Unit Rates and Comparing Unit Rates
Flashcard
•
Mathematics
•
7th Grade
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
What is a unit rate?
Back
A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if you travel 60 miles in 2 hours, the unit rate is 30 miles per hour.
2.
FLASHCARD QUESTION
Front
How do you calculate a unit rate from a fraction?
Back
To calculate a unit rate from a fraction, divide the numerator by the denominator and then multiply by the appropriate factor to express it per one unit. For example, for 5/8 pages in 2/3 minutes, calculate (5/8) ÷ (2/3) = (5/8) * (3/2) = 15/16 pages per minute.
3.
FLASHCARD QUESTION
Front
What is the formula to find the price per unit?
Back
The formula to find the price per unit is: Price per unit = Total price / Number of units. For example, if you pay $15 for 6 gallons, the price per gallon is $15 / 6 = $2.50.
4.
FLASHCARD QUESTION
Front
How do you compare unit prices to determine the better deal?
Back
To compare unit prices, calculate the unit price for each option and then compare these values. The option with the lower unit price is the better deal.
5.
FLASHCARD QUESTION
Front
What is an example of a unit rate in a real-world context?
Back
An example of a unit rate in a real-world context is the speed of a car, such as 60 miles per hour, which indicates how many miles the car travels in one hour.
6.
FLASHCARD QUESTION
Front
What does it mean if a rate is not a unit rate?
Back
If a rate is not a unit rate, it means that the comparison is not expressed per one unit. For example, '27 sandwiches in 3 weeks' is not a unit rate because it does not express the number of sandwiches per one week.
7.
FLASHCARD QUESTION
Front
How can you convert a complex fraction to a unit rate?
Back
To convert a complex fraction to a unit rate, simplify the fraction by dividing the numerator by the denominator, and then express the result in terms of one unit.
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