Unit Rates Review

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What is a unit rate?

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A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'x per 1 y'. For example, if a car travels 300 miles on 10 gallons of gas, the unit rate is 30 miles per gallon.

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How do you calculate the unit rate from a total quantity?

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To calculate the unit rate, divide the total quantity by the number of units. For example, if there are 108 pencils for 27 students, the unit rate is 108 ÷ 27 = 4 pencils per student.

Front

What is the formula for finding miles per gallon?

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The formula for finding miles per gallon is: Miles per gallon = Total miles driven ÷ Total gallons of gas used.

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How do you determine which product is a better deal based on price per ounce?

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To determine which product is a better deal, calculate the price per ounce for each product by dividing the total price by the total ounces. Compare the two prices to see which is lower.

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If a dog eats 1/3 of a bag of food in 1/2 week, how do you find out how much it eats in 1 week?

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To find out how much the dog eats in 1 week, multiply the amount eaten in 1/2 week by 2. In this case, 1/3 bag in 1/2 week means 2/3 bag in 1 week.

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What is the unit rate for Alycia's earnings?

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To find Alycia's unit rate in dollars per hour, divide her total earnings by the total hours worked. For example, $20.40 ÷ 3 hours = $6.80 per hour.

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What is the significance of unit rates in real-life applications?

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Unit rates help compare different quantities in real-life situations, such as pricing, speed, and efficiency, making it easier to make informed decisions.

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How can you express a ratio as a unit rate?

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To express a ratio as a unit rate, simplify the ratio to show the quantity of one item per one unit of another item. For example, a ratio of 4:1 can be expressed as 4 units of the first item per 1 unit of the second item.

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What is the relationship between unit rates and proportions?

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Unit rates are a specific type of proportion where one of the quantities is set to one. They help in solving problems involving proportional relationships.

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How do you convert a fraction to a unit rate?

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To convert a fraction to a unit rate, divide the numerator by the denominator to find the equivalent decimal or whole number that represents the rate per one unit.