Add and subtract rational numbers unit test math seven a

Answer 1

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.

---

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?

---

Total Points: ____ / 40

---

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. \(-\frac{1}{4} + \frac{5}{8} = -\frac{2}{8} + \frac{5}{8} = \frac{3}{8}\)

---

Make sure to customize the test as necessary, and provide adequate workspace for students to show their calculations. Good luck with your testing!