Date:

5. A ratio is the comparison of two numbers written as a fraction. For example:Your school’s basketball team has won 7 games and lost 3 games. What is the ratio of wins to losses? Because we are comparing wins to losses the first number in our ratio should be the number of wins and the second number is the number of losses. The ratio is games won _________ games lost = 7 games _______ 3 games = 7 __ 3

6. RATIOS A ratio makes a comparison. There are 3 green aliens and 4 purple aliens. The ratio of green aliens to purple aliens is 3 to 4.

7. RATIOS A ratio makes a comparison. The ratio of green aliens to total aliens is 3 to 7. What is the ratio of total aliens to purple aliens? The ratio of total aliens to purple aliens is 7 to 4.

8. RATIOS A ratio makes a comparison. Ratios can be written in three different ways. 3 to 4 3:4

9. 1) You are shopping for T-shirts. Which store offers the best deals? Store A: $25 for 2 shirts Store B: $45 for 4 shirts Store C: $30 for 3 shirts 2) Which is the better buy? Deal #1: $3.29 for 6 Bagels Deal #2: $4.15 for 8 Bagels Could we apply this concept?

10. In a ratio, if the numerator and denominator are measured in different units then the ratio is called a rate. A unit rate is a rate per one given unit, like 60 miles per 1 hour. Example:You can travel 120 miles on 60 gallons of gas. What is your fuel efficiency in miles per gallon? Rate = 120 miles________ 60 gallons = ________2 miles 1 gallon Your fuel efficiency is 2 miles per gallon.

11. RATES A rate is a ratio that compares quantities that are measured in different units. This spaceship travels at a certain speed. Speed is an example of a rate. Speed can be measured in many different ways. This spaceship can travel 100 miles in 5 seconds. 100 miles in 5 seconds is a rate.

12. RATES A rate is a ratio that compares quantities that are measured in different units. Rates are often written in fraction form. 100 miles in 5 seconds is a rate. It can be written as….. Miles Seconds

13. RATES A rate is a ratio that compares quantities that are measured in different units. One key word that often identifies a rate is PER. Miles per gallon, Points per free throw, Dollars per pizza, Sticks of gum per pack

14. Conversions Conversion factor – a ratio of two equivalent measures in different units that always equals one

15. Conversions: How do you convert 330 minutes to hours?!? 15kg to grams --- convert to grams 5feet and 3 inches --- convert to inches Hint: Big to Small  Multiply Small to Big  Divide

16. How many centimeters are in 1 kilometers? Conversions: 120 meters; cm 8 hr; min How many inches are in 5yd 4ft? 5 mi; ft 120 min; s Hint: Big to Small  Multiply Small to Big  Divide

17. Hint: Big to Small  Multiply Small to Big  Divide Independent Practice: 80ft; yd 35 km; cm23 days; hours Car 1 drove 476 miles in 7 hours and Car 2 drove 438 miles in 6 hours during the cross-country road race. Who had the fastest average speed?

18. Reference Sheet: 1 yard = 3 feet = 36 inches 1 mile = 1,760 yards = 5,280 feet 1 acre = 43,560 square feet 1 hour = 60 minutes 1 minute = 60 seconds 1 cup = 8 fluid ounces 1 pint = 2 cups 1 quart = 2 pints 1 gallon = 4 quarts 1 pound = 16 ounces 1 ton = 2,000 pounds 1 liter = 1000 milliliters = 1000 cubic centimeters 1 meter = 100 centimeters = 1000 millimeters 1 kilometer = 1000 meters 1 gram = 1000 milligrams 1 kilogram = 1000 grams Conversions Hint: Big to Small --- Multiply Small to Big --- Divide

19. Reminder: Vocabulary Review, Summary, and Left column questions Wrap-up: