Direction: Let x and y be an integer. Justifyyour answers to each of the following questions by using somedefinitions in basic number theory.

1. Is 8x + 6y even numbers?

2. is 2x² + 6y + 3 is odd?

3. If x and y are positive, is x² + 2xy +y² prime?

4. Is -6 factor of 48?

5. IS x²-1 is odd numbers?

6. If y is odd, then y + y + y is odd?

7. Is 36 multiples of 4?

8. Is the square root of 4 is a positive integer and primenumber?

9. Is 9/5 is a rational number?

10. Is 24 mod 5 is 4?