Grade 7 Rates and Unit Rates

Front

What is a rate?

Back

A rate is a ratio that compares two different quantities, typically expressed as a fraction.

Front

What is a unit rate?

Back

A unit rate is a rate in which the second quantity is one unit, often used to express how much of one quantity corresponds to one unit of another quantity.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the first quantity by the second quantity, ensuring the second quantity is one.

Front

If Duff can wash 95 cars in 5 days, how do you find the number of cars washed per day?

Back

Divide the total number of cars (95) by the number of days (5) to find the unit rate: 95 ÷ 5 = 19 cars per day.

Front

What is the unit rate if you spend $40 on 5 pounds of concrete?

Back

The unit rate is calculated by dividing the total cost ($40) by the total weight (5 pounds): $40 ÷ 5 = $8 per pound.

Front

What is the formula for solving proportions?

Back

The formula for solving proportions is a/b = c/d, where a, b, c, and d are numbers, and you can cross-multiply to find the unknown.

Front

What does it mean to solve a proportion?

Back

To solve a proportion means to find the value of the unknown variable that makes the two ratios equivalent.

Front

If k is unknown in the proportion 8/10 = k/5, how do you solve for k?

Back

Cross-multiply to get 8 * 5 = 10 * k, which simplifies to 40 = 10k. Then divide both sides by 10 to find k = 4.

Front

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

Back

Unit rates help compare prices, speeds, and other quantities, making it easier to make informed decisions.

Front

How can you identify a unit rate from a list of rates?

Back

A unit rate will have a denominator of 1 when expressed as a fraction, indicating the quantity per one unit of the other quantity.