Guided Practice: Ratios & Unit Rates
Work through these practice problems with step-by-step guidance. Use hints when you need help!
Your Progress
0 of 10 problems completed
Quick Review
Remember These Key Ideas
A ratio compares two quantities. A unit rate compares to 1.
Before You Start
- To find a unit rate: Divide to get "per 1" (e.g., $12 for 4 items = $3 per item)
- To find equivalent ratios: Multiply or divide both parts by the same number
- To compare rates: Find the unit rate for each, then compare
- Use hints if stuck: They'll guide you through the problem step by step
Set 1: Finding Unit Rates Easy
Find the unit rate for each problem. Remember to include the correct units!
1 Finding Cost Per Item
A pack of 8 markers costs $6.40. What is the cost per marker?
Strategy
To find the cost "per marker," divide the total cost by the number of markers.
2 Finding Speed
A train travels 350 miles in 5 hours. What is the train's speed in miles per hour?
Strategy
Speed = Distance / Time. Divide miles by hours to get miles per hour.
3 Finding Rate Per Hour
Sarah earns $54 for 6 hours of work. What is her hourly wage?
Strategy
Hourly wage means "per hour." Divide total earnings by hours worked.
Set 2: Finding Equivalent Ratios Easy
Find the missing value to complete each equivalent ratio.
4 Scaling Up a Recipe
A recipe uses 3 cups of flour for every 2 cups of sugar. If you use 6 cups of flour, how many cups of sugar do you need?
| Flour (cups) | 3 | 6 |
|---|---|---|
| Sugar (cups) | 2 | ? |
Strategy
Find the multiplier: 6 / 3 = 2. Apply the same multiplier to the sugar.
5 Map Scale
On a map, 1 inch represents 25 miles. How many miles does 4 inches represent?
| Inches | 1 | 4 |
|---|---|---|
| Miles | 25 | ? |
Set 3: Comparing Rates Medium
Find unit rates to compare and determine the better deal.
6 Best Price for Juice
Store A: 6 bottles of juice for $9.00
Store B: 8 bottles of juice for $10.40
Which store has the better price per bottle?
Strategy
Calculate the unit price for each store, then compare.
7 Faster Runner
Runner A completes 12 miles in 2 hours.
Runner B completes 20 miles in 4 hours.
Who runs faster (higher miles per hour)?
Set 4: Multi-Step Problems Challenge
These problems require multiple steps. Take your time!
8 Planning a Party
Pizza costs $12 per pizza and each pizza feeds 3 people. How much will it cost to feed 15 people?
Strategy
Step 1: Find how many pizzas are needed (15 people / 3 per pizza).
Step 2: Calculate total cost (pizzas x $12).
9 Road Trip Planning
A car uses 4 gallons of gas to travel 120 miles. Gas costs $3.50 per gallon. How much will gas cost for a 300-mile trip?
Strategy
Step 1: Find miles per gallon (120 / 4).
Step 2: Find gallons needed for 300 miles.
Step 3: Calculate cost (gallons x $3.50).
10 Paint Coverage
One gallon of paint covers 400 square feet. A room has 4 walls, each measuring 10 feet by 8 feet. How many gallons of paint are needed to cover all the walls?
Strategy
Step 1: Find area of one wall (10 x 8).
Step 2: Find total area (4 walls).
Step 3: Divide by coverage per gallon.
Great Work!
Skills You Practiced
- Finding unit rates by dividing
- Using ratio tables to find equivalent ratios
- Comparing rates to find the better deal
- Solving multi-step problems with ratios and rates