Solve Unit Rate Problems - 6th Grade Math
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Identify the missing value: at $8$ items per minute, how many items in $6$ minutes?
Identify the missing value: at $8$ items per minute, how many items in $6$ minutes?
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$48$ items. Multiply rate by time: $8 \times 6 = 48$ items.
$48$ items. Multiply rate by time: $8 \times 6 = 48$ items.
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What is the unit rate for $\$15$ for $6$ pounds of rice (dollars per pound)?
What is the unit rate for $\$15$ for $6$ pounds of rice (dollars per pound)?
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$\$2.50$ per pound. Divide price by pounds: $$15 \div 6 = $2.50$ per pound.
$\$2.50$ per pound. Divide price by pounds: $$15 \div 6 = $2.50$ per pound.
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What is the gallons used in $3$ hours at $2.5$ gallons per hour?
What is the gallons used in $3$ hours at $2.5$ gallons per hour?
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$7.5$ gallons. Multiply rate by time: $2.5 \times 3 = 7.5$ gallons.
$7.5$ gallons. Multiply rate by time: $2.5 \times 3 = 7.5$ gallons.
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Identify the unit rate: $\frac{42 \text{miles}}{2 \text{hours}}$ simplified.
Identify the unit rate: $\frac{42 \text{miles}}{2 \text{hours}}$ simplified.
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$21$ miles per hour. Simplify the fraction: $\frac{42}{2} = 21$ miles per hour.
$21$ miles per hour. Simplify the fraction: $\frac{42}{2} = 21$ miles per hour.
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What is the distance traveled at $60$ mph for $2$ hours?
What is the distance traveled at $60$ mph for $2$ hours?
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$120$ miles. Multiply speed by time: $60 \times 2 = 120$ miles.
$120$ miles. Multiply speed by time: $60 \times 2 = 120$ miles.
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What is the number of miles in $4$ hours at $55$ miles per hour?
What is the number of miles in $4$ hours at $55$ miles per hour?
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$220$ miles. Multiply speed by time: $55 \times 4 = 220$ miles.
$220$ miles. Multiply speed by time: $55 \times 4 = 220$ miles.
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What is the number of lawns mowed in $35$ hours at $\frac{4}{7}$ lawns per hour?
What is the number of lawns mowed in $35$ hours at $\frac{4}{7}$ lawns per hour?
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$20$ lawns. Multiply rate by time: $\frac{4}{7} \times 35 = 20$ lawns.
$20$ lawns. Multiply rate by time: $\frac{4}{7} \times 35 = 20$ lawns.
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What is the unit rate for $300$ words in $5$ minutes (words per minute)?
What is the unit rate for $300$ words in $5$ minutes (words per minute)?
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$60$ words per minute. Divide words by minutes: $300 \div 5 = 60$ words per minute.
$60$ words per minute. Divide words by minutes: $300 \div 5 = 60$ words per minute.
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What is the cost per ounce for $\$6$ for a $24$-ounce bottle?
What is the cost per ounce for $\$6$ for a $24$-ounce bottle?
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$\$0.25$ per ounce. Divide price by ounces: $$6 \div 24 = $0.25$ per ounce.
$\$0.25$ per ounce. Divide price by ounces: $$6 \div 24 = $0.25$ per ounce.
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What is the better buy: $\$9$ for $3$ items or $$14$ for $5$ items?
What is the better buy: $\$9$ for $3$ items or $$14$ for $5$ items?
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$\$14$ for $5$ items. Compare unit prices: $$3$ vs $\$2.80$ per item; second is cheaper.
$\$14$ for $5$ items. Compare unit prices: $$3$ vs $\$2.80$ per item; second is cheaper.
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What is the unit rate for $18$ pages in $6$ minutes (minutes per page)?
What is the unit rate for $18$ pages in $6$ minutes (minutes per page)?
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$\frac{1}{3}$ minute per page. Divide minutes by pages: $6 \div 18 = \frac{1}{3}$ minute per page.
$\frac{1}{3}$ minute per page. Divide minutes by pages: $6 \div 18 = \frac{1}{3}$ minute per page.
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What is the unit rate for $4$ lawns in $7$ hours (lawns per hour)?
What is the unit rate for $4$ lawns in $7$ hours (lawns per hour)?
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$\frac{4}{7}$ lawns per hour. Divide lawns by hours: $\frac{4}{7}$ lawns each hour.
$\frac{4}{7}$ lawns per hour. Divide lawns by hours: $\frac{4}{7}$ lawns each hour.
