Rate Word Problems

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 a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find the unit rate from a word problem?

Back

To find the unit rate, divide the total quantity by the number of units. For example, if 120 customers visit a store in 8 hours, the unit rate is 120 customers ÷ 8 hours = 15 customers per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If a factory produces 120 quarts in 10 hours, how many quarts does it produce in 1 hour?

Back

To find the production per hour, divide 120 quarts by 10 hours. The factory produces 12 quarts per hour.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can you use unit rates to compare prices?

Back

To compare prices, calculate the unit rate for each option. For example, if Oreos cost $2.98 for 15 oz, the unit rate is $2.98 ÷ 15 oz = $0.199 per oz. Compare this with another product's unit rate.

Tags

CCSS.6.RP.A.3B

Front

What is the formula to find the total cost when given a unit price?

Back

Total Cost = Unit Price × Quantity. For example, if apples cost $0.40 each, the total cost for 10 apples is $0.40 × 10 = $4.00.

Tags

CCSS.6.RP.A.3B

Front

If Justin types 408 words in 4 minutes, how many words can he type in 1 minute?

Back

To find the words per minute, divide 408 words by 4 minutes. Justin can type 102 words per minute.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the relationship between unit rates and proportions?

Back

Unit rates can be used to set up proportions. If two ratios are equivalent, their unit rates will also be equal.

Front

How do you solve a rate word problem involving time and distance?

Back

Use the formula: Rate = Distance ÷ Time. Rearrange to find Distance = Rate × Time or Time = Distance ÷ Rate.

Tags

CCSS.8.EE.C.7B

Front

What is a rate in mathematics?

Back

A rate is a ratio that compares two quantities with different units, such as miles per hour or cost per item.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you determine which product is a better deal using unit rates?

Back

Calculate the unit rate for each product and compare them. The product with the lower unit rate is the better deal.

Tags

CCSS.6.RP.A.3B