Unit rate examples with step-by-step solutions

📚 Quick Study Guide

• 💰 Definition: A unit rate compares a quantity to one unit of another quantity. For example, miles per hour (mph) or cost per item.
• ➗ Calculation: To find a unit rate, divide the first quantity by the second quantity.
• 🏷️ Example: If 5 apples cost $2.50, the unit rate (cost per apple) is $\frac{$2.50}{5} = $0.50$ per apple.
• 🚀 Applications: Unit rates are used for comparing prices, calculating speed, and determining the concentration of solutions.
• 📏 Formula: Unit Rate = $\frac{\text{Quantity 1}}{\text{Quantity 2}}$. Then simplify so Quantity 2 = 1.

✍️ Practice Quiz

1. What is the unit rate if you travel 120 miles in 3 hours?
   1. 30 miles per hour
   2. 40 miles per hour
   3. 60 miles per hour
   4. 120 miles per hour
2. If 6 oranges cost $3.00, what is the cost per orange?
   1. $0.25
   2. $0.50
   3. $1.00
   4. $1.50
3. A store sells 4 notebooks for $8.00. What is the unit price of each notebook?
   1. $1.00
   2. $2.00
   3. $3.00
   4. $4.00
4. What is the unit rate if a machine produces 500 items in 5 hours?
   1. 50 items per hour
   2. 100 items per hour
   3. 250 items per hour
   4. 1000 items per hour
5. If you earn $60 for working 8 hours, what is your hourly rate?
   1. $6.50 per hour
   2. $7.00 per hour
   3. $7.50 per hour
   4. $8.00 per hour
6. A recipe requires 2 cups of flour for every 16 cookies. What is the amount of flour needed per cookie?
   1. $\frac{1}{4}$ cup
   2. $\frac{1}{8}$ cup
   3. $\frac{1}{12}$ cup
   4. $\frac{1}{16}$ cup
7. If a car travels 300 miles on 10 gallons of gas, what is the car's gas mileage in miles per gallon?
   1. 10 mpg
   2. 20 mpg
   3. 30 mpg
   4. 40 mpg