Unit Rate, Rates & Proportions

Flashcard
•
Mathematics
•
7th Grade
•
Hard
+4
Standards-aligned
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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.
Tags
CCSS.6.RP.A.1
CCSS.6.RP.A.2
2.
FLASHCARD QUESTION
Front
How do you calculate the unit cost of an item?
Back
To calculate the unit cost, divide the total cost by the number of items. For example, if 15 pizzas cost $97.50, the unit cost per pizza is $97.50 ÷ 15 = $6.50.
Tags
CCSS.6.RP.A.1
CCSS.6.RP.A.2
3.
FLASHCARD QUESTION
Front
What is a proportion?
Back
A proportion is an equation that states that two ratios are equal. For example, if 1/2 = 2/4, then these two ratios are in proportion.
Tags
CCSS.7.RP.A.2B
4.
FLASHCARD QUESTION
Front
If a car travels 195 miles in 3 hours, what is its speed in miles per hour?
Back
The speed is calculated by dividing the distance by the time. So, 195 miles ÷ 3 hours = 65 miles per hour.
Tags
CCSS.6.RP.A.1
CCSS.6.RP.A.2
5.
FLASHCARD QUESTION
Front
How do you find the total distance traveled if you know the speed and time?
Back
Multiply the speed by the time. For example, if a car travels at 65 miles per hour for 5 hours, the total distance is 65 miles/hour × 5 hours = 325 miles.
Tags
CCSS.6.RP.A.3B
6.
FLASHCARD QUESTION
Front
What is the formula for calculating the rate?
Back
Rate = Quantity / Time. For example, if you earn $96 for mowing 8 lawns, the rate is $96 ÷ 8 lawns = $12 per lawn.
Tags
CCSS.6.RP.A.2
CCSS.6.RP.A.1
7.
FLASHCARD QUESTION
Front
If it snows at a rate of 3 inches per hour, how much snow will accumulate in 2.5 hours?
Back
To find the total accumulation, multiply the rate by the time: 3 inches/hour × 2.5 hours = 7.5 inches.
Tags
CCSS.7.EE.B.3
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