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What is the time needed to travel $90$ miles at $45$ mph?
What is the time needed to travel $90$ miles at $45$ mph?
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$2$ hours. Divide distance by speed: $90 \div 45 = 2$ hours.
$2$ hours. Divide distance by speed: $90 \div 45 = 2$ hours.
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What is the unit rate for $4$ lawns in $7$ hours (hours per lawn)?
What is the unit rate for $4$ lawns in $7$ hours (hours per lawn)?
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$\frac{7}{4}$ hours per lawn. Divide hours by lawns: $\frac{7}{4}$ hours for each lawn.
$\frac{7}{4}$ hours per lawn. Divide hours by lawns: $\frac{7}{4}$ hours for each lawn.
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What is the formula for unit rate if the rate is $\frac{a}{b}$?
What is the formula for unit rate if the rate is $\frac{a}{b}$?
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Unit rate is $\frac{a}{b}$ per $1$ of $b$ units. Shows how to express any rate as amount per one unit.
Unit rate is $\frac{a}{b}$ per $1$ of $b$ units. Shows how to express any rate as amount per one unit.
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What is a unit rate, stated in words?
What is a unit rate, stated in words?
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A rate with a denominator of $1$ unit. Simplifies any rate to a per-one basis for easy comparison.
A rate with a denominator of $1$ unit. Simplifies any rate to a per-one basis for easy comparison.
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What is the cost for $5$ pounds of apples at $\$2$ per pound?
What is the cost for $5$ pounds of apples at $\$2$ per pound?
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$\$10$. Multiply unit price by quantity: $$2 \times 5 = $10$.
$\$10$. Multiply unit price by quantity: $$2 \times 5 = $10$.
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What is the constant speed for $150$ miles in $3$ hours?
What is the constant speed for $150$ miles in $3$ hours?
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$50$ miles per hour. Divide distance by time: $150 \div 3 = 50$ mph.
$50$ miles per hour. Divide distance by time: $150 \div 3 = 50$ mph.
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What is the unit rate in items per minute for $45$ items in $9$ minutes?
What is the unit rate in items per minute for $45$ items in $9$ minutes?
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$5$ items per minute. Divide total items by time: $45 \div 9 = 5$ items per minute.
$5$ items per minute. Divide total items by time: $45 \div 9 = 5$ items per minute.
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What is the unit rate in minutes per gallon for $12$ gallons in $4$ minutes?
What is the unit rate in minutes per gallon for $12$ gallons in $4$ minutes?
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$\frac{1}{3}$ minute per gallon. Divide time by gallons: $4 \div 12 = \frac{1}{3}$ minute per gallon.
$\frac{1}{3}$ minute per gallon. Divide time by gallons: $4 \div 12 = \frac{1}{3}$ minute per gallon.
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What is the unit rate in gallons per minute for $12$ gallons in $4$ minutes?
What is the unit rate in gallons per minute for $12$ gallons in $4$ minutes?
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$3$ gallons per minute. Divide gallons by minutes: $12 \div 4 = 3$ gallons per minute.
$3$ gallons per minute. Divide gallons by minutes: $12 \div 4 = 3$ gallons per minute.
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What is the unit rate in minutes per item for $9$ minutes for $45$ items?
What is the unit rate in minutes per item for $9$ minutes for $45$ items?
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$\frac{1}{5}$ minute per item. Divide time by items: $9 \div 45 = \frac{1}{5}$ minute per item.
$\frac{1}{5}$ minute per item. Divide time by items: $9 \div 45 = \frac{1}{5}$ minute per item.
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What distance is traveled at $60\ \text{mi/h}$ for $2$ hours?
What distance is traveled at $60\ \text{mi/h}$ for $2$ hours?
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$120$ miles. Multiply speed by time: $60 \times 2 = 120$ miles.
$120$ miles. Multiply speed by time: $60 \times 2 = 120$ miles.
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What time is needed to travel $180$ miles at $60\ \text{mi/h}$?
What time is needed to travel $180$ miles at $60\ \text{mi/h}$?
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$3$ hours. Divide distance by speed: $180 \div 60 = 3$ hours.
$3$ hours. Divide distance by speed: $180 \div 60 = 3$ hours.
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What is the unit price if $12$ apples cost $\$6$?
What is the unit price if $12$ apples cost $\$6$?
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$\$0.50$ per apple. Divide total cost by number of items: $$6 \div 12 = $0.50$.
$\$0.50$ per apple. Divide total cost by number of items: $$6 \div 12 = $0.50$.
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