Question

Unit Rates & Proportions Unit Test

Answer 1

Sure! Here’s a practice unit test on unit rates and proportions. It will include a variety of question types, including multiple choice, short answer, and word problems.

### Unit Rates & Proportions Unit Test

**Name: ________________________ Date: _________________**

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### Part 1: Multiple Choice (1 point each)

1. Which of the following shows a unit rate?
a. 60 miles in 2 hours
b. 50 apples for $5
c. 3 cups of flour for a recipe
d. 45 miles per hour

2. What is the unit rate if you can buy 8 bananas for $4?
a. $0.50 per banana
b. $0.25 per banana
c. $2 per banana
d. $1 per banana

3. If a car travels 240 miles in 4 hours, what is the speed in miles per hour?
a. 50 mph
b. 60 mph
c. 70 mph
d. 80 mph

4. What proportion represents the relationship between 3 days and 72 hours?
a. \( \frac{3}{72} = \frac{1}{24} \)
b. \( \frac{72}{3} = \frac{1}{24} \)
c. \( \frac{3}{72} = \frac{24}{1} \)
d. \( \frac{72}{3} = \frac{24}{1} \)

5. If it costs $12 for 4 pounds of apples, what is the unit price per pound?
a. $3
b. $2
c. $1
d. $4

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### Part 2: Short Answer (2 points each)

6. Find the unit rate for the following situation: A car uses 15 gallons of gas to travel 300 miles. How many miles can the car travel per gallon of gas?

7. If the ratio of cats to dogs in a pet store is 5 to 3, and there are 15 cats, how many dogs are there?

8. A recipe requires 2 cups of sugar for 3 cakes. How much sugar is needed for 12 cakes?

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### Part 3: Word Problems (3 points each)

9. A train travels 180 miles in 3 hours. If it continues at the same speed, how far will it travel in 5 hours?

10. You buy 10 notebooks for $30. If you want to buy 50 notebooks, how much will it cost?

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### Total Points: ___________ / 25

### Answer Key (for grading)

**Part 1:**
1. d
2. a
3. b
4. a
5. b

**Part 2:**
6. 20 miles per gallon (300 miles / 15 gallons)
7. 9 dogs (ratio of 5:3 means 3/5 of cats, so 15 x (3/5) = 9)
8. 8 cups (2 cups for 3 cakes, so 2 × (12/3) = 8)

**Part 3:**
9. 300 miles (180 miles / 3 hours = 60 mph; 60mph × 5 hours = 300 miles)
10. $150 (30 / 10 = $3 per notebook; $3 × 50 = $150)

Feel free to use or modify the test questions as needed! If you require additional questions or specific topics to be covered, let me know!