Question
multiply and divide rational number unit test seventh-grade
Answers
GPT-4o mini
Certainly! Below is a sample unit test focused on multiplying and dividing rational numbers, suitable for seventh-grade students. The test includes a variety of question types to assess students' understanding.
---
### 7th Grade Rational Numbers Unit Test: Multiplication and Division
**Name:** ___________________________
**Date:** ___________________________
---
**Instructions:** Answer all questions. Show your work where necessary.
---
### Part A: Multiplying Rational Numbers
1. **(2 points)** Multiply the following:
\(\frac{3}{4} \times \frac{2}{5}\)
**Answer:** ____________________
2. **(2 points)** Calculate:
\(-\frac{7}{10} \times \frac{3}{8}\)
**Answer:** ____________________
3. **(3 points)** What is the product of the following rational numbers?
\(4 \times \left(-\frac{1}{3}\right)\)
**Answer:** ____________________
4. **(3 points)** Solve the multiplication:
\(\frac{-2}{5} \times \frac{-3}{4}\)
**Answer:** ____________________
---
### Part B: Dividing Rational Numbers
5. **(2 points)** Divide the following:
\(\frac{5}{6} \div \frac{2}{3}\)
**Answer:** ____________________
6. **(2 points)** Calculate:
\(-\frac{4}{5} \div \frac{2}{9}\)
**Answer:** ____________________
7. **(3 points)** What is the result of the division?
\(3 \div \left(-\frac{1}{4}\right)\)
**Answer:** ____________________
8. **(3 points)** Solve the division:
\(\frac{-5}{8} \div \frac{-2}{3}\)
**Answer:** ____________________
---
### Part C: Word Problems
9. **(4 points)** A recipe calls for \( \frac{3}{4} \) of a cup of sugar. If you want to make half of the recipe, how much sugar will you need?
**Answer:** ____________________
10. **(4 points)** A tank can be filled at a rate of \( \frac{1}{2} \) of a tank per hour. How many hours will it take to fill the entire tank?
**Answer:** ____________________
---
### Part D: Mixed Operations
11. **(5 points)** Simplify the expression:
\( \left(-\frac{3}{5} \times \frac{10}{3}\right) \div \left(-\frac{2}{9}\right) \)
**Answer:** ____________________
12. **(5 points)** Calculate:
\( \frac{2}{3} \times \frac{6}{7} \div \frac{1}{2} \)
**Answer:** ____________________
---
### Total Possible Points: 40
---
### Grading Rubric
- Correct answer: 1-5 points depending on the complexity.
- Partial credit can be given for showing work or partial solutions.
### Teacher's Comments:
______________________________________________________________________
______________________________________________________________________
---
**End of Test**
---
Feel free to adjust the numbers or the format based on your specific curriculum needs!
---
### 7th Grade Rational Numbers Unit Test: Multiplication and Division
**Name:** ___________________________
**Date:** ___________________________
---
**Instructions:** Answer all questions. Show your work where necessary.
---
### Part A: Multiplying Rational Numbers
1. **(2 points)** Multiply the following:
\(\frac{3}{4} \times \frac{2}{5}\)
**Answer:** ____________________
2. **(2 points)** Calculate:
\(-\frac{7}{10} \times \frac{3}{8}\)
**Answer:** ____________________
3. **(3 points)** What is the product of the following rational numbers?
\(4 \times \left(-\frac{1}{3}\right)\)
**Answer:** ____________________
4. **(3 points)** Solve the multiplication:
\(\frac{-2}{5} \times \frac{-3}{4}\)
**Answer:** ____________________
---
### Part B: Dividing Rational Numbers
5. **(2 points)** Divide the following:
\(\frac{5}{6} \div \frac{2}{3}\)
**Answer:** ____________________
6. **(2 points)** Calculate:
\(-\frac{4}{5} \div \frac{2}{9}\)
**Answer:** ____________________
7. **(3 points)** What is the result of the division?
\(3 \div \left(-\frac{1}{4}\right)\)
**Answer:** ____________________
8. **(3 points)** Solve the division:
\(\frac{-5}{8} \div \frac{-2}{3}\)
**Answer:** ____________________
---
### Part C: Word Problems
9. **(4 points)** A recipe calls for \( \frac{3}{4} \) of a cup of sugar. If you want to make half of the recipe, how much sugar will you need?
**Answer:** ____________________
10. **(4 points)** A tank can be filled at a rate of \( \frac{1}{2} \) of a tank per hour. How many hours will it take to fill the entire tank?
**Answer:** ____________________
---
### Part D: Mixed Operations
11. **(5 points)** Simplify the expression:
\( \left(-\frac{3}{5} \times \frac{10}{3}\right) \div \left(-\frac{2}{9}\right) \)
**Answer:** ____________________
12. **(5 points)** Calculate:
\( \frac{2}{3} \times \frac{6}{7} \div \frac{1}{2} \)
**Answer:** ____________________
---
### Total Possible Points: 40
---
### Grading Rubric
- Correct answer: 1-5 points depending on the complexity.
- Partial credit can be given for showing work or partial solutions.
### Teacher's Comments:
______________________________________________________________________
______________________________________________________________________
---
**End of Test**
---
Feel free to adjust the numbers or the format based on your specific curriculum needs!