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1. Percent of a number. Examples: a. What is 20% of 32? 6.4 b. 20% of what number is 19? 95 What is the difference between these two problems, and how do you solve them? Answers will vary 2. Percents and their fraction equivalents. Example- what is the fraction equivalent of 60%? 60/100, 6/10, simplest form is 3/5 3. Rate & Unit Rate Ex. There are 15 cars for every 60 motorcycles. What is the unit rate of cars to motorcycles? 15:60 or 1: 4 4. Plugging numbers into unknown formulas. Ex: Finding Density The formula for density is D= M/V If a rock weighs 14 grams, and its’ volume is 2 cm3, what is the density of the rock? 7 g/cm3 5. Which is the better buy? Rate? Examples: a. Amy drove to her mother’s house, which is 204 miles away. If it took her 3 hours, what was her average speed? 204 miles/3 hours = 68 miles per hour b. Four gallons of gasoline cost $16.80. What is the price per gallon? $16.80 / 4 gallons = $4.20 per gallon c. A T-shirt launcher can launch 5 shirts in 20 minutes. What is the rate in shirts per hour? 5 shirts =20 minutes Multiply both by 3 to get to 60 minutes 15 shirts= 60 minutes 15 shirts per hour 6. Rate vs. Unit Rate A rate is a ratio that is used to compare different kinds of quantities. A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity. http://www.brainingcamp.com/resources/math/rate/lesson.php Rate: 60 miles in 3 hours Unit Rate: 20 miles in 1 hour 7. Put decimals in order from least to greatest: 1.506, 1.56, 0.8 .8, 1.506, 1.56 8. What is the difference between these numbers? Put them in order from least to greatest. l-1l, l9l, l-15l, -7 The numbers between the lines are representing ABSOLUTE VALUE. -7, 1, 9, 15 9. Graphing Equations: y = 2x - 1 What numbers could possibly represent y and x? Ex: y= 3 and x=2 3=2(2)-1 3=4-1 3=3 Write those numbers as coordinate pairs: (x,y) (2,3) 10. Greatest Common Factor What is the GCF of 12 and 30? 6 11. Ratios http://www.thinkingblocks.com/thinkingblocks_ratios/tb_ratio_main.html 12. Ordering Fractions