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Review of Conversions, Ratios, Rates, and Proportions
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Key Concepts:
Terms in this set (66)
ratio
A comparison of the relationship between two quantities by division. (Ex: A:B)
rate
A ratio of two quantities measured in two different units
unit rate
Rate in which the second quantity is one unit. A rate in which the denominator is 1.
equivalent ratios
Ratios that have the same value
percent
A rate per 100, part of 100, or out of 100
convert
To change from one form to another (Ex. fraction to percent)
proportion
An equation that states that two ratios are equivalent
3:2 or 3/2
What is the ratio of crabs to clams?
2:6 or 2/6
What is the ratio of dogs to cats?
4:1 or 4/1
What is the ratio of apples to oranges?
2 : 3 or 2/3
Blue hats : Red hats
1:1
What is the ratio of hamburgers to hot dogs?
3 : 2 or 3 to 2
What is the ratio of boys to girls
1 : 10 or 1 to 10
Snakes : Total Animals
1 : 8 or 1/8
Purple Crayon : Total Crayons
4 to 6
What is the ratio of girls to students?
If the ratio of girls to boys is 4:7, what is the ratio of girls to students?
4:11
equivalent ratio to 1:2
5:10
equivalent ratio to 3:4
6:12
equivalent ratio to 15:20
3:4
7
A job pays $56 for 8 hrs or work. What is the hourly rate?
14
John scores 84 points in 6 games. How many points on average does he score per game?
75
A 6 ounce blueberry muffin has 450 calories. How many calories are there per ounce?
3.50
A parking garage charges $21 for 6 hrs. How much do they charge per hour?
45
The Moskals want to drive 360 miles in 8 hrs. What is their average speed in miles per hour?
479
A plane travels 2395 miles in 5 hrs. What is the plane's average speed in miles per hour?
8.10
A 12 pack of juice boxes cost $5.40. How much would an 18 pack cost if the prices are proportional?
40
Paxton gets 8 hits out of his last 13 bats. If his average stays the same, how many hits will he get out of 65 bats?
80
A 3 ounce serving of chicken provides 24 grams of protein. How many grams of protein are in a 10 ounce serving of chicken?
1015
Honeybees produce 7 pounds of honey for each 1 pound of wax they make. How many pounds of honey is produced when 145 pounds of beeswax is produced?
50
If a furnace uses 40 gallons of oil in 8 days, how many gallons does it use in 10 days?
3.75
A cookie recipe calls for 2.5 cups of sugar and 4 eggs. If 6 eggs are used, how much sugar should be used?
8
1 cup = _______ ounces
16
1 pound = _______ ounces
2
1 pint = _________ cups
2
1 quart = ____ pints
4
1 gallon = _______ quarts
100
1 meter = _______ centimeters
1000
1 meter = ______ millimeters
1000
1 kilometer = ____ meters
3
1 tablespoon = ___ teaspoons
12
1 foot = ____ inches
3
1 foot = ____ inches
36
1 yard = _____ inches
5280
1 mile = ____ feet
9
1 gallon = ____ pints
16
1 gallon = ______ cups
6
1 fathom = how many feet?
52
1 year = _____ weeks
365
1 year = _____ full days (not a leap year)
60
1 hour = _____ minutes
1760
1 mile = ____ yards
unit rate
A rate that is simplified so that it has a denominator of 1
ratio
A comparison of two quantities by division
GCF
The greatest number that is a factor of two or more numbers
rate
A ratio comparing two quantities with different kinds of units
least common multiple
The least number that is a multiple of two or more whole numbers
10
The GCF of 10 and 40 is
24
The LCM of 6 and 8 is
1 to 3
Mrs. Thornley is selling candy bars. She had 3 Snickers bars and 9 Milky Way bars. What is the ratio Snickers to Milky Ways in simplest form?
2 to 7
On the first day of the food drive, Mr Woolner's classes brought in 6 cans of fruit, 4 cans of beans, and 4 can of soup. What is the ratio, in simplest form, of cans of beans to the total number of food items?
3:5
There were 9 dogs and 15 cats. Write the ratio of dogs to cats in simplest form.
4 tulips per minute
Maliya planted 48 tulips in 12 minutes. How many tulips did she plant per minute?
$3 per CD
Travis buys 6 CDs for $18. What is the unit rate?
5:8
5 to 8
5 out of 8
What are the three ways you can write the ratio for 5 girls and 8 boys?
The ratio of blue to all the other colors is 1 to 2
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