Question
Unit Rates & Proportions Unit Test
Answers
GPT-4o mini
Creating a unit test on unit rates and proportions involves various types of questions, including multiple-choice, short answer, and problem-solving questions. Below is a sample unit test that you can use or modify as needed.
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**Unit Rates & Proportions Unit Test**
**Name: _______________________ Date: _______________**
**Instructions:** Answer all questions. Show your work for full credit.
### Part A: Multiple Choice (2 points each)
1. If 3 apples cost $2.70, what is the cost of 1 apple?
- A) $0.90
- B) $1.00
- C) $0.80
- D) $0.75
2. A car travels 300 miles using 10 gallons of gas. What is the unit rate for miles per gallon?
- A) 15 miles/gallon
- B) 30 miles/gallon
- C) 25 miles/gallon
- D) 20 miles/gallon
3. If a recipe requires 4 cups of flour for 2 cakes, how much flour is needed for 5 cakes?
- A) 10 cups
- B) 8 cups
- C) 6 cups
- D) 12 cups
### Part B: Short Answer (3 points each)
4. A runner completes a marathon in 4 hours and runs a total distance of 26.2 miles. Calculate the runner's average speed in miles per hour (mph).
**Answer: _______________**
5. If a shipping company charges $5 for the first pound and $2 for each additional pound, what will be the total cost to ship a 6-pound package?
**Answer: _______________**
### Part C: Solve the Problems (5 points each)
6. A school sells 24 tickets for a field trip at a total cost of $480. Determine the unit cost per ticket.
**Show your work:**
**Answer: _______________**
7. If the ratio of cats to dogs in a shelter is 3:5, and there are 45 dogs, how many cats are there?
**Show your work:**
**Answer: _______________**
### Part D: Application (7 points each)
8. You are planning a party and need to buy drinks. A pack of 12 cans costs $4.50. If you need enough cans for 35 guests and each guest will have 2 cans, will you have enough cans if you buy 3 packs? Justify your answer with calculations.
**Show your work:**
**Answer: _______________**
9. A map has a scale of 1 inch to 15 miles. If two cities are 3.5 inches apart on the map, how far apart are they in reality?
**Show your work:**
**Answer: _______________**
### Extra Credit (5 points)
10. A car's fuel efficiency is given as 24 miles per gallon. If the car has a 12-gallon tank, how far can the car travel on a full tank of gas?
**Answer: _______________**
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**Scoring:**
- Part A: ____ / 6
- Part B: ____ / 6
- Part C: ____ / 10
- Part D: ____ / 14
- Extra Credit: ____ / 5
- Total: ____ / 41
---
Feel free to adjust the questions, point values, or formatting to meet your specific needs!
---
**Unit Rates & Proportions Unit Test**
**Name: _______________________ Date: _______________**
**Instructions:** Answer all questions. Show your work for full credit.
### Part A: Multiple Choice (2 points each)
1. If 3 apples cost $2.70, what is the cost of 1 apple?
- A) $0.90
- B) $1.00
- C) $0.80
- D) $0.75
2. A car travels 300 miles using 10 gallons of gas. What is the unit rate for miles per gallon?
- A) 15 miles/gallon
- B) 30 miles/gallon
- C) 25 miles/gallon
- D) 20 miles/gallon
3. If a recipe requires 4 cups of flour for 2 cakes, how much flour is needed for 5 cakes?
- A) 10 cups
- B) 8 cups
- C) 6 cups
- D) 12 cups
### Part B: Short Answer (3 points each)
4. A runner completes a marathon in 4 hours and runs a total distance of 26.2 miles. Calculate the runner's average speed in miles per hour (mph).
**Answer: _______________**
5. If a shipping company charges $5 for the first pound and $2 for each additional pound, what will be the total cost to ship a 6-pound package?
**Answer: _______________**
### Part C: Solve the Problems (5 points each)
6. A school sells 24 tickets for a field trip at a total cost of $480. Determine the unit cost per ticket.
**Show your work:**
**Answer: _______________**
7. If the ratio of cats to dogs in a shelter is 3:5, and there are 45 dogs, how many cats are there?
**Show your work:**
**Answer: _______________**
### Part D: Application (7 points each)
8. You are planning a party and need to buy drinks. A pack of 12 cans costs $4.50. If you need enough cans for 35 guests and each guest will have 2 cans, will you have enough cans if you buy 3 packs? Justify your answer with calculations.
**Show your work:**
**Answer: _______________**
9. A map has a scale of 1 inch to 15 miles. If two cities are 3.5 inches apart on the map, how far apart are they in reality?
**Show your work:**
**Answer: _______________**
### Extra Credit (5 points)
10. A car's fuel efficiency is given as 24 miles per gallon. If the car has a 12-gallon tank, how far can the car travel on a full tank of gas?
**Answer: _______________**
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**Scoring:**
- Part A: ____ / 6
- Part B: ____ / 6
- Part C: ____ / 10
- Part D: ____ / 14
- Extra Credit: ____ / 5
- Total: ____ / 41
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Feel free to adjust the questions, point values, or formatting to meet your specific needs!