Sure! Here is a real numbers test with answers:

### Real Numbers Test

1. **Identify the type of number:**

   - Is ( sqrt{2} ) rational or irrational?

   - Answer: **Irrational**

2. **Simplify the expression:**

   - ( 7 + 3.5 )

   - Answer: **10.5**

3. **Find the product:**

   - ( -6 imes 4.2 )

   - Answer: **-25.2**

4. **Convert the fraction to a decimal:**

   - ( frac{7}{8} )

   - Answer: **0.875**

5. **Solve the equation:**

   - ( 5x - 3 = 2x + 9 )

   - Answer: ( x = 4 )

6. **Evaluate the expression:**

   - ( (2.5)^2 )

   - Answer: **6.25**

7. **Find the quotient:**

   - ( frac{15.6}{3} )

   - Answer: **5.2**

8. **Identify the interval notation:**

   - Describe the set of all real numbers greater than -2 and less than or equal to 5.

   - Answer: **((-2, 5])**

9. **Determine the absolute value:**

   - ( |-7.3| )

   - Answer: **7.3**

10. **Solve the inequality:**

    - ( 3x + 4 leq 10 )

    - Answer: ( x leq 2 )

11. **Find the square root:**

    - ( sqrt{49} )

    - Answer: **7**

12. **Express in scientific notation:**

    - ( 0.00045 )

    - Answer: **(4.5 imes 10^{-4})**

13. **Find the reciprocal:**

    - ( frac{2}{5} )

    - Answer: **( frac{5}{2} )**

14. **Calculate the sum:**

    - ( -3.7 + 8.6 )

    - Answer: **4.9**

15. **Evaluate the expression with a negative exponent:**

    - ( 2^{-3} )

    - Answer: **( frac{1}{8} )**

16. **Identify the properties:**

    - Which property of real numbers is illustrated by the equation ( 4 + (-4) = 0 )?

    - Answer: **Additive Inverse Property**

17. **Simplify the fraction:**

    - ( frac{36}{48} )

    - Answer: **( frac{3}{4} )**

18. **Find the cube root:**

    - ( sqrt[3]{27} )

    - Answer: **3**

19. **Solve the system of equations:**

    - ( x + y = 7 )

    - ( x - y = 3 )

    - Answer: ( x = 5, y = 2 )

20. **Approximate to two decimal places:**

    - ( pi )

    - Answer: **3.14**

Feel free to use these questions and answers for practice or assessment!