Question
Add and subtract rational numbers unit test math seven a
Answers
GPT-4o mini
Creating a unit test for adding and subtracting rational numbers for a seventh-grade math level involves a variety of problems that assess students' understanding of the concept. Below is an example unit test that includes a mix of multiple-choice, short answer, and word problems.
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### Unit Test: Adding and Subtracting Rational Numbers
**Name: ______________________ Date: ________________**
**Instructions**: Read each question carefully and answer to the best of your ability. Show all your work for full credit!
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### Part A: Multiple Choice (2 points each)
1. Which of the following is the sum of \(\frac{3}{4} + \frac{1}{4}\)?
- A) \(\frac{2}{4}\)
- B) \(\frac{1}{2}\)
- C) \(\frac{4}{4}\)
- D) 1
2. What is \(\frac{5}{6} - \frac{2}{3}\)?
- A) \(\frac{1}{6}\)
- B) \(\frac{1}{2}\)
- C) \(\frac{1}{3}\)
- D) \(\frac{3}{6}\)
3. If \(x = -\frac{1}{2}\), what is \(x + \frac{3}{4}\)?
- A) \(\frac{1}{4}\)
- B) \(-\frac{1}{4}\)
- C) \(-\frac{5}{4}\)
- D) \(\frac{5}{4}\)
### Part B: Short Answer (3 points each)
4. Calculate the following: \(\frac{7}{10} + \frac{2}{5}\)
5. Subtract: \(-\frac{3}{8} - \frac{1}{4}\)
6. Find the result: \(\frac{2}{3} + \left(-\frac{1}{6}\right)\)
### Part C: Word Problems (5 points each)
7. Sarah has \(\frac{5}{12}\) of a chocolate bar. She eats \(\frac{1}{8}\) of it. How much chocolate bar does she have left?
8. John is \(-\frac{2}{5}\) miles from the school. If he walks \(\frac{3}{10}\) miles toward school, how far is he from the school now?
### Part D: Mixed Problems (4 points each)
9. Solve: \(\frac{9}{10} - \frac{3}{5} + \frac{1}{2}\)
10. Jason's temperature reading was \(-\frac{1}{4}\) degrees at night, and it rose by \(\frac{5}{8}\) degrees in the morning. What was the temperature in the morning?
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### Total Points: ____ / 40
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**Answer Key:**
**Part A:**
1. D
2. A
3. A
**Part B:**
4. \(\frac{9}{10}\)
5. \(-\frac{5}{8}\)
6. \(\frac{1}{2}\)
**Part C:**
7. \(\frac{5}{12} - \frac{3}{24} = \frac{10}{24} - \frac{3}{24} = \frac{7}{24}\)
8. \(-\frac{2}{5} + \frac{3}{10} = -\frac{4}{10} + \frac{3}{10} = -\frac{1}{10}\) miles from school.
**Part D:**
9. \(\frac{9}{10} - \frac{6}{10} + \frac{5}{10} = \frac{8}{10} = \frac{4}{5}\)
10. \(-\frac{1}{4} + \frac{5}{8} = -\frac{2}{8} + \frac{5}{8} = \frac{3}{8}\)
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Make sure to customize the test as necessary, and provide adequate workspace for students to show their calculations. Good luck with your testing!
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### Unit Test: Adding and Subtracting Rational Numbers
**Name: ______________________ Date: ________________**
**Instructions**: Read each question carefully and answer to the best of your ability. Show all your work for full credit!
---
### Part A: Multiple Choice (2 points each)
1. Which of the following is the sum of \(\frac{3}{4} + \frac{1}{4}\)?
- A) \(\frac{2}{4}\)
- B) \(\frac{1}{2}\)
- C) \(\frac{4}{4}\)
- D) 1
2. What is \(\frac{5}{6} - \frac{2}{3}\)?
- A) \(\frac{1}{6}\)
- B) \(\frac{1}{2}\)
- C) \(\frac{1}{3}\)
- D) \(\frac{3}{6}\)
3. If \(x = -\frac{1}{2}\), what is \(x + \frac{3}{4}\)?
- A) \(\frac{1}{4}\)
- B) \(-\frac{1}{4}\)
- C) \(-\frac{5}{4}\)
- D) \(\frac{5}{4}\)
### Part B: Short Answer (3 points each)
4. Calculate the following: \(\frac{7}{10} + \frac{2}{5}\)
5. Subtract: \(-\frac{3}{8} - \frac{1}{4}\)
6. Find the result: \(\frac{2}{3} + \left(-\frac{1}{6}\right)\)
### Part C: Word Problems (5 points each)
7. Sarah has \(\frac{5}{12}\) of a chocolate bar. She eats \(\frac{1}{8}\) of it. How much chocolate bar does she have left?
8. John is \(-\frac{2}{5}\) miles from the school. If he walks \(\frac{3}{10}\) miles toward school, how far is he from the school now?
### Part D: Mixed Problems (4 points each)
9. Solve: \(\frac{9}{10} - \frac{3}{5} + \frac{1}{2}\)
10. Jason's temperature reading was \(-\frac{1}{4}\) degrees at night, and it rose by \(\frac{5}{8}\) degrees in the morning. What was the temperature in the morning?
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### Total Points: ____ / 40
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**Answer Key:**
**Part A:**
1. D
2. A
3. A
**Part B:**
4. \(\frac{9}{10}\)
5. \(-\frac{5}{8}\)
6. \(\frac{1}{2}\)
**Part C:**
7. \(\frac{5}{12} - \frac{3}{24} = \frac{10}{24} - \frac{3}{24} = \frac{7}{24}\)
8. \(-\frac{2}{5} + \frac{3}{10} = -\frac{4}{10} + \frac{3}{10} = -\frac{1}{10}\) miles from school.
**Part D:**
9. \(\frac{9}{10} - \frac{6}{10} + \frac{5}{10} = \frac{8}{10} = \frac{4}{5}\)
10. \(-\frac{1}{4} + \frac{5}{8} = -\frac{2}{8} + \frac{5}{8} = \frac{3}{8}\)
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Make sure to customize the test as necessary, and provide adequate workspace for students to show their calculations. Good luck with your testing!