Sure! Here's a sample unit test on adding and subtracting rational numbers. This test includes a variety of question types, including multiple choice, fill-in-the-blank, and word problems.
Add & Subtract Rational Numbers Unit Test
Name: ______________________
Date: ______________________
Instructions: Show all work where applicable. Circle your answers for multiple choice questions.
Part A: Multiple Choice (1 point each)
-
What is \( \frac{3}{4} + \frac{2}{3} \)? a) \( \frac{17}{12} \)
b) \( \frac{1}{12} \)
c) \( \frac{5}{7} \)
d) \( 1 \) -
What is \( -\frac{5}{6} - \frac{1}{2} \)? a) \( -\frac{4}{3} \)
b) \( -\frac{1}{3} \)
c) \( -\frac{2}{3} \)
d) \( \frac{7}{12} \) -
Which of the following is equal to \( \frac{1}{4} + \frac{3}{8} \)? a) \( \frac{5}{8} \)
b) \( \frac{1}{2} \)
c) \( \frac{7}{32} \)
d) \( \frac{3}{4} \)
Part B: Fill in the Blanks (2 points each)
-
\( \frac{7}{10} - \frac{2}{5} = \frac{7}{10} - \frac{4}{10} = \frac{}{} \)
-
\( -\frac{3}{5} + \frac{1}{5} = \frac{}{} \)
Part C: Show Your Work (3 points each)
-
Calculate \( \frac{5}{6} + -\frac{2}{3} \). Show all steps clearly.
Answer: _____________________________________________________
-
Calculate \( -\frac{7}{8} - \frac{1}{4} \). Show all steps clearly.
Answer: _____________________________________________________
Part D: Word Problems (4 points each)
-
Sarah has \( \frac{3}{5} \) of a cake left. She gives away \( \frac{1}{10} \) of the cake to her friend. How much cake does Sarah have left?
Answer: _____________________________________________________
-
A recipe calls for \( \frac{2}{3} \) cup of sugar. If Anna uses \( \frac{1}{4} \) cup of sugar, how much sugar does she have left?
Answer: _____________________________________________________
Grading Rubric:
- Part A: 3 points total
- Part B: 4 points total
- Part C: 6 points total
- Part D: 8 points total
Total Possible Points: 21
Answer Key:
Part A:
- a) \( \frac{17}{12} \)
- a) \( -\frac{4}{3} \)
- a) \( \frac{5}{8} \)
Part B: 4. 3, 10 5. -2, 5
Part C: 6. \( \frac{5}{6} + -\frac{4}{6} = \frac{1}{6} \) 7. \( -\frac{7}{8} - \frac{2}{8} = -\frac{9}{8} = -1 \frac{1}{8} \)
Part D: 8. \( \frac{3}{5} - \frac{1}{10} = \frac{6}{10} - \frac{1}{10} = \frac{5}{10} = \frac{1}{2} \) 9. \( \frac{2}{3} - \frac{1}{4} = \frac{8}{12} - \frac{3}{12} = \frac{5}{12} \)
Feel free to adjust the test as needed for your specific requirements!
1 answer